Datasets:
chloeli
/
stream-of-search-countdown-10k

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
search_path
stringlengths
48
108k
rating
float64
0
1
search_type
stringclasses
6 values
optimal_path
stringlengths
361
529
heuristic
stringclasses
2 values
messages
listlengths
2
2
[ 57, 93, 97, 30 ]
91
[ "93-57=36", "97+30=127", "127-36=91" ]
Current State: 91:[57, 93, 97, 30], Operations: [] Exploring Operation: 57+30=87, Resulting Numbers: [93, 97, 87] Generated Node #0,0: 91:[93, 97, 87] Operation: 57+30=87 Moving to Node #0,0 Current State: 91:[93, 97, 87], Operations: ['57+30=87'] Exploring Operation: 97-87=10, Resulting Numbers: [93, 10] Generated Node #0,0,0: 91:[93, 10] Operation: 97-87=10 Moving to Node #0,0,0 Current State: 91:[93, 10], Operations: ['57+30=87', '97-87=10'] Exploring Operation: 93-10=83, Resulting Numbers: [83] 83,91 unequal: No Solution Moving to Node #0,0,0 Current State: 91:[93, 10], Operations: ['57+30=87', '97-87=10'] Exploring Operation: 93+10=103, Resulting Numbers: [103] 103,91 unequal: No Solution Moving to Node #0,0 Current State: 91:[93, 97, 87], Operations: ['57+30=87'] Exploring Operation: 97-93=4, Resulting Numbers: [87, 4] Generated Node #0,0,1: 91:[87, 4] Operation: 97-93=4 Moving to Node #0,0,1 Current State: 91:[87, 4], Operations: ['57+30=87', '97-93=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
0.993924
dfs
Current State: 91:[57, 93, 97, 30], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [97, 30, 36] Generated Node #2: [97, 30, 36] from Operation: 93-57=36 Current State: 91:[97, 30, 36], Operations: ['93-57=36'] Exploring Operation: 97+30=127, Resulting Numbers: [36, 127] Generated Node #3: [36, 127] from Operation: 97+30=127 Current State: 91:[36, 127], Operations: ['93-57=36', '97+30=127'] Exploring Operation: 127-36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
mult_heuristic
[ { "content": "Make 91 with the numbers [57, 93, 97, 30] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 91:[57, 93, 97, 30], Operations: []\nExploring Operation: 57+30=87, Resulting Numbers: [93, 97, 87]\nGenerated Node #0,0: 91:[93, 97, 87] Operation: 57+30=87\nMoving to Node #0,0\nCurrent State: 91:[93, 97, 87], Operations: ['57+30=87']\nExploring Operation: 97-87=10, Resulting Numbers: [93, 10]\nGenerated Node #0,0,0: 91:[93, 10] Operation: 97-87=10\nMoving to Node #0,0,0\nCurrent State: 91:[93, 10], Operations: ['57+30=87', '97-87=10']\nExploring Operation: 93-10=83, Resulting Numbers: [83]\n83,91 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 91:[93, 10], Operations: ['57+30=87', '97-87=10']\nExploring Operation: 93+10=103, Resulting Numbers: [103]\n103,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[93, 97, 87], Operations: ['57+30=87']\nExploring Operation: 97-93=4, Resulting Numbers: [87, 4]\nGenerated Node #0,0,1: 91:[87, 4] Operation: 97-93=4\nMoving to Node #0,0,1\nCurrent State: 91:[87, 4], Operations: ['57+30=87', '97-93=4']\nExploring Operation: 87+4=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached\n", "role": "assistant" } ]
[ 83, 50, 73, 69 ]
80
[ "73-50=23", "69/23=3", "83-3=80" ]
Current State: 80:[83, 50, 73, 69], Operations: [] Exploring Operation: 50+69=119, Resulting Numbers: [83, 73, 119] Generated Node #0,0: 80:[83, 73, 119] Operation: 50+69=119 Moving to Node #0,0 Current State: 80:[83, 73, 119], Operations: ['50+69=119'] Exploring Operation: 119-73=46, Resulting Numbers: [83, 46] Generated Node #0,0,0: 80:[83, 46] Operation: 119-73=46 Moving to Node #0,0,0 Current State: 80:[83, 46], Operations: ['50+69=119', '119-73=46'] Exploring Operation: 83-46=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,0,0 Current State: 80:[83, 46], Operations: ['50+69=119', '119-73=46'] Exploring Operation: 83+46=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0,0 Current State: 80:[83, 73, 119], Operations: ['50+69=119'] Exploring Operation: 119-83=36, Resulting Numbers: [73, 36] Generated Node #0,0,1: 80:[73, 36] Operation: 119-83=36 Moving to Node #0,0,1 Current State: 80:[73, 36], Operations: ['50+69=119', '119-83=36'] Exploring Operation: 73+36=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,0,1 Current State: 80:[73, 36], Operations: ['50+69=119', '119-83=36'] Exploring Operation: 73-36=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,0 Current State: 80:[83, 73, 119], Operations: ['50+69=119'] Exploring Operation: 83-73=10, Resulting Numbers: [119, 10] Generated Node #0,0,2: 80:[119, 10] Operation: 83-73=10 Moving to Node #0,0,2 Current State: 80:[119, 10], Operations: ['50+69=119', '83-73=10'] Exploring Operation: 119-10=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,0,2 Current State: 80:[119, 10], Operations: ['50+69=119', '83-73=10'] Exploring Operation: 119+10=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0,0 Current State: 80:[83, 73, 119], Operations: ['50+69=119'] Exploring Operation: 83+73=156, Resulting Numbers: [119, 156] Generated Node #0,0,3: 80:[119, 156] Operation: 83+73=156 Moving to Node #0,0,3 Current State: 80:[119, 156], Operations: ['50+69=119', '83+73=156'] Exploring Operation: 156-119=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,0 Current State: 80:[83, 73, 119], Operations: ['50+69=119'] Exploring Operation: 73+119=192, Resulting Numbers: [83, 192] Generated Node #0,0,4: 80:[83, 192] Operation: 73+119=192 Moving to Node #0,0,4 Current State: 80:[83, 192], Operations: ['50+69=119', '73+119=192'] Exploring Operation: 192-83=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,0 Current State: 80:[83, 73, 119], Operations: ['50+69=119'] Exploring Operation: 83+119=202, Resulting Numbers: [73, 202] Generated Node #0,0,5: 80:[73, 202] Operation: 83+119=202 Moving to Node #0,0,5 Current State: 80:[73, 202], Operations: ['50+69=119', '83+119=202'] Exploring Operation: 202-73=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0 Current State: 80:[83, 50, 73, 69], Operations: [] Exploring Operation: 50+73=123, Resulting Numbers: [83, 69, 123] Generated Node #0,1: 80:[83, 69, 123] Operation: 50+73=123 Moving to Node #0,1 Current State: 80:[83, 69, 123], Operations: ['50+73=123'] Exploring Operation: 123-69=54, Resulting Numbers: [83, 54] Generated Node #0,1,0: 80:[83, 54] Operation: 123-69=54 Moving to Node #0,1,0 Current State: 80:[83, 54], Operations: ['50+73=123', '123-69=54'] Exploring Operation: 83-54=29, Resulting Numbers: [29] 29,80 unequal: No Solution Moving to Node #0,1,0 Current State: 80:[83, 54], Operations: ['50+73=123', '123-69=54'] Exploring Operation: 83+54=137, Resulting Numbers: [137] 137,80 unequal: No Solution Moving to Node #0,1 Current State: 80:[83, 69, 123], Operations: ['50+73=123'] Exploring Operation: 123-83=40, Resulting Numbers: [69, 40] Generated Node #0,1,1: 80:[69, 40] Operation: 123-83=40 Moving to Node #0,1,1 Current State: 80:[69, 40], Operations: ['50+73=123', '123-83=40'] Exploring Operation: 69+40=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,1,1 Current State: 80:[69, 40], Operations: ['50+73=123', '123-83=40'] Exploring Operation: 69-40=29, Resulting Numbers: [29] 29,80 unequal: No Solution Moving to Node #0,1 Current State: 80:[83, 69, 123], Operations: ['50+73=123'] Exploring Operation: 83-69=14, Resulting Numbers: [123, 14] Generated Node #0,1,2: 80:[123, 14] Operation: 83-69=14 Moving to Node #0,1,2 Current State: 80:[123, 14], Operations: ['50+73=123', '83-69=14'] Exploring Operation: 123-14=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,1,2 Current State: 80:[123, 14], Operations: ['50+73=123', '83-69=14'] Exploring Operation: 123+14=137, Resulting Numbers: [137] 137,80 unequal: No Solution Moving to Node #0,1 Current State: 80:[83, 69, 123], Operations: ['50+73=123'] Exploring Operation: 83+69=152, Resulting Numbers: [123, 152] Generated Node #0,1,3: 80:[123, 152] Operation: 83+69=152 Moving to Node #0,1,3 Current State: 80:[123, 152], Operations: ['50+73=123', '83+69=152'] Exploring Operation: 152-123=29, Resulting Numbers: [29] 29,80 unequal: No Solution Moving to Node #0,1 Current State: 80:[83, 69, 123], Operations: ['50+73=123'] Exploring Operation: 69+123=192, Resulting Numbers: [83, 192] Generated Node #0,1,4: 80:[83, 192] Operation: 69+123=192 Moving to Node #0,1,4 Current State: 80:[83, 192], Operations: ['50+73=123', '69+123=192'] Exploring Operation: 192-83=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,1 Current State: 80:[83, 69, 123], Operations: ['50+73=123'] Exploring Operation: 83+123=206, Resulting Numbers: [69, 206] Generated Node #0,1,5: 80:[69, 206] Operation: 83+123=206 Moving to Node #0,1,5 Current State: 80:[69, 206], Operations: ['50+73=123', '83+123=206'] Exploring Operation: 206-69=137, Resulting Numbers: [137] 137,80 unequal: No Solution Moving to Node #0 Current State: 80:[83, 50, 73, 69], Operations: [] Exploring Operation: 83-50=33, Resulting Numbers: [73, 69, 33] Generated Node #0,2: 80:[73, 69, 33] Operation: 83-50=33 Moving to Node #0,2 Current State: 80:[73, 69, 33], Operations: ['83-50=33'] Exploring Operation: 69+33=102, Resulting Numbers: [73, 102] Generated Node #0,2,0: 80:[73, 102] Operation: 69+33=102 Moving to Node #0,2,0 Current State: 80:[73, 102], Operations: ['83-50=33', '69+33=102'] Exploring Operation: 102-73=29, Resulting Numbers: [29] 29,80 unequal: No Solution Moving to Node #0,2 Current State: 80:[73, 69, 33], Operations: ['83-50=33'] Exploring Operation: 73+33=106, Resulting Numbers: [69, 106] Generated Node #0,2,1: 80:[69, 106] Operation: 73+33=106 Moving to Node #0,2,1 Current State: 80:[69, 106], Operations: ['83-50=33', '73+33=106'] Exploring Operation: 106-69=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,2 Current State: 80:[73, 69, 33], Operations: ['83-50=33'] Exploring Operation: 73-33=40, Resulting Numbers: [69, 40] Generated Node #0,2,2: 80:[69, 40] Operation: 73-33=40 Moving to Node #0,2,2 Current State: 80:[69, 40], Operations: ['83-50=33', '73-33=40'] Exploring Operation: 69+40=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,2,2 Current State: 80:[69, 40], Operations: ['83-50=33', '73-33=40'] Exploring Operation: 69-40=29, Resulting Numbers: [29] 29,80 unequal: No Solution Moving to Node #0,2 Current State: 80:[73, 69, 33], Operations: ['83-50=33'] Exploring Operation: 69-33=36, Resulting Numbers: [73, 36] Generated Node #0,2,3: 80:[73, 36] Operation: 69-33=36 Moving to Node #0,2,3 Current State: 80:[73, 36], Operations: ['83-50=33', '69-33=36'] Exploring Operation: 73+36=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,2,3 Current State: 80:[73, 36], Operations: ['83-50=33', '69-33=36'] Exploring Operation: 73-36=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,2 Current State: 80:[73, 69, 33], Operations: ['83-50=33'] Exploring Operation: 73+69=142, Resulting Numbers: [33, 142] Generated Node #0,2,4: 80:[33, 142] Operation: 73+69=142 Moving to Node #0,2,4 Current State: 80:[33, 142], Operations: ['83-50=33', '73+69=142'] Exploring Operation: 142-33=109, Resulting Numbers: [109] 109,80 unequal: No Solution Moving to Node #0,2 Current State: 80:[73, 69, 33], Operations: ['83-50=33'] Exploring Operation: 73-69=4, Resulting Numbers: [33, 4] Generated Node #0,2,5: 80:[33, 4] Operation: 73-69=4 Moving to Node #0,2,5 Current State: 80:[33, 4], Operations: ['83-50=33', '73-69=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,2,5 Current State: 80:[33, 4], Operations: ['83-50=33', '73-69=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,80 unequal: No Solution Moving to Node #0,2,5 Current State: 80:[33, 4], Operations: ['83-50=33', '73-69=4'] Exploring Operation: 33*4=132, Resulting Numbers: [132] 132,80 unequal: No Solution Moving to Node #0 Current State: 80:[83, 50, 73, 69], Operations: [] Exploring Operation: 83+50=133, Resulting Numbers: [73, 69, 133] Generated Node #0,3: 80:[73, 69, 133] Operation: 83+50=133 Moving to Node #0,3 Current State: 80:[73, 69, 133], Operations: ['83+50=133'] Exploring Operation: 133-69=64, Resulting Numbers: [73, 64] Generated Node #0,3,0: 80:[73, 64] Operation: 133-69=64 Moving to Node #0,3,0 Current State: 80:[73, 64], Operations: ['83+50=133', '133-69=64'] Exploring Operation: 73+64=137, Resulting Numbers: [137] 137,80 unequal: No Solution Moving to Node #0,3,0 Current State: 80:[73, 64], Operations: ['83+50=133', '133-69=64'] Exploring Operation: 73-64=9, Resulting Numbers: [9] 9,80 unequal: No Solution Moving to Node #0,3 Current State: 80:[73, 69, 133], Operations: ['83+50=133'] Exploring Operation: 133-73=60, Resulting Numbers: [69, 60] Generated Node #0,3,1: 80:[69, 60] Operation: 133-73=60 Moving to Node #0,3,1 Current State: 80:[69, 60], Operations: ['83+50=133', '133-73=60'] Exploring Operation: 69+60=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0,3,1 Current State: 80:[69, 60], Operations: ['83+50=133', '133-73=60'] Exploring Operation: 69-60=9, Resulting Numbers: [9] 9,80 unequal: No Solution Moving to Node #0,3 Current State: 80:[73, 69, 133], Operations: ['83+50=133'] Exploring Operation: 73+69=142, Resulting Numbers: [133, 142] Generated Node #0,3,2: 80:[133, 142] Operation: 73+69=142 Moving to Node #0,3,2 Current State: 80:[133, 142], Operations: ['83+50=133', '73+69=142'] Exploring Operation: 142-133=9, Resulting Numbers: [9] 9,80 unequal: No Solution Moving to Node #0,3 Current State: 80:[73, 69, 133], Operations: ['83+50=133'] Exploring Operation: 73-69=4, Resulting Numbers: [133, 4] Generated Node #0,3,3: 80:[133, 4] Operation: 73-69=4 Moving to Node #0,3,3 Current State: 80:[133, 4], Operations: ['83+50=133', '73-69=4'] Exploring Operation: 133-4=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0,3,3 Current State: 80:[133, 4], Operations: ['83+50=133', '73-69=4'] Exploring Operation: 133+4=137, Resulting Numbers: [137] 137,80 unequal: No Solution Moving to Node #0,3 Current State: 80:[73, 69, 133], Operations: ['83+50=133'] Exploring Operation: 69+133=202, Resulting Numbers: [73, 202] Generated Node #0,3,4: 80:[73, 202] Operation: 69+133=202 Moving to Node #0,3,4 Current State: 80:[73, 202], Operations: ['83+50=133', '69+133=202'] Exploring Operation: 202-73=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0,3 Current State: 80:[73, 69, 133], Operations: ['83+50=133'] Exploring Operation: 73+133=206, Resulting Numbers: [69, 206] Generated Node #0,3,5: 80:[69, 206] Operation: 73+133=206 Moving to Node #0,3,5 Current State: 80:[69, 206], Operations: ['83+50=133', '73+133=206'] Exploring Operation: 206-69=137, Resulting Numbers: [137] 137,80 unequal: No Solution Moving to Node #0 Current State: 80:[83, 50, 73, 69], Operations: [] Exploring Operation: 73-50=23, Resulting Numbers: [83, 69, 23] Generated Node #0,4: 80:[83, 69, 23] Operation: 73-50=23 Moving to Node #0,4 Current State: 80:[83, 69, 23], Operations: ['73-50=23'] Exploring Operation: 69+23=92, Resulting Numbers: [83, 92] Generated Node #0,4,0: 80:[83, 92] Operation: 69+23=92 Moving to Node #0,4,0 Current State: 80:[83, 92], Operations: ['73-50=23', '69+23=92'] Exploring Operation: 92-83=9, Resulting Numbers: [9] 9,80 unequal: No Solution Moving to Node #0,4 Current State: 80:[83, 69, 23], Operations: ['73-50=23'] Exploring Operation: 83-23=60, Resulting Numbers: [69, 60] Generated Node #0,4,1: 80:[69, 60] Operation: 83-23=60 Moving to Node #0,4,1 Current State: 80:[69, 60], Operations: ['73-50=23', '83-23=60'] Exploring Operation: 69+60=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0,4,1 Current State: 80:[69, 60], Operations: ['73-50=23', '83-23=60'] Exploring Operation: 69-60=9, Resulting Numbers: [9] 9,80 unequal: No Solution Moving to Node #0,4 Current State: 80:[83, 69, 23], Operations: ['73-50=23'] Exploring Operation: 83+23=106, Resulting Numbers: [69, 106] Generated Node #0,4,2: 80:[69, 106] Operation: 83+23=106 Moving to Node #0,4,2 Current State: 80:[69, 106], Operations: ['73-50=23', '83+23=106'] Exploring Operation: 106-69=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,4 Current State: 80:[83, 69, 23], Operations: ['73-50=23'] Exploring Operation: 69-23=46, Resulting Numbers: [83, 46] Generated Node #0,4,3: 80:[83, 46] Operation: 69-23=46 Moving to Node #0,4,3 Current State: 80:[83, 46], Operations: ['73-50=23', '69-23=46'] Exploring Operation: 83-46=37, Resulting Numbers: [37] 37,80 unequal: No Solution Moving to Node #0,4,3 Current State: 80:[83, 46], Operations: ['73-50=23', '69-23=46'] Exploring Operation: 83+46=129, Resulting Numbers: [129] 129,80 unequal: No Solution Moving to Node #0,4 Current State: 80:[83, 69, 23], Operations: ['73-50=23'] Exploring Operation: 69/23=3, Resulting Numbers: [83, 3] Generated Node #0,4,4: 80:[83, 3] Operation: 69/23=3 Moving to Node #0,4,4 Current State: 80:[83, 3], Operations: ['73-50=23', '69/23=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
0.931424
dfs
Current State: 80:[83, 50, 73, 69], Operations: [] Exploring Operation: 73-50=23, Resulting Numbers: [83, 69, 23] Generated Node #2: [83, 69, 23] from Operation: 73-50=23 Current State: 80:[83, 69, 23], Operations: ['73-50=23'] Exploring Operation: 69/23=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 69/23=3 Current State: 80:[83, 3], Operations: ['73-50=23', '69/23=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
sum_heuristic
[ { "content": "Make 80 with the numbers [83, 50, 73, 69] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 80:[83, 50, 73, 69], Operations: []\nExploring Operation: 50+69=119, Resulting Numbers: [83, 73, 119]\nGenerated Node #0,0: 80:[83, 73, 119] Operation: 50+69=119\nMoving to Node #0,0\nCurrent State: 80:[83, 73, 119], Operations: ['50+69=119']\nExploring Operation: 119-73=46, Resulting Numbers: [83, 46]\nGenerated Node #0,0,0: 80:[83, 46] Operation: 119-73=46\nMoving to Node #0,0,0\nCurrent State: 80:[83, 46], Operations: ['50+69=119', '119-73=46']\nExploring Operation: 83-46=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 80:[83, 46], Operations: ['50+69=119', '119-73=46']\nExploring Operation: 83+46=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 80:[83, 73, 119], Operations: ['50+69=119']\nExploring Operation: 119-83=36, Resulting Numbers: [73, 36]\nGenerated Node #0,0,1: 80:[73, 36] Operation: 119-83=36\nMoving to Node #0,0,1\nCurrent State: 80:[73, 36], Operations: ['50+69=119', '119-83=36']\nExploring Operation: 73+36=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 80:[73, 36], Operations: ['50+69=119', '119-83=36']\nExploring Operation: 73-36=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 80:[83, 73, 119], Operations: ['50+69=119']\nExploring Operation: 83-73=10, Resulting Numbers: [119, 10]\nGenerated Node #0,0,2: 80:[119, 10] Operation: 83-73=10\nMoving to Node #0,0,2\nCurrent State: 80:[119, 10], Operations: ['50+69=119', '83-73=10']\nExploring Operation: 119-10=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 80:[119, 10], Operations: ['50+69=119', '83-73=10']\nExploring Operation: 119+10=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 80:[83, 73, 119], Operations: ['50+69=119']\nExploring Operation: 83+73=156, Resulting Numbers: [119, 156]\nGenerated Node #0,0,3: 80:[119, 156] Operation: 83+73=156\nMoving to Node #0,0,3\nCurrent State: 80:[119, 156], Operations: ['50+69=119', '83+73=156']\nExploring Operation: 156-119=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 80:[83, 73, 119], Operations: ['50+69=119']\nExploring Operation: 73+119=192, Resulting Numbers: [83, 192]\nGenerated Node #0,0,4: 80:[83, 192] Operation: 73+119=192\nMoving to Node #0,0,4\nCurrent State: 80:[83, 192], Operations: ['50+69=119', '73+119=192']\nExploring Operation: 192-83=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 80:[83, 73, 119], Operations: ['50+69=119']\nExploring Operation: 83+119=202, Resulting Numbers: [73, 202]\nGenerated Node #0,0,5: 80:[73, 202] Operation: 83+119=202\nMoving to Node #0,0,5\nCurrent State: 80:[73, 202], Operations: ['50+69=119', '83+119=202']\nExploring Operation: 202-73=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0\nCurrent State: 80:[83, 50, 73, 69], Operations: []\nExploring Operation: 50+73=123, Resulting Numbers: [83, 69, 123]\nGenerated Node #0,1: 80:[83, 69, 123] Operation: 50+73=123\nMoving to Node #0,1\nCurrent State: 80:[83, 69, 123], Operations: ['50+73=123']\nExploring Operation: 123-69=54, Resulting Numbers: [83, 54]\nGenerated Node #0,1,0: 80:[83, 54] Operation: 123-69=54\nMoving to Node #0,1,0\nCurrent State: 80:[83, 54], Operations: ['50+73=123', '123-69=54']\nExploring Operation: 83-54=29, Resulting Numbers: [29]\n29,80 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 80:[83, 54], Operations: ['50+73=123', '123-69=54']\nExploring Operation: 83+54=137, Resulting Numbers: [137]\n137,80 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 80:[83, 69, 123], Operations: ['50+73=123']\nExploring Operation: 123-83=40, Resulting Numbers: [69, 40]\nGenerated Node #0,1,1: 80:[69, 40] Operation: 123-83=40\nMoving to Node #0,1,1\nCurrent State: 80:[69, 40], Operations: ['50+73=123', '123-83=40']\nExploring Operation: 69+40=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 80:[69, 40], Operations: ['50+73=123', '123-83=40']\nExploring Operation: 69-40=29, Resulting Numbers: [29]\n29,80 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 80:[83, 69, 123], Operations: ['50+73=123']\nExploring Operation: 83-69=14, Resulting Numbers: [123, 14]\nGenerated Node #0,1,2: 80:[123, 14] Operation: 83-69=14\nMoving to Node #0,1,2\nCurrent State: 80:[123, 14], Operations: ['50+73=123', '83-69=14']\nExploring Operation: 123-14=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 80:[123, 14], Operations: ['50+73=123', '83-69=14']\nExploring Operation: 123+14=137, Resulting Numbers: [137]\n137,80 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 80:[83, 69, 123], Operations: ['50+73=123']\nExploring Operation: 83+69=152, Resulting Numbers: [123, 152]\nGenerated Node #0,1,3: 80:[123, 152] Operation: 83+69=152\nMoving to Node #0,1,3\nCurrent State: 80:[123, 152], Operations: ['50+73=123', '83+69=152']\nExploring Operation: 152-123=29, Resulting Numbers: [29]\n29,80 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 80:[83, 69, 123], Operations: ['50+73=123']\nExploring Operation: 69+123=192, Resulting Numbers: [83, 192]\nGenerated Node #0,1,4: 80:[83, 192] Operation: 69+123=192\nMoving to Node #0,1,4\nCurrent State: 80:[83, 192], Operations: ['50+73=123', '69+123=192']\nExploring Operation: 192-83=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 80:[83, 69, 123], Operations: ['50+73=123']\nExploring Operation: 83+123=206, Resulting Numbers: [69, 206]\nGenerated Node #0,1,5: 80:[69, 206] Operation: 83+123=206\nMoving to Node #0,1,5\nCurrent State: 80:[69, 206], Operations: ['50+73=123', '83+123=206']\nExploring Operation: 206-69=137, Resulting Numbers: [137]\n137,80 unequal: No Solution\nMoving to Node #0\nCurrent State: 80:[83, 50, 73, 69], Operations: []\nExploring Operation: 83-50=33, Resulting Numbers: [73, 69, 33]\nGenerated Node #0,2: 80:[73, 69, 33] Operation: 83-50=33\nMoving to Node #0,2\nCurrent State: 80:[73, 69, 33], Operations: ['83-50=33']\nExploring Operation: 69+33=102, Resulting Numbers: [73, 102]\nGenerated Node #0,2,0: 80:[73, 102] Operation: 69+33=102\nMoving to Node #0,2,0\nCurrent State: 80:[73, 102], Operations: ['83-50=33', '69+33=102']\nExploring Operation: 102-73=29, Resulting Numbers: [29]\n29,80 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 80:[73, 69, 33], Operations: ['83-50=33']\nExploring Operation: 73+33=106, Resulting Numbers: [69, 106]\nGenerated Node #0,2,1: 80:[69, 106] Operation: 73+33=106\nMoving to Node #0,2,1\nCurrent State: 80:[69, 106], Operations: ['83-50=33', '73+33=106']\nExploring Operation: 106-69=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 80:[73, 69, 33], Operations: ['83-50=33']\nExploring Operation: 73-33=40, Resulting Numbers: [69, 40]\nGenerated Node #0,2,2: 80:[69, 40] Operation: 73-33=40\nMoving to Node #0,2,2\nCurrent State: 80:[69, 40], Operations: ['83-50=33', '73-33=40']\nExploring Operation: 69+40=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 80:[69, 40], Operations: ['83-50=33', '73-33=40']\nExploring Operation: 69-40=29, Resulting Numbers: [29]\n29,80 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 80:[73, 69, 33], Operations: ['83-50=33']\nExploring Operation: 69-33=36, Resulting Numbers: [73, 36]\nGenerated Node #0,2,3: 80:[73, 36] Operation: 69-33=36\nMoving to Node #0,2,3\nCurrent State: 80:[73, 36], Operations: ['83-50=33', '69-33=36']\nExploring Operation: 73+36=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 80:[73, 36], Operations: ['83-50=33', '69-33=36']\nExploring Operation: 73-36=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 80:[73, 69, 33], Operations: ['83-50=33']\nExploring Operation: 73+69=142, Resulting Numbers: [33, 142]\nGenerated Node #0,2,4: 80:[33, 142] Operation: 73+69=142\nMoving to Node #0,2,4\nCurrent State: 80:[33, 142], Operations: ['83-50=33', '73+69=142']\nExploring Operation: 142-33=109, Resulting Numbers: [109]\n109,80 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 80:[73, 69, 33], Operations: ['83-50=33']\nExploring Operation: 73-69=4, Resulting Numbers: [33, 4]\nGenerated Node #0,2,5: 80:[33, 4] Operation: 73-69=4\nMoving to Node #0,2,5\nCurrent State: 80:[33, 4], Operations: ['83-50=33', '73-69=4']\nExploring Operation: 33+4=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 80:[33, 4], Operations: ['83-50=33', '73-69=4']\nExploring Operation: 33-4=29, Resulting Numbers: [29]\n29,80 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 80:[33, 4], Operations: ['83-50=33', '73-69=4']\nExploring Operation: 33*4=132, Resulting Numbers: [132]\n132,80 unequal: No Solution\nMoving to Node #0\nCurrent State: 80:[83, 50, 73, 69], Operations: []\nExploring Operation: 83+50=133, Resulting Numbers: [73, 69, 133]\nGenerated Node #0,3: 80:[73, 69, 133] Operation: 83+50=133\nMoving to Node #0,3\nCurrent State: 80:[73, 69, 133], Operations: ['83+50=133']\nExploring Operation: 133-69=64, Resulting Numbers: [73, 64]\nGenerated Node #0,3,0: 80:[73, 64] Operation: 133-69=64\nMoving to Node #0,3,0\nCurrent State: 80:[73, 64], Operations: ['83+50=133', '133-69=64']\nExploring Operation: 73+64=137, Resulting Numbers: [137]\n137,80 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 80:[73, 64], Operations: ['83+50=133', '133-69=64']\nExploring Operation: 73-64=9, Resulting Numbers: [9]\n9,80 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 80:[73, 69, 133], Operations: ['83+50=133']\nExploring Operation: 133-73=60, Resulting Numbers: [69, 60]\nGenerated Node #0,3,1: 80:[69, 60] Operation: 133-73=60\nMoving to Node #0,3,1\nCurrent State: 80:[69, 60], Operations: ['83+50=133', '133-73=60']\nExploring Operation: 69+60=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 80:[69, 60], Operations: ['83+50=133', '133-73=60']\nExploring Operation: 69-60=9, Resulting Numbers: [9]\n9,80 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 80:[73, 69, 133], Operations: ['83+50=133']\nExploring Operation: 73+69=142, Resulting Numbers: [133, 142]\nGenerated Node #0,3,2: 80:[133, 142] Operation: 73+69=142\nMoving to Node #0,3,2\nCurrent State: 80:[133, 142], Operations: ['83+50=133', '73+69=142']\nExploring Operation: 142-133=9, Resulting Numbers: [9]\n9,80 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 80:[73, 69, 133], Operations: ['83+50=133']\nExploring Operation: 73-69=4, Resulting Numbers: [133, 4]\nGenerated Node #0,3,3: 80:[133, 4] Operation: 73-69=4\nMoving to Node #0,3,3\nCurrent State: 80:[133, 4], Operations: ['83+50=133', '73-69=4']\nExploring Operation: 133-4=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 80:[133, 4], Operations: ['83+50=133', '73-69=4']\nExploring Operation: 133+4=137, Resulting Numbers: [137]\n137,80 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 80:[73, 69, 133], Operations: ['83+50=133']\nExploring Operation: 69+133=202, Resulting Numbers: [73, 202]\nGenerated Node #0,3,4: 80:[73, 202] Operation: 69+133=202\nMoving to Node #0,3,4\nCurrent State: 80:[73, 202], Operations: ['83+50=133', '69+133=202']\nExploring Operation: 202-73=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 80:[73, 69, 133], Operations: ['83+50=133']\nExploring Operation: 73+133=206, Resulting Numbers: [69, 206]\nGenerated Node #0,3,5: 80:[69, 206] Operation: 73+133=206\nMoving to Node #0,3,5\nCurrent State: 80:[69, 206], Operations: ['83+50=133', '73+133=206']\nExploring Operation: 206-69=137, Resulting Numbers: [137]\n137,80 unequal: No Solution\nMoving to Node #0\nCurrent State: 80:[83, 50, 73, 69], Operations: []\nExploring Operation: 73-50=23, Resulting Numbers: [83, 69, 23]\nGenerated Node #0,4: 80:[83, 69, 23] Operation: 73-50=23\nMoving to Node #0,4\nCurrent State: 80:[83, 69, 23], Operations: ['73-50=23']\nExploring Operation: 69+23=92, Resulting Numbers: [83, 92]\nGenerated Node #0,4,0: 80:[83, 92] Operation: 69+23=92\nMoving to Node #0,4,0\nCurrent State: 80:[83, 92], Operations: ['73-50=23', '69+23=92']\nExploring Operation: 92-83=9, Resulting Numbers: [9]\n9,80 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 80:[83, 69, 23], Operations: ['73-50=23']\nExploring Operation: 83-23=60, Resulting Numbers: [69, 60]\nGenerated Node #0,4,1: 80:[69, 60] Operation: 83-23=60\nMoving to Node #0,4,1\nCurrent State: 80:[69, 60], Operations: ['73-50=23', '83-23=60']\nExploring Operation: 69+60=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 80:[69, 60], Operations: ['73-50=23', '83-23=60']\nExploring Operation: 69-60=9, Resulting Numbers: [9]\n9,80 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 80:[83, 69, 23], Operations: ['73-50=23']\nExploring Operation: 83+23=106, Resulting Numbers: [69, 106]\nGenerated Node #0,4,2: 80:[69, 106] Operation: 83+23=106\nMoving to Node #0,4,2\nCurrent State: 80:[69, 106], Operations: ['73-50=23', '83+23=106']\nExploring Operation: 106-69=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 80:[83, 69, 23], Operations: ['73-50=23']\nExploring Operation: 69-23=46, Resulting Numbers: [83, 46]\nGenerated Node #0,4,3: 80:[83, 46] Operation: 69-23=46\nMoving to Node #0,4,3\nCurrent State: 80:[83, 46], Operations: ['73-50=23', '69-23=46']\nExploring Operation: 83-46=37, Resulting Numbers: [37]\n37,80 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 80:[83, 46], Operations: ['73-50=23', '69-23=46']\nExploring Operation: 83+46=129, Resulting Numbers: [129]\n129,80 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 80:[83, 69, 23], Operations: ['73-50=23']\nExploring Operation: 69/23=3, Resulting Numbers: [83, 3]\nGenerated Node #0,4,4: 80:[83, 3] Operation: 69/23=3\nMoving to Node #0,4,4\nCurrent State: 80:[83, 3], Operations: ['73-50=23', '69/23=3']\nExploring Operation: 83-3=80, Resulting Numbers: [80]\n80,80 equal: Goal Reached\n", "role": "assistant" } ]
[ 59, 56, 66, 12 ]
61
[ "59+56=115", "66-12=54", "115-54=61" ]
Current State: 61:[59, 56, 66, 12], Operations: [] Exploring Operation: 56+12=68, Resulting Numbers: [59, 66, 68] Generated Node #0,0: 61:[59, 66, 68] Operation: 56+12=68 Moving to Node #0,0 Current State: 61:[59, 66, 68], Operations: ['56+12=68'] Exploring Operation: 68-59=9, Resulting Numbers: [66, 9] Generated Node #0,0,0: 61:[66, 9] Operation: 68-59=9 Moving to Node #0,0,0 Current State: 61:[66, 9], Operations: ['56+12=68', '68-59=9'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,61 unequal: No Solution Moving to Node #0,0,0,0 Current State: 61:[57], Operations: ['56+12=68', '68-59=9', '66-9=57'] No solution found.
0
bfs_1
Current State: 61:[59, 56, 66, 12], Operations: [] Exploring Operation: 59+56=115, Resulting Numbers: [66, 12, 115] Generated Node #2: [66, 12, 115] from Operation: 59+56=115 Current State: 61:[66, 12, 115], Operations: ['59+56=115'] Exploring Operation: 66-12=54, Resulting Numbers: [115, 54] Generated Node #3: [115, 54] from Operation: 66-12=54 Current State: 61:[115, 54], Operations: ['59+56=115', '66-12=54'] Exploring Operation: 115-54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
sum_heuristic
[ { "content": "Make 61 with the numbers [59, 56, 66, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 61:[59, 56, 66, 12], Operations: []\nExploring Operation: 56+12=68, Resulting Numbers: [59, 66, 68]\nGenerated Node #0,0: 61:[59, 66, 68] Operation: 56+12=68\nMoving to Node #0,0\nCurrent State: 61:[59, 66, 68], Operations: ['56+12=68']\nExploring Operation: 68-59=9, Resulting Numbers: [66, 9]\nGenerated Node #0,0,0: 61:[66, 9] Operation: 68-59=9\nMoving to Node #0,0,0\nCurrent State: 61:[66, 9], Operations: ['56+12=68', '68-59=9']\nExploring Operation: 66-9=57, Resulting Numbers: [57]\n57,61 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 61:[57], Operations: ['56+12=68', '68-59=9', '66-9=57']\nNo solution found.", "role": "assistant" } ]
[ 2, 9, 13, 93 ]
73
[ "9-2=7", "93-13=80", "80-7=73" ]
Current State: 73:[2, 9, 13, 93], Operations: [] Exploring Operation: 2*13=26, Resulting Numbers: [9, 93, 26] Generated Node #0,0: 73:[9, 93, 26] Operation: 2*13=26 Exploring Operation: 2*9=18, Resulting Numbers: [13, 93, 18] Generated Node #0,1: 73:[13, 93, 18] Operation: 2*9=18 Exploring Operation: 9*13=117, Resulting Numbers: [2, 93, 117] Generated Node #0,2: 73:[2, 93, 117] Operation: 9*13=117 Moving to Node #0,0 Current State: 73:[9, 93, 26], Operations: ['2*13=26'] Exploring Operation: 93-9=84, Resulting Numbers: [26, 84] Generated Node #0,0,0: 73:[26, 84] Operation: 93-9=84 Exploring Operation: 9+26=35, Resulting Numbers: [93, 35] Generated Node #0,0,1: 73:[93, 35] Operation: 9+26=35 Exploring Operation: 93-26=67, Resulting Numbers: [9, 67] Generated Node #0,0,2: 73:[9, 67] Operation: 93-26=67 Moving to Node #0,1 Current State: 73:[13, 93, 18], Operations: ['2*9=18'] Exploring Operation: 93-18=75, Resulting Numbers: [13, 75] Generated Node #0,1,0: 73:[13, 75] Operation: 93-18=75 Exploring Operation: 13+18=31, Resulting Numbers: [93, 31] Generated Node #0,1,1: 73:[93, 31] Operation: 13+18=31 Exploring Operation: 93-13=80, Resulting Numbers: [18, 80] Generated Node #0,1,2: 73:[18, 80] Operation: 93-13=80 Moving to Node #0,2 Current State: 73:[2, 93, 117], Operations: ['9*13=117'] Exploring Operation: 2+93=95, Resulting Numbers: [117, 95] Generated Node #0,2,0: 73:[117, 95] Operation: 2+93=95 Exploring Operation: 93-2=91, Resulting Numbers: [117, 91] Generated Node #0,2,1: 73:[117, 91] Operation: 93-2=91 Exploring Operation: 117-2=115, Resulting Numbers: [93, 115] Generated Node #0,2,2: 73:[93, 115] Operation: 117-2=115 Moving to Node #0,0,0 Current State: 73:[26, 84], Operations: ['2*13=26', '93-9=84'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,73 unequal: No Solution Exploring Operation: 26*84=2184, Resulting Numbers: [2184] 2184,73 unequal: No Solution Exploring Operation: 26+84=110, Resulting Numbers: [110] 110,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[93, 35], Operations: ['2*13=26', '9+26=35'] Exploring Operation: 93*35=3255, Resulting Numbers: [3255] 3255,73 unequal: No Solution Exploring Operation: 93-35=58, Resulting Numbers: [58] 58,73 unequal: No Solution Exploring Operation: 93+35=128, Resulting Numbers: [128] 128,73 unequal: No Solution Moving to Node #0,1,2 Current State: 73:[18, 80], Operations: ['2*9=18', '93-13=80'] Exploring Operation: 18+80=98, Resulting Numbers: [98] 98,73 unequal: No Solution Exploring Operation: 18*80=1440, Resulting Numbers: [1440] 1440,73 unequal: No Solution Exploring Operation: 80-18=62, Resulting Numbers: [62] 62,73 unequal: No Solution Moving to Node #0,1,2,0 Current State: 73:[62], Operations: ['2*9=18', '93-13=80', '80-18=62'] Moving to Node #0,0,0,0 Current State: 73:[58], Operations: ['2*13=26', '93-9=84', '84-26=58'] Moving to Node #0,0,1,0 Current State: 73:[58], Operations: ['2*13=26', '9+26=35', '93-35=58'] Moving to Node #0,1,2,0 Current State: 73:[98], Operations: ['2*9=18', '93-13=80', '18+80=98'] Moving to Node #0,2,2 Current State: 73:[93, 115], Operations: ['9*13=117', '117-2=115'] Exploring Operation: 115-93=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 93+115=208, Resulting Numbers: [208] 208,73 unequal: No Solution Exploring Operation: 93*115=10695, Resulting Numbers: [10695] 10695,73 unequal: No Solution Moving to Node #0,2,1 Current State: 73:[117, 91], Operations: ['9*13=117', '93-2=91'] Exploring Operation: 117+91=208, Resulting Numbers: [208] 208,73 unequal: No Solution Exploring Operation: 117*91=10647, Resulting Numbers: [10647] 10647,73 unequal: No Solution Exploring Operation: 117-91=26, Resulting Numbers: [26] 26,73 unequal: No Solution Moving to Node #0,1,1 Current State: 73:[93, 31], Operations: ['2*9=18', '13+18=31'] Exploring Operation: 93-31=62, Resulting Numbers: [62] 62,73 unequal: No Solution Exploring Operation: 93+31=124, Resulting Numbers: [124] 124,73 unequal: No Solution Exploring Operation: 93/31=3, Resulting Numbers: [3] 3,73 unequal: No Solution Moving to Node #0,1,0 Current State: 73:[13, 75], Operations: ['2*9=18', '93-18=75'] Exploring Operation: 13+75=88, Resulting Numbers: [88] 88,73 unequal: No Solution Exploring Operation: 75-13=62, Resulting Numbers: [62] 62,73 unequal: No Solution Exploring Operation: 13*75=975, Resulting Numbers: [975] 975,73 unequal: No Solution Moving to Node #0,2,0 Current State: 73:[117, 95], Operations: ['9*13=117', '2+93=95'] Exploring Operation: 117*95=11115, Resulting Numbers: [11115] 11115,73 unequal: No Solution Exploring Operation: 117+95=212, Resulting Numbers: [212] 212,73 unequal: No Solution Exploring Operation: 117-95=22, Resulting Numbers: [22] 22,73 unequal: No Solution Moving to Node #0,1,1,0 Current State: 73:[62], Operations: ['2*9=18', '13+18=31', '93-31=62'] Moving to Node #0,1,0,0 Current State: 73:[62], Operations: ['2*9=18', '93-18=75', '75-13=62'] Moving to Node #0,1,0,0 Current State: 73:[88], Operations: ['2*9=18', '93-18=75', '13+75=88'] Moving to Node #0,0,2 Current State: 73:[9, 67], Operations: ['2*13=26', '93-26=67'] Exploring Operation: 9*67=603, Resulting Numbers: [603] 603,73 unequal: No Solution Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,73 unequal: No Solution Exploring Operation: 9+67=76, Resulting Numbers: [76] 76,73 unequal: No Solution Moving to Node #0,0,0,0 Current State: 73:[110], Operations: ['2*13=26', '93-9=84', '26+84=110'] Moving to Node #0,2,1,0 Current State: 73:[26], Operations: ['9*13=117', '93-2=91', '117-91=26'] Moving to Node #0,0,2,0 Current State: 73:[76], Operations: ['2*13=26', '93-26=67', '9+67=76'] Moving to Node #0,0,2,0 Current State: 73:[58], Operations: ['2*13=26', '93-26=67', '67-9=58'] Moving to Node #0,1,1,0 Current State: 73:[124], Operations: ['2*9=18', '13+18=31', '93+31=124'] Moving to Node #0,2,2,0 Current State: 73:[22], Operations: ['9*13=117', '117-2=115', '115-93=22'] Moving to Node #0,2,0,0 Current State: 73:[22], Operations: ['9*13=117', '2+93=95', '117-95=22'] Moving to Node #0,0,1,0 Current State: 73:[128], Operations: ['2*13=26', '9+26=35', '93+35=128'] Moving to Node #0,1,1,0 Current State: 73:[3], Operations: ['2*9=18', '13+18=31', '93/31=3'] Moving to Node #0,2,2,0 Current State: 73:[208], Operations: ['9*13=117', '117-2=115', '93+115=208'] Moving to Node #0,2,1,0 Current State: 73:[208], Operations: ['9*13=117', '93-2=91', '117+91=208'] Moving to Node #0,2,0,0 Current State: 73:[212], Operations: ['9*13=117', '2+93=95', '117+95=212'] Moving to Node #0,0,2,0 Current State: 73:[603], Operations: ['2*13=26', '93-26=67', '9*67=603'] Moving to Node #0,1,0,0 Current State: 73:[975], Operations: ['2*9=18', '93-18=75', '13*75=975'] Moving to Node #0,1,2,0 Current State: 73:[1440], Operations: ['2*9=18', '93-13=80', '18*80=1440'] Moving to Node #0,0,0,0 Current State: 73:[2184], Operations: ['2*13=26', '93-9=84', '26*84=2184'] Moving to Node #0,0,1,0 Current State: 73:[3255], Operations: ['2*13=26', '9+26=35', '93*35=3255'] Moving to Node #0,2,1,0 Current State: 73:[10647], Operations: ['9*13=117', '93-2=91', '117*91=10647'] Moving to Node #0,2,2,0 Current State: 73:[10695], Operations: ['9*13=117', '117-2=115', '93*115=10695'] Moving to Node #0,2,0,0 Current State: 73:[11115], Operations: ['9*13=117', '2+93=95', '117*95=11115'] No solution found.
0
bfs_3
Current State: 73:[2, 9, 13, 93], Operations: [] Exploring Operation: 9-2=7, Resulting Numbers: [13, 93, 7] Generated Node #2: [13, 93, 7] from Operation: 9-2=7 Current State: 73:[13, 93, 7], Operations: ['9-2=7'] Exploring Operation: 93-13=80, Resulting Numbers: [7, 80] Generated Node #3: [7, 80] from Operation: 93-13=80 Current State: 73:[7, 80], Operations: ['9-2=7', '93-13=80'] Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
sum_heuristic
[ { "content": "Make 73 with the numbers [2, 9, 13, 93] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 73:[2, 9, 13, 93], Operations: []\nExploring Operation: 2*13=26, Resulting Numbers: [9, 93, 26]\nGenerated Node #0,0: 73:[9, 93, 26] Operation: 2*13=26\nExploring Operation: 2*9=18, Resulting Numbers: [13, 93, 18]\nGenerated Node #0,1: 73:[13, 93, 18] Operation: 2*9=18\nExploring Operation: 9*13=117, Resulting Numbers: [2, 93, 117]\nGenerated Node #0,2: 73:[2, 93, 117] Operation: 9*13=117\nMoving to Node #0,0\nCurrent State: 73:[9, 93, 26], Operations: ['2*13=26']\nExploring Operation: 93-9=84, Resulting Numbers: [26, 84]\nGenerated Node #0,0,0: 73:[26, 84] Operation: 93-9=84\nExploring Operation: 9+26=35, Resulting Numbers: [93, 35]\nGenerated Node #0,0,1: 73:[93, 35] Operation: 9+26=35\nExploring Operation: 93-26=67, Resulting Numbers: [9, 67]\nGenerated Node #0,0,2: 73:[9, 67] Operation: 93-26=67\nMoving to Node #0,1\nCurrent State: 73:[13, 93, 18], Operations: ['2*9=18']\nExploring Operation: 93-18=75, Resulting Numbers: [13, 75]\nGenerated Node #0,1,0: 73:[13, 75] Operation: 93-18=75\nExploring Operation: 13+18=31, Resulting Numbers: [93, 31]\nGenerated Node #0,1,1: 73:[93, 31] Operation: 13+18=31\nExploring Operation: 93-13=80, Resulting Numbers: [18, 80]\nGenerated Node #0,1,2: 73:[18, 80] Operation: 93-13=80\nMoving to Node #0,2\nCurrent State: 73:[2, 93, 117], Operations: ['9*13=117']\nExploring Operation: 2+93=95, Resulting Numbers: [117, 95]\nGenerated Node #0,2,0: 73:[117, 95] Operation: 2+93=95\nExploring Operation: 93-2=91, Resulting Numbers: [117, 91]\nGenerated Node #0,2,1: 73:[117, 91] Operation: 93-2=91\nExploring Operation: 117-2=115, Resulting Numbers: [93, 115]\nGenerated Node #0,2,2: 73:[93, 115] Operation: 117-2=115\nMoving to Node #0,0,0\nCurrent State: 73:[26, 84], Operations: ['2*13=26', '93-9=84']\nExploring Operation: 84-26=58, Resulting Numbers: [58]\n58,73 unequal: No Solution\nExploring Operation: 26*84=2184, Resulting Numbers: [2184]\n2184,73 unequal: No Solution\nExploring Operation: 26+84=110, Resulting Numbers: [110]\n110,73 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 73:[93, 35], Operations: ['2*13=26', '9+26=35']\nExploring Operation: 93*35=3255, Resulting Numbers: [3255]\n3255,73 unequal: No Solution\nExploring Operation: 93-35=58, Resulting Numbers: [58]\n58,73 unequal: No Solution\nExploring Operation: 93+35=128, Resulting Numbers: [128]\n128,73 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 73:[18, 80], Operations: ['2*9=18', '93-13=80']\nExploring Operation: 18+80=98, Resulting Numbers: [98]\n98,73 unequal: No Solution\nExploring Operation: 18*80=1440, Resulting Numbers: [1440]\n1440,73 unequal: No Solution\nExploring Operation: 80-18=62, Resulting Numbers: [62]\n62,73 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 73:[62], Operations: ['2*9=18', '93-13=80', '80-18=62']\nMoving to Node #0,0,0,0\nCurrent State: 73:[58], Operations: ['2*13=26', '93-9=84', '84-26=58']\nMoving to Node #0,0,1,0\nCurrent State: 73:[58], Operations: ['2*13=26', '9+26=35', '93-35=58']\nMoving to Node #0,1,2,0\nCurrent State: 73:[98], Operations: ['2*9=18', '93-13=80', '18+80=98']\nMoving to Node #0,2,2\nCurrent State: 73:[93, 115], Operations: ['9*13=117', '117-2=115']\nExploring Operation: 115-93=22, Resulting Numbers: [22]\n22,73 unequal: No Solution\nExploring Operation: 93+115=208, Resulting Numbers: [208]\n208,73 unequal: No Solution\nExploring Operation: 93*115=10695, Resulting Numbers: [10695]\n10695,73 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 73:[117, 91], Operations: ['9*13=117', '93-2=91']\nExploring Operation: 117+91=208, Resulting Numbers: [208]\n208,73 unequal: No Solution\nExploring Operation: 117*91=10647, Resulting Numbers: [10647]\n10647,73 unequal: No Solution\nExploring Operation: 117-91=26, Resulting Numbers: [26]\n26,73 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 73:[93, 31], Operations: ['2*9=18', '13+18=31']\nExploring Operation: 93-31=62, Resulting Numbers: [62]\n62,73 unequal: No Solution\nExploring Operation: 93+31=124, Resulting Numbers: [124]\n124,73 unequal: No Solution\nExploring Operation: 93/31=3, Resulting Numbers: [3]\n3,73 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 73:[13, 75], Operations: ['2*9=18', '93-18=75']\nExploring Operation: 13+75=88, Resulting Numbers: [88]\n88,73 unequal: No Solution\nExploring Operation: 75-13=62, Resulting Numbers: [62]\n62,73 unequal: No Solution\nExploring Operation: 13*75=975, Resulting Numbers: [975]\n975,73 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 73:[117, 95], Operations: ['9*13=117', '2+93=95']\nExploring Operation: 117*95=11115, Resulting Numbers: [11115]\n11115,73 unequal: No Solution\nExploring Operation: 117+95=212, Resulting Numbers: [212]\n212,73 unequal: No Solution\nExploring Operation: 117-95=22, Resulting Numbers: [22]\n22,73 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 73:[62], Operations: ['2*9=18', '13+18=31', '93-31=62']\nMoving to Node #0,1,0,0\nCurrent State: 73:[62], Operations: ['2*9=18', '93-18=75', '75-13=62']\nMoving to Node #0,1,0,0\nCurrent State: 73:[88], Operations: ['2*9=18', '93-18=75', '13+75=88']\nMoving to Node #0,0,2\nCurrent State: 73:[9, 67], Operations: ['2*13=26', '93-26=67']\nExploring Operation: 9*67=603, Resulting Numbers: [603]\n603,73 unequal: No Solution\nExploring Operation: 67-9=58, Resulting Numbers: [58]\n58,73 unequal: No Solution\nExploring Operation: 9+67=76, Resulting Numbers: [76]\n76,73 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 73:[110], Operations: ['2*13=26', '93-9=84', '26+84=110']\nMoving to Node #0,2,1,0\nCurrent State: 73:[26], Operations: ['9*13=117', '93-2=91', '117-91=26']\nMoving to Node #0,0,2,0\nCurrent State: 73:[76], Operations: ['2*13=26', '93-26=67', '9+67=76']\nMoving to Node #0,0,2,0\nCurrent State: 73:[58], Operations: ['2*13=26', '93-26=67', '67-9=58']\nMoving to Node #0,1,1,0\nCurrent State: 73:[124], Operations: ['2*9=18', '13+18=31', '93+31=124']\nMoving to Node #0,2,2,0\nCurrent State: 73:[22], Operations: ['9*13=117', '117-2=115', '115-93=22']\nMoving to Node #0,2,0,0\nCurrent State: 73:[22], Operations: ['9*13=117', '2+93=95', '117-95=22']\nMoving to Node #0,0,1,0\nCurrent State: 73:[128], Operations: ['2*13=26', '9+26=35', '93+35=128']\nMoving to Node #0,1,1,0\nCurrent State: 73:[3], Operations: ['2*9=18', '13+18=31', '93/31=3']\nMoving to Node #0,2,2,0\nCurrent State: 73:[208], Operations: ['9*13=117', '117-2=115', '93+115=208']\nMoving to Node #0,2,1,0\nCurrent State: 73:[208], Operations: ['9*13=117', '93-2=91', '117+91=208']\nMoving to Node #0,2,0,0\nCurrent State: 73:[212], Operations: ['9*13=117', '2+93=95', '117+95=212']\nMoving to Node #0,0,2,0\nCurrent State: 73:[603], Operations: ['2*13=26', '93-26=67', '9*67=603']\nMoving to Node #0,1,0,0\nCurrent State: 73:[975], Operations: ['2*9=18', '93-18=75', '13*75=975']\nMoving to Node #0,1,2,0\nCurrent State: 73:[1440], Operations: ['2*9=18', '93-13=80', '18*80=1440']\nMoving to Node #0,0,0,0\nCurrent State: 73:[2184], Operations: ['2*13=26', '93-9=84', '26*84=2184']\nMoving to Node #0,0,1,0\nCurrent State: 73:[3255], Operations: ['2*13=26', '9+26=35', '93*35=3255']\nMoving to Node #0,2,1,0\nCurrent State: 73:[10647], Operations: ['9*13=117', '93-2=91', '117*91=10647']\nMoving to Node #0,2,2,0\nCurrent State: 73:[10695], Operations: ['9*13=117', '117-2=115', '93*115=10695']\nMoving to Node #0,2,0,0\nCurrent State: 73:[11115], Operations: ['9*13=117', '2+93=95', '117*95=11115']\nNo solution found.", "role": "assistant" } ]
[ 2, 48, 12, 68 ]
34
[ "48-2=46", "12+68=80", "80-46=34" ]
Current State: 34:[2, 48, 12, 68], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [2, 12, 20] Generated Node #0,0: 34:[2, 12, 20] Operation: 68-48=20 Exploring Operation: 48-12=36, Resulting Numbers: [2, 68, 36] Generated Node #0,1: 34:[2, 68, 36] Operation: 48-12=36 Exploring Operation: 68/2=34, Resulting Numbers: [48, 12, 34] Generated Node #0,2: 34:[48, 12, 34] Operation: 68/2=34 Moving to Node #0,0 Current State: 34:[2, 12, 20], Operations: ['68-48=20'] Exploring Operation: 20-2=18, Resulting Numbers: [12, 18] Generated Node #0,0,0: 34:[12, 18] Operation: 20-2=18 Exploring Operation: 12+20=32, Resulting Numbers: [2, 32] Generated Node #0,0,1: 34:[2, 32] Operation: 12+20=32 Exploring Operation: 2+12=14, Resulting Numbers: [20, 14] Generated Node #0,0,2: 34:[20, 14] Operation: 2+12=14 Moving to Node #0,2 Current State: 34:[48, 12, 34], Operations: ['68/2=34'] Exploring Operation: 48-34=14, Resulting Numbers: [12, 14] Generated Node #0,2,0: 34:[12, 14] Operation: 48-34=14 Exploring Operation: 48-12=36, Resulting Numbers: [34, 36] Generated Node #0,2,1: 34:[34, 36] Operation: 48-12=36 Exploring Operation: 48/12=4, Resulting Numbers: [34, 4] Generated Node #0,2,2: 34:[34, 4] Operation: 48/12=4 Moving to Node #0,1 Current State: 34:[2, 68, 36], Operations: ['48-12=36'] Exploring Operation: 68/2=34, Resulting Numbers: [36, 34] Generated Node #0,1,0: 34:[36, 34] Operation: 68/2=34 Exploring Operation: 68-2=66, Resulting Numbers: [36, 66] Generated Node #0,1,1: 34:[36, 66] Operation: 68-2=66 Exploring Operation: 68-36=32, Resulting Numbers: [2, 32] Generated Node #0,1,2: 34:[2, 32] Operation: 68-36=32 Moving to Node #0,0,1 Current State: 34:[2, 32], Operations: ['68-48=20', '12+20=32'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,34 unequal: No Solution Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
0.986979
bfs_3
Current State: 34:[2, 48, 12, 68], Operations: [] Exploring Operation: 48-2=46, Resulting Numbers: [12, 68, 46] Generated Node #2: [12, 68, 46] from Operation: 48-2=46 Current State: 34:[12, 68, 46], Operations: ['48-2=46'] Exploring Operation: 12+68=80, Resulting Numbers: [46, 80] Generated Node #3: [46, 80] from Operation: 12+68=80 Current State: 34:[46, 80], Operations: ['48-2=46', '12+68=80'] Exploring Operation: 80-46=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
mult_heuristic
[ { "content": "Make 34 with the numbers [2, 48, 12, 68] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 34:[2, 48, 12, 68], Operations: []\nExploring Operation: 68-48=20, Resulting Numbers: [2, 12, 20]\nGenerated Node #0,0: 34:[2, 12, 20] Operation: 68-48=20\nExploring Operation: 48-12=36, Resulting Numbers: [2, 68, 36]\nGenerated Node #0,1: 34:[2, 68, 36] Operation: 48-12=36\nExploring Operation: 68/2=34, Resulting Numbers: [48, 12, 34]\nGenerated Node #0,2: 34:[48, 12, 34] Operation: 68/2=34\nMoving to Node #0,0\nCurrent State: 34:[2, 12, 20], Operations: ['68-48=20']\nExploring Operation: 20-2=18, Resulting Numbers: [12, 18]\nGenerated Node #0,0,0: 34:[12, 18] Operation: 20-2=18\nExploring Operation: 12+20=32, Resulting Numbers: [2, 32]\nGenerated Node #0,0,1: 34:[2, 32] Operation: 12+20=32\nExploring Operation: 2+12=14, Resulting Numbers: [20, 14]\nGenerated Node #0,0,2: 34:[20, 14] Operation: 2+12=14\nMoving to Node #0,2\nCurrent State: 34:[48, 12, 34], Operations: ['68/2=34']\nExploring Operation: 48-34=14, Resulting Numbers: [12, 14]\nGenerated Node #0,2,0: 34:[12, 14] Operation: 48-34=14\nExploring Operation: 48-12=36, Resulting Numbers: [34, 36]\nGenerated Node #0,2,1: 34:[34, 36] Operation: 48-12=36\nExploring Operation: 48/12=4, Resulting Numbers: [34, 4]\nGenerated Node #0,2,2: 34:[34, 4] Operation: 48/12=4\nMoving to Node #0,1\nCurrent State: 34:[2, 68, 36], Operations: ['48-12=36']\nExploring Operation: 68/2=34, Resulting Numbers: [36, 34]\nGenerated Node #0,1,0: 34:[36, 34] Operation: 68/2=34\nExploring Operation: 68-2=66, Resulting Numbers: [36, 66]\nGenerated Node #0,1,1: 34:[36, 66] Operation: 68-2=66\nExploring Operation: 68-36=32, Resulting Numbers: [2, 32]\nGenerated Node #0,1,2: 34:[2, 32] Operation: 68-36=32\nMoving to Node #0,0,1\nCurrent State: 34:[2, 32], Operations: ['68-48=20', '12+20=32']\nExploring Operation: 32-2=30, Resulting Numbers: [30]\n30,34 unequal: No Solution\nExploring Operation: 2+32=34, Resulting Numbers: [34]\n34,34 equal: Goal Reached\n", "role": "assistant" } ]
[ 5, 50, 98, 12 ]
32
[ "50+98=148", "12+148=160", "160/5=32" ]
Current State: 32:[5, 50, 98, 12], Operations: [] Exploring Operation: 98-50=48, Resulting Numbers: [5, 12, 48] Generated Node #0,0: 32:[5, 12, 48] Operation: 98-50=48 Moving to Node #0,0 Current State: 32:[5, 12, 48], Operations: ['98-50=48'] Exploring Operation: 48/12=4, Resulting Numbers: [5, 4] Generated Node #0,0,0: 32:[5, 4] Operation: 48/12=4 Moving to Node #0,0,0 Current State: 32:[5, 4], Operations: ['98-50=48', '48/12=4'] Exploring Operation: 5+4=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0,0,0,0 Current State: 32:[9], Operations: ['98-50=48', '48/12=4', '5+4=9'] No solution found.
0
bfs_1
Current State: 32:[5, 50, 98, 12], Operations: [] Exploring Operation: 50+98=148, Resulting Numbers: [5, 12, 148] Generated Node #2: [5, 12, 148] from Operation: 50+98=148 Current State: 32:[5, 12, 148], Operations: ['50+98=148'] Exploring Operation: 12+148=160, Resulting Numbers: [5, 160] Generated Node #3: [5, 160] from Operation: 12+148=160 Current State: 32:[5, 160], Operations: ['50+98=148', '12+148=160'] Exploring Operation: 160/5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
mult_heuristic
[ { "content": "Make 32 with the numbers [5, 50, 98, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 32:[5, 50, 98, 12], Operations: []\nExploring Operation: 98-50=48, Resulting Numbers: [5, 12, 48]\nGenerated Node #0,0: 32:[5, 12, 48] Operation: 98-50=48\nMoving to Node #0,0\nCurrent State: 32:[5, 12, 48], Operations: ['98-50=48']\nExploring Operation: 48/12=4, Resulting Numbers: [5, 4]\nGenerated Node #0,0,0: 32:[5, 4] Operation: 48/12=4\nMoving to Node #0,0,0\nCurrent State: 32:[5, 4], Operations: ['98-50=48', '48/12=4']\nExploring Operation: 5+4=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 32:[9], Operations: ['98-50=48', '48/12=4', '5+4=9']\nNo solution found.", "role": "assistant" } ]
[ 20, 66, 29, 16 ]
76
[ "66+29=95", "16*95=1520", "1520/20=76" ]
Current State: 76:[20, 66, 29, 16], Operations: [] Exploring Operation: 20+16=36, Resulting Numbers: [66, 29, 36] Generated Node #0,0: 76:[66, 29, 36] Operation: 20+16=36 Exploring Operation: 66+16=82, Resulting Numbers: [20, 29, 82] Generated Node #0,1: 76:[20, 29, 82] Operation: 66+16=82 Exploring Operation: 20+29=49, Resulting Numbers: [66, 16, 49] Generated Node #0,2: 76:[66, 16, 49] Operation: 20+29=49 Exploring Operation: 29+16=45, Resulting Numbers: [20, 66, 45] Generated Node #0,3: 76:[20, 66, 45] Operation: 29+16=45 Moving to Node #0,0 Current State: 76:[66, 29, 36], Operations: ['20+16=36'] Exploring Operation: 66+36=102, Resulting Numbers: [29, 102] Generated Node #0,0,0: 76:[29, 102] Operation: 66+36=102 Exploring Operation: 66-29=37, Resulting Numbers: [36, 37] Generated Node #0,0,1: 76:[36, 37] Operation: 66-29=37 Exploring Operation: 29+36=65, Resulting Numbers: [66, 65] Generated Node #0,0,2: 76:[66, 65] Operation: 29+36=65 Exploring Operation: 66+29=95, Resulting Numbers: [36, 95] Generated Node #0,0,3: 76:[36, 95] Operation: 66+29=95 Moving to Node #0,3 Current State: 76:[20, 66, 45], Operations: ['29+16=45'] Exploring Operation: 66-20=46, Resulting Numbers: [45, 46] Generated Node #0,3,0: 76:[45, 46] Operation: 66-20=46 Exploring Operation: 45-20=25, Resulting Numbers: [66, 25] Generated Node #0,3,1: 76:[66, 25] Operation: 45-20=25 Exploring Operation: 20+66=86, Resulting Numbers: [45, 86] Generated Node #0,3,2: 76:[45, 86] Operation: 20+66=86 Exploring Operation: 20+45=65, Resulting Numbers: [66, 65] Generated Node #0,3,3: 76:[66, 65] Operation: 20+45=65 Moving to Node #0,2 Current State: 76:[66, 16, 49], Operations: ['20+29=49'] Exploring Operation: 16+49=65, Resulting Numbers: [66, 65] Generated Node #0,2,0: 76:[66, 65] Operation: 16+49=65 Exploring Operation: 66+16=82, Resulting Numbers: [49, 82] Generated Node #0,2,1: 76:[49, 82] Operation: 66+16=82 Exploring Operation: 49-16=33, Resulting Numbers: [66, 33] Generated Node #0,2,2: 76:[66, 33] Operation: 49-16=33 Exploring Operation: 66-16=50, Resulting Numbers: [49, 50] Generated Node #0,2,3: 76:[49, 50] Operation: 66-16=50 Moving to Node #0,1 Current State: 76:[20, 29, 82], Operations: ['66+16=82'] Exploring Operation: 20+29=49, Resulting Numbers: [82, 49] Generated Node #0,1,0: 76:[82, 49] Operation: 20+29=49 Exploring Operation: 20+82=102, Resulting Numbers: [29, 102] Generated Node #0,1,1: 76:[29, 102] Operation: 20+82=102 Exploring Operation: 29-20=9, Resulting Numbers: [82, 9] Generated Node #0,1,2: 76:[82, 9] Operation: 29-20=9 Exploring Operation: 82-20=62, Resulting Numbers: [29, 62] Generated Node #0,1,3: 76:[29, 62] Operation: 82-20=62 Moving to Node #0,0,2 Current State: 76:[66, 65], Operations: ['20+16=36', '29+36=65'] Exploring Operation: 66*65=4290, Resulting Numbers: [4290] 4290,76 unequal: No Solution Exploring Operation: 66-65=1, Resulting Numbers: [1] 1,76 unequal: No Solution Exploring Operation: 66+65=131, Resulting Numbers: [131] 131,76 unequal: No Solution Moving to Node #0,3,3 Current State: 76:[66, 65], Operations: ['29+16=45', '20+45=65'] Exploring Operation: 66+65=131, Resulting Numbers: [131] 131,76 unequal: No Solution Exploring Operation: 66*65=4290, Resulting Numbers: [4290] 4290,76 unequal: No Solution Exploring Operation: 66-65=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,2,0 Current State: 76:[66, 65], Operations: ['20+29=49', '16+49=65'] Exploring Operation: 66-65=1, Resulting Numbers: [1] 1,76 unequal: No Solution Exploring Operation: 66*65=4290, Resulting Numbers: [4290] 4290,76 unequal: No Solution Exploring Operation: 66+65=131, Resulting Numbers: [131] 131,76 unequal: No Solution Moving to Node #0,1,0 Current State: 76:[82, 49], Operations: ['66+16=82', '20+29=49'] Exploring Operation: 82*49=4018, Resulting Numbers: [4018] 4018,76 unequal: No Solution Exploring Operation: 82-49=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 82+49=131, Resulting Numbers: [131] 131,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[49, 82], Operations: ['20+29=49', '66+16=82'] Exploring Operation: 82-49=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 49*82=4018, Resulting Numbers: [4018] 4018,76 unequal: No Solution Exploring Operation: 49+82=131, Resulting Numbers: [131] 131,76 unequal: No Solution Moving to Node #0,3,2 Current State: 76:[45, 86], Operations: ['29+16=45', '20+66=86'] Exploring Operation: 45+86=131, Resulting Numbers: [131] 131,76 unequal: No Solution Exploring Operation: 45*86=3870, Resulting Numbers: [3870] 3870,76 unequal: No Solution Exploring Operation: 86-45=41, Resulting Numbers: [41] 41,76 unequal: No Solution Moving to Node #0,2,3 Current State: 76:[49, 50], Operations: ['20+29=49', '66-16=50'] Exploring Operation: 50-49=1, Resulting Numbers: [1] 1,76 unequal: No Solution Exploring Operation: 49*50=2450, Resulting Numbers: [2450] 2450,76 unequal: No Solution Exploring Operation: 49+50=99, Resulting Numbers: [99] 99,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[66, 33], Operations: ['20+29=49', '49-16=33'] Exploring Operation: 66+33=99, Resulting Numbers: [99] 99,76 unequal: No Solution Exploring Operation: 66*33=2178, Resulting Numbers: [2178] 2178,76 unequal: No Solution Exploring Operation: 66-33=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 66/33=2, Resulting Numbers: [2] 2,76 unequal: No Solution Moving to Node #0,2,3,0 Current State: 76:[99], Operations: ['20+29=49', '66-16=50', '49+50=99'] Moving to Node #0,2,2,0 Current State: 76:[99], Operations: ['20+29=49', '49-16=33', '66+33=99'] Moving to Node #0,0,3 Current State: 76:[36, 95], Operations: ['20+16=36', '66+29=95'] Exploring Operation: 95-36=59, Resulting Numbers: [59] 59,76 unequal: No Solution Exploring Operation: 36+95=131, Resulting Numbers: [131] 131,76 unequal: No Solution Exploring Operation: 36*95=3420, Resulting Numbers: [3420] 3420,76 unequal: No Solution Moving to Node #0,3,0 Current State: 76:[45, 46], Operations: ['29+16=45', '66-20=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,76 unequal: No Solution Exploring Operation: 45*46=2070, Resulting Numbers: [2070] 2070,76 unequal: No Solution Exploring Operation: 46-45=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,3,0,0 Current State: 76:[91], Operations: ['29+16=45', '66-20=46', '45+46=91'] Moving to Node #0,0,3,0 Current State: 76:[59], Operations: ['20+16=36', '66+29=95', '95-36=59'] Moving to Node #0,1,3 Current State: 76:[29, 62], Operations: ['66+16=82', '82-20=62'] Exploring Operation: 62-29=33, Resulting Numbers: [33] 33,76 unequal: No Solution Exploring Operation: 29+62=91, Resulting Numbers: [91] 91,76 unequal: No Solution Exploring Operation: 29*62=1798, Resulting Numbers: [1798] 1798,76 unequal: No Solution Moving to Node #0,3,1 Current State: 76:[66, 25], Operations: ['29+16=45', '45-20=25'] Exploring Operation: 66+25=91, Resulting Numbers: [91] 91,76 unequal: No Solution Exploring Operation: 66*25=1650, Resulting Numbers: [1650] 1650,76 unequal: No Solution Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,76 unequal: No Solution Moving to Node #0,1,3,0 Current State: 76:[91], Operations: ['66+16=82', '82-20=62', '29+62=91'] Moving to Node #0,3,1,0 Current State: 76:[91], Operations: ['29+16=45', '45-20=25', '66+25=91'] Moving to Node #0,3,2,0 Current State: 76:[41], Operations: ['29+16=45', '20+66=86', '86-45=41'] Moving to Node #0,3,1,0 Current State: 76:[41], Operations: ['29+16=45', '45-20=25', '66-25=41'] Moving to Node #0,0,0 Current State: 76:[29, 102], Operations: ['20+16=36', '66+36=102'] Exploring Operation: 102-29=73, Resulting Numbers: [73] 73,76 unequal: No Solution Exploring Operation: 29*102=2958, Resulting Numbers: [2958] 2958,76 unequal: No Solution Exploring Operation: 29+102=131, Resulting Numbers: [131] 131,76 unequal: No Solution Moving to Node #0,1,1 Current State: 76:[29, 102], Operations: ['66+16=82', '20+82=102'] Exploring Operation: 29+102=131, Resulting Numbers: [131] 131,76 unequal: No Solution Exploring Operation: 29*102=2958, Resulting Numbers: [2958] 2958,76 unequal: No Solution Exploring Operation: 102-29=73, Resulting Numbers: [73] 73,76 unequal: No Solution Moving to Node #0,1,2 Current State: 76:[82, 9], Operations: ['66+16=82', '29-20=9'] Exploring Operation: 82*9=738, Resulting Numbers: [738] 738,76 unequal: No Solution Exploring Operation: 82+9=91, Resulting Numbers: [91] 91,76 unequal: No Solution Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,76 unequal: No Solution Moving to Node #0,0,1 Current State: 76:[36, 37], Operations: ['20+16=36', '66-29=37'] Exploring Operation: 36*37=1332, Resulting Numbers: [1332] 1332,76 unequal: No Solution Exploring Operation: 37-36=1, Resulting Numbers: [1] 1,76 unequal: No Solution Exploring Operation: 36+37=73, Resulting Numbers: [73] 73,76 unequal: No Solution Moving to Node #0,0,0,0 Current State: 76:[73], Operations: ['20+16=36', '66+36=102', '102-29=73'] Moving to Node #0,1,1,0 Current State: 76:[73], Operations: ['66+16=82', '20+82=102', '102-29=73'] Moving to Node #0,1,2,0 Current State: 76:[73], Operations: ['66+16=82', '29-20=9', '82-9=73'] Moving to Node #0,0,1,0 Current State: 76:[73], Operations: ['20+16=36', '66-29=37', '36+37=73'] Moving to Node #0,1,2,0 Current State: 76:[91], Operations: ['66+16=82', '29-20=9', '82+9=91'] Moving to Node #0,2,2,0 Current State: 76:[33], Operations: ['20+29=49', '49-16=33', '66-33=33'] Moving to Node #0,2,1,0 Current State: 76:[33], Operations: ['20+29=49', '66+16=82', '82-49=33'] Moving to Node #0,1,0,0 Current State: 76:[33], Operations: ['66+16=82', '20+29=49', '82-49=33'] Moving to Node #0,1,3,0 Current State: 76:[33], Operations: ['66+16=82', '82-20=62', '62-29=33'] Moving to Node #0,0,3,0 Current State: 76:[131], Operations: ['20+16=36', '66+29=95', '36+95=131'] Moving to Node #0,1,0,0 Current State: 76:[131], Operations: ['66+16=82', '20+29=49', '82+49=131'] Moving to Node #0,0,0,0 Current State: 76:[131], Operations: ['20+16=36', '66+36=102', '29+102=131'] Moving to Node #0,0,2,0 Current State: 76:[131], Operations: ['20+16=36', '29+36=65', '66+65=131'] Moving to Node #0,3,2,0 Current State: 76:[131], Operations: ['29+16=45', '20+66=86', '45+86=131'] Moving to Node #0,2,1,0 Current State: 76:[131], Operations: ['20+29=49', '66+16=82', '49+82=131'] Moving to Node #0,2,0,0 Current State: 76:[131], Operations: ['20+29=49', '16+49=65', '66+65=131'] Moving to Node #0,1,1,0 Current State: 76:[131], Operations: ['66+16=82', '20+82=102', '29+102=131'] Moving to Node #0,3,3,0 Current State: 76:[131], Operations: ['29+16=45', '20+45=65', '66+65=131'] Moving to Node #0,2,2,0 Current State: 76:[2], Operations: ['20+29=49', '49-16=33', '66/33=2'] Moving to Node #0,0,2,0 Current State: 76:[1], Operations: ['20+16=36', '29+36=65', '66-65=1'] Moving to Node #0,2,3,0 Current State: 76:[1], Operations: ['20+29=49', '66-16=50', '50-49=1'] Moving to Node #0,2,0,0 Current State: 76:[1], Operations: ['20+29=49', '16+49=65', '66-65=1'] Moving to Node #0,3,0,0 Current State: 76:[1], Operations: ['29+16=45', '66-20=46', '46-45=1'] Moving to Node #0,0,1,0 Current State: 76:[1], Operations: ['20+16=36', '66-29=37', '37-36=1'] Moving to Node #0,3,3,0 Current State: 76:[1], Operations: ['29+16=45', '20+45=65', '66-65=1'] Moving to Node #0,1,2,0 Current State: 76:[738], Operations: ['66+16=82', '29-20=9', '82*9=738'] Moving to Node #0,0,1,0 Current State: 76:[1332], Operations: ['20+16=36', '66-29=37', '36*37=1332'] Moving to Node #0,3,1,0 Current State: 76:[1650], Operations: ['29+16=45', '45-20=25', '66*25=1650'] Moving to Node #0,1,3,0 Current State: 76:[1798], Operations: ['66+16=82', '82-20=62', '29*62=1798'] Moving to Node #0,3,0,0 Current State: 76:[2070], Operations: ['29+16=45', '66-20=46', '45*46=2070'] Moving to Node #0,2,2,0 Current State: 76:[2178], Operations: ['20+29=49', '49-16=33', '66*33=2178'] Moving to Node #0,2,3,0 Current State: 76:[2450], Operations: ['20+29=49', '66-16=50', '49*50=2450'] Moving to Node #0,1,1,0 Current State: 76:[2958], Operations: ['66+16=82', '20+82=102', '29*102=2958'] Moving to Node #0,0,0,0 Current State: 76:[2958], Operations: ['20+16=36', '66+36=102', '29*102=2958'] Moving to Node #0,0,3,0 Current State: 76:[3420], Operations: ['20+16=36', '66+29=95', '36*95=3420'] Moving to Node #0,3,2,0 Current State: 76:[3870], Operations: ['29+16=45', '20+66=86', '45*86=3870'] Moving to Node #0,1,0,0 Current State: 76:[4018], Operations: ['66+16=82', '20+29=49', '82*49=4018'] Moving to Node #0,2,1,0 Current State: 76:[4018], Operations: ['20+29=49', '66+16=82', '49*82=4018'] Moving to Node #0,3,3,0 Current State: 76:[4290], Operations: ['29+16=45', '20+45=65', '66*65=4290'] Moving to Node #0,2,0,0 Current State: 76:[4290], Operations: ['20+29=49', '16+49=65', '66*65=4290'] Moving to Node #0,0,2,0 Current State: 76:[4290], Operations: ['20+16=36', '29+36=65', '66*65=4290'] No solution found.
0
bfs_4
Current State: 76:[20, 66, 29, 16], Operations: [] Exploring Operation: 66+29=95, Resulting Numbers: [20, 16, 95] Generated Node #2: [20, 16, 95] from Operation: 66+29=95 Current State: 76:[20, 16, 95], Operations: ['66+29=95'] Exploring Operation: 16*95=1520, Resulting Numbers: [20, 1520] Generated Node #3: [20, 1520] from Operation: 16*95=1520 Current State: 76:[20, 1520], Operations: ['66+29=95', '16*95=1520'] Exploring Operation: 1520/20=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
sum_heuristic
[ { "content": "Make 76 with the numbers [20, 66, 29, 16] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 76:[20, 66, 29, 16], Operations: []\nExploring Operation: 20+16=36, Resulting Numbers: [66, 29, 36]\nGenerated Node #0,0: 76:[66, 29, 36] Operation: 20+16=36\nExploring Operation: 66+16=82, Resulting Numbers: [20, 29, 82]\nGenerated Node #0,1: 76:[20, 29, 82] Operation: 66+16=82\nExploring Operation: 20+29=49, Resulting Numbers: [66, 16, 49]\nGenerated Node #0,2: 76:[66, 16, 49] Operation: 20+29=49\nExploring Operation: 29+16=45, Resulting Numbers: [20, 66, 45]\nGenerated Node #0,3: 76:[20, 66, 45] Operation: 29+16=45\nMoving to Node #0,0\nCurrent State: 76:[66, 29, 36], Operations: ['20+16=36']\nExploring Operation: 66+36=102, Resulting Numbers: [29, 102]\nGenerated Node #0,0,0: 76:[29, 102] Operation: 66+36=102\nExploring Operation: 66-29=37, Resulting Numbers: [36, 37]\nGenerated Node #0,0,1: 76:[36, 37] Operation: 66-29=37\nExploring Operation: 29+36=65, Resulting Numbers: [66, 65]\nGenerated Node #0,0,2: 76:[66, 65] Operation: 29+36=65\nExploring Operation: 66+29=95, Resulting Numbers: [36, 95]\nGenerated Node #0,0,3: 76:[36, 95] Operation: 66+29=95\nMoving to Node #0,3\nCurrent State: 76:[20, 66, 45], Operations: ['29+16=45']\nExploring Operation: 66-20=46, Resulting Numbers: [45, 46]\nGenerated Node #0,3,0: 76:[45, 46] Operation: 66-20=46\nExploring Operation: 45-20=25, Resulting Numbers: [66, 25]\nGenerated Node #0,3,1: 76:[66, 25] Operation: 45-20=25\nExploring Operation: 20+66=86, Resulting Numbers: [45, 86]\nGenerated Node #0,3,2: 76:[45, 86] Operation: 20+66=86\nExploring Operation: 20+45=65, Resulting Numbers: [66, 65]\nGenerated Node #0,3,3: 76:[66, 65] Operation: 20+45=65\nMoving to Node #0,2\nCurrent State: 76:[66, 16, 49], Operations: ['20+29=49']\nExploring Operation: 16+49=65, Resulting Numbers: [66, 65]\nGenerated Node #0,2,0: 76:[66, 65] Operation: 16+49=65\nExploring Operation: 66+16=82, Resulting Numbers: [49, 82]\nGenerated Node #0,2,1: 76:[49, 82] Operation: 66+16=82\nExploring Operation: 49-16=33, Resulting Numbers: [66, 33]\nGenerated Node #0,2,2: 76:[66, 33] Operation: 49-16=33\nExploring Operation: 66-16=50, Resulting Numbers: [49, 50]\nGenerated Node #0,2,3: 76:[49, 50] Operation: 66-16=50\nMoving to Node #0,1\nCurrent State: 76:[20, 29, 82], Operations: ['66+16=82']\nExploring Operation: 20+29=49, Resulting Numbers: [82, 49]\nGenerated Node #0,1,0: 76:[82, 49] Operation: 20+29=49\nExploring Operation: 20+82=102, Resulting Numbers: [29, 102]\nGenerated Node #0,1,1: 76:[29, 102] Operation: 20+82=102\nExploring Operation: 29-20=9, Resulting Numbers: [82, 9]\nGenerated Node #0,1,2: 76:[82, 9] Operation: 29-20=9\nExploring Operation: 82-20=62, Resulting Numbers: [29, 62]\nGenerated Node #0,1,3: 76:[29, 62] Operation: 82-20=62\nMoving to Node #0,0,2\nCurrent State: 76:[66, 65], Operations: ['20+16=36', '29+36=65']\nExploring Operation: 66*65=4290, Resulting Numbers: [4290]\n4290,76 unequal: No Solution\nExploring Operation: 66-65=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nExploring Operation: 66+65=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 76:[66, 65], Operations: ['29+16=45', '20+45=65']\nExploring Operation: 66+65=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nExploring Operation: 66*65=4290, Resulting Numbers: [4290]\n4290,76 unequal: No Solution\nExploring Operation: 66-65=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 76:[66, 65], Operations: ['20+29=49', '16+49=65']\nExploring Operation: 66-65=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nExploring Operation: 66*65=4290, Resulting Numbers: [4290]\n4290,76 unequal: No Solution\nExploring Operation: 66+65=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 76:[82, 49], Operations: ['66+16=82', '20+29=49']\nExploring Operation: 82*49=4018, Resulting Numbers: [4018]\n4018,76 unequal: No Solution\nExploring Operation: 82-49=33, Resulting Numbers: [33]\n33,76 unequal: No Solution\nExploring Operation: 82+49=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 76:[49, 82], Operations: ['20+29=49', '66+16=82']\nExploring Operation: 82-49=33, Resulting Numbers: [33]\n33,76 unequal: No Solution\nExploring Operation: 49*82=4018, Resulting Numbers: [4018]\n4018,76 unequal: No Solution\nExploring Operation: 49+82=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 76:[45, 86], Operations: ['29+16=45', '20+66=86']\nExploring Operation: 45+86=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nExploring Operation: 45*86=3870, Resulting Numbers: [3870]\n3870,76 unequal: No Solution\nExploring Operation: 86-45=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 76:[49, 50], Operations: ['20+29=49', '66-16=50']\nExploring Operation: 50-49=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nExploring Operation: 49*50=2450, Resulting Numbers: [2450]\n2450,76 unequal: No Solution\nExploring Operation: 49+50=99, Resulting Numbers: [99]\n99,76 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 76:[66, 33], Operations: ['20+29=49', '49-16=33']\nExploring Operation: 66+33=99, Resulting Numbers: [99]\n99,76 unequal: No Solution\nExploring Operation: 66*33=2178, Resulting Numbers: [2178]\n2178,76 unequal: No Solution\nExploring Operation: 66-33=33, Resulting Numbers: [33]\n33,76 unequal: No Solution\nExploring Operation: 66/33=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0,2,3,0\nCurrent State: 76:[99], Operations: ['20+29=49', '66-16=50', '49+50=99']\nMoving to Node #0,2,2,0\nCurrent State: 76:[99], Operations: ['20+29=49', '49-16=33', '66+33=99']\nMoving to Node #0,0,3\nCurrent State: 76:[36, 95], Operations: ['20+16=36', '66+29=95']\nExploring Operation: 95-36=59, Resulting Numbers: [59]\n59,76 unequal: No Solution\nExploring Operation: 36+95=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nExploring Operation: 36*95=3420, Resulting Numbers: [3420]\n3420,76 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 76:[45, 46], Operations: ['29+16=45', '66-20=46']\nExploring Operation: 45+46=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nExploring Operation: 45*46=2070, Resulting Numbers: [2070]\n2070,76 unequal: No Solution\nExploring Operation: 46-45=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,3,0,0\nCurrent State: 76:[91], Operations: ['29+16=45', '66-20=46', '45+46=91']\nMoving to Node #0,0,3,0\nCurrent State: 76:[59], Operations: ['20+16=36', '66+29=95', '95-36=59']\nMoving to Node #0,1,3\nCurrent State: 76:[29, 62], Operations: ['66+16=82', '82-20=62']\nExploring Operation: 62-29=33, Resulting Numbers: [33]\n33,76 unequal: No Solution\nExploring Operation: 29+62=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nExploring Operation: 29*62=1798, Resulting Numbers: [1798]\n1798,76 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 76:[66, 25], Operations: ['29+16=45', '45-20=25']\nExploring Operation: 66+25=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nExploring Operation: 66*25=1650, Resulting Numbers: [1650]\n1650,76 unequal: No Solution\nExploring Operation: 66-25=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,1,3,0\nCurrent State: 76:[91], Operations: ['66+16=82', '82-20=62', '29+62=91']\nMoving to Node #0,3,1,0\nCurrent State: 76:[91], Operations: ['29+16=45', '45-20=25', '66+25=91']\nMoving to Node #0,3,2,0\nCurrent State: 76:[41], Operations: ['29+16=45', '20+66=86', '86-45=41']\nMoving to Node #0,3,1,0\nCurrent State: 76:[41], Operations: ['29+16=45', '45-20=25', '66-25=41']\nMoving to Node #0,0,0\nCurrent State: 76:[29, 102], Operations: ['20+16=36', '66+36=102']\nExploring Operation: 102-29=73, Resulting Numbers: [73]\n73,76 unequal: No Solution\nExploring Operation: 29*102=2958, Resulting Numbers: [2958]\n2958,76 unequal: No Solution\nExploring Operation: 29+102=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 76:[29, 102], Operations: ['66+16=82', '20+82=102']\nExploring Operation: 29+102=131, Resulting Numbers: [131]\n131,76 unequal: No Solution\nExploring Operation: 29*102=2958, Resulting Numbers: [2958]\n2958,76 unequal: No Solution\nExploring Operation: 102-29=73, Resulting Numbers: [73]\n73,76 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 76:[82, 9], Operations: ['66+16=82', '29-20=9']\nExploring Operation: 82*9=738, Resulting Numbers: [738]\n738,76 unequal: No Solution\nExploring Operation: 82+9=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nExploring Operation: 82-9=73, Resulting Numbers: [73]\n73,76 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 76:[36, 37], Operations: ['20+16=36', '66-29=37']\nExploring Operation: 36*37=1332, Resulting Numbers: [1332]\n1332,76 unequal: No Solution\nExploring Operation: 37-36=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nExploring Operation: 36+37=73, Resulting Numbers: [73]\n73,76 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 76:[73], Operations: ['20+16=36', '66+36=102', '102-29=73']\nMoving to Node #0,1,1,0\nCurrent State: 76:[73], Operations: ['66+16=82', '20+82=102', '102-29=73']\nMoving to Node #0,1,2,0\nCurrent State: 76:[73], Operations: ['66+16=82', '29-20=9', '82-9=73']\nMoving to Node #0,0,1,0\nCurrent State: 76:[73], Operations: ['20+16=36', '66-29=37', '36+37=73']\nMoving to Node #0,1,2,0\nCurrent State: 76:[91], Operations: ['66+16=82', '29-20=9', '82+9=91']\nMoving to Node #0,2,2,0\nCurrent State: 76:[33], Operations: ['20+29=49', '49-16=33', '66-33=33']\nMoving to Node #0,2,1,0\nCurrent State: 76:[33], Operations: ['20+29=49', '66+16=82', '82-49=33']\nMoving to Node #0,1,0,0\nCurrent State: 76:[33], Operations: ['66+16=82', '20+29=49', '82-49=33']\nMoving to Node #0,1,3,0\nCurrent State: 76:[33], Operations: ['66+16=82', '82-20=62', '62-29=33']\nMoving to Node #0,0,3,0\nCurrent State: 76:[131], Operations: ['20+16=36', '66+29=95', '36+95=131']\nMoving to Node #0,1,0,0\nCurrent State: 76:[131], Operations: ['66+16=82', '20+29=49', '82+49=131']\nMoving to Node #0,0,0,0\nCurrent State: 76:[131], Operations: ['20+16=36', '66+36=102', '29+102=131']\nMoving to Node #0,0,2,0\nCurrent State: 76:[131], Operations: ['20+16=36', '29+36=65', '66+65=131']\nMoving to Node #0,3,2,0\nCurrent State: 76:[131], Operations: ['29+16=45', '20+66=86', '45+86=131']\nMoving to Node #0,2,1,0\nCurrent State: 76:[131], Operations: ['20+29=49', '66+16=82', '49+82=131']\nMoving to Node #0,2,0,0\nCurrent State: 76:[131], Operations: ['20+29=49', '16+49=65', '66+65=131']\nMoving to Node #0,1,1,0\nCurrent State: 76:[131], Operations: ['66+16=82', '20+82=102', '29+102=131']\nMoving to Node #0,3,3,0\nCurrent State: 76:[131], Operations: ['29+16=45', '20+45=65', '66+65=131']\nMoving to Node #0,2,2,0\nCurrent State: 76:[2], Operations: ['20+29=49', '49-16=33', '66/33=2']\nMoving to Node #0,0,2,0\nCurrent State: 76:[1], Operations: ['20+16=36', '29+36=65', '66-65=1']\nMoving to Node #0,2,3,0\nCurrent State: 76:[1], Operations: ['20+29=49', '66-16=50', '50-49=1']\nMoving to Node #0,2,0,0\nCurrent State: 76:[1], Operations: ['20+29=49', '16+49=65', '66-65=1']\nMoving to Node #0,3,0,0\nCurrent State: 76:[1], Operations: ['29+16=45', '66-20=46', '46-45=1']\nMoving to Node #0,0,1,0\nCurrent State: 76:[1], Operations: ['20+16=36', '66-29=37', '37-36=1']\nMoving to Node #0,3,3,0\nCurrent State: 76:[1], Operations: ['29+16=45', '20+45=65', '66-65=1']\nMoving to Node #0,1,2,0\nCurrent State: 76:[738], Operations: ['66+16=82', '29-20=9', '82*9=738']\nMoving to Node #0,0,1,0\nCurrent State: 76:[1332], Operations: ['20+16=36', '66-29=37', '36*37=1332']\nMoving to Node #0,3,1,0\nCurrent State: 76:[1650], Operations: ['29+16=45', '45-20=25', '66*25=1650']\nMoving to Node #0,1,3,0\nCurrent State: 76:[1798], Operations: ['66+16=82', '82-20=62', '29*62=1798']\nMoving to Node #0,3,0,0\nCurrent State: 76:[2070], Operations: ['29+16=45', '66-20=46', '45*46=2070']\nMoving to Node #0,2,2,0\nCurrent State: 76:[2178], Operations: ['20+29=49', '49-16=33', '66*33=2178']\nMoving to Node #0,2,3,0\nCurrent State: 76:[2450], Operations: ['20+29=49', '66-16=50', '49*50=2450']\nMoving to Node #0,1,1,0\nCurrent State: 76:[2958], Operations: ['66+16=82', '20+82=102', '29*102=2958']\nMoving to Node #0,0,0,0\nCurrent State: 76:[2958], Operations: ['20+16=36', '66+36=102', '29*102=2958']\nMoving to Node #0,0,3,0\nCurrent State: 76:[3420], Operations: ['20+16=36', '66+29=95', '36*95=3420']\nMoving to Node #0,3,2,0\nCurrent State: 76:[3870], Operations: ['29+16=45', '20+66=86', '45*86=3870']\nMoving to Node #0,1,0,0\nCurrent State: 76:[4018], Operations: ['66+16=82', '20+29=49', '82*49=4018']\nMoving to Node #0,2,1,0\nCurrent State: 76:[4018], Operations: ['20+29=49', '66+16=82', '49*82=4018']\nMoving to Node #0,3,3,0\nCurrent State: 76:[4290], Operations: ['29+16=45', '20+45=65', '66*65=4290']\nMoving to Node #0,2,0,0\nCurrent State: 76:[4290], Operations: ['20+29=49', '16+49=65', '66*65=4290']\nMoving to Node #0,0,2,0\nCurrent State: 76:[4290], Operations: ['20+16=36', '29+36=65', '66*65=4290']\nNo solution found.", "role": "assistant" } ]
[ 22, 93, 80, 36 ]
95
[ "80-36=44", "44/22=2", "93+2=95" ]
Current State: 95:[22, 93, 80, 36], Operations: [] Exploring Operation: 22+93=115, Resulting Numbers: [80, 36, 115] Generated Node #0,0: 95:[80, 36, 115] Operation: 22+93=115 Exploring Operation: 22+36=58, Resulting Numbers: [93, 80, 58] Generated Node #0,1: 95:[93, 80, 58] Operation: 22+36=58 Exploring Operation: 22+80=102, Resulting Numbers: [93, 36, 102] Generated Node #0,2: 95:[93, 36, 102] Operation: 22+80=102 Moving to Node #0,1 Current State: 95:[93, 80, 58], Operations: ['22+36=58'] Exploring Operation: 80+58=138, Resulting Numbers: [93, 138] Generated Node #0,1,0: 95:[93, 138] Operation: 80+58=138 Exploring Operation: 93-58=35, Resulting Numbers: [80, 35] Generated Node #0,1,1: 95:[80, 35] Operation: 93-58=35 Exploring Operation: 93+58=151, Resulting Numbers: [80, 151] Generated Node #0,1,2: 95:[80, 151] Operation: 93+58=151 Moving to Node #0,2 Current State: 95:[93, 36, 102], Operations: ['22+80=102'] Exploring Operation: 93+36=129, Resulting Numbers: [102, 129] Generated Node #0,2,0: 95:[102, 129] Operation: 93+36=129 Exploring Operation: 93-36=57, Resulting Numbers: [102, 57] Generated Node #0,2,1: 95:[102, 57] Operation: 93-36=57 Exploring Operation: 102-36=66, Resulting Numbers: [93, 66] Generated Node #0,2,2: 95:[93, 66] Operation: 102-36=66 Moving to Node #0,0 Current State: 95:[80, 36, 115], Operations: ['22+93=115'] Exploring Operation: 80-36=44, Resulting Numbers: [115, 44] Generated Node #0,0,0: 95:[115, 44] Operation: 80-36=44 Exploring Operation: 115-36=79, Resulting Numbers: [80, 79] Generated Node #0,0,1: 95:[80, 79] Operation: 115-36=79 Exploring Operation: 80+36=116, Resulting Numbers: [115, 116] Generated Node #0,0,2: 95:[115, 116] Operation: 80+36=116 Moving to Node #0,2,2 Current State: 95:[93, 66], Operations: ['22+80=102', '102-36=66'] Exploring Operation: 93+66=159, Resulting Numbers: [159] 159,95 unequal: No Solution Exploring Operation: 93-66=27, Resulting Numbers: [27] 27,95 unequal: No Solution Exploring Operation: 93*66=6138, Resulting Numbers: [6138] 6138,95 unequal: No Solution Moving to Node #0,0,1 Current State: 95:[80, 79], Operations: ['22+93=115', '115-36=79'] Exploring Operation: 80*79=6320, Resulting Numbers: [6320] 6320,95 unequal: No Solution Exploring Operation: 80-79=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 80+79=159, Resulting Numbers: [159] 159,95 unequal: No Solution Moving to Node #0,2,0 Current State: 95:[102, 129], Operations: ['22+80=102', '93+36=129'] Exploring Operation: 129-102=27, Resulting Numbers: [27] 27,95 unequal: No Solution Exploring Operation: 102+129=231, Resulting Numbers: [231] 231,95 unequal: No Solution Exploring Operation: 102*129=13158, Resulting Numbers: [13158] 13158,95 unequal: No Solution Moving to Node #0,0,2 Current State: 95:[115, 116], Operations: ['22+93=115', '80+36=116'] Exploring Operation: 116-115=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 115+116=231, Resulting Numbers: [231] 231,95 unequal: No Solution Exploring Operation: 115*116=13340, Resulting Numbers: [13340] 13340,95 unequal: No Solution Moving to Node #0,2,1 Current State: 95:[102, 57], Operations: ['22+80=102', '93-36=57'] Exploring Operation: 102*57=5814, Resulting Numbers: [5814] 5814,95 unequal: No Solution Exploring Operation: 102+57=159, Resulting Numbers: [159] 159,95 unequal: No Solution Exploring Operation: 102-57=45, Resulting Numbers: [45] 45,95 unequal: No Solution Moving to Node #0,1,0 Current State: 95:[93, 138], Operations: ['22+36=58', '80+58=138'] Exploring Operation: 138-93=45, Resulting Numbers: [45] 45,95 unequal: No Solution Exploring Operation: 93*138=12834, Resulting Numbers: [12834] 12834,95 unequal: No Solution Exploring Operation: 93+138=231, Resulting Numbers: [231] 231,95 unequal: No Solution Moving to Node #0,0,0 Current State: 95:[115, 44], Operations: ['22+93=115', '80-36=44'] Exploring Operation: 115+44=159, Resulting Numbers: [159] 159,95 unequal: No Solution Exploring Operation: 115*44=5060, Resulting Numbers: [5060] 5060,95 unequal: No Solution Exploring Operation: 115-44=71, Resulting Numbers: [71] 71,95 unequal: No Solution Moving to Node #0,1,2 Current State: 95:[80, 151], Operations: ['22+36=58', '93+58=151'] Exploring Operation: 80+151=231, Resulting Numbers: [231] 231,95 unequal: No Solution Exploring Operation: 151-80=71, Resulting Numbers: [71] 71,95 unequal: No Solution Exploring Operation: 80*151=12080, Resulting Numbers: [12080] 12080,95 unequal: No Solution Moving to Node #0,1,1 Current State: 95:[80, 35], Operations: ['22+36=58', '93-58=35'] Exploring Operation: 80+35=115, Resulting Numbers: [115] 115,95 unequal: No Solution Exploring Operation: 80*35=2800, Resulting Numbers: [2800] 2800,95 unequal: No Solution Exploring Operation: 80-35=45, Resulting Numbers: [45] 45,95 unequal: No Solution Moving to Node #0,1,1,0 Current State: 95:[115], Operations: ['22+36=58', '93-58=35', '80+35=115'] Moving to Node #0,0,0,0 Current State: 95:[71], Operations: ['22+93=115', '80-36=44', '115-44=71'] Moving to Node #0,1,2,0 Current State: 95:[71], Operations: ['22+36=58', '93+58=151', '151-80=71'] Moving to Node #0,1,1,0 Current State: 95:[45], Operations: ['22+36=58', '93-58=35', '80-35=45'] Moving to Node #0,2,1,0 Current State: 95:[45], Operations: ['22+80=102', '93-36=57', '102-57=45'] Moving to Node #0,1,0,0 Current State: 95:[45], Operations: ['22+36=58', '80+58=138', '138-93=45'] Moving to Node #0,2,2,0 Current State: 95:[159], Operations: ['22+80=102', '102-36=66', '93+66=159'] Moving to Node #0,0,1,0 Current State: 95:[159], Operations: ['22+93=115', '115-36=79', '80+79=159'] Moving to Node #0,0,0,0 Current State: 95:[159], Operations: ['22+93=115', '80-36=44', '115+44=159'] Moving to Node #0,2,1,0 Current State: 95:[159], Operations: ['22+80=102', '93-36=57', '102+57=159'] Moving to Node #0,2,0,0 Current State: 95:[27], Operations: ['22+80=102', '93+36=129', '129-102=27'] Moving to Node #0,2,2,0 Current State: 95:[27], Operations: ['22+80=102', '102-36=66', '93-66=27'] Moving to Node #0,0,2,0 Current State: 95:[1], Operations: ['22+93=115', '80+36=116', '116-115=1'] Moving to Node #0,0,1,0 Current State: 95:[1], Operations: ['22+93=115', '115-36=79', '80-79=1'] Moving to Node #0,0,2,0 Current State: 95:[231], Operations: ['22+93=115', '80+36=116', '115+116=231'] Moving to Node #0,1,0,0 Current State: 95:[231], Operations: ['22+36=58', '80+58=138', '93+138=231'] Moving to Node #0,2,0,0 Current State: 95:[231], Operations: ['22+80=102', '93+36=129', '102+129=231'] Moving to Node #0,1,2,0 Current State: 95:[231], Operations: ['22+36=58', '93+58=151', '80+151=231'] Moving to Node #0,1,1,0 Current State: 95:[2800], Operations: ['22+36=58', '93-58=35', '80*35=2800'] Moving to Node #0,0,0,0 Current State: 95:[5060], Operations: ['22+93=115', '80-36=44', '115*44=5060'] Moving to Node #0,2,1,0 Current State: 95:[5814], Operations: ['22+80=102', '93-36=57', '102*57=5814'] Moving to Node #0,2,2,0 Current State: 95:[6138], Operations: ['22+80=102', '102-36=66', '93*66=6138'] Moving to Node #0,0,1,0 Current State: 95:[6320], Operations: ['22+93=115', '115-36=79', '80*79=6320'] Moving to Node #0,1,2,0 Current State: 95:[12080], Operations: ['22+36=58', '93+58=151', '80*151=12080'] Moving to Node #0,1,0,0 Current State: 95:[12834], Operations: ['22+36=58', '80+58=138', '93*138=12834'] Moving to Node #0,2,0,0 Current State: 95:[13158], Operations: ['22+80=102', '93+36=129', '102*129=13158'] Moving to Node #0,0,2,0 Current State: 95:[13340], Operations: ['22+93=115', '80+36=116', '115*116=13340'] No solution found.
0
bfs_3
Current State: 95:[22, 93, 80, 36], Operations: [] Exploring Operation: 80-36=44, Resulting Numbers: [22, 93, 44] Generated Node #2: [22, 93, 44] from Operation: 80-36=44 Current State: 95:[22, 93, 44], Operations: ['80-36=44'] Exploring Operation: 44/22=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 44/22=2 Current State: 95:[93, 2], Operations: ['80-36=44', '44/22=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
sum_heuristic
[ { "content": "Make 95 with the numbers [22, 93, 80, 36] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 95:[22, 93, 80, 36], Operations: []\nExploring Operation: 22+93=115, Resulting Numbers: [80, 36, 115]\nGenerated Node #0,0: 95:[80, 36, 115] Operation: 22+93=115\nExploring Operation: 22+36=58, Resulting Numbers: [93, 80, 58]\nGenerated Node #0,1: 95:[93, 80, 58] Operation: 22+36=58\nExploring Operation: 22+80=102, Resulting Numbers: [93, 36, 102]\nGenerated Node #0,2: 95:[93, 36, 102] Operation: 22+80=102\nMoving to Node #0,1\nCurrent State: 95:[93, 80, 58], Operations: ['22+36=58']\nExploring Operation: 80+58=138, Resulting Numbers: [93, 138]\nGenerated Node #0,1,0: 95:[93, 138] Operation: 80+58=138\nExploring Operation: 93-58=35, Resulting Numbers: [80, 35]\nGenerated Node #0,1,1: 95:[80, 35] Operation: 93-58=35\nExploring Operation: 93+58=151, Resulting Numbers: [80, 151]\nGenerated Node #0,1,2: 95:[80, 151] Operation: 93+58=151\nMoving to Node #0,2\nCurrent State: 95:[93, 36, 102], Operations: ['22+80=102']\nExploring Operation: 93+36=129, Resulting Numbers: [102, 129]\nGenerated Node #0,2,0: 95:[102, 129] Operation: 93+36=129\nExploring Operation: 93-36=57, Resulting Numbers: [102, 57]\nGenerated Node #0,2,1: 95:[102, 57] Operation: 93-36=57\nExploring Operation: 102-36=66, Resulting Numbers: [93, 66]\nGenerated Node #0,2,2: 95:[93, 66] Operation: 102-36=66\nMoving to Node #0,0\nCurrent State: 95:[80, 36, 115], Operations: ['22+93=115']\nExploring Operation: 80-36=44, Resulting Numbers: [115, 44]\nGenerated Node #0,0,0: 95:[115, 44] Operation: 80-36=44\nExploring Operation: 115-36=79, Resulting Numbers: [80, 79]\nGenerated Node #0,0,1: 95:[80, 79] Operation: 115-36=79\nExploring Operation: 80+36=116, Resulting Numbers: [115, 116]\nGenerated Node #0,0,2: 95:[115, 116] Operation: 80+36=116\nMoving to Node #0,2,2\nCurrent State: 95:[93, 66], Operations: ['22+80=102', '102-36=66']\nExploring Operation: 93+66=159, Resulting Numbers: [159]\n159,95 unequal: No Solution\nExploring Operation: 93-66=27, Resulting Numbers: [27]\n27,95 unequal: No Solution\nExploring Operation: 93*66=6138, Resulting Numbers: [6138]\n6138,95 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 95:[80, 79], Operations: ['22+93=115', '115-36=79']\nExploring Operation: 80*79=6320, Resulting Numbers: [6320]\n6320,95 unequal: No Solution\nExploring Operation: 80-79=1, Resulting Numbers: [1]\n1,95 unequal: No Solution\nExploring Operation: 80+79=159, Resulting Numbers: [159]\n159,95 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 95:[102, 129], Operations: ['22+80=102', '93+36=129']\nExploring Operation: 129-102=27, Resulting Numbers: [27]\n27,95 unequal: No Solution\nExploring Operation: 102+129=231, Resulting Numbers: [231]\n231,95 unequal: No Solution\nExploring Operation: 102*129=13158, Resulting Numbers: [13158]\n13158,95 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 95:[115, 116], Operations: ['22+93=115', '80+36=116']\nExploring Operation: 116-115=1, Resulting Numbers: [1]\n1,95 unequal: No Solution\nExploring Operation: 115+116=231, Resulting Numbers: [231]\n231,95 unequal: No Solution\nExploring Operation: 115*116=13340, Resulting Numbers: [13340]\n13340,95 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 95:[102, 57], Operations: ['22+80=102', '93-36=57']\nExploring Operation: 102*57=5814, Resulting Numbers: [5814]\n5814,95 unequal: No Solution\nExploring Operation: 102+57=159, Resulting Numbers: [159]\n159,95 unequal: No Solution\nExploring Operation: 102-57=45, Resulting Numbers: [45]\n45,95 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 95:[93, 138], Operations: ['22+36=58', '80+58=138']\nExploring Operation: 138-93=45, Resulting Numbers: [45]\n45,95 unequal: No Solution\nExploring Operation: 93*138=12834, Resulting Numbers: [12834]\n12834,95 unequal: No Solution\nExploring Operation: 93+138=231, Resulting Numbers: [231]\n231,95 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 95:[115, 44], Operations: ['22+93=115', '80-36=44']\nExploring Operation: 115+44=159, Resulting Numbers: [159]\n159,95 unequal: No Solution\nExploring Operation: 115*44=5060, Resulting Numbers: [5060]\n5060,95 unequal: No Solution\nExploring Operation: 115-44=71, Resulting Numbers: [71]\n71,95 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 95:[80, 151], Operations: ['22+36=58', '93+58=151']\nExploring Operation: 80+151=231, Resulting Numbers: [231]\n231,95 unequal: No Solution\nExploring Operation: 151-80=71, Resulting Numbers: [71]\n71,95 unequal: No Solution\nExploring Operation: 80*151=12080, Resulting Numbers: [12080]\n12080,95 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 95:[80, 35], Operations: ['22+36=58', '93-58=35']\nExploring Operation: 80+35=115, Resulting Numbers: [115]\n115,95 unequal: No Solution\nExploring Operation: 80*35=2800, Resulting Numbers: [2800]\n2800,95 unequal: No Solution\nExploring Operation: 80-35=45, Resulting Numbers: [45]\n45,95 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 95:[115], Operations: ['22+36=58', '93-58=35', '80+35=115']\nMoving to Node #0,0,0,0\nCurrent State: 95:[71], Operations: ['22+93=115', '80-36=44', '115-44=71']\nMoving to Node #0,1,2,0\nCurrent State: 95:[71], Operations: ['22+36=58', '93+58=151', '151-80=71']\nMoving to Node #0,1,1,0\nCurrent State: 95:[45], Operations: ['22+36=58', '93-58=35', '80-35=45']\nMoving to Node #0,2,1,0\nCurrent State: 95:[45], Operations: ['22+80=102', '93-36=57', '102-57=45']\nMoving to Node #0,1,0,0\nCurrent State: 95:[45], Operations: ['22+36=58', '80+58=138', '138-93=45']\nMoving to Node #0,2,2,0\nCurrent State: 95:[159], Operations: ['22+80=102', '102-36=66', '93+66=159']\nMoving to Node #0,0,1,0\nCurrent State: 95:[159], Operations: ['22+93=115', '115-36=79', '80+79=159']\nMoving to Node #0,0,0,0\nCurrent State: 95:[159], Operations: ['22+93=115', '80-36=44', '115+44=159']\nMoving to Node #0,2,1,0\nCurrent State: 95:[159], Operations: ['22+80=102', '93-36=57', '102+57=159']\nMoving to Node #0,2,0,0\nCurrent State: 95:[27], Operations: ['22+80=102', '93+36=129', '129-102=27']\nMoving to Node #0,2,2,0\nCurrent State: 95:[27], Operations: ['22+80=102', '102-36=66', '93-66=27']\nMoving to Node #0,0,2,0\nCurrent State: 95:[1], Operations: ['22+93=115', '80+36=116', '116-115=1']\nMoving to Node #0,0,1,0\nCurrent State: 95:[1], Operations: ['22+93=115', '115-36=79', '80-79=1']\nMoving to Node #0,0,2,0\nCurrent State: 95:[231], Operations: ['22+93=115', '80+36=116', '115+116=231']\nMoving to Node #0,1,0,0\nCurrent State: 95:[231], Operations: ['22+36=58', '80+58=138', '93+138=231']\nMoving to Node #0,2,0,0\nCurrent State: 95:[231], Operations: ['22+80=102', '93+36=129', '102+129=231']\nMoving to Node #0,1,2,0\nCurrent State: 95:[231], Operations: ['22+36=58', '93+58=151', '80+151=231']\nMoving to Node #0,1,1,0\nCurrent State: 95:[2800], Operations: ['22+36=58', '93-58=35', '80*35=2800']\nMoving to Node #0,0,0,0\nCurrent State: 95:[5060], Operations: ['22+93=115', '80-36=44', '115*44=5060']\nMoving to Node #0,2,1,0\nCurrent State: 95:[5814], Operations: ['22+80=102', '93-36=57', '102*57=5814']\nMoving to Node #0,2,2,0\nCurrent State: 95:[6138], Operations: ['22+80=102', '102-36=66', '93*66=6138']\nMoving to Node #0,0,1,0\nCurrent State: 95:[6320], Operations: ['22+93=115', '115-36=79', '80*79=6320']\nMoving to Node #0,1,2,0\nCurrent State: 95:[12080], Operations: ['22+36=58', '93+58=151', '80*151=12080']\nMoving to Node #0,1,0,0\nCurrent State: 95:[12834], Operations: ['22+36=58', '80+58=138', '93*138=12834']\nMoving to Node #0,2,0,0\nCurrent State: 95:[13158], Operations: ['22+80=102', '93+36=129', '102*129=13158']\nMoving to Node #0,0,2,0\nCurrent State: 95:[13340], Operations: ['22+93=115', '80+36=116', '115*116=13340']\nNo solution found.", "role": "assistant" } ]
[ 8, 70, 45, 3 ]
50
[ "8*45=360", "360/3=120", "120-70=50" ]
Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 70-45=25, Resulting Numbers: [8, 3, 25] Generated Node #0,0: 50:[8, 3, 25] Operation: 70-45=25 Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 8-3=5, Resulting Numbers: [25, 5] Generated Node #0,0,0: 50:[25, 5] Operation: 8-3=5 Moving to Node #0,0,0 Current State: 50:[25, 5], Operations: ['70-45=25', '8-3=5'] Exploring Operation: 25/5=5, Resulting Numbers: [5] 5,50 unequal: No Solution Moving to Node #0,0,0 Current State: 50:[25, 5], Operations: ['70-45=25', '8-3=5'] Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,0,0 Current State: 50:[25, 5], Operations: ['70-45=25', '8-3=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 8+3=11, Resulting Numbers: [25, 11] Generated Node #0,0,1: 50:[25, 11] Operation: 8+3=11 Moving to Node #0,0,1 Current State: 50:[25, 11], Operations: ['70-45=25', '8+3=11'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,0,1 Current State: 50:[25, 11], Operations: ['70-45=25', '8+3=11'] Exploring Operation: 25+11=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 8*3=24, Resulting Numbers: [25, 24] Generated Node #0,0,2: 50:[25, 24] Operation: 8*3=24 Moving to Node #0,0,2 Current State: 50:[25, 24], Operations: ['70-45=25', '8*3=24'] Exploring Operation: 25+24=49, Resulting Numbers: [49] 49,50 unequal: No Solution Moving to Node #0,0,2 Current State: 50:[25, 24], Operations: ['70-45=25', '8*3=24'] Exploring Operation: 25-24=1, Resulting Numbers: [1] 1,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 3+25=28, Resulting Numbers: [8, 28] Generated Node #0,0,3: 50:[8, 28] Operation: 3+25=28 Moving to Node #0,0,3 Current State: 50:[8, 28], Operations: ['70-45=25', '3+25=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,0,3 Current State: 50:[8, 28], Operations: ['70-45=25', '3+25=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 25-3=22, Resulting Numbers: [8, 22] Generated Node #0,0,4: 50:[8, 22] Operation: 25-3=22 Moving to Node #0,0,4 Current State: 50:[8, 22], Operations: ['70-45=25', '25-3=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,0,4 Current State: 50:[8, 22], Operations: ['70-45=25', '25-3=22'] Exploring Operation: 8+22=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 25-8=17, Resulting Numbers: [3, 17] Generated Node #0,0,5: 50:[3, 17] Operation: 25-8=17 Moving to Node #0,0,5 Current State: 50:[3, 17], Operations: ['70-45=25', '25-8=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,50 unequal: No Solution Moving to Node #0,0,5 Current State: 50:[3, 17], Operations: ['70-45=25', '25-8=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,0,5 Current State: 50:[3, 17], Operations: ['70-45=25', '25-8=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 8+25=33, Resulting Numbers: [3, 33] Generated Node #0,0,6: 50:[3, 33] Operation: 8+25=33 Moving to Node #0,0,6 Current State: 50:[3, 33], Operations: ['70-45=25', '8+25=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,50 unequal: No Solution Moving to Node #0,0,6 Current State: 50:[3, 33], Operations: ['70-45=25', '8+25=33'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,0,6 Current State: 50:[3, 33], Operations: ['70-45=25', '8+25=33'] Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,0,6 Current State: 50:[3, 33], Operations: ['70-45=25', '8+25=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[8, 3, 25], Operations: ['70-45=25'] Exploring Operation: 3*25=75, Resulting Numbers: [8, 75] Generated Node #0,0,7: 50:[8, 75] Operation: 3*25=75 Moving to Node #0,0,7 Current State: 50:[8, 75], Operations: ['70-45=25', '3*25=75'] Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,50 unequal: No Solution Moving to Node #0,0,7 Current State: 50:[8, 75], Operations: ['70-45=25', '3*25=75'] Exploring Operation: 8+75=83, Resulting Numbers: [83] 83,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 70-8=62, Resulting Numbers: [45, 3, 62] Generated Node #0,1: 50:[45, 3, 62] Operation: 70-8=62 Moving to Node #0,1 Current State: 50:[45, 3, 62], Operations: ['70-8=62'] Exploring Operation: 62-45=17, Resulting Numbers: [3, 17] Generated Node #0,1,0: 50:[3, 17] Operation: 62-45=17 Moving to Node #0,1,0 Current State: 50:[3, 17], Operations: ['70-8=62', '62-45=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,50 unequal: No Solution Moving to Node #0,1,0 Current State: 50:[3, 17], Operations: ['70-8=62', '62-45=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,1,0 Current State: 50:[3, 17], Operations: ['70-8=62', '62-45=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,1 Current State: 50:[45, 3, 62], Operations: ['70-8=62'] Exploring Operation: 45+3=48, Resulting Numbers: [62, 48] Generated Node #0,1,1: 50:[62, 48] Operation: 45+3=48 Moving to Node #0,1,1 Current State: 50:[62, 48], Operations: ['70-8=62', '45+3=48'] Exploring Operation: 62-48=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,1 Current State: 50:[45, 3, 62], Operations: ['70-8=62'] Exploring Operation: 62-3=59, Resulting Numbers: [45, 59] Generated Node #0,1,2: 50:[45, 59] Operation: 62-3=59 Moving to Node #0,1,2 Current State: 50:[45, 59], Operations: ['70-8=62', '62-3=59'] Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,1 Current State: 50:[45, 3, 62], Operations: ['70-8=62'] Exploring Operation: 45/3=15, Resulting Numbers: [62, 15] Generated Node #0,1,3: 50:[62, 15] Operation: 45/3=15 Moving to Node #0,1,3 Current State: 50:[62, 15], Operations: ['70-8=62', '45/3=15'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,50 unequal: No Solution Moving to Node #0,1,3 Current State: 50:[62, 15], Operations: ['70-8=62', '45/3=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,50 unequal: No Solution Moving to Node #0,1 Current State: 50:[45, 3, 62], Operations: ['70-8=62'] Exploring Operation: 45-3=42, Resulting Numbers: [62, 42] Generated Node #0,1,4: 50:[62, 42] Operation: 45-3=42 Moving to Node #0,1,4 Current State: 50:[62, 42], Operations: ['70-8=62', '45-3=42'] Exploring Operation: 62-42=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,1 Current State: 50:[45, 3, 62], Operations: ['70-8=62'] Exploring Operation: 3+62=65, Resulting Numbers: [45, 65] Generated Node #0,1,5: 50:[45, 65] Operation: 3+62=65 Moving to Node #0,1,5 Current State: 50:[45, 65], Operations: ['70-8=62', '3+62=65'] Exploring Operation: 65-45=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 8+45=53, Resulting Numbers: [70, 3, 53] Generated Node #0,2: 50:[70, 3, 53] Operation: 8+45=53 Moving to Node #0,2 Current State: 50:[70, 3, 53], Operations: ['8+45=53'] Exploring Operation: 70-53=17, Resulting Numbers: [3, 17] Generated Node #0,2,0: 50:[3, 17] Operation: 70-53=17 Moving to Node #0,2,0 Current State: 50:[3, 17], Operations: ['8+45=53', '70-53=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,50 unequal: No Solution Moving to Node #0,2,0 Current State: 50:[3, 17], Operations: ['8+45=53', '70-53=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,2,0 Current State: 50:[3, 17], Operations: ['8+45=53', '70-53=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,2 Current State: 50:[70, 3, 53], Operations: ['8+45=53'] Exploring Operation: 70-3=67, Resulting Numbers: [53, 67] Generated Node #0,2,1: 50:[53, 67] Operation: 70-3=67 Moving to Node #0,2,1 Current State: 50:[53, 67], Operations: ['8+45=53', '70-3=67'] Exploring Operation: 67-53=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,2 Current State: 50:[70, 3, 53], Operations: ['8+45=53'] Exploring Operation: 53-3=50, Resulting Numbers: [70, 50] Generated Node #0,2,2: 50:[70, 50] Operation: 53-3=50 Moving to Node #0,2,2 Current State: 50:[70, 50], Operations: ['8+45=53', '53-3=50'] Exploring Operation: 70-50=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,2 Current State: 50:[70, 3, 53], Operations: ['8+45=53'] Exploring Operation: 70+3=73, Resulting Numbers: [53, 73] Generated Node #0,2,3: 50:[53, 73] Operation: 70+3=73 Moving to Node #0,2,3 Current State: 50:[53, 73], Operations: ['8+45=53', '70+3=73'] Exploring Operation: 73-53=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,2 Current State: 50:[70, 3, 53], Operations: ['8+45=53'] Exploring Operation: 3+53=56, Resulting Numbers: [70, 56] Generated Node #0,2,4: 50:[70, 56] Operation: 3+53=56 Moving to Node #0,2,4 Current State: 50:[70, 56], Operations: ['8+45=53', '3+53=56'] Exploring Operation: 70-56=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 70-3=67, Resulting Numbers: [8, 45, 67] Generated Node #0,3: 50:[8, 45, 67] Operation: 70-3=67 Moving to Node #0,3 Current State: 50:[8, 45, 67], Operations: ['70-3=67'] Exploring Operation: 67-45=22, Resulting Numbers: [8, 22] Generated Node #0,3,0: 50:[8, 22] Operation: 67-45=22 Moving to Node #0,3,0 Current State: 50:[8, 22], Operations: ['70-3=67', '67-45=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,3,0 Current State: 50:[8, 22], Operations: ['70-3=67', '67-45=22'] Exploring Operation: 8+22=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,3 Current State: 50:[8, 45, 67], Operations: ['70-3=67'] Exploring Operation: 67-8=59, Resulting Numbers: [45, 59] Generated Node #0,3,1: 50:[45, 59] Operation: 67-8=59 Moving to Node #0,3,1 Current State: 50:[45, 59], Operations: ['70-3=67', '67-8=59'] Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,3 Current State: 50:[8, 45, 67], Operations: ['70-3=67'] Exploring Operation: 8+45=53, Resulting Numbers: [67, 53] Generated Node #0,3,2: 50:[67, 53] Operation: 8+45=53 Moving to Node #0,3,2 Current State: 50:[67, 53], Operations: ['70-3=67', '8+45=53'] Exploring Operation: 67-53=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,3 Current State: 50:[8, 45, 67], Operations: ['70-3=67'] Exploring Operation: 45-8=37, Resulting Numbers: [67, 37] Generated Node #0,3,3: 50:[67, 37] Operation: 45-8=37 Moving to Node #0,3,3 Current State: 50:[67, 37], Operations: ['70-3=67', '45-8=37'] Exploring Operation: 67-37=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,3 Current State: 50:[8, 45, 67], Operations: ['70-3=67'] Exploring Operation: 8+67=75, Resulting Numbers: [45, 75] Generated Node #0,3,4: 50:[45, 75] Operation: 8+67=75 Moving to Node #0,3,4 Current State: 50:[45, 75], Operations: ['70-3=67', '8+67=75'] Exploring Operation: 75-45=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 45+3=48, Resulting Numbers: [8, 70, 48] Generated Node #0,4: 50:[8, 70, 48] Operation: 45+3=48 Moving to Node #0,4 Current State: 50:[8, 70, 48], Operations: ['45+3=48'] Exploring Operation: 70-48=22, Resulting Numbers: [8, 22] Generated Node #0,4,0: 50:[8, 22] Operation: 70-48=22 Moving to Node #0,4,0 Current State: 50:[8, 22], Operations: ['45+3=48', '70-48=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,4,0 Current State: 50:[8, 22], Operations: ['45+3=48', '70-48=22'] Exploring Operation: 8+22=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,4 Current State: 50:[8, 70, 48], Operations: ['45+3=48'] Exploring Operation: 70-8=62, Resulting Numbers: [48, 62] Generated Node #0,4,1: 50:[48, 62] Operation: 70-8=62 Moving to Node #0,4,1 Current State: 50:[48, 62], Operations: ['45+3=48', '70-8=62'] Exploring Operation: 62-48=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,4 Current State: 50:[8, 70, 48], Operations: ['45+3=48'] Exploring Operation: 48/8=6, Resulting Numbers: [70, 6] Generated Node #0,4,2: 50:[70, 6] Operation: 48/8=6 Moving to Node #0,4,2 Current State: 50:[70, 6], Operations: ['45+3=48', '48/8=6'] Exploring Operation: 70-6=64, Resulting Numbers: [64] 64,50 unequal: No Solution Moving to Node #0,4,2 Current State: 50:[70, 6], Operations: ['45+3=48', '48/8=6'] Exploring Operation: 70+6=76, Resulting Numbers: [76] 76,50 unequal: No Solution Moving to Node #0,4 Current State: 50:[8, 70, 48], Operations: ['45+3=48'] Exploring Operation: 8+48=56, Resulting Numbers: [70, 56] Generated Node #0,4,3: 50:[70, 56] Operation: 8+48=56 Moving to Node #0,4,3 Current State: 50:[70, 56], Operations: ['45+3=48', '8+48=56'] Exploring Operation: 70-56=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,4 Current State: 50:[8, 70, 48], Operations: ['45+3=48'] Exploring Operation: 8+70=78, Resulting Numbers: [48, 78] Generated Node #0,4,4: 50:[48, 78] Operation: 8+70=78 Moving to Node #0,4,4 Current State: 50:[48, 78], Operations: ['45+3=48', '8+70=78'] Exploring Operation: 78-48=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,4 Current State: 50:[8, 70, 48], Operations: ['45+3=48'] Exploring Operation: 48-8=40, Resulting Numbers: [70, 40] Generated Node #0,4,5: 50:[70, 40] Operation: 48-8=40 Moving to Node #0,4,5 Current State: 50:[70, 40], Operations: ['45+3=48', '48-8=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [70, 45, 5] Generated Node #0,5: 50:[70, 45, 5] Operation: 8-3=5 Moving to Node #0,5 Current State: 50:[70, 45, 5], Operations: ['8-3=5'] Exploring Operation: 70-45=25, Resulting Numbers: [5, 25] Generated Node #0,5,0: 50:[5, 25] Operation: 70-45=25 Moving to Node #0,5,0 Current State: 50:[5, 25], Operations: ['8-3=5', '70-45=25'] Exploring Operation: 25/5=5, Resulting Numbers: [5] 5,50 unequal: No Solution Moving to Node #0,5,0 Current State: 50:[5, 25], Operations: ['8-3=5', '70-45=25'] Exploring Operation: 5+25=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,5,0 Current State: 50:[5, 25], Operations: ['8-3=5', '70-45=25'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,5 Current State: 50:[70, 45, 5], Operations: ['8-3=5'] Exploring Operation: 70/5=14, Resulting Numbers: [45, 14] Generated Node #0,5,1: 50:[45, 14] Operation: 70/5=14 Moving to Node #0,5,1 Current State: 50:[45, 14], Operations: ['8-3=5', '70/5=14'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,50 unequal: No Solution Moving to Node #0,5,1 Current State: 50:[45, 14], Operations: ['8-3=5', '70/5=14'] Exploring Operation: 45+14=59, Resulting Numbers: [59] 59,50 unequal: No Solution Moving to Node #0,5 Current State: 50:[70, 45, 5], Operations: ['8-3=5'] Exploring Operation: 70-5=65, Resulting Numbers: [45, 65] Generated Node #0,5,2: 50:[45, 65] Operation: 70-5=65 Moving to Node #0,5,2 Current State: 50:[45, 65], Operations: ['8-3=5', '70-5=65'] Exploring Operation: 65-45=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,5 Current State: 50:[70, 45, 5], Operations: ['8-3=5'] Exploring Operation: 45+5=50, Resulting Numbers: [70, 50] Generated Node #0,5,3: 50:[70, 50] Operation: 45+5=50 Moving to Node #0,5,3 Current State: 50:[70, 50], Operations: ['8-3=5', '45+5=50'] Exploring Operation: 70-50=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,5 Current State: 50:[70, 45, 5], Operations: ['8-3=5'] Exploring Operation: 45/5=9, Resulting Numbers: [70, 9] Generated Node #0,5,4: 50:[70, 9] Operation: 45/5=9 Moving to Node #0,5,4 Current State: 50:[70, 9], Operations: ['8-3=5', '45/5=9'] Exploring Operation: 70-9=61, Resulting Numbers: [61] 61,50 unequal: No Solution Moving to Node #0,5,4 Current State: 50:[70, 9], Operations: ['8-3=5', '45/5=9'] Exploring Operation: 70+9=79, Resulting Numbers: [79] 79,50 unequal: No Solution Moving to Node #0,5 Current State: 50:[70, 45, 5], Operations: ['8-3=5'] Exploring Operation: 70+5=75, Resulting Numbers: [45, 75] Generated Node #0,5,5: 50:[45, 75] Operation: 70+5=75 Moving to Node #0,5,5 Current State: 50:[45, 75], Operations: ['8-3=5', '70+5=75'] Exploring Operation: 75-45=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,5 Current State: 50:[70, 45, 5], Operations: ['8-3=5'] Exploring Operation: 45-5=40, Resulting Numbers: [70, 40] Generated Node #0,5,6: 50:[70, 40] Operation: 45-5=40 Moving to Node #0,5,6 Current State: 50:[70, 40], Operations: ['8-3=5', '45-5=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 8+3=11, Resulting Numbers: [70, 45, 11] Generated Node #0,6: 50:[70, 45, 11] Operation: 8+3=11 Moving to Node #0,6 Current State: 50:[70, 45, 11], Operations: ['8+3=11'] Exploring Operation: 70-45=25, Resulting Numbers: [11, 25] Generated Node #0,6,0: 50:[11, 25] Operation: 70-45=25 Moving to Node #0,6,0 Current State: 50:[11, 25], Operations: ['8+3=11', '70-45=25'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,6,0 Current State: 50:[11, 25], Operations: ['8+3=11', '70-45=25'] Exploring Operation: 11+25=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,6 Current State: 50:[70, 45, 11], Operations: ['8+3=11'] Exploring Operation: 70-11=59, Resulting Numbers: [45, 59] Generated Node #0,6,1: 50:[45, 59] Operation: 70-11=59 Moving to Node #0,6,1 Current State: 50:[45, 59], Operations: ['8+3=11', '70-11=59'] Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,6 Current State: 50:[70, 45, 11], Operations: ['8+3=11'] Exploring Operation: 45+11=56, Resulting Numbers: [70, 56] Generated Node #0,6,2: 50:[70, 56] Operation: 45+11=56 Moving to Node #0,6,2 Current State: 50:[70, 56], Operations: ['8+3=11', '45+11=56'] Exploring Operation: 70-56=14, Resulting Numbers: [14] 14,50 unequal: No Solution Moving to Node #0,6 Current State: 50:[70, 45, 11], Operations: ['8+3=11'] Exploring Operation: 45-11=34, Resulting Numbers: [70, 34] Generated Node #0,6,3: 50:[70, 34] Operation: 45-11=34 Moving to Node #0,6,3 Current State: 50:[70, 34], Operations: ['8+3=11', '45-11=34'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,6 Current State: 50:[70, 45, 11], Operations: ['8+3=11'] Exploring Operation: 70+11=81, Resulting Numbers: [45, 81] Generated Node #0,6,4: 50:[45, 81] Operation: 70+11=81 Moving to Node #0,6,4 Current State: 50:[45, 81], Operations: ['8+3=11', '70+11=81'] Exploring Operation: 81-45=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 8*3=24, Resulting Numbers: [70, 45, 24] Generated Node #0,7: 50:[70, 45, 24] Operation: 8*3=24 Moving to Node #0,7 Current State: 50:[70, 45, 24], Operations: ['8*3=24'] Exploring Operation: 70-45=25, Resulting Numbers: [24, 25] Generated Node #0,7,0: 50:[24, 25] Operation: 70-45=25 Moving to Node #0,7,0 Current State: 50:[24, 25], Operations: ['8*3=24', '70-45=25'] Exploring Operation: 24+25=49, Resulting Numbers: [49] 49,50 unequal: No Solution Moving to Node #0,7,0 Current State: 50:[24, 25], Operations: ['8*3=24', '70-45=25'] Exploring Operation: 25-24=1, Resulting Numbers: [1] 1,50 unequal: No Solution Moving to Node #0,7 Current State: 50:[70, 45, 24], Operations: ['8*3=24'] Exploring Operation: 70-24=46, Resulting Numbers: [45, 46] Generated Node #0,7,1: 50:[45, 46] Operation: 70-24=46 Moving to Node #0,7,1 Current State: 50:[45, 46], Operations: ['8*3=24', '70-24=46'] Exploring Operation: 46-45=1, Resulting Numbers: [1] 1,50 unequal: No Solution Moving to Node #0,7,1 Current State: 50:[45, 46], Operations: ['8*3=24', '70-24=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,50 unequal: No Solution Moving to Node #0,7 Current State: 50:[70, 45, 24], Operations: ['8*3=24'] Exploring Operation: 45-24=21, Resulting Numbers: [70, 21] Generated Node #0,7,2: 50:[70, 21] Operation: 45-24=21 Moving to Node #0,7,2 Current State: 50:[70, 21], Operations: ['8*3=24', '45-24=21'] Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,50 unequal: No Solution Moving to Node #0,7,2 Current State: 50:[70, 21], Operations: ['8*3=24', '45-24=21'] Exploring Operation: 70+21=91, Resulting Numbers: [91] 91,50 unequal: No Solution Moving to Node #0,7 Current State: 50:[70, 45, 24], Operations: ['8*3=24'] Exploring Operation: 45+24=69, Resulting Numbers: [70, 69] Generated Node #0,7,3: 50:[70, 69] Operation: 45+24=69 Moving to Node #0,7,3 Current State: 50:[70, 69], Operations: ['8*3=24', '45+24=69'] Exploring Operation: 70-69=1, Resulting Numbers: [1] 1,50 unequal: No Solution Moving to Node #0,7 Current State: 50:[70, 45, 24], Operations: ['8*3=24'] Exploring Operation: 70+24=94, Resulting Numbers: [45, 94] Generated Node #0,7,4: 50:[45, 94] Operation: 70+24=94 Moving to Node #0,7,4 Current State: 50:[45, 94], Operations: ['8*3=24', '70+24=94'] Exploring Operation: 94-45=49, Resulting Numbers: [49] 49,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [8, 70, 15] Generated Node #0,8: 50:[8, 70, 15] Operation: 45/3=15 Moving to Node #0,8 Current State: 50:[8, 70, 15], Operations: ['45/3=15'] Exploring Operation: 70-15=55, Resulting Numbers: [8, 55] Generated Node #0,8,0: 50:[8, 55] Operation: 70-15=55 Moving to Node #0,8,0 Current State: 50:[8, 55], Operations: ['45/3=15', '70-15=55'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,50 unequal: No Solution Moving to Node #0,8,0 Current State: 50:[8, 55], Operations: ['45/3=15', '70-15=55'] Exploring Operation: 8+55=63, Resulting Numbers: [63] 63,50 unequal: No Solution Moving to Node #0,8 Current State: 50:[8, 70, 15], Operations: ['45/3=15'] Exploring Operation: 70-8=62, Resulting Numbers: [15, 62] Generated Node #0,8,1: 50:[15, 62] Operation: 70-8=62 Moving to Node #0,8,1 Current State: 50:[15, 62], Operations: ['45/3=15', '70-8=62'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,50 unequal: No Solution Moving to Node #0,8,1 Current State: 50:[15, 62], Operations: ['45/3=15', '70-8=62'] Exploring Operation: 15+62=77, Resulting Numbers: [77] 77,50 unequal: No Solution Moving to Node #0,8 Current State: 50:[8, 70, 15], Operations: ['45/3=15'] Exploring Operation: 8+15=23, Resulting Numbers: [70, 23] Generated Node #0,8,2: 50:[70, 23] Operation: 8+15=23 Moving to Node #0,8,2 Current State: 50:[70, 23], Operations: ['45/3=15', '8+15=23'] Exploring Operation: 70-23=47, Resulting Numbers: [47] 47,50 unequal: No Solution Moving to Node #0,8,2 Current State: 50:[70, 23], Operations: ['45/3=15', '8+15=23'] Exploring Operation: 70+23=93, Resulting Numbers: [93] 93,50 unequal: No Solution Moving to Node #0,8 Current State: 50:[8, 70, 15], Operations: ['45/3=15'] Exploring Operation: 15-8=7, Resulting Numbers: [70, 7] Generated Node #0,8,3: 50:[70, 7] Operation: 15-8=7 Moving to Node #0,8,3 Current State: 50:[70, 7], Operations: ['45/3=15', '15-8=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,50 unequal: No Solution Moving to Node #0,8,3 Current State: 50:[70, 7], Operations: ['45/3=15', '15-8=7'] Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,50 unequal: No Solution Moving to Node #0,8,3 Current State: 50:[70, 7], Operations: ['45/3=15', '15-8=7'] Exploring Operation: 70+7=77, Resulting Numbers: [77] 77,50 unequal: No Solution Moving to Node #0,8 Current State: 50:[8, 70, 15], Operations: ['45/3=15'] Exploring Operation: 8+70=78, Resulting Numbers: [15, 78] Generated Node #0,8,4: 50:[15, 78] Operation: 8+70=78 Moving to Node #0,8,4 Current State: 50:[15, 78], Operations: ['45/3=15', '8+70=78'] Exploring Operation: 78-15=63, Resulting Numbers: [63] 63,50 unequal: No Solution Moving to Node #0,8,4 Current State: 50:[15, 78], Operations: ['45/3=15', '8+70=78'] Exploring Operation: 15+78=93, Resulting Numbers: [93] 93,50 unequal: No Solution Moving to Node #0,8 Current State: 50:[8, 70, 15], Operations: ['45/3=15'] Exploring Operation: 70+15=85, Resulting Numbers: [8, 85] Generated Node #0,8,5: 50:[8, 85] Operation: 70+15=85 Moving to Node #0,8,5 Current State: 50:[8, 85], Operations: ['45/3=15', '70+15=85'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,50 unequal: No Solution Moving to Node #0,8,5 Current State: 50:[8, 85], Operations: ['45/3=15', '70+15=85'] Exploring Operation: 8+85=93, Resulting Numbers: [93] 93,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 70+3=73, Resulting Numbers: [8, 45, 73] Generated Node #0,9: 50:[8, 45, 73] Operation: 70+3=73 Moving to Node #0,9 Current State: 50:[8, 45, 73], Operations: ['70+3=73'] Exploring Operation: 73-45=28, Resulting Numbers: [8, 28] Generated Node #0,9,0: 50:[8, 28] Operation: 73-45=28 Moving to Node #0,9,0 Current State: 50:[8, 28], Operations: ['70+3=73', '73-45=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,9,0 Current State: 50:[8, 28], Operations: ['70+3=73', '73-45=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,9 Current State: 50:[8, 45, 73], Operations: ['70+3=73'] Exploring Operation: 73-8=65, Resulting Numbers: [45, 65] Generated Node #0,9,1: 50:[45, 65] Operation: 73-8=65 Moving to Node #0,9,1 Current State: 50:[45, 65], Operations: ['70+3=73', '73-8=65'] Exploring Operation: 65-45=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,9 Current State: 50:[8, 45, 73], Operations: ['70+3=73'] Exploring Operation: 8+45=53, Resulting Numbers: [73, 53] Generated Node #0,9,2: 50:[73, 53] Operation: 8+45=53 Moving to Node #0,9,2 Current State: 50:[73, 53], Operations: ['70+3=73', '8+45=53'] Exploring Operation: 73-53=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,9 Current State: 50:[8, 45, 73], Operations: ['70+3=73'] Exploring Operation: 45-8=37, Resulting Numbers: [73, 37] Generated Node #0,9,3: 50:[73, 37] Operation: 45-8=37 Moving to Node #0,9,3 Current State: 50:[73, 37], Operations: ['70+3=73', '45-8=37'] Exploring Operation: 73-37=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,9 Current State: 50:[8, 45, 73], Operations: ['70+3=73'] Exploring Operation: 8+73=81, Resulting Numbers: [45, 81] Generated Node #0,9,4: 50:[45, 81] Operation: 8+73=81 Moving to Node #0,9,4 Current State: 50:[45, 81], Operations: ['70+3=73', '8+73=81'] Exploring Operation: 81-45=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 45-3=42, Resulting Numbers: [8, 70, 42] Generated Node #0,10: 50:[8, 70, 42] Operation: 45-3=42 Moving to Node #0,10 Current State: 50:[8, 70, 42], Operations: ['45-3=42'] Exploring Operation: 70-42=28, Resulting Numbers: [8, 28] Generated Node #0,10,0: 50:[8, 28] Operation: 70-42=28 Moving to Node #0,10,0 Current State: 50:[8, 28], Operations: ['45-3=42', '70-42=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,10,0 Current State: 50:[8, 28], Operations: ['45-3=42', '70-42=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,10 Current State: 50:[8, 70, 42], Operations: ['45-3=42'] Exploring Operation: 70-8=62, Resulting Numbers: [42, 62] Generated Node #0,10,1: 50:[42, 62] Operation: 70-8=62 Moving to Node #0,10,1 Current State: 50:[42, 62], Operations: ['45-3=42', '70-8=62'] Exploring Operation: 62-42=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,10 Current State: 50:[8, 70, 42], Operations: ['45-3=42'] Exploring Operation: 8+42=50, Resulting Numbers: [70, 50] Generated Node #0,10,2: 50:[70, 50] Operation: 8+42=50 Moving to Node #0,10,2 Current State: 50:[70, 50], Operations: ['45-3=42', '8+42=50'] Exploring Operation: 70-50=20, Resulting Numbers: [20] 20,50 unequal: No Solution Moving to Node #0,10 Current State: 50:[8, 70, 42], Operations: ['45-3=42'] Exploring Operation: 42-8=34, Resulting Numbers: [70, 34] Generated Node #0,10,3: 50:[70, 34] Operation: 42-8=34 Moving to Node #0,10,3 Current State: 50:[70, 34], Operations: ['45-3=42', '42-8=34'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,10 Current State: 50:[8, 70, 42], Operations: ['45-3=42'] Exploring Operation: 8+70=78, Resulting Numbers: [42, 78] Generated Node #0,10,4: 50:[42, 78] Operation: 8+70=78 Moving to Node #0,10,4 Current State: 50:[42, 78], Operations: ['45-3=42', '8+70=78'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 45-8=37, Resulting Numbers: [70, 3, 37] Generated Node #0,11: 50:[70, 3, 37] Operation: 45-8=37 Moving to Node #0,11 Current State: 50:[70, 3, 37], Operations: ['45-8=37'] Exploring Operation: 70-37=33, Resulting Numbers: [3, 33] Generated Node #0,11,0: 50:[3, 33] Operation: 70-37=33 Moving to Node #0,11,0 Current State: 50:[3, 33], Operations: ['45-8=37', '70-37=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,50 unequal: No Solution Moving to Node #0,11,0 Current State: 50:[3, 33], Operations: ['45-8=37', '70-37=33'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,11,0 Current State: 50:[3, 33], Operations: ['45-8=37', '70-37=33'] Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,11,0 Current State: 50:[3, 33], Operations: ['45-8=37', '70-37=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,50 unequal: No Solution Moving to Node #0,11 Current State: 50:[70, 3, 37], Operations: ['45-8=37'] Exploring Operation: 70-3=67, Resulting Numbers: [37, 67] Generated Node #0,11,1: 50:[37, 67] Operation: 70-3=67 Moving to Node #0,11,1 Current State: 50:[37, 67], Operations: ['45-8=37', '70-3=67'] Exploring Operation: 67-37=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,11 Current State: 50:[70, 3, 37], Operations: ['45-8=37'] Exploring Operation: 37-3=34, Resulting Numbers: [70, 34] Generated Node #0,11,2: 50:[70, 34] Operation: 37-3=34 Moving to Node #0,11,2 Current State: 50:[70, 34], Operations: ['45-8=37', '37-3=34'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,11 Current State: 50:[70, 3, 37], Operations: ['45-8=37'] Exploring Operation: 3+37=40, Resulting Numbers: [70, 40] Generated Node #0,11,3: 50:[70, 40] Operation: 3+37=40 Moving to Node #0,11,3 Current State: 50:[70, 40], Operations: ['45-8=37', '3+37=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,11 Current State: 50:[70, 3, 37], Operations: ['45-8=37'] Exploring Operation: 70+3=73, Resulting Numbers: [37, 73] Generated Node #0,11,4: 50:[37, 73] Operation: 70+3=73 Moving to Node #0,11,4 Current State: 50:[37, 73], Operations: ['45-8=37', '70+3=73'] Exploring Operation: 73-37=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0 Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 8+70=78, Resulting Numbers: [45, 3, 78] Generated Node #0,12: 50:[45, 3, 78] Operation: 8+70=78 Moving to Node #0,12 Current State: 50:[45, 3, 78], Operations: ['8+70=78'] Exploring Operation: 78/3=26, Resulting Numbers: [45, 26] Generated Node #0,12,0: 50:[45, 26] Operation: 78/3=26 Moving to Node #0,12,0 Current State: 50:[45, 26], Operations: ['8+70=78', '78/3=26'] Exploring Operation: 45-26=19, Resulting Numbers: [19] 19,50 unequal: No Solution Moving to Node #0,12,0 Current State: 50:[45, 26], Operations: ['8+70=78', '78/3=26'] Exploring Operation: 45+26=71, Resulting Numbers: [71] 71,50 unequal: No Solution Moving to Node #0,12 Current State: 50:[45, 3, 78], Operations: ['8+70=78'] Exploring Operation: 78-45=33, Resulting Numbers: [3, 33] Generated Node #0,12,1: 50:[3, 33] Operation: 78-45=33 Moving to Node #0,12,1 Current State: 50:[3, 33], Operations: ['8+70=78', '78-45=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,50 unequal: No Solution Moving to Node #0,12,1 Current State: 50:[3, 33], Operations: ['8+70=78', '78-45=33'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,12,1 Current State: 50:[3, 33], Operations: ['8+70=78', '78-45=33'] Exploring Operation: 3+33=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,12,1 Current State: 50:[3, 33], Operations: ['8+70=78', '78-45=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,50 unequal: No Solution Moving to Node #0,12 Current State: 50:[45, 3, 78], Operations: ['8+70=78'] Exploring Operation: 45+3=48, Resulting Numbers: [78, 48] Generated Node #0,12,2: 50:[78, 48] Operation: 45+3=48 Moving to Node #0,12,2 Current State: 50:[78, 48], Operations: ['8+70=78', '45+3=48'] Exploring Operation: 78-48=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,12 Current State: 50:[45, 3, 78], Operations: ['8+70=78'] Exploring Operation: 78-3=75, Resulting Numbers: [45, 75] Generated Node #0,12,3: 50:[45, 75] Operation: 78-3=75 Moving to Node #0,12,3 Current State: 50:[45, 75], Operations: ['8+70=78', '78-3=75'] Exploring Operation: 75-45=30, Resulting Numbers: [30] 30,50 unequal: No Solution Moving to Node #0,12 Current State: 50:[45, 3, 78], Operations: ['8+70=78'] Exploring Operation: 45/3=15, Resulting Numbers: [78, 15] Generated Node #0,12,4: 50:[78, 15] Operation: 45/3=15 Moving to Node #0,12,4 Current State: 50:[78, 15], Operations: ['8+70=78', '45/3=15'] Exploring Operation: 78-15=63, Resulting Numbers: [63] 63,50 unequal: No Solution Moving to Node #0,12,4 Current State: 50:[78, 15], Operations: ['8+70=78', '45/3=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,50 unequal: No Solution Moving to Node #0,12 Current State: 50:[45, 3, 78], Operations: ['8+70=78'] Exploring Operation: 45-3=42, Resulting Numbers: [78, 42] Generated Node #0,12,5: 50:[78, 42] Operation: 45-3=42 Moving to Node #0,12,5 Current State: 50:[78, 42], Operations: ['8+70=78', '45-3=42'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,50 unequal: No Solution Moving to Node #0,12 Current State: 50:[45, 3, 78], Operations: ['8+70=78'] Exploring Operation: 3+78=81, Resulting Numbers: [45, 81] Generated Node #0,12,6: 50:[45, 81] Operation: 3+78=81 Moving to Node #0,12,6 Current State: 50:[45, 81], Operations: ['8+70=78', '3+78=81'] Exploring Operation: 81-45=36, Resulting Numbers: [36] 36,50 unequal: No Solution
0
dfs
Current State: 50:[8, 70, 45, 3], Operations: [] Exploring Operation: 8*45=360, Resulting Numbers: [70, 3, 360] Generated Node #2: [70, 3, 360] from Operation: 8*45=360 Current State: 50:[70, 3, 360], Operations: ['8*45=360'] Exploring Operation: 360/3=120, Resulting Numbers: [70, 120] Generated Node #3: [70, 120] from Operation: 360/3=120 Current State: 50:[70, 120], Operations: ['8*45=360', '360/3=120'] Exploring Operation: 120-70=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
mult_heuristic
[ { "content": "Make 50 with the numbers [8, 70, 45, 3] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 70-45=25, Resulting Numbers: [8, 3, 25]\nGenerated Node #0,0: 50:[8, 3, 25] Operation: 70-45=25\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 8-3=5, Resulting Numbers: [25, 5]\nGenerated Node #0,0,0: 50:[25, 5] Operation: 8-3=5\nMoving to Node #0,0,0\nCurrent State: 50:[25, 5], Operations: ['70-45=25', '8-3=5']\nExploring Operation: 25/5=5, Resulting Numbers: [5]\n5,50 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 50:[25, 5], Operations: ['70-45=25', '8-3=5']\nExploring Operation: 25+5=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 50:[25, 5], Operations: ['70-45=25', '8-3=5']\nExploring Operation: 25-5=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 8+3=11, Resulting Numbers: [25, 11]\nGenerated Node #0,0,1: 50:[25, 11] Operation: 8+3=11\nMoving to Node #0,0,1\nCurrent State: 50:[25, 11], Operations: ['70-45=25', '8+3=11']\nExploring Operation: 25-11=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 50:[25, 11], Operations: ['70-45=25', '8+3=11']\nExploring Operation: 25+11=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 8*3=24, Resulting Numbers: [25, 24]\nGenerated Node #0,0,2: 50:[25, 24] Operation: 8*3=24\nMoving to Node #0,0,2\nCurrent State: 50:[25, 24], Operations: ['70-45=25', '8*3=24']\nExploring Operation: 25+24=49, Resulting Numbers: [49]\n49,50 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 50:[25, 24], Operations: ['70-45=25', '8*3=24']\nExploring Operation: 25-24=1, Resulting Numbers: [1]\n1,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 3+25=28, Resulting Numbers: [8, 28]\nGenerated Node #0,0,3: 50:[8, 28] Operation: 3+25=28\nMoving to Node #0,0,3\nCurrent State: 50:[8, 28], Operations: ['70-45=25', '3+25=28']\nExploring Operation: 28-8=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 50:[8, 28], Operations: ['70-45=25', '3+25=28']\nExploring Operation: 8+28=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 25-3=22, Resulting Numbers: [8, 22]\nGenerated Node #0,0,4: 50:[8, 22] Operation: 25-3=22\nMoving to Node #0,0,4\nCurrent State: 50:[8, 22], Operations: ['70-45=25', '25-3=22']\nExploring Operation: 22-8=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 50:[8, 22], Operations: ['70-45=25', '25-3=22']\nExploring Operation: 8+22=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 25-8=17, Resulting Numbers: [3, 17]\nGenerated Node #0,0,5: 50:[3, 17] Operation: 25-8=17\nMoving to Node #0,0,5\nCurrent State: 50:[3, 17], Operations: ['70-45=25', '25-8=17']\nExploring Operation: 3*17=51, Resulting Numbers: [51]\n51,50 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 50:[3, 17], Operations: ['70-45=25', '25-8=17']\nExploring Operation: 17-3=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 50:[3, 17], Operations: ['70-45=25', '25-8=17']\nExploring Operation: 3+17=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 8+25=33, Resulting Numbers: [3, 33]\nGenerated Node #0,0,6: 50:[3, 33] Operation: 8+25=33\nMoving to Node #0,0,6\nCurrent State: 50:[3, 33], Operations: ['70-45=25', '8+25=33']\nExploring Operation: 33/3=11, Resulting Numbers: [11]\n11,50 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 50:[3, 33], Operations: ['70-45=25', '8+25=33']\nExploring Operation: 33-3=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 50:[3, 33], Operations: ['70-45=25', '8+25=33']\nExploring Operation: 3+33=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 50:[3, 33], Operations: ['70-45=25', '8+25=33']\nExploring Operation: 3*33=99, Resulting Numbers: [99]\n99,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[8, 3, 25], Operations: ['70-45=25']\nExploring Operation: 3*25=75, Resulting Numbers: [8, 75]\nGenerated Node #0,0,7: 50:[8, 75] Operation: 3*25=75\nMoving to Node #0,0,7\nCurrent State: 50:[8, 75], Operations: ['70-45=25', '3*25=75']\nExploring Operation: 75-8=67, Resulting Numbers: [67]\n67,50 unequal: No Solution\nMoving to Node #0,0,7\nCurrent State: 50:[8, 75], Operations: ['70-45=25', '3*25=75']\nExploring Operation: 8+75=83, Resulting Numbers: [83]\n83,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 70-8=62, Resulting Numbers: [45, 3, 62]\nGenerated Node #0,1: 50:[45, 3, 62] Operation: 70-8=62\nMoving to Node #0,1\nCurrent State: 50:[45, 3, 62], Operations: ['70-8=62']\nExploring Operation: 62-45=17, Resulting Numbers: [3, 17]\nGenerated Node #0,1,0: 50:[3, 17] Operation: 62-45=17\nMoving to Node #0,1,0\nCurrent State: 50:[3, 17], Operations: ['70-8=62', '62-45=17']\nExploring Operation: 3*17=51, Resulting Numbers: [51]\n51,50 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 50:[3, 17], Operations: ['70-8=62', '62-45=17']\nExploring Operation: 17-3=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 50:[3, 17], Operations: ['70-8=62', '62-45=17']\nExploring Operation: 3+17=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 50:[45, 3, 62], Operations: ['70-8=62']\nExploring Operation: 45+3=48, Resulting Numbers: [62, 48]\nGenerated Node #0,1,1: 50:[62, 48] Operation: 45+3=48\nMoving to Node #0,1,1\nCurrent State: 50:[62, 48], Operations: ['70-8=62', '45+3=48']\nExploring Operation: 62-48=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 50:[45, 3, 62], Operations: ['70-8=62']\nExploring Operation: 62-3=59, Resulting Numbers: [45, 59]\nGenerated Node #0,1,2: 50:[45, 59] Operation: 62-3=59\nMoving to Node #0,1,2\nCurrent State: 50:[45, 59], Operations: ['70-8=62', '62-3=59']\nExploring Operation: 59-45=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 50:[45, 3, 62], Operations: ['70-8=62']\nExploring Operation: 45/3=15, Resulting Numbers: [62, 15]\nGenerated Node #0,1,3: 50:[62, 15] Operation: 45/3=15\nMoving to Node #0,1,3\nCurrent State: 50:[62, 15], Operations: ['70-8=62', '45/3=15']\nExploring Operation: 62-15=47, Resulting Numbers: [47]\n47,50 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 50:[62, 15], Operations: ['70-8=62', '45/3=15']\nExploring Operation: 62+15=77, Resulting Numbers: [77]\n77,50 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 50:[45, 3, 62], Operations: ['70-8=62']\nExploring Operation: 45-3=42, Resulting Numbers: [62, 42]\nGenerated Node #0,1,4: 50:[62, 42] Operation: 45-3=42\nMoving to Node #0,1,4\nCurrent State: 50:[62, 42], Operations: ['70-8=62', '45-3=42']\nExploring Operation: 62-42=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 50:[45, 3, 62], Operations: ['70-8=62']\nExploring Operation: 3+62=65, Resulting Numbers: [45, 65]\nGenerated Node #0,1,5: 50:[45, 65] Operation: 3+62=65\nMoving to Node #0,1,5\nCurrent State: 50:[45, 65], Operations: ['70-8=62', '3+62=65']\nExploring Operation: 65-45=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 8+45=53, Resulting Numbers: [70, 3, 53]\nGenerated Node #0,2: 50:[70, 3, 53] Operation: 8+45=53\nMoving to Node #0,2\nCurrent State: 50:[70, 3, 53], Operations: ['8+45=53']\nExploring Operation: 70-53=17, Resulting Numbers: [3, 17]\nGenerated Node #0,2,0: 50:[3, 17] Operation: 70-53=17\nMoving to Node #0,2,0\nCurrent State: 50:[3, 17], Operations: ['8+45=53', '70-53=17']\nExploring Operation: 3*17=51, Resulting Numbers: [51]\n51,50 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 50:[3, 17], Operations: ['8+45=53', '70-53=17']\nExploring Operation: 17-3=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 50:[3, 17], Operations: ['8+45=53', '70-53=17']\nExploring Operation: 3+17=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 50:[70, 3, 53], Operations: ['8+45=53']\nExploring Operation: 70-3=67, Resulting Numbers: [53, 67]\nGenerated Node #0,2,1: 50:[53, 67] Operation: 70-3=67\nMoving to Node #0,2,1\nCurrent State: 50:[53, 67], Operations: ['8+45=53', '70-3=67']\nExploring Operation: 67-53=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 50:[70, 3, 53], Operations: ['8+45=53']\nExploring Operation: 53-3=50, Resulting Numbers: [70, 50]\nGenerated Node #0,2,2: 50:[70, 50] Operation: 53-3=50\nMoving to Node #0,2,2\nCurrent State: 50:[70, 50], Operations: ['8+45=53', '53-3=50']\nExploring Operation: 70-50=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 50:[70, 3, 53], Operations: ['8+45=53']\nExploring Operation: 70+3=73, Resulting Numbers: [53, 73]\nGenerated Node #0,2,3: 50:[53, 73] Operation: 70+3=73\nMoving to Node #0,2,3\nCurrent State: 50:[53, 73], Operations: ['8+45=53', '70+3=73']\nExploring Operation: 73-53=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 50:[70, 3, 53], Operations: ['8+45=53']\nExploring Operation: 3+53=56, Resulting Numbers: [70, 56]\nGenerated Node #0,2,4: 50:[70, 56] Operation: 3+53=56\nMoving to Node #0,2,4\nCurrent State: 50:[70, 56], Operations: ['8+45=53', '3+53=56']\nExploring Operation: 70-56=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 70-3=67, Resulting Numbers: [8, 45, 67]\nGenerated Node #0,3: 50:[8, 45, 67] Operation: 70-3=67\nMoving to Node #0,3\nCurrent State: 50:[8, 45, 67], Operations: ['70-3=67']\nExploring Operation: 67-45=22, Resulting Numbers: [8, 22]\nGenerated Node #0,3,0: 50:[8, 22] Operation: 67-45=22\nMoving to Node #0,3,0\nCurrent State: 50:[8, 22], Operations: ['70-3=67', '67-45=22']\nExploring Operation: 22-8=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 50:[8, 22], Operations: ['70-3=67', '67-45=22']\nExploring Operation: 8+22=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 50:[8, 45, 67], Operations: ['70-3=67']\nExploring Operation: 67-8=59, Resulting Numbers: [45, 59]\nGenerated Node #0,3,1: 50:[45, 59] Operation: 67-8=59\nMoving to Node #0,3,1\nCurrent State: 50:[45, 59], Operations: ['70-3=67', '67-8=59']\nExploring Operation: 59-45=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 50:[8, 45, 67], Operations: ['70-3=67']\nExploring Operation: 8+45=53, Resulting Numbers: [67, 53]\nGenerated Node #0,3,2: 50:[67, 53] Operation: 8+45=53\nMoving to Node #0,3,2\nCurrent State: 50:[67, 53], Operations: ['70-3=67', '8+45=53']\nExploring Operation: 67-53=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 50:[8, 45, 67], Operations: ['70-3=67']\nExploring Operation: 45-8=37, Resulting Numbers: [67, 37]\nGenerated Node #0,3,3: 50:[67, 37] Operation: 45-8=37\nMoving to Node #0,3,3\nCurrent State: 50:[67, 37], Operations: ['70-3=67', '45-8=37']\nExploring Operation: 67-37=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 50:[8, 45, 67], Operations: ['70-3=67']\nExploring Operation: 8+67=75, Resulting Numbers: [45, 75]\nGenerated Node #0,3,4: 50:[45, 75] Operation: 8+67=75\nMoving to Node #0,3,4\nCurrent State: 50:[45, 75], Operations: ['70-3=67', '8+67=75']\nExploring Operation: 75-45=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 45+3=48, Resulting Numbers: [8, 70, 48]\nGenerated Node #0,4: 50:[8, 70, 48] Operation: 45+3=48\nMoving to Node #0,4\nCurrent State: 50:[8, 70, 48], Operations: ['45+3=48']\nExploring Operation: 70-48=22, Resulting Numbers: [8, 22]\nGenerated Node #0,4,0: 50:[8, 22] Operation: 70-48=22\nMoving to Node #0,4,0\nCurrent State: 50:[8, 22], Operations: ['45+3=48', '70-48=22']\nExploring Operation: 22-8=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 50:[8, 22], Operations: ['45+3=48', '70-48=22']\nExploring Operation: 8+22=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 50:[8, 70, 48], Operations: ['45+3=48']\nExploring Operation: 70-8=62, Resulting Numbers: [48, 62]\nGenerated Node #0,4,1: 50:[48, 62] Operation: 70-8=62\nMoving to Node #0,4,1\nCurrent State: 50:[48, 62], Operations: ['45+3=48', '70-8=62']\nExploring Operation: 62-48=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 50:[8, 70, 48], Operations: ['45+3=48']\nExploring Operation: 48/8=6, Resulting Numbers: [70, 6]\nGenerated Node #0,4,2: 50:[70, 6] Operation: 48/8=6\nMoving to Node #0,4,2\nCurrent State: 50:[70, 6], Operations: ['45+3=48', '48/8=6']\nExploring Operation: 70-6=64, Resulting Numbers: [64]\n64,50 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 50:[70, 6], Operations: ['45+3=48', '48/8=6']\nExploring Operation: 70+6=76, Resulting Numbers: [76]\n76,50 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 50:[8, 70, 48], Operations: ['45+3=48']\nExploring Operation: 8+48=56, Resulting Numbers: [70, 56]\nGenerated Node #0,4,3: 50:[70, 56] Operation: 8+48=56\nMoving to Node #0,4,3\nCurrent State: 50:[70, 56], Operations: ['45+3=48', '8+48=56']\nExploring Operation: 70-56=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 50:[8, 70, 48], Operations: ['45+3=48']\nExploring Operation: 8+70=78, Resulting Numbers: [48, 78]\nGenerated Node #0,4,4: 50:[48, 78] Operation: 8+70=78\nMoving to Node #0,4,4\nCurrent State: 50:[48, 78], Operations: ['45+3=48', '8+70=78']\nExploring Operation: 78-48=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 50:[8, 70, 48], Operations: ['45+3=48']\nExploring Operation: 48-8=40, Resulting Numbers: [70, 40]\nGenerated Node #0,4,5: 50:[70, 40] Operation: 48-8=40\nMoving to Node #0,4,5\nCurrent State: 50:[70, 40], Operations: ['45+3=48', '48-8=40']\nExploring Operation: 70-40=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 8-3=5, Resulting Numbers: [70, 45, 5]\nGenerated Node #0,5: 50:[70, 45, 5] Operation: 8-3=5\nMoving to Node #0,5\nCurrent State: 50:[70, 45, 5], Operations: ['8-3=5']\nExploring Operation: 70-45=25, Resulting Numbers: [5, 25]\nGenerated Node #0,5,0: 50:[5, 25] Operation: 70-45=25\nMoving to Node #0,5,0\nCurrent State: 50:[5, 25], Operations: ['8-3=5', '70-45=25']\nExploring Operation: 25/5=5, Resulting Numbers: [5]\n5,50 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 50:[5, 25], Operations: ['8-3=5', '70-45=25']\nExploring Operation: 5+25=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 50:[5, 25], Operations: ['8-3=5', '70-45=25']\nExploring Operation: 25-5=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 50:[70, 45, 5], Operations: ['8-3=5']\nExploring Operation: 70/5=14, Resulting Numbers: [45, 14]\nGenerated Node #0,5,1: 50:[45, 14] Operation: 70/5=14\nMoving to Node #0,5,1\nCurrent State: 50:[45, 14], Operations: ['8-3=5', '70/5=14']\nExploring Operation: 45-14=31, Resulting Numbers: [31]\n31,50 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 50:[45, 14], Operations: ['8-3=5', '70/5=14']\nExploring Operation: 45+14=59, Resulting Numbers: [59]\n59,50 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 50:[70, 45, 5], Operations: ['8-3=5']\nExploring Operation: 70-5=65, Resulting Numbers: [45, 65]\nGenerated Node #0,5,2: 50:[45, 65] Operation: 70-5=65\nMoving to Node #0,5,2\nCurrent State: 50:[45, 65], Operations: ['8-3=5', '70-5=65']\nExploring Operation: 65-45=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 50:[70, 45, 5], Operations: ['8-3=5']\nExploring Operation: 45+5=50, Resulting Numbers: [70, 50]\nGenerated Node #0,5,3: 50:[70, 50] Operation: 45+5=50\nMoving to Node #0,5,3\nCurrent State: 50:[70, 50], Operations: ['8-3=5', '45+5=50']\nExploring Operation: 70-50=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 50:[70, 45, 5], Operations: ['8-3=5']\nExploring Operation: 45/5=9, Resulting Numbers: [70, 9]\nGenerated Node #0,5,4: 50:[70, 9] Operation: 45/5=9\nMoving to Node #0,5,4\nCurrent State: 50:[70, 9], Operations: ['8-3=5', '45/5=9']\nExploring Operation: 70-9=61, Resulting Numbers: [61]\n61,50 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 50:[70, 9], Operations: ['8-3=5', '45/5=9']\nExploring Operation: 70+9=79, Resulting Numbers: [79]\n79,50 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 50:[70, 45, 5], Operations: ['8-3=5']\nExploring Operation: 70+5=75, Resulting Numbers: [45, 75]\nGenerated Node #0,5,5: 50:[45, 75] Operation: 70+5=75\nMoving to Node #0,5,5\nCurrent State: 50:[45, 75], Operations: ['8-3=5', '70+5=75']\nExploring Operation: 75-45=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 50:[70, 45, 5], Operations: ['8-3=5']\nExploring Operation: 45-5=40, Resulting Numbers: [70, 40]\nGenerated Node #0,5,6: 50:[70, 40] Operation: 45-5=40\nMoving to Node #0,5,6\nCurrent State: 50:[70, 40], Operations: ['8-3=5', '45-5=40']\nExploring Operation: 70-40=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 8+3=11, Resulting Numbers: [70, 45, 11]\nGenerated Node #0,6: 50:[70, 45, 11] Operation: 8+3=11\nMoving to Node #0,6\nCurrent State: 50:[70, 45, 11], Operations: ['8+3=11']\nExploring Operation: 70-45=25, Resulting Numbers: [11, 25]\nGenerated Node #0,6,0: 50:[11, 25] Operation: 70-45=25\nMoving to Node #0,6,0\nCurrent State: 50:[11, 25], Operations: ['8+3=11', '70-45=25']\nExploring Operation: 25-11=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 50:[11, 25], Operations: ['8+3=11', '70-45=25']\nExploring Operation: 11+25=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 50:[70, 45, 11], Operations: ['8+3=11']\nExploring Operation: 70-11=59, Resulting Numbers: [45, 59]\nGenerated Node #0,6,1: 50:[45, 59] Operation: 70-11=59\nMoving to Node #0,6,1\nCurrent State: 50:[45, 59], Operations: ['8+3=11', '70-11=59']\nExploring Operation: 59-45=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 50:[70, 45, 11], Operations: ['8+3=11']\nExploring Operation: 45+11=56, Resulting Numbers: [70, 56]\nGenerated Node #0,6,2: 50:[70, 56] Operation: 45+11=56\nMoving to Node #0,6,2\nCurrent State: 50:[70, 56], Operations: ['8+3=11', '45+11=56']\nExploring Operation: 70-56=14, Resulting Numbers: [14]\n14,50 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 50:[70, 45, 11], Operations: ['8+3=11']\nExploring Operation: 45-11=34, Resulting Numbers: [70, 34]\nGenerated Node #0,6,3: 50:[70, 34] Operation: 45-11=34\nMoving to Node #0,6,3\nCurrent State: 50:[70, 34], Operations: ['8+3=11', '45-11=34']\nExploring Operation: 70-34=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 50:[70, 45, 11], Operations: ['8+3=11']\nExploring Operation: 70+11=81, Resulting Numbers: [45, 81]\nGenerated Node #0,6,4: 50:[45, 81] Operation: 70+11=81\nMoving to Node #0,6,4\nCurrent State: 50:[45, 81], Operations: ['8+3=11', '70+11=81']\nExploring Operation: 81-45=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 8*3=24, Resulting Numbers: [70, 45, 24]\nGenerated Node #0,7: 50:[70, 45, 24] Operation: 8*3=24\nMoving to Node #0,7\nCurrent State: 50:[70, 45, 24], Operations: ['8*3=24']\nExploring Operation: 70-45=25, Resulting Numbers: [24, 25]\nGenerated Node #0,7,0: 50:[24, 25] Operation: 70-45=25\nMoving to Node #0,7,0\nCurrent State: 50:[24, 25], Operations: ['8*3=24', '70-45=25']\nExploring Operation: 24+25=49, Resulting Numbers: [49]\n49,50 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 50:[24, 25], Operations: ['8*3=24', '70-45=25']\nExploring Operation: 25-24=1, Resulting Numbers: [1]\n1,50 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 50:[70, 45, 24], Operations: ['8*3=24']\nExploring Operation: 70-24=46, Resulting Numbers: [45, 46]\nGenerated Node #0,7,1: 50:[45, 46] Operation: 70-24=46\nMoving to Node #0,7,1\nCurrent State: 50:[45, 46], Operations: ['8*3=24', '70-24=46']\nExploring Operation: 46-45=1, Resulting Numbers: [1]\n1,50 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 50:[45, 46], Operations: ['8*3=24', '70-24=46']\nExploring Operation: 45+46=91, Resulting Numbers: [91]\n91,50 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 50:[70, 45, 24], Operations: ['8*3=24']\nExploring Operation: 45-24=21, Resulting Numbers: [70, 21]\nGenerated Node #0,7,2: 50:[70, 21] Operation: 45-24=21\nMoving to Node #0,7,2\nCurrent State: 50:[70, 21], Operations: ['8*3=24', '45-24=21']\nExploring Operation: 70-21=49, Resulting Numbers: [49]\n49,50 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 50:[70, 21], Operations: ['8*3=24', '45-24=21']\nExploring Operation: 70+21=91, Resulting Numbers: [91]\n91,50 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 50:[70, 45, 24], Operations: ['8*3=24']\nExploring Operation: 45+24=69, Resulting Numbers: [70, 69]\nGenerated Node #0,7,3: 50:[70, 69] Operation: 45+24=69\nMoving to Node #0,7,3\nCurrent State: 50:[70, 69], Operations: ['8*3=24', '45+24=69']\nExploring Operation: 70-69=1, Resulting Numbers: [1]\n1,50 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 50:[70, 45, 24], Operations: ['8*3=24']\nExploring Operation: 70+24=94, Resulting Numbers: [45, 94]\nGenerated Node #0,7,4: 50:[45, 94] Operation: 70+24=94\nMoving to Node #0,7,4\nCurrent State: 50:[45, 94], Operations: ['8*3=24', '70+24=94']\nExploring Operation: 94-45=49, Resulting Numbers: [49]\n49,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 45/3=15, Resulting Numbers: [8, 70, 15]\nGenerated Node #0,8: 50:[8, 70, 15] Operation: 45/3=15\nMoving to Node #0,8\nCurrent State: 50:[8, 70, 15], Operations: ['45/3=15']\nExploring Operation: 70-15=55, Resulting Numbers: [8, 55]\nGenerated Node #0,8,0: 50:[8, 55] Operation: 70-15=55\nMoving to Node #0,8,0\nCurrent State: 50:[8, 55], Operations: ['45/3=15', '70-15=55']\nExploring Operation: 55-8=47, Resulting Numbers: [47]\n47,50 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 50:[8, 55], Operations: ['45/3=15', '70-15=55']\nExploring Operation: 8+55=63, Resulting Numbers: [63]\n63,50 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 50:[8, 70, 15], Operations: ['45/3=15']\nExploring Operation: 70-8=62, Resulting Numbers: [15, 62]\nGenerated Node #0,8,1: 50:[15, 62] Operation: 70-8=62\nMoving to Node #0,8,1\nCurrent State: 50:[15, 62], Operations: ['45/3=15', '70-8=62']\nExploring Operation: 62-15=47, Resulting Numbers: [47]\n47,50 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 50:[15, 62], Operations: ['45/3=15', '70-8=62']\nExploring Operation: 15+62=77, Resulting Numbers: [77]\n77,50 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 50:[8, 70, 15], Operations: ['45/3=15']\nExploring Operation: 8+15=23, Resulting Numbers: [70, 23]\nGenerated Node #0,8,2: 50:[70, 23] Operation: 8+15=23\nMoving to Node #0,8,2\nCurrent State: 50:[70, 23], Operations: ['45/3=15', '8+15=23']\nExploring Operation: 70-23=47, Resulting Numbers: [47]\n47,50 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 50:[70, 23], Operations: ['45/3=15', '8+15=23']\nExploring Operation: 70+23=93, Resulting Numbers: [93]\n93,50 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 50:[8, 70, 15], Operations: ['45/3=15']\nExploring Operation: 15-8=7, Resulting Numbers: [70, 7]\nGenerated Node #0,8,3: 50:[70, 7] Operation: 15-8=7\nMoving to Node #0,8,3\nCurrent State: 50:[70, 7], Operations: ['45/3=15', '15-8=7']\nExploring Operation: 70/7=10, Resulting Numbers: [10]\n10,50 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 50:[70, 7], Operations: ['45/3=15', '15-8=7']\nExploring Operation: 70-7=63, Resulting Numbers: [63]\n63,50 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 50:[70, 7], Operations: ['45/3=15', '15-8=7']\nExploring Operation: 70+7=77, Resulting Numbers: [77]\n77,50 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 50:[8, 70, 15], Operations: ['45/3=15']\nExploring Operation: 8+70=78, Resulting Numbers: [15, 78]\nGenerated Node #0,8,4: 50:[15, 78] Operation: 8+70=78\nMoving to Node #0,8,4\nCurrent State: 50:[15, 78], Operations: ['45/3=15', '8+70=78']\nExploring Operation: 78-15=63, Resulting Numbers: [63]\n63,50 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 50:[15, 78], Operations: ['45/3=15', '8+70=78']\nExploring Operation: 15+78=93, Resulting Numbers: [93]\n93,50 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 50:[8, 70, 15], Operations: ['45/3=15']\nExploring Operation: 70+15=85, Resulting Numbers: [8, 85]\nGenerated Node #0,8,5: 50:[8, 85] Operation: 70+15=85\nMoving to Node #0,8,5\nCurrent State: 50:[8, 85], Operations: ['45/3=15', '70+15=85']\nExploring Operation: 85-8=77, Resulting Numbers: [77]\n77,50 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 50:[8, 85], Operations: ['45/3=15', '70+15=85']\nExploring Operation: 8+85=93, Resulting Numbers: [93]\n93,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 70+3=73, Resulting Numbers: [8, 45, 73]\nGenerated Node #0,9: 50:[8, 45, 73] Operation: 70+3=73\nMoving to Node #0,9\nCurrent State: 50:[8, 45, 73], Operations: ['70+3=73']\nExploring Operation: 73-45=28, Resulting Numbers: [8, 28]\nGenerated Node #0,9,0: 50:[8, 28] Operation: 73-45=28\nMoving to Node #0,9,0\nCurrent State: 50:[8, 28], Operations: ['70+3=73', '73-45=28']\nExploring Operation: 28-8=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 50:[8, 28], Operations: ['70+3=73', '73-45=28']\nExploring Operation: 8+28=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 50:[8, 45, 73], Operations: ['70+3=73']\nExploring Operation: 73-8=65, Resulting Numbers: [45, 65]\nGenerated Node #0,9,1: 50:[45, 65] Operation: 73-8=65\nMoving to Node #0,9,1\nCurrent State: 50:[45, 65], Operations: ['70+3=73', '73-8=65']\nExploring Operation: 65-45=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 50:[8, 45, 73], Operations: ['70+3=73']\nExploring Operation: 8+45=53, Resulting Numbers: [73, 53]\nGenerated Node #0,9,2: 50:[73, 53] Operation: 8+45=53\nMoving to Node #0,9,2\nCurrent State: 50:[73, 53], Operations: ['70+3=73', '8+45=53']\nExploring Operation: 73-53=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 50:[8, 45, 73], Operations: ['70+3=73']\nExploring Operation: 45-8=37, Resulting Numbers: [73, 37]\nGenerated Node #0,9,3: 50:[73, 37] Operation: 45-8=37\nMoving to Node #0,9,3\nCurrent State: 50:[73, 37], Operations: ['70+3=73', '45-8=37']\nExploring Operation: 73-37=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 50:[8, 45, 73], Operations: ['70+3=73']\nExploring Operation: 8+73=81, Resulting Numbers: [45, 81]\nGenerated Node #0,9,4: 50:[45, 81] Operation: 8+73=81\nMoving to Node #0,9,4\nCurrent State: 50:[45, 81], Operations: ['70+3=73', '8+73=81']\nExploring Operation: 81-45=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 45-3=42, Resulting Numbers: [8, 70, 42]\nGenerated Node #0,10: 50:[8, 70, 42] Operation: 45-3=42\nMoving to Node #0,10\nCurrent State: 50:[8, 70, 42], Operations: ['45-3=42']\nExploring Operation: 70-42=28, Resulting Numbers: [8, 28]\nGenerated Node #0,10,0: 50:[8, 28] Operation: 70-42=28\nMoving to Node #0,10,0\nCurrent State: 50:[8, 28], Operations: ['45-3=42', '70-42=28']\nExploring Operation: 28-8=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 50:[8, 28], Operations: ['45-3=42', '70-42=28']\nExploring Operation: 8+28=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 50:[8, 70, 42], Operations: ['45-3=42']\nExploring Operation: 70-8=62, Resulting Numbers: [42, 62]\nGenerated Node #0,10,1: 50:[42, 62] Operation: 70-8=62\nMoving to Node #0,10,1\nCurrent State: 50:[42, 62], Operations: ['45-3=42', '70-8=62']\nExploring Operation: 62-42=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 50:[8, 70, 42], Operations: ['45-3=42']\nExploring Operation: 8+42=50, Resulting Numbers: [70, 50]\nGenerated Node #0,10,2: 50:[70, 50] Operation: 8+42=50\nMoving to Node #0,10,2\nCurrent State: 50:[70, 50], Operations: ['45-3=42', '8+42=50']\nExploring Operation: 70-50=20, Resulting Numbers: [20]\n20,50 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 50:[8, 70, 42], Operations: ['45-3=42']\nExploring Operation: 42-8=34, Resulting Numbers: [70, 34]\nGenerated Node #0,10,3: 50:[70, 34] Operation: 42-8=34\nMoving to Node #0,10,3\nCurrent State: 50:[70, 34], Operations: ['45-3=42', '42-8=34']\nExploring Operation: 70-34=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 50:[8, 70, 42], Operations: ['45-3=42']\nExploring Operation: 8+70=78, Resulting Numbers: [42, 78]\nGenerated Node #0,10,4: 50:[42, 78] Operation: 8+70=78\nMoving to Node #0,10,4\nCurrent State: 50:[42, 78], Operations: ['45-3=42', '8+70=78']\nExploring Operation: 78-42=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 45-8=37, Resulting Numbers: [70, 3, 37]\nGenerated Node #0,11: 50:[70, 3, 37] Operation: 45-8=37\nMoving to Node #0,11\nCurrent State: 50:[70, 3, 37], Operations: ['45-8=37']\nExploring Operation: 70-37=33, Resulting Numbers: [3, 33]\nGenerated Node #0,11,0: 50:[3, 33] Operation: 70-37=33\nMoving to Node #0,11,0\nCurrent State: 50:[3, 33], Operations: ['45-8=37', '70-37=33']\nExploring Operation: 33/3=11, Resulting Numbers: [11]\n11,50 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 50:[3, 33], Operations: ['45-8=37', '70-37=33']\nExploring Operation: 33-3=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 50:[3, 33], Operations: ['45-8=37', '70-37=33']\nExploring Operation: 3+33=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 50:[3, 33], Operations: ['45-8=37', '70-37=33']\nExploring Operation: 3*33=99, Resulting Numbers: [99]\n99,50 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 50:[70, 3, 37], Operations: ['45-8=37']\nExploring Operation: 70-3=67, Resulting Numbers: [37, 67]\nGenerated Node #0,11,1: 50:[37, 67] Operation: 70-3=67\nMoving to Node #0,11,1\nCurrent State: 50:[37, 67], Operations: ['45-8=37', '70-3=67']\nExploring Operation: 67-37=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 50:[70, 3, 37], Operations: ['45-8=37']\nExploring Operation: 37-3=34, Resulting Numbers: [70, 34]\nGenerated Node #0,11,2: 50:[70, 34] Operation: 37-3=34\nMoving to Node #0,11,2\nCurrent State: 50:[70, 34], Operations: ['45-8=37', '37-3=34']\nExploring Operation: 70-34=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 50:[70, 3, 37], Operations: ['45-8=37']\nExploring Operation: 3+37=40, Resulting Numbers: [70, 40]\nGenerated Node #0,11,3: 50:[70, 40] Operation: 3+37=40\nMoving to Node #0,11,3\nCurrent State: 50:[70, 40], Operations: ['45-8=37', '3+37=40']\nExploring Operation: 70-40=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 50:[70, 3, 37], Operations: ['45-8=37']\nExploring Operation: 70+3=73, Resulting Numbers: [37, 73]\nGenerated Node #0,11,4: 50:[37, 73] Operation: 70+3=73\nMoving to Node #0,11,4\nCurrent State: 50:[37, 73], Operations: ['45-8=37', '70+3=73']\nExploring Operation: 73-37=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[8, 70, 45, 3], Operations: []\nExploring Operation: 8+70=78, Resulting Numbers: [45, 3, 78]\nGenerated Node #0,12: 50:[45, 3, 78] Operation: 8+70=78\nMoving to Node #0,12\nCurrent State: 50:[45, 3, 78], Operations: ['8+70=78']\nExploring Operation: 78/3=26, Resulting Numbers: [45, 26]\nGenerated Node #0,12,0: 50:[45, 26] Operation: 78/3=26\nMoving to Node #0,12,0\nCurrent State: 50:[45, 26], Operations: ['8+70=78', '78/3=26']\nExploring Operation: 45-26=19, Resulting Numbers: [19]\n19,50 unequal: No Solution\nMoving to Node #0,12,0\nCurrent State: 50:[45, 26], Operations: ['8+70=78', '78/3=26']\nExploring Operation: 45+26=71, Resulting Numbers: [71]\n71,50 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 50:[45, 3, 78], Operations: ['8+70=78']\nExploring Operation: 78-45=33, Resulting Numbers: [3, 33]\nGenerated Node #0,12,1: 50:[3, 33] Operation: 78-45=33\nMoving to Node #0,12,1\nCurrent State: 50:[3, 33], Operations: ['8+70=78', '78-45=33']\nExploring Operation: 33/3=11, Resulting Numbers: [11]\n11,50 unequal: No Solution\nMoving to Node #0,12,1\nCurrent State: 50:[3, 33], Operations: ['8+70=78', '78-45=33']\nExploring Operation: 33-3=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,12,1\nCurrent State: 50:[3, 33], Operations: ['8+70=78', '78-45=33']\nExploring Operation: 3+33=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,12,1\nCurrent State: 50:[3, 33], Operations: ['8+70=78', '78-45=33']\nExploring Operation: 3*33=99, Resulting Numbers: [99]\n99,50 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 50:[45, 3, 78], Operations: ['8+70=78']\nExploring Operation: 45+3=48, Resulting Numbers: [78, 48]\nGenerated Node #0,12,2: 50:[78, 48] Operation: 45+3=48\nMoving to Node #0,12,2\nCurrent State: 50:[78, 48], Operations: ['8+70=78', '45+3=48']\nExploring Operation: 78-48=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 50:[45, 3, 78], Operations: ['8+70=78']\nExploring Operation: 78-3=75, Resulting Numbers: [45, 75]\nGenerated Node #0,12,3: 50:[45, 75] Operation: 78-3=75\nMoving to Node #0,12,3\nCurrent State: 50:[45, 75], Operations: ['8+70=78', '78-3=75']\nExploring Operation: 75-45=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 50:[45, 3, 78], Operations: ['8+70=78']\nExploring Operation: 45/3=15, Resulting Numbers: [78, 15]\nGenerated Node #0,12,4: 50:[78, 15] Operation: 45/3=15\nMoving to Node #0,12,4\nCurrent State: 50:[78, 15], Operations: ['8+70=78', '45/3=15']\nExploring Operation: 78-15=63, Resulting Numbers: [63]\n63,50 unequal: No Solution\nMoving to Node #0,12,4\nCurrent State: 50:[78, 15], Operations: ['8+70=78', '45/3=15']\nExploring Operation: 78+15=93, Resulting Numbers: [93]\n93,50 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 50:[45, 3, 78], Operations: ['8+70=78']\nExploring Operation: 45-3=42, Resulting Numbers: [78, 42]\nGenerated Node #0,12,5: 50:[78, 42] Operation: 45-3=42\nMoving to Node #0,12,5\nCurrent State: 50:[78, 42], Operations: ['8+70=78', '45-3=42']\nExploring Operation: 78-42=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 50:[45, 3, 78], Operations: ['8+70=78']\nExploring Operation: 3+78=81, Resulting Numbers: [45, 81]\nGenerated Node #0,12,6: 50:[45, 81] Operation: 3+78=81\nMoving to Node #0,12,6\nCurrent State: 50:[45, 81], Operations: ['8+70=78', '3+78=81']\nExploring Operation: 81-45=36, Resulting Numbers: [36]\n36,50 unequal: No Solution\n", "role": "assistant" } ]
[ 64, 26, 26, 32 ]
97
[ "64+32=96", "26/26=1", "96+1=97" ]
Current State: 97:[64, 26, 26, 32], Operations: [] Exploring Operation: 64+26=90, Resulting Numbers: [26, 32, 90] Generated Node #0,0: 97:[26, 32, 90] Operation: 64+26=90 Exploring Operation: 64+26=90, Resulting Numbers: [26, 32, 90] Generated Node #0,1: 97:[26, 32, 90] Operation: 64+26=90 Moving to Node #0,0 Current State: 97:[26, 32, 90], Operations: ['64+26=90'] Exploring Operation: 26+32=58, Resulting Numbers: [90, 58] Generated Node #0,0,0: 97:[90, 58] Operation: 26+32=58 Exploring Operation: 26+90=116, Resulting Numbers: [32, 116] Generated Node #0,0,1: 97:[32, 116] Operation: 26+90=116 Moving to Node #0,1 Current State: 97:[26, 32, 90], Operations: ['64+26=90'] Exploring Operation: 26+90=116, Resulting Numbers: [32, 116] Generated Node #0,1,0: 97:[32, 116] Operation: 26+90=116 Exploring Operation: 26+32=58, Resulting Numbers: [90, 58] Generated Node #0,1,1: 97:[90, 58] Operation: 26+32=58 Moving to Node #0,0,0 Current State: 97:[90, 58], Operations: ['64+26=90', '26+32=58'] Exploring Operation: 90+58=148, Resulting Numbers: [148] 148,97 unequal: No Solution Exploring Operation: 90-58=32, Resulting Numbers: [32] 32,97 unequal: No Solution Moving to Node #0,1,1 Current State: 97:[90, 58], Operations: ['64+26=90', '26+32=58'] Exploring Operation: 90+58=148, Resulting Numbers: [148] 148,97 unequal: No Solution Exploring Operation: 90-58=32, Resulting Numbers: [32] 32,97 unequal: No Solution Moving to Node #0,0,1 Current State: 97:[32, 116], Operations: ['64+26=90', '26+90=116'] Exploring Operation: 116-32=84, Resulting Numbers: [84] 84,97 unequal: No Solution Exploring Operation: 32+116=148, Resulting Numbers: [148] 148,97 unequal: No Solution Moving to Node #0,1,0 Current State: 97:[32, 116], Operations: ['64+26=90', '26+90=116'] Exploring Operation: 116-32=84, Resulting Numbers: [84] 84,97 unequal: No Solution Exploring Operation: 32+116=148, Resulting Numbers: [148] 148,97 unequal: No Solution Moving to Node #0,0,1,0 Current State: 97:[84], Operations: ['64+26=90', '26+90=116', '116-32=84'] Moving to Node #0,1,0,0 Current State: 97:[84], Operations: ['64+26=90', '26+90=116', '116-32=84'] Moving to Node #0,0,1,0 Current State: 97:[148], Operations: ['64+26=90', '26+90=116', '32+116=148'] Moving to Node #0,0,0,0 Current State: 97:[148], Operations: ['64+26=90', '26+32=58', '90+58=148'] Moving to Node #0,1,1,0 Current State: 97:[148], Operations: ['64+26=90', '26+32=58', '90+58=148'] Moving to Node #0,1,0,0 Current State: 97:[148], Operations: ['64+26=90', '26+90=116', '32+116=148'] Moving to Node #0,0,0,0 Current State: 97:[32], Operations: ['64+26=90', '26+32=58', '90-58=32'] Moving to Node #0,1,1,0 Current State: 97:[32], Operations: ['64+26=90', '26+32=58', '90-58=32'] No solution found.
0
bfs_2
Current State: 97:[64, 26, 26, 32], Operations: [] Exploring Operation: 64+32=96, Resulting Numbers: [26, 26, 96] Generated Node #2: [26, 26, 96] from Operation: 64+32=96 Current State: 97:[26, 26, 96], Operations: ['64+32=96'] Exploring Operation: 26/26=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 26/26=1 Current State: 97:[96, 1], Operations: ['64+32=96', '26/26=1'] Exploring Operation: 96+1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
sum_heuristic
[ { "content": "Make 97 with the numbers [64, 26, 26, 32] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 97:[64, 26, 26, 32], Operations: []\nExploring Operation: 64+26=90, Resulting Numbers: [26, 32, 90]\nGenerated Node #0,0: 97:[26, 32, 90] Operation: 64+26=90\nExploring Operation: 64+26=90, Resulting Numbers: [26, 32, 90]\nGenerated Node #0,1: 97:[26, 32, 90] Operation: 64+26=90\nMoving to Node #0,0\nCurrent State: 97:[26, 32, 90], Operations: ['64+26=90']\nExploring Operation: 26+32=58, Resulting Numbers: [90, 58]\nGenerated Node #0,0,0: 97:[90, 58] Operation: 26+32=58\nExploring Operation: 26+90=116, Resulting Numbers: [32, 116]\nGenerated Node #0,0,1: 97:[32, 116] Operation: 26+90=116\nMoving to Node #0,1\nCurrent State: 97:[26, 32, 90], Operations: ['64+26=90']\nExploring Operation: 26+90=116, Resulting Numbers: [32, 116]\nGenerated Node #0,1,0: 97:[32, 116] Operation: 26+90=116\nExploring Operation: 26+32=58, Resulting Numbers: [90, 58]\nGenerated Node #0,1,1: 97:[90, 58] Operation: 26+32=58\nMoving to Node #0,0,0\nCurrent State: 97:[90, 58], Operations: ['64+26=90', '26+32=58']\nExploring Operation: 90+58=148, Resulting Numbers: [148]\n148,97 unequal: No Solution\nExploring Operation: 90-58=32, Resulting Numbers: [32]\n32,97 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 97:[90, 58], Operations: ['64+26=90', '26+32=58']\nExploring Operation: 90+58=148, Resulting Numbers: [148]\n148,97 unequal: No Solution\nExploring Operation: 90-58=32, Resulting Numbers: [32]\n32,97 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 97:[32, 116], Operations: ['64+26=90', '26+90=116']\nExploring Operation: 116-32=84, Resulting Numbers: [84]\n84,97 unequal: No Solution\nExploring Operation: 32+116=148, Resulting Numbers: [148]\n148,97 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 97:[32, 116], Operations: ['64+26=90', '26+90=116']\nExploring Operation: 116-32=84, Resulting Numbers: [84]\n84,97 unequal: No Solution\nExploring Operation: 32+116=148, Resulting Numbers: [148]\n148,97 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 97:[84], Operations: ['64+26=90', '26+90=116', '116-32=84']\nMoving to Node #0,1,0,0\nCurrent State: 97:[84], Operations: ['64+26=90', '26+90=116', '116-32=84']\nMoving to Node #0,0,1,0\nCurrent State: 97:[148], Operations: ['64+26=90', '26+90=116', '32+116=148']\nMoving to Node #0,0,0,0\nCurrent State: 97:[148], Operations: ['64+26=90', '26+32=58', '90+58=148']\nMoving to Node #0,1,1,0\nCurrent State: 97:[148], Operations: ['64+26=90', '26+32=58', '90+58=148']\nMoving to Node #0,1,0,0\nCurrent State: 97:[148], Operations: ['64+26=90', '26+90=116', '32+116=148']\nMoving to Node #0,0,0,0\nCurrent State: 97:[32], Operations: ['64+26=90', '26+32=58', '90-58=32']\nMoving to Node #0,1,1,0\nCurrent State: 97:[32], Operations: ['64+26=90', '26+32=58', '90-58=32']\nNo solution found.", "role": "assistant" } ]
[ 53, 3, 35, 50 ]
65
[ "53-3=50", "50-35=15", "50+15=65" ]
Current State: 65:[53, 3, 35, 50], Operations: [] Exploring Operation: 35-3=32, Resulting Numbers: [53, 50, 32] Generated Node #0,0: 65:[53, 50, 32] Operation: 35-3=32 Exploring Operation: 3+35=38, Resulting Numbers: [53, 50, 38] Generated Node #0,1: 65:[53, 50, 38] Operation: 3+35=38 Exploring Operation: 53-3=50, Resulting Numbers: [35, 50, 50] Generated Node #0,2: 65:[35, 50, 50] Operation: 53-3=50 Exploring Operation: 53+3=56, Resulting Numbers: [35, 50, 56] Generated Node #0,3: 65:[35, 50, 56] Operation: 53+3=56 Exploring Operation: 3+50=53, Resulting Numbers: [53, 35, 53] Generated Node #0,4: 65:[53, 35, 53] Operation: 3+50=53 Moving to Node #0,1 Current State: 65:[53, 50, 38], Operations: ['3+35=38'] Exploring Operation: 50+38=88, Resulting Numbers: [53, 88] Generated Node #0,1,0: 65:[53, 88] Operation: 50+38=88 Exploring Operation: 53-38=15, Resulting Numbers: [50, 15] Generated Node #0,1,1: 65:[50, 15] Operation: 53-38=15 Exploring Operation: 50-38=12, Resulting Numbers: [53, 12] Generated Node #0,1,2: 65:[53, 12] Operation: 50-38=12 Exploring Operation: 53+38=91, Resulting Numbers: [50, 91] Generated Node #0,1,3: 65:[50, 91] Operation: 53+38=91 Exploring Operation: 53+50=103, Resulting Numbers: [38, 103] Generated Node #0,1,4: 65:[38, 103] Operation: 53+50=103 Moving to Node #0,4 Current State: 65:[53, 35, 53], Operations: ['3+50=53'] Exploring Operation: 35+53=88, Resulting Numbers: [53, 88] Generated Node #0,4,0: 65:[53, 88] Operation: 35+53=88 Exploring Operation: 53+53=106, Resulting Numbers: [35, 106] Generated Node #0,4,1: 65:[35, 106] Operation: 53+53=106 Exploring Operation: 53-35=18, Resulting Numbers: [53, 18] Generated Node #0,4,2: 65:[53, 18] Operation: 53-35=18 Exploring Operation: 53-35=18, Resulting Numbers: [53, 18] Generated Node #0,4,3: 65:[53, 18] Operation: 53-35=18 Exploring Operation: 53+35=88, Resulting Numbers: [53, 88] Generated Node #0,4,4: 65:[53, 88] Operation: 53+35=88 Moving to Node #0,3 Current State: 65:[35, 50, 56], Operations: ['53+3=56'] Exploring Operation: 50+56=106, Resulting Numbers: [35, 106] Generated Node #0,3,0: 65:[35, 106] Operation: 50+56=106 Exploring Operation: 35+50=85, Resulting Numbers: [56, 85] Generated Node #0,3,1: 65:[56, 85] Operation: 35+50=85 Exploring Operation: 50-35=15, Resulting Numbers: [56, 15] Generated Node #0,3,2: 65:[56, 15] Operation: 50-35=15 Exploring Operation: 56-35=21, Resulting Numbers: [50, 21] Generated Node #0,3,3: 65:[50, 21] Operation: 56-35=21 Exploring Operation: 35+56=91, Resulting Numbers: [50, 91] Generated Node #0,3,4: 65:[50, 91] Operation: 35+56=91 Moving to Node #0,0 Current State: 65:[53, 50, 32], Operations: ['35-3=32'] Exploring Operation: 50-32=18, Resulting Numbers: [53, 18] Generated Node #0,0,0: 65:[53, 18] Operation: 50-32=18 Exploring Operation: 53+50=103, Resulting Numbers: [32, 103] Generated Node #0,0,1: 65:[32, 103] Operation: 53+50=103 Exploring Operation: 53+32=85, Resulting Numbers: [50, 85] Generated Node #0,0,2: 65:[50, 85] Operation: 53+32=85 Exploring Operation: 53-32=21, Resulting Numbers: [50, 21] Generated Node #0,0,3: 65:[50, 21] Operation: 53-32=21 Exploring Operation: 50+32=82, Resulting Numbers: [53, 82] Generated Node #0,0,4: 65:[53, 82] Operation: 50+32=82 Moving to Node #0,2 Current State: 65:[35, 50, 50], Operations: ['53-3=50'] Exploring Operation: 50-35=15, Resulting Numbers: [50, 15] Generated Node #0,2,0: 65:[50, 15] Operation: 50-35=15 Exploring Operation: 35+50=85, Resulting Numbers: [50, 85] Generated Node #0,2,1: 65:[50, 85] Operation: 35+50=85 Exploring Operation: 50-35=15, Resulting Numbers: [50, 15] Generated Node #0,2,2: 65:[50, 15] Operation: 50-35=15 Exploring Operation: 50+50=100, Resulting Numbers: [35, 100] Generated Node #0,2,3: 65:[35, 100] Operation: 50+50=100 Exploring Operation: 35+50=85, Resulting Numbers: [50, 85] Generated Node #0,2,4: 65:[50, 85] Operation: 35+50=85 Moving to Node #0,3,1 Current State: 65:[56, 85], Operations: ['53+3=56', '35+50=85'] Exploring Operation: 56*85=4760, Resulting Numbers: [4760] 4760,65 unequal: No Solution Exploring Operation: 85-56=29, Resulting Numbers: [29] 29,65 unequal: No Solution Exploring Operation: 56+85=141, Resulting Numbers: [141] 141,65 unequal: No Solution Moving to Node #0,0,4 Current State: 65:[53, 82], Operations: ['35-3=32', '50+32=82'] Exploring Operation: 53+82=135, Resulting Numbers: [135] 135,65 unequal: No Solution Exploring Operation: 82-53=29, Resulting Numbers: [29] 29,65 unequal: No Solution Exploring Operation: 53*82=4346, Resulting Numbers: [4346] 4346,65 unequal: No Solution Moving to Node #0,4,0 Current State: 65:[53, 88], Operations: ['3+50=53', '35+53=88'] Exploring Operation: 53+88=141, Resulting Numbers: [141] 141,65 unequal: No Solution Exploring Operation: 53*88=4664, Resulting Numbers: [4664] 4664,65 unequal: No Solution Exploring Operation: 88-53=35, Resulting Numbers: [35] 35,65 unequal: No Solution Moving to Node #0,4,4 Current State: 65:[53, 88], Operations: ['3+50=53', '53+35=88'] Exploring Operation: 53+88=141, Resulting Numbers: [141] 141,65 unequal: No Solution Exploring Operation: 88-53=35, Resulting Numbers: [35] 35,65 unequal: No Solution Exploring Operation: 53*88=4664, Resulting Numbers: [4664] 4664,65 unequal: No Solution Moving to Node #0,2,1 Current State: 65:[50, 85], Operations: ['53-3=50', '35+50=85'] Exploring Operation: 50*85=4250, Resulting Numbers: [4250] 4250,65 unequal: No Solution Exploring Operation: 85-50=35, Resulting Numbers: [35] 35,65 unequal: No Solution Exploring Operation: 50+85=135, Resulting Numbers: [135] 135,65 unequal: No Solution Moving to Node #0,2,4 Current State: 65:[50, 85], Operations: ['53-3=50', '35+50=85'] Exploring Operation: 50+85=135, Resulting Numbers: [135] 135,65 unequal: No Solution Exploring Operation: 85-50=35, Resulting Numbers: [35] 35,65 unequal: No Solution Exploring Operation: 50*85=4250, Resulting Numbers: [4250] 4250,65 unequal: No Solution Moving to Node #0,1,0 Current State: 65:[53, 88], Operations: ['3+35=38', '50+38=88'] Exploring Operation: 53+88=141, Resulting Numbers: [141] 141,65 unequal: No Solution Exploring Operation: 53*88=4664, Resulting Numbers: [4664] 4664,65 unequal: No Solution Exploring Operation: 88-53=35, Resulting Numbers: [35] 35,65 unequal: No Solution Moving to Node #0,0,2 Current State: 65:[50, 85], Operations: ['35-3=32', '53+32=85'] Exploring Operation: 85-50=35, Resulting Numbers: [35] 35,65 unequal: No Solution Exploring Operation: 50*85=4250, Resulting Numbers: [4250] 4250,65 unequal: No Solution Exploring Operation: 50+85=135, Resulting Numbers: [135] 135,65 unequal: No Solution Moving to Node #0,3,4 Current State: 65:[50, 91], Operations: ['53+3=56', '35+56=91'] Exploring Operation: 91-50=41, Resulting Numbers: [41] 41,65 unequal: No Solution Exploring Operation: 50+91=141, Resulting Numbers: [141] 141,65 unequal: No Solution Exploring Operation: 50*91=4550, Resulting Numbers: [4550] 4550,65 unequal: No Solution Moving to Node #0,1,3 Current State: 65:[50, 91], Operations: ['3+35=38', '53+38=91'] Exploring Operation: 91-50=41, Resulting Numbers: [41] 41,65 unequal: No Solution Exploring Operation: 50*91=4550, Resulting Numbers: [4550] 4550,65 unequal: No Solution Exploring Operation: 50+91=141, Resulting Numbers: [141] 141,65 unequal: No Solution Moving to Node #0,3,4,0 Current State: 65:[41], Operations: ['53+3=56', '35+56=91', '91-50=41'] Moving to Node #0,1,3,0 Current State: 65:[41], Operations: ['3+35=38', '53+38=91', '91-50=41'] Moving to Node #0,3,2 Current State: 65:[56, 15], Operations: ['53+3=56', '50-35=15'] Exploring Operation: 56*15=840, Resulting Numbers: [840] 840,65 unequal: No Solution Exploring Operation: 56+15=71, Resulting Numbers: [71] 71,65 unequal: No Solution Exploring Operation: 56-15=41, Resulting Numbers: [41] 41,65 unequal: No Solution Moving to Node #0,3,3 Current State: 65:[50, 21], Operations: ['53+3=56', '56-35=21'] Exploring Operation: 50-21=29, Resulting Numbers: [29] 29,65 unequal: No Solution Exploring Operation: 50*21=1050, Resulting Numbers: [1050] 1050,65 unequal: No Solution Exploring Operation: 50+21=71, Resulting Numbers: [71] 71,65 unequal: No Solution Moving to Node #0,4,3 Current State: 65:[53, 18], Operations: ['3+50=53', '53-35=18'] Exploring Operation: 53*18=954, Resulting Numbers: [954] 954,65 unequal: No Solution Exploring Operation: 53+18=71, Resulting Numbers: [71] 71,65 unequal: No Solution Exploring Operation: 53-18=35, Resulting Numbers: [35] 35,65 unequal: No Solution Moving to Node #0,3,2,0 Current State: 65:[71], Operations: ['53+3=56', '50-35=15', '56+15=71'] Moving to Node #0,3,3,0 Current State: 65:[71], Operations: ['53+3=56', '56-35=21', '50+21=71'] Moving to Node #0,4,3,0 Current State: 65:[71], Operations: ['3+50=53', '53-35=18', '53+18=71'] Moving to Node #0,3,2,0 Current State: 65:[41], Operations: ['53+3=56', '50-35=15', '56-15=41'] Moving to Node #0,0,3 Current State: 65:[50, 21], Operations: ['35-3=32', '53-32=21'] Exploring Operation: 50+21=71, Resulting Numbers: [71] 71,65 unequal: No Solution Exploring Operation: 50*21=1050, Resulting Numbers: [1050] 1050,65 unequal: No Solution Exploring Operation: 50-21=29, Resulting Numbers: [29] 29,65 unequal: No Solution Moving to Node #0,0,3,0 Current State: 65:[71], Operations: ['35-3=32', '53-32=21', '50+21=71'] Moving to Node #0,0,0 Current State: 65:[53, 18], Operations: ['35-3=32', '50-32=18'] Exploring Operation: 53-18=35, Resulting Numbers: [35] 35,65 unequal: No Solution Exploring Operation: 53*18=954, Resulting Numbers: [954] 954,65 unequal: No Solution Exploring Operation: 53+18=71, Resulting Numbers: [71] 71,65 unequal: No Solution Moving to Node #0,4,2 Current State: 65:[53, 18], Operations: ['3+50=53', '53-35=18'] Exploring Operation: 53*18=954, Resulting Numbers: [954] 954,65 unequal: No Solution Exploring Operation: 53-18=35, Resulting Numbers: [35] 35,65 unequal: No Solution Exploring Operation: 53+18=71, Resulting Numbers: [71] 71,65 unequal: No Solution Moving to Node #0,4,4,0 Current State: 65:[35], Operations: ['3+50=53', '53+35=88', '88-53=35'] Moving to Node #0,2,4,0 Current State: 65:[35], Operations: ['53-3=50', '35+50=85', '85-50=35'] Moving to Node #0,0,0,0 Current State: 65:[71], Operations: ['35-3=32', '50-32=18', '53+18=71'] Moving to Node #0,4,2,0 Current State: 65:[71], Operations: ['3+50=53', '53-35=18', '53+18=71'] Moving to Node #0,4,3,0 Current State: 65:[35], Operations: ['3+50=53', '53-35=18', '53-18=35'] Moving to Node #0,4,0,0 Current State: 65:[35], Operations: ['3+50=53', '35+53=88', '88-53=35'] Moving to Node #0,0,2,0 Current State: 65:[35], Operations: ['35-3=32', '53+32=85', '85-50=35'] Moving to Node #0,0,0,0 Current State: 65:[35], Operations: ['35-3=32', '50-32=18', '53-18=35'] Moving to Node #0,4,2,0 Current State: 65:[35], Operations: ['3+50=53', '53-35=18', '53-18=35'] Moving to Node #0,1,0,0 Current State: 65:[35], Operations: ['3+35=38', '50+38=88', '88-53=35'] Moving to Node #0,2,1,0 Current State: 65:[35], Operations: ['53-3=50', '35+50=85', '85-50=35'] Moving to Node #0,1,2 Current State: 65:[53, 12], Operations: ['3+35=38', '50-38=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
0.930556
bfs_5
Current State: 65:[53, 3, 35, 50], Operations: [] Exploring Operation: 53-3=50, Resulting Numbers: [35, 50, 50] Generated Node #2: [35, 50, 50] from Operation: 53-3=50 Current State: 65:[35, 50, 50], Operations: ['53-3=50'] Exploring Operation: 50-35=15, Resulting Numbers: [15] 15,65 equal: Goal Reached Exploring Operation: 50+15=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
sum_heuristic
[ { "content": "Make 65 with the numbers [53, 3, 35, 50] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 65:[53, 3, 35, 50], Operations: []\nExploring Operation: 35-3=32, Resulting Numbers: [53, 50, 32]\nGenerated Node #0,0: 65:[53, 50, 32] Operation: 35-3=32\nExploring Operation: 3+35=38, Resulting Numbers: [53, 50, 38]\nGenerated Node #0,1: 65:[53, 50, 38] Operation: 3+35=38\nExploring Operation: 53-3=50, Resulting Numbers: [35, 50, 50]\nGenerated Node #0,2: 65:[35, 50, 50] Operation: 53-3=50\nExploring Operation: 53+3=56, Resulting Numbers: [35, 50, 56]\nGenerated Node #0,3: 65:[35, 50, 56] Operation: 53+3=56\nExploring Operation: 3+50=53, Resulting Numbers: [53, 35, 53]\nGenerated Node #0,4: 65:[53, 35, 53] Operation: 3+50=53\nMoving to Node #0,1\nCurrent State: 65:[53, 50, 38], Operations: ['3+35=38']\nExploring Operation: 50+38=88, Resulting Numbers: [53, 88]\nGenerated Node #0,1,0: 65:[53, 88] Operation: 50+38=88\nExploring Operation: 53-38=15, Resulting Numbers: [50, 15]\nGenerated Node #0,1,1: 65:[50, 15] Operation: 53-38=15\nExploring Operation: 50-38=12, Resulting Numbers: [53, 12]\nGenerated Node #0,1,2: 65:[53, 12] Operation: 50-38=12\nExploring Operation: 53+38=91, Resulting Numbers: [50, 91]\nGenerated Node #0,1,3: 65:[50, 91] Operation: 53+38=91\nExploring Operation: 53+50=103, Resulting Numbers: [38, 103]\nGenerated Node #0,1,4: 65:[38, 103] Operation: 53+50=103\nMoving to Node #0,4\nCurrent State: 65:[53, 35, 53], Operations: ['3+50=53']\nExploring Operation: 35+53=88, Resulting Numbers: [53, 88]\nGenerated Node #0,4,0: 65:[53, 88] Operation: 35+53=88\nExploring Operation: 53+53=106, Resulting Numbers: [35, 106]\nGenerated Node #0,4,1: 65:[35, 106] Operation: 53+53=106\nExploring Operation: 53-35=18, Resulting Numbers: [53, 18]\nGenerated Node #0,4,2: 65:[53, 18] Operation: 53-35=18\nExploring Operation: 53-35=18, Resulting Numbers: [53, 18]\nGenerated Node #0,4,3: 65:[53, 18] Operation: 53-35=18\nExploring Operation: 53+35=88, Resulting Numbers: [53, 88]\nGenerated Node #0,4,4: 65:[53, 88] Operation: 53+35=88\nMoving to Node #0,3\nCurrent State: 65:[35, 50, 56], Operations: ['53+3=56']\nExploring Operation: 50+56=106, Resulting Numbers: [35, 106]\nGenerated Node #0,3,0: 65:[35, 106] Operation: 50+56=106\nExploring Operation: 35+50=85, Resulting Numbers: [56, 85]\nGenerated Node #0,3,1: 65:[56, 85] Operation: 35+50=85\nExploring Operation: 50-35=15, Resulting Numbers: [56, 15]\nGenerated Node #0,3,2: 65:[56, 15] Operation: 50-35=15\nExploring Operation: 56-35=21, Resulting Numbers: [50, 21]\nGenerated Node #0,3,3: 65:[50, 21] Operation: 56-35=21\nExploring Operation: 35+56=91, Resulting Numbers: [50, 91]\nGenerated Node #0,3,4: 65:[50, 91] Operation: 35+56=91\nMoving to Node #0,0\nCurrent State: 65:[53, 50, 32], Operations: ['35-3=32']\nExploring Operation: 50-32=18, Resulting Numbers: [53, 18]\nGenerated Node #0,0,0: 65:[53, 18] Operation: 50-32=18\nExploring Operation: 53+50=103, Resulting Numbers: [32, 103]\nGenerated Node #0,0,1: 65:[32, 103] Operation: 53+50=103\nExploring Operation: 53+32=85, Resulting Numbers: [50, 85]\nGenerated Node #0,0,2: 65:[50, 85] Operation: 53+32=85\nExploring Operation: 53-32=21, Resulting Numbers: [50, 21]\nGenerated Node #0,0,3: 65:[50, 21] Operation: 53-32=21\nExploring Operation: 50+32=82, Resulting Numbers: [53, 82]\nGenerated Node #0,0,4: 65:[53, 82] Operation: 50+32=82\nMoving to Node #0,2\nCurrent State: 65:[35, 50, 50], Operations: ['53-3=50']\nExploring Operation: 50-35=15, Resulting Numbers: [50, 15]\nGenerated Node #0,2,0: 65:[50, 15] Operation: 50-35=15\nExploring Operation: 35+50=85, Resulting Numbers: [50, 85]\nGenerated Node #0,2,1: 65:[50, 85] Operation: 35+50=85\nExploring Operation: 50-35=15, Resulting Numbers: [50, 15]\nGenerated Node #0,2,2: 65:[50, 15] Operation: 50-35=15\nExploring Operation: 50+50=100, Resulting Numbers: [35, 100]\nGenerated Node #0,2,3: 65:[35, 100] Operation: 50+50=100\nExploring Operation: 35+50=85, Resulting Numbers: [50, 85]\nGenerated Node #0,2,4: 65:[50, 85] Operation: 35+50=85\nMoving to Node #0,3,1\nCurrent State: 65:[56, 85], Operations: ['53+3=56', '35+50=85']\nExploring Operation: 56*85=4760, Resulting Numbers: [4760]\n4760,65 unequal: No Solution\nExploring Operation: 85-56=29, Resulting Numbers: [29]\n29,65 unequal: No Solution\nExploring Operation: 56+85=141, Resulting Numbers: [141]\n141,65 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 65:[53, 82], Operations: ['35-3=32', '50+32=82']\nExploring Operation: 53+82=135, Resulting Numbers: [135]\n135,65 unequal: No Solution\nExploring Operation: 82-53=29, Resulting Numbers: [29]\n29,65 unequal: No Solution\nExploring Operation: 53*82=4346, Resulting Numbers: [4346]\n4346,65 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 65:[53, 88], Operations: ['3+50=53', '35+53=88']\nExploring Operation: 53+88=141, Resulting Numbers: [141]\n141,65 unequal: No Solution\nExploring Operation: 53*88=4664, Resulting Numbers: [4664]\n4664,65 unequal: No Solution\nExploring Operation: 88-53=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 65:[53, 88], Operations: ['3+50=53', '53+35=88']\nExploring Operation: 53+88=141, Resulting Numbers: [141]\n141,65 unequal: No Solution\nExploring Operation: 88-53=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nExploring Operation: 53*88=4664, Resulting Numbers: [4664]\n4664,65 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 65:[50, 85], Operations: ['53-3=50', '35+50=85']\nExploring Operation: 50*85=4250, Resulting Numbers: [4250]\n4250,65 unequal: No Solution\nExploring Operation: 85-50=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nExploring Operation: 50+85=135, Resulting Numbers: [135]\n135,65 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 65:[50, 85], Operations: ['53-3=50', '35+50=85']\nExploring Operation: 50+85=135, Resulting Numbers: [135]\n135,65 unequal: No Solution\nExploring Operation: 85-50=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nExploring Operation: 50*85=4250, Resulting Numbers: [4250]\n4250,65 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 65:[53, 88], Operations: ['3+35=38', '50+38=88']\nExploring Operation: 53+88=141, Resulting Numbers: [141]\n141,65 unequal: No Solution\nExploring Operation: 53*88=4664, Resulting Numbers: [4664]\n4664,65 unequal: No Solution\nExploring Operation: 88-53=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 65:[50, 85], Operations: ['35-3=32', '53+32=85']\nExploring Operation: 85-50=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nExploring Operation: 50*85=4250, Resulting Numbers: [4250]\n4250,65 unequal: No Solution\nExploring Operation: 50+85=135, Resulting Numbers: [135]\n135,65 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 65:[50, 91], Operations: ['53+3=56', '35+56=91']\nExploring Operation: 91-50=41, Resulting Numbers: [41]\n41,65 unequal: No Solution\nExploring Operation: 50+91=141, Resulting Numbers: [141]\n141,65 unequal: No Solution\nExploring Operation: 50*91=4550, Resulting Numbers: [4550]\n4550,65 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 65:[50, 91], Operations: ['3+35=38', '53+38=91']\nExploring Operation: 91-50=41, Resulting Numbers: [41]\n41,65 unequal: No Solution\nExploring Operation: 50*91=4550, Resulting Numbers: [4550]\n4550,65 unequal: No Solution\nExploring Operation: 50+91=141, Resulting Numbers: [141]\n141,65 unequal: No Solution\nMoving to Node #0,3,4,0\nCurrent State: 65:[41], Operations: ['53+3=56', '35+56=91', '91-50=41']\nMoving to Node #0,1,3,0\nCurrent State: 65:[41], Operations: ['3+35=38', '53+38=91', '91-50=41']\nMoving to Node #0,3,2\nCurrent State: 65:[56, 15], Operations: ['53+3=56', '50-35=15']\nExploring Operation: 56*15=840, Resulting Numbers: [840]\n840,65 unequal: No Solution\nExploring Operation: 56+15=71, Resulting Numbers: [71]\n71,65 unequal: No Solution\nExploring Operation: 56-15=41, Resulting Numbers: [41]\n41,65 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 65:[50, 21], Operations: ['53+3=56', '56-35=21']\nExploring Operation: 50-21=29, Resulting Numbers: [29]\n29,65 unequal: No Solution\nExploring Operation: 50*21=1050, Resulting Numbers: [1050]\n1050,65 unequal: No Solution\nExploring Operation: 50+21=71, Resulting Numbers: [71]\n71,65 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 65:[53, 18], Operations: ['3+50=53', '53-35=18']\nExploring Operation: 53*18=954, Resulting Numbers: [954]\n954,65 unequal: No Solution\nExploring Operation: 53+18=71, Resulting Numbers: [71]\n71,65 unequal: No Solution\nExploring Operation: 53-18=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nMoving to Node #0,3,2,0\nCurrent State: 65:[71], Operations: ['53+3=56', '50-35=15', '56+15=71']\nMoving to Node #0,3,3,0\nCurrent State: 65:[71], Operations: ['53+3=56', '56-35=21', '50+21=71']\nMoving to Node #0,4,3,0\nCurrent State: 65:[71], Operations: ['3+50=53', '53-35=18', '53+18=71']\nMoving to Node #0,3,2,0\nCurrent State: 65:[41], Operations: ['53+3=56', '50-35=15', '56-15=41']\nMoving to Node #0,0,3\nCurrent State: 65:[50, 21], Operations: ['35-3=32', '53-32=21']\nExploring Operation: 50+21=71, Resulting Numbers: [71]\n71,65 unequal: No Solution\nExploring Operation: 50*21=1050, Resulting Numbers: [1050]\n1050,65 unequal: No Solution\nExploring Operation: 50-21=29, Resulting Numbers: [29]\n29,65 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 65:[71], Operations: ['35-3=32', '53-32=21', '50+21=71']\nMoving to Node #0,0,0\nCurrent State: 65:[53, 18], Operations: ['35-3=32', '50-32=18']\nExploring Operation: 53-18=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nExploring Operation: 53*18=954, Resulting Numbers: [954]\n954,65 unequal: No Solution\nExploring Operation: 53+18=71, Resulting Numbers: [71]\n71,65 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 65:[53, 18], Operations: ['3+50=53', '53-35=18']\nExploring Operation: 53*18=954, Resulting Numbers: [954]\n954,65 unequal: No Solution\nExploring Operation: 53-18=35, Resulting Numbers: [35]\n35,65 unequal: No Solution\nExploring Operation: 53+18=71, Resulting Numbers: [71]\n71,65 unequal: No Solution\nMoving to Node #0,4,4,0\nCurrent State: 65:[35], Operations: ['3+50=53', '53+35=88', '88-53=35']\nMoving to Node #0,2,4,0\nCurrent State: 65:[35], Operations: ['53-3=50', '35+50=85', '85-50=35']\nMoving to Node #0,0,0,0\nCurrent State: 65:[71], Operations: ['35-3=32', '50-32=18', '53+18=71']\nMoving to Node #0,4,2,0\nCurrent State: 65:[71], Operations: ['3+50=53', '53-35=18', '53+18=71']\nMoving to Node #0,4,3,0\nCurrent State: 65:[35], Operations: ['3+50=53', '53-35=18', '53-18=35']\nMoving to Node #0,4,0,0\nCurrent State: 65:[35], Operations: ['3+50=53', '35+53=88', '88-53=35']\nMoving to Node #0,0,2,0\nCurrent State: 65:[35], Operations: ['35-3=32', '53+32=85', '85-50=35']\nMoving to Node #0,0,0,0\nCurrent State: 65:[35], Operations: ['35-3=32', '50-32=18', '53-18=35']\nMoving to Node #0,4,2,0\nCurrent State: 65:[35], Operations: ['3+50=53', '53-35=18', '53-18=35']\nMoving to Node #0,1,0,0\nCurrent State: 65:[35], Operations: ['3+35=38', '50+38=88', '88-53=35']\nMoving to Node #0,2,1,0\nCurrent State: 65:[35], Operations: ['53-3=50', '35+50=85', '85-50=35']\nMoving to Node #0,1,2\nCurrent State: 65:[53, 12], Operations: ['3+35=38', '50-38=12']\nExploring Operation: 53+12=65, Resulting Numbers: [65]\n65,65 equal: Goal Reached\n", "role": "assistant" } ]
[ 65, 7, 31, 16 ]
78
[ "65-31=34", "7*16=112", "112-34=78" ]
Current State: 78:[65, 7, 31, 16], Operations: [] Exploring Operation: 65-31=34, Resulting Numbers: [7, 16, 34] Generated Node #0,0: 78:[7, 16, 34] Operation: 65-31=34 Moving to Node #0,0 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 34-7=27, Resulting Numbers: [16, 27] Generated Node #0,0,0: 78:[16, 27] Operation: 34-7=27 Moving to Node #0,0,0 Current State: 78:[16, 27], Operations: ['65-31=34', '34-7=27'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,78 unequal: No Solution Moving to Node #0,0,0 Current State: 78:[16, 27], Operations: ['65-31=34', '34-7=27'] Exploring Operation: 16+27=43, Resulting Numbers: [43] 43,78 unequal: No Solution Moving to Node #0,0 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 7+34=41, Resulting Numbers: [16, 41] Generated Node #0,0,1: 78:[16, 41] Operation: 7+34=41 Moving to Node #0,0,1 Current State: 78:[16, 41], Operations: ['65-31=34', '7+34=41'] Exploring Operation: 41-16=25, Resulting Numbers: [25] 25,78 unequal: No Solution Moving to Node #0,0,1 Current State: 78:[16, 41], Operations: ['65-31=34', '7+34=41'] Exploring Operation: 16+41=57, Resulting Numbers: [57] 57,78 unequal: No Solution Moving to Node #0,0 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 34-16=18, Resulting Numbers: [7, 18] Generated Node #0,0,2: 78:[7, 18] Operation: 34-16=18 Moving to Node #0,0,2 Current State: 78:[7, 18], Operations: ['65-31=34', '34-16=18'] Exploring Operation: 7+18=25, Resulting Numbers: [25] 25,78 unequal: No Solution Moving to Node #0,0,2 Current State: 78:[7, 18], Operations: ['65-31=34', '34-16=18'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,78 unequal: No Solution Moving to Node #0,0,2 Current State: 78:[7, 18], Operations: ['65-31=34', '34-16=18'] Exploring Operation: 7*18=126, Resulting Numbers: [126] 126,78 unequal: No Solution Moving to Node #0,0 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 7+16=23, Resulting Numbers: [34, 23] Generated Node #0,0,3: 78:[34, 23] Operation: 7+16=23 Moving to Node #0,0,3 Current State: 78:[34, 23], Operations: ['65-31=34', '7+16=23'] Exploring Operation: 34-23=11, Resulting Numbers: [11] 11,78 unequal: No Solution Moving to Node #0,0,3 Current State: 78:[34, 23], Operations: ['65-31=34', '7+16=23'] Exploring Operation: 34+23=57, Resulting Numbers: [57] 57,78 unequal: No Solution Moving to Node #0,0 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 16-7=9, Resulting Numbers: [34, 9] Generated Node #0,0,4: 78:[34, 9] Operation: 16-7=9 Moving to Node #0,0,4 Current State: 78:[34, 9], Operations: ['65-31=34', '16-7=9'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,78 unequal: No Solution Moving to Node #0,0,4 Current State: 78:[34, 9], Operations: ['65-31=34', '16-7=9'] Exploring Operation: 34+9=43, Resulting Numbers: [43] 43,78 unequal: No Solution Moving to Node #0,0 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 16+34=50, Resulting Numbers: [7, 50] Generated Node #0,0,5: 78:[7, 50] Operation: 16+34=50 Moving to Node #0,0,5 Current State: 78:[7, 50], Operations: ['65-31=34', '16+34=50'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,78 unequal: No Solution Moving to Node #0,0,5 Current State: 78:[7, 50], Operations: ['65-31=34', '16+34=50'] Exploring Operation: 7+50=57, Resulting Numbers: [57] 57,78 unequal: No Solution Moving to Node #0,0 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 7*16=112, Resulting Numbers: [34, 112] Generated Node #0,0,6: 78:[34, 112] Operation: 7*16=112 Moving to Node #0,0,6 Current State: 78:[34, 112], Operations: ['65-31=34', '7*16=112'] Exploring Operation: 112-34=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
0.980035
dfs
Current State: 78:[65, 7, 31, 16], Operations: [] Exploring Operation: 65-31=34, Resulting Numbers: [7, 16, 34] Generated Node #2: [7, 16, 34] from Operation: 65-31=34 Current State: 78:[7, 16, 34], Operations: ['65-31=34'] Exploring Operation: 7*16=112, Resulting Numbers: [34, 112] Generated Node #3: [34, 112] from Operation: 7*16=112 Current State: 78:[34, 112], Operations: ['65-31=34', '7*16=112'] Exploring Operation: 112-34=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
mult_heuristic
[ { "content": "Make 78 with the numbers [65, 7, 31, 16] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 78:[65, 7, 31, 16], Operations: []\nExploring Operation: 65-31=34, Resulting Numbers: [7, 16, 34]\nGenerated Node #0,0: 78:[7, 16, 34] Operation: 65-31=34\nMoving to Node #0,0\nCurrent State: 78:[7, 16, 34], Operations: ['65-31=34']\nExploring Operation: 34-7=27, Resulting Numbers: [16, 27]\nGenerated Node #0,0,0: 78:[16, 27] Operation: 34-7=27\nMoving to Node #0,0,0\nCurrent State: 78:[16, 27], Operations: ['65-31=34', '34-7=27']\nExploring Operation: 27-16=11, Resulting Numbers: [11]\n11,78 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 78:[16, 27], Operations: ['65-31=34', '34-7=27']\nExploring Operation: 16+27=43, Resulting Numbers: [43]\n43,78 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 78:[7, 16, 34], Operations: ['65-31=34']\nExploring Operation: 7+34=41, Resulting Numbers: [16, 41]\nGenerated Node #0,0,1: 78:[16, 41] Operation: 7+34=41\nMoving to Node #0,0,1\nCurrent State: 78:[16, 41], Operations: ['65-31=34', '7+34=41']\nExploring Operation: 41-16=25, Resulting Numbers: [25]\n25,78 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 78:[16, 41], Operations: ['65-31=34', '7+34=41']\nExploring Operation: 16+41=57, Resulting Numbers: [57]\n57,78 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 78:[7, 16, 34], Operations: ['65-31=34']\nExploring Operation: 34-16=18, Resulting Numbers: [7, 18]\nGenerated Node #0,0,2: 78:[7, 18] Operation: 34-16=18\nMoving to Node #0,0,2\nCurrent State: 78:[7, 18], Operations: ['65-31=34', '34-16=18']\nExploring Operation: 7+18=25, Resulting Numbers: [25]\n25,78 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 78:[7, 18], Operations: ['65-31=34', '34-16=18']\nExploring Operation: 18-7=11, Resulting Numbers: [11]\n11,78 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 78:[7, 18], Operations: ['65-31=34', '34-16=18']\nExploring Operation: 7*18=126, Resulting Numbers: [126]\n126,78 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 78:[7, 16, 34], Operations: ['65-31=34']\nExploring Operation: 7+16=23, Resulting Numbers: [34, 23]\nGenerated Node #0,0,3: 78:[34, 23] Operation: 7+16=23\nMoving to Node #0,0,3\nCurrent State: 78:[34, 23], Operations: ['65-31=34', '7+16=23']\nExploring Operation: 34-23=11, Resulting Numbers: [11]\n11,78 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 78:[34, 23], Operations: ['65-31=34', '7+16=23']\nExploring Operation: 34+23=57, Resulting Numbers: [57]\n57,78 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 78:[7, 16, 34], Operations: ['65-31=34']\nExploring Operation: 16-7=9, Resulting Numbers: [34, 9]\nGenerated Node #0,0,4: 78:[34, 9] Operation: 16-7=9\nMoving to Node #0,0,4\nCurrent State: 78:[34, 9], Operations: ['65-31=34', '16-7=9']\nExploring Operation: 34-9=25, Resulting Numbers: [25]\n25,78 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 78:[34, 9], Operations: ['65-31=34', '16-7=9']\nExploring Operation: 34+9=43, Resulting Numbers: [43]\n43,78 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 78:[7, 16, 34], Operations: ['65-31=34']\nExploring Operation: 16+34=50, Resulting Numbers: [7, 50]\nGenerated Node #0,0,5: 78:[7, 50] Operation: 16+34=50\nMoving to Node #0,0,5\nCurrent State: 78:[7, 50], Operations: ['65-31=34', '16+34=50']\nExploring Operation: 50-7=43, Resulting Numbers: [43]\n43,78 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 78:[7, 50], Operations: ['65-31=34', '16+34=50']\nExploring Operation: 7+50=57, Resulting Numbers: [57]\n57,78 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 78:[7, 16, 34], Operations: ['65-31=34']\nExploring Operation: 7*16=112, Resulting Numbers: [34, 112]\nGenerated Node #0,0,6: 78:[34, 112] Operation: 7*16=112\nMoving to Node #0,0,6\nCurrent State: 78:[34, 112], Operations: ['65-31=34', '7*16=112']\nExploring Operation: 112-34=78, Resulting Numbers: [78]\n78,78 equal: Goal Reached\n", "role": "assistant" } ]
[ 58, 56, 40, 32 ]
45
[ "58*32=1856", "1856-56=1800", "1800/40=45" ]
Current State: 45:[58, 56, 40, 32], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [40, 32, 2] Generated Node #0,0: 45:[40, 32, 2] Operation: 58-56=2 Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 40-32=8, Resulting Numbers: [2, 8] Generated Node #0,0,0: 45:[2, 8] Operation: 40-32=8 Moving to Node #0,0,0 Current State: 45:[2, 8], Operations: ['58-56=2', '40-32=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[2, 8], Operations: ['58-56=2', '40-32=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[2, 8], Operations: ['58-56=2', '40-32=8'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[2, 8], Operations: ['58-56=2', '40-32=8'] Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 32/2=16, Resulting Numbers: [40, 16] Generated Node #0,0,1: 45:[40, 16] Operation: 32/2=16 Moving to Node #0,0,1 Current State: 45:[40, 16], Operations: ['58-56=2', '32/2=16'] Exploring Operation: 40-16=24, Resulting Numbers: [24] 24,45 unequal: No Solution Moving to Node #0,0,1 Current State: 45:[40, 16], Operations: ['58-56=2', '32/2=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 40+2=42, Resulting Numbers: [32, 42] Generated Node #0,0,2: 45:[32, 42] Operation: 40+2=42 Moving to Node #0,0,2 Current State: 45:[32, 42], Operations: ['58-56=2', '40+2=42'] Exploring Operation: 42-32=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[32, 42], Operations: ['58-56=2', '40+2=42'] Exploring Operation: 32+42=74, Resulting Numbers: [74] 74,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 32+2=34, Resulting Numbers: [40, 34] Generated Node #0,0,3: 45:[40, 34] Operation: 32+2=34 Moving to Node #0,0,3 Current State: 45:[40, 34], Operations: ['58-56=2', '32+2=34'] Exploring Operation: 40-34=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,0,3 Current State: 45:[40, 34], Operations: ['58-56=2', '32+2=34'] Exploring Operation: 40+34=74, Resulting Numbers: [74] 74,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 40/2=20, Resulting Numbers: [32, 20] Generated Node #0,0,4: 45:[32, 20] Operation: 40/2=20 Moving to Node #0,0,4 Current State: 45:[32, 20], Operations: ['58-56=2', '40/2=20'] Exploring Operation: 32-20=12, Resulting Numbers: [12] 12,45 unequal: No Solution Moving to Node #0,0,4 Current State: 45:[32, 20], Operations: ['58-56=2', '40/2=20'] Exploring Operation: 32+20=52, Resulting Numbers: [52] 52,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 40-2=38, Resulting Numbers: [32, 38] Generated Node #0,0,5: 45:[32, 38] Operation: 40-2=38 Moving to Node #0,0,5 Current State: 45:[32, 38], Operations: ['58-56=2', '40-2=38'] Exploring Operation: 38-32=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,0,5 Current State: 45:[32, 38], Operations: ['58-56=2', '40-2=38'] Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 32-2=30, Resulting Numbers: [40, 30] Generated Node #0,0,6: 45:[40, 30] Operation: 32-2=30 Moving to Node #0,0,6 Current State: 45:[40, 30], Operations: ['58-56=2', '32-2=30'] Exploring Operation: 40-30=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,0,6 Current State: 45:[40, 30], Operations: ['58-56=2', '32-2=30'] Exploring Operation: 40+30=70, Resulting Numbers: [70] 70,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 32*2=64, Resulting Numbers: [40, 64] Generated Node #0,0,7: 45:[40, 64] Operation: 32*2=64 Moving to Node #0,0,7 Current State: 45:[40, 64], Operations: ['58-56=2', '32*2=64'] Exploring Operation: 64-40=24, Resulting Numbers: [24] 24,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[40, 32, 2], Operations: ['58-56=2'] Exploring Operation: 40+32=72, Resulting Numbers: [2, 72] Generated Node #0,0,8: 45:[2, 72] Operation: 40+32=72 Moving to Node #0,0,8 Current State: 45:[2, 72], Operations: ['58-56=2', '40+32=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,45 unequal: No Solution Moving to Node #0,0,8 Current State: 45:[2, 72], Operations: ['58-56=2', '40+32=72'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,45 unequal: No Solution Moving to Node #0,0,8 Current State: 45:[2, 72], Operations: ['58-56=2', '40+32=72'] Exploring Operation: 2+72=74, Resulting Numbers: [74] 74,45 unequal: No Solution Moving to Node #0 Current State: 45:[58, 56, 40, 32], Operations: [] Exploring Operation: 40-32=8, Resulting Numbers: [58, 56, 8] Generated Node #0,1: 45:[58, 56, 8] Operation: 40-32=8 Moving to Node #0,1 Current State: 45:[58, 56, 8], Operations: ['40-32=8'] Exploring Operation: 58-56=2, Resulting Numbers: [8, 2] Generated Node #0,1,0: 45:[8, 2] Operation: 58-56=2 Moving to Node #0,1,0 Current State: 45:[8, 2], Operations: ['40-32=8', '58-56=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[8, 2], Operations: ['40-32=8', '58-56=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[8, 2], Operations: ['40-32=8', '58-56=2'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[8, 2], Operations: ['40-32=8', '58-56=2'] Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[58, 56, 8], Operations: ['40-32=8'] Exploring Operation: 56/8=7, Resulting Numbers: [58, 7] Generated Node #0,1,1: 45:[58, 7] Operation: 56/8=7 Moving to Node #0,1,1 Current State: 45:[58, 7], Operations: ['40-32=8', '56/8=7'] Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,45 unequal: No Solution Moving to Node #0,1,1 Current State: 45:[58, 7], Operations: ['40-32=8', '56/8=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[58, 56, 8], Operations: ['40-32=8'] Exploring Operation: 58-8=50, Resulting Numbers: [56, 50] Generated Node #0,1,2: 45:[56, 50] Operation: 58-8=50 Moving to Node #0,1,2 Current State: 45:[56, 50], Operations: ['40-32=8', '58-8=50'] Exploring Operation: 56-50=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[58, 56, 8], Operations: ['40-32=8'] Exploring Operation: 56-8=48, Resulting Numbers: [58, 48] Generated Node #0,1,3: 45:[58, 48] Operation: 56-8=48 Moving to Node #0,1,3 Current State: 45:[58, 48], Operations: ['40-32=8', '56-8=48'] Exploring Operation: 58-48=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[58, 56, 8], Operations: ['40-32=8'] Exploring Operation: 58+8=66, Resulting Numbers: [56, 66] Generated Node #0,1,4: 45:[56, 66] Operation: 58+8=66 Moving to Node #0,1,4 Current State: 45:[56, 66], Operations: ['40-32=8', '58+8=66'] Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[58, 56, 8], Operations: ['40-32=8'] Exploring Operation: 56+8=64, Resulting Numbers: [58, 64] Generated Node #0,1,5: 45:[58, 64] Operation: 56+8=64 Moving to Node #0,1,5 Current State: 45:[58, 64], Operations: ['40-32=8', '56+8=64'] Exploring Operation: 64-58=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0 Current State: 45:[58, 56, 40, 32], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [56, 32, 18] Generated Node #0,2: 45:[56, 32, 18] Operation: 58-40=18 Moving to Node #0,2 Current State: 45:[56, 32, 18], Operations: ['58-40=18'] Exploring Operation: 56-32=24, Resulting Numbers: [18, 24] Generated Node #0,2,0: 45:[18, 24] Operation: 56-32=24 Moving to Node #0,2,0 Current State: 45:[18, 24], Operations: ['58-40=18', '56-32=24'] Exploring Operation: 24-18=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,2,0 Current State: 45:[18, 24], Operations: ['58-40=18', '56-32=24'] Exploring Operation: 18+24=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[56, 32, 18], Operations: ['58-40=18'] Exploring Operation: 32-18=14, Resulting Numbers: [56, 14] Generated Node #0,2,1: 45:[56, 14] Operation: 32-18=14 Moving to Node #0,2,1 Current State: 45:[56, 14], Operations: ['58-40=18', '32-18=14'] Exploring Operation: 56/14=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[56, 14], Operations: ['58-40=18', '32-18=14'] Exploring Operation: 56-14=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[56, 14], Operations: ['58-40=18', '32-18=14'] Exploring Operation: 56+14=70, Resulting Numbers: [70] 70,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[56, 32, 18], Operations: ['58-40=18'] Exploring Operation: 32+18=50, Resulting Numbers: [56, 50] Generated Node #0,2,2: 45:[56, 50] Operation: 32+18=50 Moving to Node #0,2,2 Current State: 45:[56, 50], Operations: ['58-40=18', '32+18=50'] Exploring Operation: 56-50=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[56, 32, 18], Operations: ['58-40=18'] Exploring Operation: 56-18=38, Resulting Numbers: [32, 38] Generated Node #0,2,3: 45:[32, 38] Operation: 56-18=38 Moving to Node #0,2,3 Current State: 45:[32, 38], Operations: ['58-40=18', '56-18=38'] Exploring Operation: 38-32=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,2,3 Current State: 45:[32, 38], Operations: ['58-40=18', '56-18=38'] Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[56, 32, 18], Operations: ['58-40=18'] Exploring Operation: 56+18=74, Resulting Numbers: [32, 74] Generated Node #0,2,4: 45:[32, 74] Operation: 56+18=74 Moving to Node #0,2,4 Current State: 45:[32, 74], Operations: ['58-40=18', '56+18=74'] Exploring Operation: 74-32=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0 Current State: 45:[58, 56, 40, 32], Operations: [] Exploring Operation: 58-32=26, Resulting Numbers: [56, 40, 26] Generated Node #0,3: 45:[56, 40, 26] Operation: 58-32=26 Moving to Node #0,3 Current State: 45:[56, 40, 26], Operations: ['58-32=26'] Exploring Operation: 56-40=16, Resulting Numbers: [26, 16] Generated Node #0,3,0: 45:[26, 16] Operation: 56-40=16 Moving to Node #0,3,0 Current State: 45:[26, 16], Operations: ['58-32=26', '56-40=16'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,3,0 Current State: 45:[26, 16], Operations: ['58-32=26', '56-40=16'] Exploring Operation: 26+16=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[56, 40, 26], Operations: ['58-32=26'] Exploring Operation: 40-26=14, Resulting Numbers: [56, 14] Generated Node #0,3,1: 45:[56, 14] Operation: 40-26=14 Moving to Node #0,3,1 Current State: 45:[56, 14], Operations: ['58-32=26', '40-26=14'] Exploring Operation: 56/14=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,3,1 Current State: 45:[56, 14], Operations: ['58-32=26', '40-26=14'] Exploring Operation: 56-14=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,3,1 Current State: 45:[56, 14], Operations: ['58-32=26', '40-26=14'] Exploring Operation: 56+14=70, Resulting Numbers: [70] 70,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[56, 40, 26], Operations: ['58-32=26'] Exploring Operation: 56-26=30, Resulting Numbers: [40, 30] Generated Node #0,3,2: 45:[40, 30] Operation: 56-26=30 Moving to Node #0,3,2 Current State: 45:[40, 30], Operations: ['58-32=26', '56-26=30'] Exploring Operation: 40-30=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,3,2 Current State: 45:[40, 30], Operations: ['58-32=26', '56-26=30'] Exploring Operation: 40+30=70, Resulting Numbers: [70] 70,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[56, 40, 26], Operations: ['58-32=26'] Exploring Operation: 40+26=66, Resulting Numbers: [56, 66] Generated Node #0,3,3: 45:[56, 66] Operation: 40+26=66 Moving to Node #0,3,3 Current State: 45:[56, 66], Operations: ['58-32=26', '40+26=66'] Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[56, 40, 26], Operations: ['58-32=26'] Exploring Operation: 56+26=82, Resulting Numbers: [40, 82] Generated Node #0,3,4: 45:[40, 82] Operation: 56+26=82 Moving to Node #0,3,4 Current State: 45:[40, 82], Operations: ['58-32=26', '56+26=82'] Exploring Operation: 82-40=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0 Current State: 45:[58, 56, 40, 32], Operations: [] Exploring Operation: 56-40=16, Resulting Numbers: [58, 32, 16] Generated Node #0,4: 45:[58, 32, 16] Operation: 56-40=16 Moving to Node #0,4 Current State: 45:[58, 32, 16], Operations: ['56-40=16'] Exploring Operation: 58-32=26, Resulting Numbers: [16, 26] Generated Node #0,4,0: 45:[16, 26] Operation: 58-32=26 Moving to Node #0,4,0 Current State: 45:[16, 26], Operations: ['56-40=16', '58-32=26'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,4,0 Current State: 45:[16, 26], Operations: ['56-40=16', '58-32=26'] Exploring Operation: 16+26=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[58, 32, 16], Operations: ['56-40=16'] Exploring Operation: 32-16=16, Resulting Numbers: [58, 16] Generated Node #0,4,1: 45:[58, 16] Operation: 32-16=16 Moving to Node #0,4,1 Current State: 45:[58, 16], Operations: ['56-40=16', '32-16=16'] Exploring Operation: 58-16=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,4,1 Current State: 45:[58, 16], Operations: ['56-40=16', '32-16=16'] Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[58, 32, 16], Operations: ['56-40=16'] Exploring Operation: 32/16=2, Resulting Numbers: [58, 2] Generated Node #0,4,2: 45:[58, 2] Operation: 32/16=2 Moving to Node #0,4,2 Current State: 45:[58, 2], Operations: ['56-40=16', '32/16=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,45 unequal: No Solution Moving to Node #0,4,2 Current State: 45:[58, 2], Operations: ['56-40=16', '32/16=2'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,45 unequal: No Solution Moving to Node #0,4,2 Current State: 45:[58, 2], Operations: ['56-40=16', '32/16=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[58, 32, 16], Operations: ['56-40=16'] Exploring Operation: 58-16=42, Resulting Numbers: [32, 42] Generated Node #0,4,3: 45:[32, 42] Operation: 58-16=42 Moving to Node #0,4,3 Current State: 45:[32, 42], Operations: ['56-40=16', '58-16=42'] Exploring Operation: 42-32=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,4,3 Current State: 45:[32, 42], Operations: ['56-40=16', '58-16=42'] Exploring Operation: 32+42=74, Resulting Numbers: [74] 74,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[58, 32, 16], Operations: ['56-40=16'] Exploring Operation: 32+16=48, Resulting Numbers: [58, 48] Generated Node #0,4,4: 45:[58, 48] Operation: 32+16=48 Moving to Node #0,4,4 Current State: 45:[58, 48], Operations: ['56-40=16', '32+16=48'] Exploring Operation: 58-48=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[58, 32, 16], Operations: ['56-40=16'] Exploring Operation: 58+16=74, Resulting Numbers: [32, 74] Generated Node #0,4,5: 45:[32, 74] Operation: 58+16=74 Moving to Node #0,4,5 Current State: 45:[32, 74], Operations: ['56-40=16', '58+16=74'] Exploring Operation: 74-32=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0 Current State: 45:[58, 56, 40, 32], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [58, 40, 24] Generated Node #0,5: 45:[58, 40, 24] Operation: 56-32=24 Moving to Node #0,5 Current State: 45:[58, 40, 24], Operations: ['56-32=24'] Exploring Operation: 58-40=18, Resulting Numbers: [24, 18] Generated Node #0,5,0: 45:[24, 18] Operation: 58-40=18 Moving to Node #0,5,0 Current State: 45:[24, 18], Operations: ['56-32=24', '58-40=18'] Exploring Operation: 24-18=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,5,0 Current State: 45:[24, 18], Operations: ['56-32=24', '58-40=18'] Exploring Operation: 24+18=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[58, 40, 24], Operations: ['56-32=24'] Exploring Operation: 40-24=16, Resulting Numbers: [58, 16] Generated Node #0,5,1: 45:[58, 16] Operation: 40-24=16 Moving to Node #0,5,1 Current State: 45:[58, 16], Operations: ['56-32=24', '40-24=16'] Exploring Operation: 58-16=42, Resulting Numbers: [42] 42,45 unequal: No Solution Moving to Node #0,5,1 Current State: 45:[58, 16], Operations: ['56-32=24', '40-24=16'] Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[58, 40, 24], Operations: ['56-32=24'] Exploring Operation: 58-24=34, Resulting Numbers: [40, 34] Generated Node #0,5,2: 45:[40, 34] Operation: 58-24=34 Moving to Node #0,5,2 Current State: 45:[40, 34], Operations: ['56-32=24', '58-24=34'] Exploring Operation: 40-34=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,5,2 Current State: 45:[40, 34], Operations: ['56-32=24', '58-24=34'] Exploring Operation: 40+34=74, Resulting Numbers: [74] 74,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[58, 40, 24], Operations: ['56-32=24'] Exploring Operation: 40+24=64, Resulting Numbers: [58, 64] Generated Node #0,5,3: 45:[58, 64] Operation: 40+24=64 Moving to Node #0,5,3 Current State: 45:[58, 64], Operations: ['56-32=24', '40+24=64'] Exploring Operation: 64-58=6, Resulting Numbers: [6] 6,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[58, 40, 24], Operations: ['56-32=24'] Exploring Operation: 58+24=82, Resulting Numbers: [40, 82] Generated Node #0,5,4: 45:[40, 82] Operation: 58+24=82 Moving to Node #0,5,4 Current State: 45:[40, 82], Operations: ['56-32=24', '58+24=82'] Exploring Operation: 82-40=42, Resulting Numbers: [42] 42,45 unequal: No Solution
0
dfs
Current State: 45:[58, 56, 40, 32], Operations: [] Exploring Operation: 58*32=1856, Resulting Numbers: [56, 40, 1856] Generated Node #2: [56, 40, 1856] from Operation: 58*32=1856 Current State: 45:[56, 40, 1856], Operations: ['58*32=1856'] Exploring Operation: 1856-56=1800, Resulting Numbers: [40, 1800] Generated Node #3: [40, 1800] from Operation: 1856-56=1800 Current State: 45:[40, 1800], Operations: ['58*32=1856', '1856-56=1800'] Exploring Operation: 1800/40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
mult_heuristic
[ { "content": "Make 45 with the numbers [58, 56, 40, 32] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 45:[58, 56, 40, 32], Operations: []\nExploring Operation: 58-56=2, Resulting Numbers: [40, 32, 2]\nGenerated Node #0,0: 45:[40, 32, 2] Operation: 58-56=2\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 40-32=8, Resulting Numbers: [2, 8]\nGenerated Node #0,0,0: 45:[2, 8] Operation: 40-32=8\nMoving to Node #0,0,0\nCurrent State: 45:[2, 8], Operations: ['58-56=2', '40-32=8']\nExploring Operation: 2+8=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 45:[2, 8], Operations: ['58-56=2', '40-32=8']\nExploring Operation: 2*8=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 45:[2, 8], Operations: ['58-56=2', '40-32=8']\nExploring Operation: 8-2=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 45:[2, 8], Operations: ['58-56=2', '40-32=8']\nExploring Operation: 8/2=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 32/2=16, Resulting Numbers: [40, 16]\nGenerated Node #0,0,1: 45:[40, 16] Operation: 32/2=16\nMoving to Node #0,0,1\nCurrent State: 45:[40, 16], Operations: ['58-56=2', '32/2=16']\nExploring Operation: 40-16=24, Resulting Numbers: [24]\n24,45 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 45:[40, 16], Operations: ['58-56=2', '32/2=16']\nExploring Operation: 40+16=56, Resulting Numbers: [56]\n56,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 40+2=42, Resulting Numbers: [32, 42]\nGenerated Node #0,0,2: 45:[32, 42] Operation: 40+2=42\nMoving to Node #0,0,2\nCurrent State: 45:[32, 42], Operations: ['58-56=2', '40+2=42']\nExploring Operation: 42-32=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 45:[32, 42], Operations: ['58-56=2', '40+2=42']\nExploring Operation: 32+42=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 32+2=34, Resulting Numbers: [40, 34]\nGenerated Node #0,0,3: 45:[40, 34] Operation: 32+2=34\nMoving to Node #0,0,3\nCurrent State: 45:[40, 34], Operations: ['58-56=2', '32+2=34']\nExploring Operation: 40-34=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 45:[40, 34], Operations: ['58-56=2', '32+2=34']\nExploring Operation: 40+34=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 40/2=20, Resulting Numbers: [32, 20]\nGenerated Node #0,0,4: 45:[32, 20] Operation: 40/2=20\nMoving to Node #0,0,4\nCurrent State: 45:[32, 20], Operations: ['58-56=2', '40/2=20']\nExploring Operation: 32-20=12, Resulting Numbers: [12]\n12,45 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 45:[32, 20], Operations: ['58-56=2', '40/2=20']\nExploring Operation: 32+20=52, Resulting Numbers: [52]\n52,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 40-2=38, Resulting Numbers: [32, 38]\nGenerated Node #0,0,5: 45:[32, 38] Operation: 40-2=38\nMoving to Node #0,0,5\nCurrent State: 45:[32, 38], Operations: ['58-56=2', '40-2=38']\nExploring Operation: 38-32=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 45:[32, 38], Operations: ['58-56=2', '40-2=38']\nExploring Operation: 32+38=70, Resulting Numbers: [70]\n70,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 32-2=30, Resulting Numbers: [40, 30]\nGenerated Node #0,0,6: 45:[40, 30] Operation: 32-2=30\nMoving to Node #0,0,6\nCurrent State: 45:[40, 30], Operations: ['58-56=2', '32-2=30']\nExploring Operation: 40-30=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 45:[40, 30], Operations: ['58-56=2', '32-2=30']\nExploring Operation: 40+30=70, Resulting Numbers: [70]\n70,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 32*2=64, Resulting Numbers: [40, 64]\nGenerated Node #0,0,7: 45:[40, 64] Operation: 32*2=64\nMoving to Node #0,0,7\nCurrent State: 45:[40, 64], Operations: ['58-56=2', '32*2=64']\nExploring Operation: 64-40=24, Resulting Numbers: [24]\n24,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[40, 32, 2], Operations: ['58-56=2']\nExploring Operation: 40+32=72, Resulting Numbers: [2, 72]\nGenerated Node #0,0,8: 45:[2, 72] Operation: 40+32=72\nMoving to Node #0,0,8\nCurrent State: 45:[2, 72], Operations: ['58-56=2', '40+32=72']\nExploring Operation: 72/2=36, Resulting Numbers: [36]\n36,45 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 45:[2, 72], Operations: ['58-56=2', '40+32=72']\nExploring Operation: 72-2=70, Resulting Numbers: [70]\n70,45 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 45:[2, 72], Operations: ['58-56=2', '40+32=72']\nExploring Operation: 2+72=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[58, 56, 40, 32], Operations: []\nExploring Operation: 40-32=8, Resulting Numbers: [58, 56, 8]\nGenerated Node #0,1: 45:[58, 56, 8] Operation: 40-32=8\nMoving to Node #0,1\nCurrent State: 45:[58, 56, 8], Operations: ['40-32=8']\nExploring Operation: 58-56=2, Resulting Numbers: [8, 2]\nGenerated Node #0,1,0: 45:[8, 2] Operation: 58-56=2\nMoving to Node #0,1,0\nCurrent State: 45:[8, 2], Operations: ['40-32=8', '58-56=2']\nExploring Operation: 8+2=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 45:[8, 2], Operations: ['40-32=8', '58-56=2']\nExploring Operation: 8*2=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 45:[8, 2], Operations: ['40-32=8', '58-56=2']\nExploring Operation: 8-2=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 45:[8, 2], Operations: ['40-32=8', '58-56=2']\nExploring Operation: 8/2=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[58, 56, 8], Operations: ['40-32=8']\nExploring Operation: 56/8=7, Resulting Numbers: [58, 7]\nGenerated Node #0,1,1: 45:[58, 7] Operation: 56/8=7\nMoving to Node #0,1,1\nCurrent State: 45:[58, 7], Operations: ['40-32=8', '56/8=7']\nExploring Operation: 58-7=51, Resulting Numbers: [51]\n51,45 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 45:[58, 7], Operations: ['40-32=8', '56/8=7']\nExploring Operation: 58+7=65, Resulting Numbers: [65]\n65,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[58, 56, 8], Operations: ['40-32=8']\nExploring Operation: 58-8=50, Resulting Numbers: [56, 50]\nGenerated Node #0,1,2: 45:[56, 50] Operation: 58-8=50\nMoving to Node #0,1,2\nCurrent State: 45:[56, 50], Operations: ['40-32=8', '58-8=50']\nExploring Operation: 56-50=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[58, 56, 8], Operations: ['40-32=8']\nExploring Operation: 56-8=48, Resulting Numbers: [58, 48]\nGenerated Node #0,1,3: 45:[58, 48] Operation: 56-8=48\nMoving to Node #0,1,3\nCurrent State: 45:[58, 48], Operations: ['40-32=8', '56-8=48']\nExploring Operation: 58-48=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[58, 56, 8], Operations: ['40-32=8']\nExploring Operation: 58+8=66, Resulting Numbers: [56, 66]\nGenerated Node #0,1,4: 45:[56, 66] Operation: 58+8=66\nMoving to Node #0,1,4\nCurrent State: 45:[56, 66], Operations: ['40-32=8', '58+8=66']\nExploring Operation: 66-56=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[58, 56, 8], Operations: ['40-32=8']\nExploring Operation: 56+8=64, Resulting Numbers: [58, 64]\nGenerated Node #0,1,5: 45:[58, 64] Operation: 56+8=64\nMoving to Node #0,1,5\nCurrent State: 45:[58, 64], Operations: ['40-32=8', '56+8=64']\nExploring Operation: 64-58=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[58, 56, 40, 32], Operations: []\nExploring Operation: 58-40=18, Resulting Numbers: [56, 32, 18]\nGenerated Node #0,2: 45:[56, 32, 18] Operation: 58-40=18\nMoving to Node #0,2\nCurrent State: 45:[56, 32, 18], Operations: ['58-40=18']\nExploring Operation: 56-32=24, Resulting Numbers: [18, 24]\nGenerated Node #0,2,0: 45:[18, 24] Operation: 56-32=24\nMoving to Node #0,2,0\nCurrent State: 45:[18, 24], Operations: ['58-40=18', '56-32=24']\nExploring Operation: 24-18=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 45:[18, 24], Operations: ['58-40=18', '56-32=24']\nExploring Operation: 18+24=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[56, 32, 18], Operations: ['58-40=18']\nExploring Operation: 32-18=14, Resulting Numbers: [56, 14]\nGenerated Node #0,2,1: 45:[56, 14] Operation: 32-18=14\nMoving to Node #0,2,1\nCurrent State: 45:[56, 14], Operations: ['58-40=18', '32-18=14']\nExploring Operation: 56/14=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 45:[56, 14], Operations: ['58-40=18', '32-18=14']\nExploring Operation: 56-14=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 45:[56, 14], Operations: ['58-40=18', '32-18=14']\nExploring Operation: 56+14=70, Resulting Numbers: [70]\n70,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[56, 32, 18], Operations: ['58-40=18']\nExploring Operation: 32+18=50, Resulting Numbers: [56, 50]\nGenerated Node #0,2,2: 45:[56, 50] Operation: 32+18=50\nMoving to Node #0,2,2\nCurrent State: 45:[56, 50], Operations: ['58-40=18', '32+18=50']\nExploring Operation: 56-50=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[56, 32, 18], Operations: ['58-40=18']\nExploring Operation: 56-18=38, Resulting Numbers: [32, 38]\nGenerated Node #0,2,3: 45:[32, 38] Operation: 56-18=38\nMoving to Node #0,2,3\nCurrent State: 45:[32, 38], Operations: ['58-40=18', '56-18=38']\nExploring Operation: 38-32=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 45:[32, 38], Operations: ['58-40=18', '56-18=38']\nExploring Operation: 32+38=70, Resulting Numbers: [70]\n70,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[56, 32, 18], Operations: ['58-40=18']\nExploring Operation: 56+18=74, Resulting Numbers: [32, 74]\nGenerated Node #0,2,4: 45:[32, 74] Operation: 56+18=74\nMoving to Node #0,2,4\nCurrent State: 45:[32, 74], Operations: ['58-40=18', '56+18=74']\nExploring Operation: 74-32=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[58, 56, 40, 32], Operations: []\nExploring Operation: 58-32=26, Resulting Numbers: [56, 40, 26]\nGenerated Node #0,3: 45:[56, 40, 26] Operation: 58-32=26\nMoving to Node #0,3\nCurrent State: 45:[56, 40, 26], Operations: ['58-32=26']\nExploring Operation: 56-40=16, Resulting Numbers: [26, 16]\nGenerated Node #0,3,0: 45:[26, 16] Operation: 56-40=16\nMoving to Node #0,3,0\nCurrent State: 45:[26, 16], Operations: ['58-32=26', '56-40=16']\nExploring Operation: 26-16=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 45:[26, 16], Operations: ['58-32=26', '56-40=16']\nExploring Operation: 26+16=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[56, 40, 26], Operations: ['58-32=26']\nExploring Operation: 40-26=14, Resulting Numbers: [56, 14]\nGenerated Node #0,3,1: 45:[56, 14] Operation: 40-26=14\nMoving to Node #0,3,1\nCurrent State: 45:[56, 14], Operations: ['58-32=26', '40-26=14']\nExploring Operation: 56/14=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 45:[56, 14], Operations: ['58-32=26', '40-26=14']\nExploring Operation: 56-14=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 45:[56, 14], Operations: ['58-32=26', '40-26=14']\nExploring Operation: 56+14=70, Resulting Numbers: [70]\n70,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[56, 40, 26], Operations: ['58-32=26']\nExploring Operation: 56-26=30, Resulting Numbers: [40, 30]\nGenerated Node #0,3,2: 45:[40, 30] Operation: 56-26=30\nMoving to Node #0,3,2\nCurrent State: 45:[40, 30], Operations: ['58-32=26', '56-26=30']\nExploring Operation: 40-30=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 45:[40, 30], Operations: ['58-32=26', '56-26=30']\nExploring Operation: 40+30=70, Resulting Numbers: [70]\n70,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[56, 40, 26], Operations: ['58-32=26']\nExploring Operation: 40+26=66, Resulting Numbers: [56, 66]\nGenerated Node #0,3,3: 45:[56, 66] Operation: 40+26=66\nMoving to Node #0,3,3\nCurrent State: 45:[56, 66], Operations: ['58-32=26', '40+26=66']\nExploring Operation: 66-56=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[56, 40, 26], Operations: ['58-32=26']\nExploring Operation: 56+26=82, Resulting Numbers: [40, 82]\nGenerated Node #0,3,4: 45:[40, 82] Operation: 56+26=82\nMoving to Node #0,3,4\nCurrent State: 45:[40, 82], Operations: ['58-32=26', '56+26=82']\nExploring Operation: 82-40=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[58, 56, 40, 32], Operations: []\nExploring Operation: 56-40=16, Resulting Numbers: [58, 32, 16]\nGenerated Node #0,4: 45:[58, 32, 16] Operation: 56-40=16\nMoving to Node #0,4\nCurrent State: 45:[58, 32, 16], Operations: ['56-40=16']\nExploring Operation: 58-32=26, Resulting Numbers: [16, 26]\nGenerated Node #0,4,0: 45:[16, 26] Operation: 58-32=26\nMoving to Node #0,4,0\nCurrent State: 45:[16, 26], Operations: ['56-40=16', '58-32=26']\nExploring Operation: 26-16=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 45:[16, 26], Operations: ['56-40=16', '58-32=26']\nExploring Operation: 16+26=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[58, 32, 16], Operations: ['56-40=16']\nExploring Operation: 32-16=16, Resulting Numbers: [58, 16]\nGenerated Node #0,4,1: 45:[58, 16] Operation: 32-16=16\nMoving to Node #0,4,1\nCurrent State: 45:[58, 16], Operations: ['56-40=16', '32-16=16']\nExploring Operation: 58-16=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 45:[58, 16], Operations: ['56-40=16', '32-16=16']\nExploring Operation: 58+16=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[58, 32, 16], Operations: ['56-40=16']\nExploring Operation: 32/16=2, Resulting Numbers: [58, 2]\nGenerated Node #0,4,2: 45:[58, 2] Operation: 32/16=2\nMoving to Node #0,4,2\nCurrent State: 45:[58, 2], Operations: ['56-40=16', '32/16=2']\nExploring Operation: 58-2=56, Resulting Numbers: [56]\n56,45 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 45:[58, 2], Operations: ['56-40=16', '32/16=2']\nExploring Operation: 58/2=29, Resulting Numbers: [29]\n29,45 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 45:[58, 2], Operations: ['56-40=16', '32/16=2']\nExploring Operation: 58+2=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[58, 32, 16], Operations: ['56-40=16']\nExploring Operation: 58-16=42, Resulting Numbers: [32, 42]\nGenerated Node #0,4,3: 45:[32, 42] Operation: 58-16=42\nMoving to Node #0,4,3\nCurrent State: 45:[32, 42], Operations: ['56-40=16', '58-16=42']\nExploring Operation: 42-32=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 45:[32, 42], Operations: ['56-40=16', '58-16=42']\nExploring Operation: 32+42=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[58, 32, 16], Operations: ['56-40=16']\nExploring Operation: 32+16=48, Resulting Numbers: [58, 48]\nGenerated Node #0,4,4: 45:[58, 48] Operation: 32+16=48\nMoving to Node #0,4,4\nCurrent State: 45:[58, 48], Operations: ['56-40=16', '32+16=48']\nExploring Operation: 58-48=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[58, 32, 16], Operations: ['56-40=16']\nExploring Operation: 58+16=74, Resulting Numbers: [32, 74]\nGenerated Node #0,4,5: 45:[32, 74] Operation: 58+16=74\nMoving to Node #0,4,5\nCurrent State: 45:[32, 74], Operations: ['56-40=16', '58+16=74']\nExploring Operation: 74-32=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[58, 56, 40, 32], Operations: []\nExploring Operation: 56-32=24, Resulting Numbers: [58, 40, 24]\nGenerated Node #0,5: 45:[58, 40, 24] Operation: 56-32=24\nMoving to Node #0,5\nCurrent State: 45:[58, 40, 24], Operations: ['56-32=24']\nExploring Operation: 58-40=18, Resulting Numbers: [24, 18]\nGenerated Node #0,5,0: 45:[24, 18] Operation: 58-40=18\nMoving to Node #0,5,0\nCurrent State: 45:[24, 18], Operations: ['56-32=24', '58-40=18']\nExploring Operation: 24-18=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 45:[24, 18], Operations: ['56-32=24', '58-40=18']\nExploring Operation: 24+18=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[58, 40, 24], Operations: ['56-32=24']\nExploring Operation: 40-24=16, Resulting Numbers: [58, 16]\nGenerated Node #0,5,1: 45:[58, 16] Operation: 40-24=16\nMoving to Node #0,5,1\nCurrent State: 45:[58, 16], Operations: ['56-32=24', '40-24=16']\nExploring Operation: 58-16=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 45:[58, 16], Operations: ['56-32=24', '40-24=16']\nExploring Operation: 58+16=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[58, 40, 24], Operations: ['56-32=24']\nExploring Operation: 58-24=34, Resulting Numbers: [40, 34]\nGenerated Node #0,5,2: 45:[40, 34] Operation: 58-24=34\nMoving to Node #0,5,2\nCurrent State: 45:[40, 34], Operations: ['56-32=24', '58-24=34']\nExploring Operation: 40-34=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 45:[40, 34], Operations: ['56-32=24', '58-24=34']\nExploring Operation: 40+34=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[58, 40, 24], Operations: ['56-32=24']\nExploring Operation: 40+24=64, Resulting Numbers: [58, 64]\nGenerated Node #0,5,3: 45:[58, 64] Operation: 40+24=64\nMoving to Node #0,5,3\nCurrent State: 45:[58, 64], Operations: ['56-32=24', '40+24=64']\nExploring Operation: 64-58=6, Resulting Numbers: [6]\n6,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[58, 40, 24], Operations: ['56-32=24']\nExploring Operation: 58+24=82, Resulting Numbers: [40, 82]\nGenerated Node #0,5,4: 45:[40, 82] Operation: 58+24=82\nMoving to Node #0,5,4\nCurrent State: 45:[40, 82], Operations: ['56-32=24', '58+24=82']\nExploring Operation: 82-40=42, Resulting Numbers: [42]\n42,45 unequal: No Solution\n", "role": "assistant" } ]
[ 38, 16, 63, 18 ]
13
[ "18-16=2", "38*2=76", "76-63=13" ]
Current State: 13:[38, 16, 63, 18], Operations: [] Exploring Operation: 63-18=45, Resulting Numbers: [38, 16, 45] Generated Node #0,0: 13:[38, 16, 45] Operation: 63-18=45 Exploring Operation: 63-38=25, Resulting Numbers: [16, 18, 25] Generated Node #0,1: 13:[16, 18, 25] Operation: 63-38=25 Exploring Operation: 38-18=20, Resulting Numbers: [16, 63, 20] Generated Node #0,2: 13:[16, 63, 20] Operation: 38-18=20 Moving to Node #0,1 Current State: 13:[16, 18, 25], Operations: ['63-38=25'] Exploring Operation: 18-16=2, Resulting Numbers: [25, 2] Generated Node #0,1,0: 13:[25, 2] Operation: 18-16=2 Exploring Operation: 25-16=9, Resulting Numbers: [18, 9] Generated Node #0,1,1: 13:[18, 9] Operation: 25-16=9 Exploring Operation: 25-18=7, Resulting Numbers: [16, 7] Generated Node #0,1,2: 13:[16, 7] Operation: 25-18=7 Moving to Node #0,0 Current State: 13:[38, 16, 45], Operations: ['63-18=45'] Exploring Operation: 45-16=29, Resulting Numbers: [38, 29] Generated Node #0,0,0: 13:[38, 29] Operation: 45-16=29 Exploring Operation: 45-38=7, Resulting Numbers: [16, 7] Generated Node #0,0,1: 13:[16, 7] Operation: 45-38=7 Exploring Operation: 38-16=22, Resulting Numbers: [45, 22] Generated Node #0,0,2: 13:[45, 22] Operation: 38-16=22 Moving to Node #0,2 Current State: 13:[16, 63, 20], Operations: ['38-18=20'] Exploring Operation: 20-16=4, Resulting Numbers: [63, 4] Generated Node #0,2,0: 13:[63, 4] Operation: 20-16=4 Exploring Operation: 63-16=47, Resulting Numbers: [20, 47] Generated Node #0,2,1: 13:[20, 47] Operation: 63-16=47 Exploring Operation: 63-20=43, Resulting Numbers: [16, 43] Generated Node #0,2,2: 13:[16, 43] Operation: 63-20=43 Moving to Node #0,1,1 Current State: 13:[18, 9], Operations: ['63-38=25', '25-16=9'] Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,13 unequal: No Solution Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,13 unequal: No Solution Exploring Operation: 18+9=27, Resulting Numbers: [27] 27,13 unequal: No Solution Moving to Node #0,1,2 Current State: 13:[16, 7], Operations: ['63-38=25', '25-18=7'] Exploring Operation: 16+7=23, Resulting Numbers: [23] 23,13 unequal: No Solution Exploring Operation: 16*7=112, Resulting Numbers: [112] 112,13 unequal: No Solution Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,13 unequal: No Solution Moving to Node #0,0,1 Current State: 13:[16, 7], Operations: ['63-18=45', '45-38=7'] Exploring Operation: 16*7=112, Resulting Numbers: [112] 112,13 unequal: No Solution Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,13 unequal: No Solution Exploring Operation: 16+7=23, Resulting Numbers: [23] 23,13 unequal: No Solution Moving to Node #0,1,1,0 Current State: 13:[9], Operations: ['63-38=25', '25-16=9', '18-9=9'] Moving to Node #0,0,1,0 Current State: 13:[9], Operations: ['63-18=45', '45-38=7', '16-7=9'] Moving to Node #0,1,2,0 Current State: 13:[9], Operations: ['63-38=25', '25-18=7', '16-7=9'] Moving to Node #0,0,1,0 Current State: 13:[23], Operations: ['63-18=45', '45-38=7', '16+7=23'] Moving to Node #0,1,2,0 Current State: 13:[23], Operations: ['63-38=25', '25-18=7', '16+7=23'] Moving to Node #0,1,1,0 Current State: 13:[2], Operations: ['63-38=25', '25-16=9', '18/9=2'] Moving to Node #0,1,1,0 Current State: 13:[27], Operations: ['63-38=25', '25-16=9', '18+9=27'] Moving to Node #0,1,0 Current State: 13:[25, 2], Operations: ['63-38=25', '18-16=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,13 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,13 unequal: No Solution Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,13 unequal: No Solution Moving to Node #0,2,2 Current State: 13:[16, 43], Operations: ['38-18=20', '63-20=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,13 unequal: No Solution Exploring Operation: 16*43=688, Resulting Numbers: [688] 688,13 unequal: No Solution Exploring Operation: 43-16=27, Resulting Numbers: [27] 27,13 unequal: No Solution Moving to Node #0,1,0,0 Current State: 13:[23], Operations: ['63-38=25', '18-16=2', '25-2=23'] Moving to Node #0,1,0,0 Current State: 13:[27], Operations: ['63-38=25', '18-16=2', '25+2=27'] Moving to Node #0,2,2,0 Current State: 13:[27], Operations: ['38-18=20', '63-20=43', '43-16=27'] Moving to Node #0,1,0,0 Current State: 13:[50], Operations: ['63-38=25', '18-16=2', '25*2=50'] Moving to Node #0,0,2 Current State: 13:[45, 22], Operations: ['63-18=45', '38-16=22'] Exploring Operation: 45+22=67, Resulting Numbers: [67] 67,13 unequal: No Solution Exploring Operation: 45-22=23, Resulting Numbers: [23] 23,13 unequal: No Solution Exploring Operation: 45*22=990, Resulting Numbers: [990] 990,13 unequal: No Solution Moving to Node #0,0,0 Current State: 13:[38, 29], Operations: ['63-18=45', '45-16=29'] Exploring Operation: 38*29=1102, Resulting Numbers: [1102] 1102,13 unequal: No Solution Exploring Operation: 38-29=9, Resulting Numbers: [9] 9,13 unequal: No Solution Exploring Operation: 38+29=67, Resulting Numbers: [67] 67,13 unequal: No Solution Moving to Node #0,0,0,0 Current State: 13:[9], Operations: ['63-18=45', '45-16=29', '38-29=9'] Moving to Node #0,0,2,0 Current State: 13:[23], Operations: ['63-18=45', '38-16=22', '45-22=23'] Moving to Node #0,2,1 Current State: 13:[20, 47], Operations: ['38-18=20', '63-16=47'] Exploring Operation: 20+47=67, Resulting Numbers: [67] 67,13 unequal: No Solution Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,13 unequal: No Solution Exploring Operation: 20*47=940, Resulting Numbers: [940] 940,13 unequal: No Solution Moving to Node #0,2,1,0 Current State: 13:[27], Operations: ['38-18=20', '63-16=47', '47-20=27'] Moving to Node #0,2,2,0 Current State: 13:[59], Operations: ['38-18=20', '63-20=43', '16+43=59'] Moving to Node #0,0,0,0 Current State: 13:[67], Operations: ['63-18=45', '45-16=29', '38+29=67'] Moving to Node #0,2,1,0 Current State: 13:[67], Operations: ['38-18=20', '63-16=47', '20+47=67'] Moving to Node #0,0,2,0 Current State: 13:[67], Operations: ['63-18=45', '38-16=22', '45+22=67'] Moving to Node #0,2,0 Current State: 13:[63, 4], Operations: ['38-18=20', '20-16=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,13 unequal: No Solution Exploring Operation: 63*4=252, Resulting Numbers: [252] 252,13 unequal: No Solution Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,13 unequal: No Solution Moving to Node #0,2,0,0 Current State: 13:[59], Operations: ['38-18=20', '20-16=4', '63-4=59'] Moving to Node #0,2,0,0 Current State: 13:[67], Operations: ['38-18=20', '20-16=4', '63+4=67'] Moving to Node #0,1,2,0 Current State: 13:[112], Operations: ['63-38=25', '25-18=7', '16*7=112'] Moving to Node #0,0,1,0 Current State: 13:[112], Operations: ['63-18=45', '45-38=7', '16*7=112'] Moving to Node #0,2,0,0 Current State: 13:[252], Operations: ['38-18=20', '20-16=4', '63*4=252'] Moving to Node #0,2,2,0 Current State: 13:[688], Operations: ['38-18=20', '63-20=43', '16*43=688'] Moving to Node #0,2,1,0 Current State: 13:[940], Operations: ['38-18=20', '63-16=47', '20*47=940'] Moving to Node #0,0,2,0 Current State: 13:[990], Operations: ['63-18=45', '38-16=22', '45*22=990'] Moving to Node #0,0,0,0 Current State: 13:[1102], Operations: ['63-18=45', '45-16=29', '38*29=1102'] No solution found.
0
bfs_3
Current State: 13:[38, 16, 63, 18], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [38, 63, 2] Generated Node #2: [38, 63, 2] from Operation: 18-16=2 Current State: 13:[38, 63, 2], Operations: ['18-16=2'] Exploring Operation: 38*2=76, Resulting Numbers: [63, 76] Generated Node #3: [63, 76] from Operation: 38*2=76 Current State: 13:[63, 76], Operations: ['18-16=2', '38*2=76'] Exploring Operation: 76-63=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
mult_heuristic
[ { "content": "Make 13 with the numbers [38, 16, 63, 18] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 13:[38, 16, 63, 18], Operations: []\nExploring Operation: 63-18=45, Resulting Numbers: [38, 16, 45]\nGenerated Node #0,0: 13:[38, 16, 45] Operation: 63-18=45\nExploring Operation: 63-38=25, Resulting Numbers: [16, 18, 25]\nGenerated Node #0,1: 13:[16, 18, 25] Operation: 63-38=25\nExploring Operation: 38-18=20, Resulting Numbers: [16, 63, 20]\nGenerated Node #0,2: 13:[16, 63, 20] Operation: 38-18=20\nMoving to Node #0,1\nCurrent State: 13:[16, 18, 25], Operations: ['63-38=25']\nExploring Operation: 18-16=2, Resulting Numbers: [25, 2]\nGenerated Node #0,1,0: 13:[25, 2] Operation: 18-16=2\nExploring Operation: 25-16=9, Resulting Numbers: [18, 9]\nGenerated Node #0,1,1: 13:[18, 9] Operation: 25-16=9\nExploring Operation: 25-18=7, Resulting Numbers: [16, 7]\nGenerated Node #0,1,2: 13:[16, 7] Operation: 25-18=7\nMoving to Node #0,0\nCurrent State: 13:[38, 16, 45], Operations: ['63-18=45']\nExploring Operation: 45-16=29, Resulting Numbers: [38, 29]\nGenerated Node #0,0,0: 13:[38, 29] Operation: 45-16=29\nExploring Operation: 45-38=7, Resulting Numbers: [16, 7]\nGenerated Node #0,0,1: 13:[16, 7] Operation: 45-38=7\nExploring Operation: 38-16=22, Resulting Numbers: [45, 22]\nGenerated Node #0,0,2: 13:[45, 22] Operation: 38-16=22\nMoving to Node #0,2\nCurrent State: 13:[16, 63, 20], Operations: ['38-18=20']\nExploring Operation: 20-16=4, Resulting Numbers: [63, 4]\nGenerated Node #0,2,0: 13:[63, 4] Operation: 20-16=4\nExploring Operation: 63-16=47, Resulting Numbers: [20, 47]\nGenerated Node #0,2,1: 13:[20, 47] Operation: 63-16=47\nExploring Operation: 63-20=43, Resulting Numbers: [16, 43]\nGenerated Node #0,2,2: 13:[16, 43] Operation: 63-20=43\nMoving to Node #0,1,1\nCurrent State: 13:[18, 9], Operations: ['63-38=25', '25-16=9']\nExploring Operation: 18/9=2, Resulting Numbers: [2]\n2,13 unequal: No Solution\nExploring Operation: 18-9=9, Resulting Numbers: [9]\n9,13 unequal: No Solution\nExploring Operation: 18+9=27, Resulting Numbers: [27]\n27,13 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 13:[16, 7], Operations: ['63-38=25', '25-18=7']\nExploring Operation: 16+7=23, Resulting Numbers: [23]\n23,13 unequal: No Solution\nExploring Operation: 16*7=112, Resulting Numbers: [112]\n112,13 unequal: No Solution\nExploring Operation: 16-7=9, Resulting Numbers: [9]\n9,13 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 13:[16, 7], Operations: ['63-18=45', '45-38=7']\nExploring Operation: 16*7=112, Resulting Numbers: [112]\n112,13 unequal: No Solution\nExploring Operation: 16-7=9, Resulting Numbers: [9]\n9,13 unequal: No Solution\nExploring Operation: 16+7=23, Resulting Numbers: [23]\n23,13 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 13:[9], Operations: ['63-38=25', '25-16=9', '18-9=9']\nMoving to Node #0,0,1,0\nCurrent State: 13:[9], Operations: ['63-18=45', '45-38=7', '16-7=9']\nMoving to Node #0,1,2,0\nCurrent State: 13:[9], Operations: ['63-38=25', '25-18=7', '16-7=9']\nMoving to Node #0,0,1,0\nCurrent State: 13:[23], Operations: ['63-18=45', '45-38=7', '16+7=23']\nMoving to Node #0,1,2,0\nCurrent State: 13:[23], Operations: ['63-38=25', '25-18=7', '16+7=23']\nMoving to Node #0,1,1,0\nCurrent State: 13:[2], Operations: ['63-38=25', '25-16=9', '18/9=2']\nMoving to Node #0,1,1,0\nCurrent State: 13:[27], Operations: ['63-38=25', '25-16=9', '18+9=27']\nMoving to Node #0,1,0\nCurrent State: 13:[25, 2], Operations: ['63-38=25', '18-16=2']\nExploring Operation: 25*2=50, Resulting Numbers: [50]\n50,13 unequal: No Solution\nExploring Operation: 25-2=23, Resulting Numbers: [23]\n23,13 unequal: No Solution\nExploring Operation: 25+2=27, Resulting Numbers: [27]\n27,13 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 13:[16, 43], Operations: ['38-18=20', '63-20=43']\nExploring Operation: 16+43=59, Resulting Numbers: [59]\n59,13 unequal: No Solution\nExploring Operation: 16*43=688, Resulting Numbers: [688]\n688,13 unequal: No Solution\nExploring Operation: 43-16=27, Resulting Numbers: [27]\n27,13 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 13:[23], Operations: ['63-38=25', '18-16=2', '25-2=23']\nMoving to Node #0,1,0,0\nCurrent State: 13:[27], Operations: ['63-38=25', '18-16=2', '25+2=27']\nMoving to Node #0,2,2,0\nCurrent State: 13:[27], Operations: ['38-18=20', '63-20=43', '43-16=27']\nMoving to Node #0,1,0,0\nCurrent State: 13:[50], Operations: ['63-38=25', '18-16=2', '25*2=50']\nMoving to Node #0,0,2\nCurrent State: 13:[45, 22], Operations: ['63-18=45', '38-16=22']\nExploring Operation: 45+22=67, Resulting Numbers: [67]\n67,13 unequal: No Solution\nExploring Operation: 45-22=23, Resulting Numbers: [23]\n23,13 unequal: No Solution\nExploring Operation: 45*22=990, Resulting Numbers: [990]\n990,13 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 13:[38, 29], Operations: ['63-18=45', '45-16=29']\nExploring Operation: 38*29=1102, Resulting Numbers: [1102]\n1102,13 unequal: No Solution\nExploring Operation: 38-29=9, Resulting Numbers: [9]\n9,13 unequal: No Solution\nExploring Operation: 38+29=67, Resulting Numbers: [67]\n67,13 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 13:[9], Operations: ['63-18=45', '45-16=29', '38-29=9']\nMoving to Node #0,0,2,0\nCurrent State: 13:[23], Operations: ['63-18=45', '38-16=22', '45-22=23']\nMoving to Node #0,2,1\nCurrent State: 13:[20, 47], Operations: ['38-18=20', '63-16=47']\nExploring Operation: 20+47=67, Resulting Numbers: [67]\n67,13 unequal: No Solution\nExploring Operation: 47-20=27, Resulting Numbers: [27]\n27,13 unequal: No Solution\nExploring Operation: 20*47=940, Resulting Numbers: [940]\n940,13 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 13:[27], Operations: ['38-18=20', '63-16=47', '47-20=27']\nMoving to Node #0,2,2,0\nCurrent State: 13:[59], Operations: ['38-18=20', '63-20=43', '16+43=59']\nMoving to Node #0,0,0,0\nCurrent State: 13:[67], Operations: ['63-18=45', '45-16=29', '38+29=67']\nMoving to Node #0,2,1,0\nCurrent State: 13:[67], Operations: ['38-18=20', '63-16=47', '20+47=67']\nMoving to Node #0,0,2,0\nCurrent State: 13:[67], Operations: ['63-18=45', '38-16=22', '45+22=67']\nMoving to Node #0,2,0\nCurrent State: 13:[63, 4], Operations: ['38-18=20', '20-16=4']\nExploring Operation: 63-4=59, Resulting Numbers: [59]\n59,13 unequal: No Solution\nExploring Operation: 63*4=252, Resulting Numbers: [252]\n252,13 unequal: No Solution\nExploring Operation: 63+4=67, Resulting Numbers: [67]\n67,13 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 13:[59], Operations: ['38-18=20', '20-16=4', '63-4=59']\nMoving to Node #0,2,0,0\nCurrent State: 13:[67], Operations: ['38-18=20', '20-16=4', '63+4=67']\nMoving to Node #0,1,2,0\nCurrent State: 13:[112], Operations: ['63-38=25', '25-18=7', '16*7=112']\nMoving to Node #0,0,1,0\nCurrent State: 13:[112], Operations: ['63-18=45', '45-38=7', '16*7=112']\nMoving to Node #0,2,0,0\nCurrent State: 13:[252], Operations: ['38-18=20', '20-16=4', '63*4=252']\nMoving to Node #0,2,2,0\nCurrent State: 13:[688], Operations: ['38-18=20', '63-20=43', '16*43=688']\nMoving to Node #0,2,1,0\nCurrent State: 13:[940], Operations: ['38-18=20', '63-16=47', '20*47=940']\nMoving to Node #0,0,2,0\nCurrent State: 13:[990], Operations: ['63-18=45', '38-16=22', '45*22=990']\nMoving to Node #0,0,0,0\nCurrent State: 13:[1102], Operations: ['63-18=45', '45-16=29', '38*29=1102']\nNo solution found.", "role": "assistant" } ]
[ 2, 27, 63, 8 ]
74
[ "2*8=16", "27+63=90", "90-16=74" ]
Current State: 74:[2, 27, 63, 8], Operations: [] Exploring Operation: 27+8=35, Resulting Numbers: [2, 63, 35] Generated Node #0,0: 74:[2, 63, 35] Operation: 27+8=35 Exploring Operation: 63-27=36, Resulting Numbers: [2, 8, 36] Generated Node #0,1: 74:[2, 8, 36] Operation: 63-27=36 Moving to Node #0,1 Current State: 74:[2, 8, 36], Operations: ['63-27=36'] Exploring Operation: 8/2=4, Resulting Numbers: [36, 4] Generated Node #0,1,0: 74:[36, 4] Operation: 8/2=4 Exploring Operation: 8-2=6, Resulting Numbers: [36, 6] Generated Node #0,1,1: 74:[36, 6] Operation: 8-2=6 Moving to Node #0,0 Current State: 74:[2, 63, 35], Operations: ['27+8=35'] Exploring Operation: 2+63=65, Resulting Numbers: [35, 65] Generated Node #0,0,0: 74:[35, 65] Operation: 2+63=65 Exploring Operation: 63-35=28, Resulting Numbers: [2, 28] Generated Node #0,0,1: 74:[2, 28] Operation: 63-35=28 Moving to Node #0,1,0 Current State: 74:[36, 4], Operations: ['63-27=36', '8/2=4'] Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,74 unequal: No Solution Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,74 unequal: No Solution Moving to Node #0,1,1 Current State: 74:[36, 6], Operations: ['63-27=36', '8-2=6'] Exploring Operation: 36/6=6, Resulting Numbers: [6] 6,74 unequal: No Solution Exploring Operation: 36+6=42, Resulting Numbers: [42] 42,74 unequal: No Solution Moving to Node #0,1,0,0 Current State: 74:[40], Operations: ['63-27=36', '8/2=4', '36+4=40'] Moving to Node #0,1,1,0 Current State: 74:[6], Operations: ['63-27=36', '8-2=6', '36/6=6'] Moving to Node #0,1,1,0 Current State: 74:[42], Operations: ['63-27=36', '8-2=6', '36+6=42'] Moving to Node #0,1,0,0 Current State: 74:[32], Operations: ['63-27=36', '8/2=4', '36-4=32'] Moving to Node #0,0,1 Current State: 74:[2, 28], Operations: ['27+8=35', '63-35=28'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,74 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,74 unequal: No Solution Moving to Node #0,0,0 Current State: 74:[35, 65], Operations: ['27+8=35', '2+63=65'] Exploring Operation: 65-35=30, Resulting Numbers: [30] 30,74 unequal: No Solution Exploring Operation: 35+65=100, Resulting Numbers: [100] 100,74 unequal: No Solution Moving to Node #0,0,1,0 Current State: 74:[30], Operations: ['27+8=35', '63-35=28', '2+28=30'] Moving to Node #0,0,0,0 Current State: 74:[30], Operations: ['27+8=35', '2+63=65', '65-35=30'] Moving to Node #0,0,1,0 Current State: 74:[26], Operations: ['27+8=35', '63-35=28', '28-2=26'] Moving to Node #0,0,0,0 Current State: 74:[100], Operations: ['27+8=35', '2+63=65', '35+65=100'] No solution found.
0
bfs_2
Current State: 74:[2, 27, 63, 8], Operations: [] Exploring Operation: 2*8=16, Resulting Numbers: [27, 63, 16] Generated Node #2: [27, 63, 16] from Operation: 2*8=16 Current State: 74:[27, 63, 16], Operations: ['2*8=16'] Exploring Operation: 27+63=90, Resulting Numbers: [16, 90] Generated Node #3: [16, 90] from Operation: 27+63=90 Current State: 74:[16, 90], Operations: ['2*8=16', '27+63=90'] Exploring Operation: 90-16=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
mult_heuristic
[ { "content": "Make 74 with the numbers [2, 27, 63, 8] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 74:[2, 27, 63, 8], Operations: []\nExploring Operation: 27+8=35, Resulting Numbers: [2, 63, 35]\nGenerated Node #0,0: 74:[2, 63, 35] Operation: 27+8=35\nExploring Operation: 63-27=36, Resulting Numbers: [2, 8, 36]\nGenerated Node #0,1: 74:[2, 8, 36] Operation: 63-27=36\nMoving to Node #0,1\nCurrent State: 74:[2, 8, 36], Operations: ['63-27=36']\nExploring Operation: 8/2=4, Resulting Numbers: [36, 4]\nGenerated Node #0,1,0: 74:[36, 4] Operation: 8/2=4\nExploring Operation: 8-2=6, Resulting Numbers: [36, 6]\nGenerated Node #0,1,1: 74:[36, 6] Operation: 8-2=6\nMoving to Node #0,0\nCurrent State: 74:[2, 63, 35], Operations: ['27+8=35']\nExploring Operation: 2+63=65, Resulting Numbers: [35, 65]\nGenerated Node #0,0,0: 74:[35, 65] Operation: 2+63=65\nExploring Operation: 63-35=28, Resulting Numbers: [2, 28]\nGenerated Node #0,0,1: 74:[2, 28] Operation: 63-35=28\nMoving to Node #0,1,0\nCurrent State: 74:[36, 4], Operations: ['63-27=36', '8/2=4']\nExploring Operation: 36+4=40, Resulting Numbers: [40]\n40,74 unequal: No Solution\nExploring Operation: 36-4=32, Resulting Numbers: [32]\n32,74 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 74:[36, 6], Operations: ['63-27=36', '8-2=6']\nExploring Operation: 36/6=6, Resulting Numbers: [6]\n6,74 unequal: No Solution\nExploring Operation: 36+6=42, Resulting Numbers: [42]\n42,74 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 74:[40], Operations: ['63-27=36', '8/2=4', '36+4=40']\nMoving to Node #0,1,1,0\nCurrent State: 74:[6], Operations: ['63-27=36', '8-2=6', '36/6=6']\nMoving to Node #0,1,1,0\nCurrent State: 74:[42], Operations: ['63-27=36', '8-2=6', '36+6=42']\nMoving to Node #0,1,0,0\nCurrent State: 74:[32], Operations: ['63-27=36', '8/2=4', '36-4=32']\nMoving to Node #0,0,1\nCurrent State: 74:[2, 28], Operations: ['27+8=35', '63-35=28']\nExploring Operation: 2+28=30, Resulting Numbers: [30]\n30,74 unequal: No Solution\nExploring Operation: 28-2=26, Resulting Numbers: [26]\n26,74 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 74:[35, 65], Operations: ['27+8=35', '2+63=65']\nExploring Operation: 65-35=30, Resulting Numbers: [30]\n30,74 unequal: No Solution\nExploring Operation: 35+65=100, Resulting Numbers: [100]\n100,74 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 74:[30], Operations: ['27+8=35', '63-35=28', '2+28=30']\nMoving to Node #0,0,0,0\nCurrent State: 74:[30], Operations: ['27+8=35', '2+63=65', '65-35=30']\nMoving to Node #0,0,1,0\nCurrent State: 74:[26], Operations: ['27+8=35', '63-35=28', '28-2=26']\nMoving to Node #0,0,0,0\nCurrent State: 74:[100], Operations: ['27+8=35', '2+63=65', '35+65=100']\nNo solution found.", "role": "assistant" } ]
[ 13, 35, 18, 43 ]
73
[ "13+35=48", "43-18=25", "48+25=73" ]
Current State: 73:[13, 35, 18, 43], Operations: []
0
dfs
Current State: 73:[13, 35, 18, 43], Operations: [] Exploring Operation: 13+35=48, Resulting Numbers: [18, 43, 48] Generated Node #2: [18, 43, 48] from Operation: 13+35=48 Current State: 73:[18, 43, 48], Operations: ['13+35=48'] Exploring Operation: 43-18=25, Resulting Numbers: [48, 25] Generated Node #3: [48, 25] from Operation: 43-18=25 Current State: 73:[48, 25], Operations: ['13+35=48', '43-18=25'] Exploring Operation: 48+25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
mult_heuristic
[ { "content": "Make 73 with the numbers [13, 35, 18, 43] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 73:[13, 35, 18, 43], Operations: []\n", "role": "assistant" } ]
[ 99, 75, 92, 69 ]
47
[ "99-75=24", "92-69=23", "24+23=47" ]
Current State: 47:[99, 75, 92, 69], Operations: []
0
dfs
Current State: 47:[99, 75, 92, 69], Operations: [] Exploring Operation: 99-75=24, Resulting Numbers: [92, 69, 24] Generated Node #2: [92, 69, 24] from Operation: 99-75=24 Current State: 47:[92, 69, 24], Operations: ['99-75=24'] Exploring Operation: 92-69=23, Resulting Numbers: [24, 23] Generated Node #3: [24, 23] from Operation: 92-69=23 Current State: 47:[24, 23], Operations: ['99-75=24', '92-69=23'] Exploring Operation: 24+23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
mult_heuristic
[ { "content": "Make 47 with the numbers [99, 75, 92, 69] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 47:[99, 75, 92, 69], Operations: []\n", "role": "assistant" } ]
[ 11, 60, 19, 12 ]
18
[ "60-11=49", "19+12=31", "49-31=18" ]
Current State: 18:[11, 60, 19, 12], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [11, 19, 5] Generated Node #0,0: 18:[11, 19, 5] Operation: 60/12=5 Moving to Node #0,0 Current State: 18:[11, 19, 5], Operations: ['60/12=5'] Exploring Operation: 11+5=16, Resulting Numbers: [19, 16] Generated Node #0,0,0: 18:[19, 16] Operation: 11+5=16 Moving to Node #0,0,0 Current State: 18:[19, 16], Operations: ['60/12=5', '11+5=16'] Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,18 unequal: No Solution Moving to Node #0,0,0 Current State: 18:[19, 16], Operations: ['60/12=5', '11+5=16'] Exploring Operation: 19+16=35, Resulting Numbers: [35] 35,18 unequal: No Solution Moving to Node #0,0 Current State: 18:[11, 19, 5], Operations: ['60/12=5'] Exploring Operation: 19-5=14, Resulting Numbers: [11, 14] Generated Node #0,0,1: 18:[11, 14] Operation: 19-5=14 Moving to Node #0,0,1 Current State: 18:[11, 14], Operations: ['60/12=5', '19-5=14'] Exploring Operation: 11+14=25, Resulting Numbers: [25] 25,18 unequal: No Solution Moving to Node #0,0,1 Current State: 18:[11, 14], Operations: ['60/12=5', '19-5=14'] Exploring Operation: 14-11=3, Resulting Numbers: [3] 3,18 unequal: No Solution Moving to Node #0,0 Current State: 18:[11, 19, 5], Operations: ['60/12=5'] Exploring Operation: 11-5=6, Resulting Numbers: [19, 6] Generated Node #0,0,2: 18:[19, 6] Operation: 11-5=6 Moving to Node #0,0,2 Current State: 18:[19, 6], Operations: ['60/12=5', '11-5=6'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,18 unequal: No Solution Moving to Node #0,0,2 Current State: 18:[19, 6], Operations: ['60/12=5', '11-5=6'] Exploring Operation: 19+6=25, Resulting Numbers: [25] 25,18 unequal: No Solution Moving to Node #0,0 Current State: 18:[11, 19, 5], Operations: ['60/12=5'] Exploring Operation: 19+5=24, Resulting Numbers: [11, 24] Generated Node #0,0,3: 18:[11, 24] Operation: 19+5=24 Moving to Node #0,0,3 Current State: 18:[11, 24], Operations: ['60/12=5', '19+5=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,18 unequal: No Solution Moving to Node #0,0,3 Current State: 18:[11, 24], Operations: ['60/12=5', '19+5=24'] Exploring Operation: 11+24=35, Resulting Numbers: [35] 35,18 unequal: No Solution Moving to Node #0,0 Current State: 18:[11, 19, 5], Operations: ['60/12=5'] Exploring Operation: 19-11=8, Resulting Numbers: [5, 8] Generated Node #0,0,4: 18:[5, 8] Operation: 19-11=8 Moving to Node #0,0,4 Current State: 18:[5, 8], Operations: ['60/12=5', '19-11=8'] Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,18 unequal: No Solution Moving to Node #0,0,4 Current State: 18:[5, 8], Operations: ['60/12=5', '19-11=8'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,18 unequal: No Solution Moving to Node #0,0 Current State: 18:[11, 19, 5], Operations: ['60/12=5'] Exploring Operation: 11+19=30, Resulting Numbers: [5, 30] Generated Node #0,0,5: 18:[5, 30] Operation: 11+19=30 Moving to Node #0,0,5 Current State: 18:[5, 30], Operations: ['60/12=5', '11+19=30'] Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,18 unequal: No Solution Moving to Node #0,0,5 Current State: 18:[5, 30], Operations: ['60/12=5', '11+19=30'] Exploring Operation: 30/5=6, Resulting Numbers: [6] 6,18 unequal: No Solution Moving to Node #0,0,5 Current State: 18:[5, 30], Operations: ['60/12=5', '11+19=30'] Exploring Operation: 5+30=35, Resulting Numbers: [35] 35,18 unequal: No Solution Moving to Node #0 Current State: 18:[11, 60, 19, 12], Operations: [] Exploring Operation: 60-19=41, Resulting Numbers: [11, 12, 41] Generated Node #0,1: 18:[11, 12, 41] Operation: 60-19=41 Moving to Node #0,1 Current State: 18:[11, 12, 41], Operations: ['60-19=41'] Exploring Operation: 41-11=30, Resulting Numbers: [12, 30] Generated Node #0,1,0: 18:[12, 30] Operation: 41-11=30 Moving to Node #0,1,0 Current State: 18:[12, 30], Operations: ['60-19=41', '41-11=30'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
0.979167
dfs
Current State: 18:[11, 60, 19, 12], Operations: [] Exploring Operation: 60-11=49, Resulting Numbers: [19, 12, 49] Generated Node #2: [19, 12, 49] from Operation: 60-11=49 Current State: 18:[19, 12, 49], Operations: ['60-11=49'] Exploring Operation: 19+12=31, Resulting Numbers: [49, 31] Generated Node #3: [49, 31] from Operation: 19+12=31 Current State: 18:[49, 31], Operations: ['60-11=49', '19+12=31'] Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
sum_heuristic
[ { "content": "Make 18 with the numbers [11, 60, 19, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 18:[11, 60, 19, 12], Operations: []\nExploring Operation: 60/12=5, Resulting Numbers: [11, 19, 5]\nGenerated Node #0,0: 18:[11, 19, 5] Operation: 60/12=5\nMoving to Node #0,0\nCurrent State: 18:[11, 19, 5], Operations: ['60/12=5']\nExploring Operation: 11+5=16, Resulting Numbers: [19, 16]\nGenerated Node #0,0,0: 18:[19, 16] Operation: 11+5=16\nMoving to Node #0,0,0\nCurrent State: 18:[19, 16], Operations: ['60/12=5', '11+5=16']\nExploring Operation: 19-16=3, Resulting Numbers: [3]\n3,18 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 18:[19, 16], Operations: ['60/12=5', '11+5=16']\nExploring Operation: 19+16=35, Resulting Numbers: [35]\n35,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[11, 19, 5], Operations: ['60/12=5']\nExploring Operation: 19-5=14, Resulting Numbers: [11, 14]\nGenerated Node #0,0,1: 18:[11, 14] Operation: 19-5=14\nMoving to Node #0,0,1\nCurrent State: 18:[11, 14], Operations: ['60/12=5', '19-5=14']\nExploring Operation: 11+14=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 18:[11, 14], Operations: ['60/12=5', '19-5=14']\nExploring Operation: 14-11=3, Resulting Numbers: [3]\n3,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[11, 19, 5], Operations: ['60/12=5']\nExploring Operation: 11-5=6, Resulting Numbers: [19, 6]\nGenerated Node #0,0,2: 18:[19, 6] Operation: 11-5=6\nMoving to Node #0,0,2\nCurrent State: 18:[19, 6], Operations: ['60/12=5', '11-5=6']\nExploring Operation: 19-6=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 18:[19, 6], Operations: ['60/12=5', '11-5=6']\nExploring Operation: 19+6=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[11, 19, 5], Operations: ['60/12=5']\nExploring Operation: 19+5=24, Resulting Numbers: [11, 24]\nGenerated Node #0,0,3: 18:[11, 24] Operation: 19+5=24\nMoving to Node #0,0,3\nCurrent State: 18:[11, 24], Operations: ['60/12=5', '19+5=24']\nExploring Operation: 24-11=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 18:[11, 24], Operations: ['60/12=5', '19+5=24']\nExploring Operation: 11+24=35, Resulting Numbers: [35]\n35,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[11, 19, 5], Operations: ['60/12=5']\nExploring Operation: 19-11=8, Resulting Numbers: [5, 8]\nGenerated Node #0,0,4: 18:[5, 8] Operation: 19-11=8\nMoving to Node #0,0,4\nCurrent State: 18:[5, 8], Operations: ['60/12=5', '19-11=8']\nExploring Operation: 5+8=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 18:[5, 8], Operations: ['60/12=5', '19-11=8']\nExploring Operation: 8-5=3, Resulting Numbers: [3]\n3,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[11, 19, 5], Operations: ['60/12=5']\nExploring Operation: 11+19=30, Resulting Numbers: [5, 30]\nGenerated Node #0,0,5: 18:[5, 30] Operation: 11+19=30\nMoving to Node #0,0,5\nCurrent State: 18:[5, 30], Operations: ['60/12=5', '11+19=30']\nExploring Operation: 30-5=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 18:[5, 30], Operations: ['60/12=5', '11+19=30']\nExploring Operation: 30/5=6, Resulting Numbers: [6]\n6,18 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 18:[5, 30], Operations: ['60/12=5', '11+19=30']\nExploring Operation: 5+30=35, Resulting Numbers: [35]\n35,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[11, 60, 19, 12], Operations: []\nExploring Operation: 60-19=41, Resulting Numbers: [11, 12, 41]\nGenerated Node #0,1: 18:[11, 12, 41] Operation: 60-19=41\nMoving to Node #0,1\nCurrent State: 18:[11, 12, 41], Operations: ['60-19=41']\nExploring Operation: 41-11=30, Resulting Numbers: [12, 30]\nGenerated Node #0,1,0: 18:[12, 30] Operation: 41-11=30\nMoving to Node #0,1,0\nCurrent State: 18:[12, 30], Operations: ['60-19=41', '41-11=30']\nExploring Operation: 30-12=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached\n", "role": "assistant" } ]
[ 8, 5, 81, 52 ]
25
[ "8-5=3", "81/3=27", "52-27=25" ]
Current State: 25:[8, 5, 81, 52], Operations: [] Exploring Operation: 81-52=29, Resulting Numbers: [8, 5, 29] Generated Node #0,0: 25:[8, 5, 29] Operation: 81-52=29 Moving to Node #0,0 Current State: 25:[8, 5, 29], Operations: ['81-52=29'] Exploring Operation: 29-8=21, Resulting Numbers: [5, 21] Generated Node #0,0,0: 25:[5, 21] Operation: 29-8=21 Moving to Node #0,0,0 Current State: 25:[5, 21], Operations: ['81-52=29', '29-8=21'] Exploring Operation: 5+21=26, Resulting Numbers: [26] 26,25 unequal: No Solution Moving to Node #0,0,0 Current State: 25:[5, 21], Operations: ['81-52=29', '29-8=21'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,25 unequal: No Solution Moving to Node #0,0 Current State: 25:[8, 5, 29], Operations: ['81-52=29'] Exploring Operation: 29-5=24, Resulting Numbers: [8, 24] Generated Node #0,0,1: 25:[8, 24] Operation: 29-5=24 Moving to Node #0,0,1 Current State: 25:[8, 24], Operations: ['81-52=29', '29-5=24'] Exploring Operation: 24/8=3, Resulting Numbers: [3] 3,25 unequal: No Solution Moving to Node #0,0,1 Current State: 25:[8, 24], Operations: ['81-52=29', '29-5=24'] Exploring Operation: 8+24=32, Resulting Numbers: [32] 32,25 unequal: No Solution Moving to Node #0,0,1 Current State: 25:[8, 24], Operations: ['81-52=29', '29-5=24'] Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,25 unequal: No Solution Moving to Node #0,0 Current State: 25:[8, 5, 29], Operations: ['81-52=29'] Exploring Operation: 8-5=3, Resulting Numbers: [29, 3] Generated Node #0,0,2: 25:[29, 3] Operation: 8-5=3 Moving to Node #0,0,2 Current State: 25:[29, 3], Operations: ['81-52=29', '8-5=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,25 unequal: No Solution Moving to Node #0,0,2 Current State: 25:[29, 3], Operations: ['81-52=29', '8-5=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,25 unequal: No Solution Moving to Node #0,0 Current State: 25:[8, 5, 29], Operations: ['81-52=29'] Exploring Operation: 8+5=13, Resulting Numbers: [29, 13] Generated Node #0,0,3: 25:[29, 13] Operation: 8+5=13 Moving to Node #0,0,3 Current State: 25:[29, 13], Operations: ['81-52=29', '8+5=13'] Exploring Operation: 29-13=16, Resulting Numbers: [16] 16,25 unequal: No Solution Moving to Node #0,0,3 Current State: 25:[29, 13], Operations: ['81-52=29', '8+5=13'] Exploring Operation: 29+13=42, Resulting Numbers: [42] 42,25 unequal: No Solution Moving to Node #0,0 Current State: 25:[8, 5, 29], Operations: ['81-52=29'] Exploring Operation: 8+29=37, Resulting Numbers: [5, 37] Generated Node #0,0,4: 25:[5, 37] Operation: 8+29=37 Moving to Node #0,0,4 Current State: 25:[5, 37], Operations: ['81-52=29', '8+29=37'] Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,25 unequal: No Solution Moving to Node #0,0,4 Current State: 25:[5, 37], Operations: ['81-52=29', '8+29=37'] Exploring Operation: 5+37=42, Resulting Numbers: [42] 42,25 unequal: No Solution Moving to Node #0,0 Current State: 25:[8, 5, 29], Operations: ['81-52=29'] Exploring Operation: 5+29=34, Resulting Numbers: [8, 34] Generated Node #0,0,5: 25:[8, 34] Operation: 5+29=34 Moving to Node #0,0,5 Current State: 25:[8, 34], Operations: ['81-52=29', '5+29=34'] Exploring Operation: 34-8=26, Resulting Numbers: [26] 26,25 unequal: No Solution Moving to Node #0,0,5 Current State: 25:[8, 34], Operations: ['81-52=29', '5+29=34'] Exploring Operation: 8+34=42, Resulting Numbers: [42] 42,25 unequal: No Solution Moving to Node #0,0 Current State: 25:[8, 5, 29], Operations: ['81-52=29'] Exploring Operation: 8*5=40, Resulting Numbers: [29, 40] Generated Node #0,0,6: 25:[29, 40] Operation: 8*5=40 Moving to Node #0,0,6 Current State: 25:[29, 40], Operations: ['81-52=29', '8*5=40'] Exploring Operation: 40-29=11, Resulting Numbers: [11] 11,25 unequal: No Solution
0
dfs
Current State: 25:[8, 5, 81, 52], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [81, 52, 3] Generated Node #2: [81, 52, 3] from Operation: 8-5=3 Current State: 25:[81, 52, 3], Operations: ['8-5=3'] Exploring Operation: 81/3=27, Resulting Numbers: [52, 27] Generated Node #3: [52, 27] from Operation: 81/3=27 Current State: 25:[52, 27], Operations: ['8-5=3', '81/3=27'] Exploring Operation: 52-27=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
mult_heuristic
[ { "content": "Make 25 with the numbers [8, 5, 81, 52] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 25:[8, 5, 81, 52], Operations: []\nExploring Operation: 81-52=29, Resulting Numbers: [8, 5, 29]\nGenerated Node #0,0: 25:[8, 5, 29] Operation: 81-52=29\nMoving to Node #0,0\nCurrent State: 25:[8, 5, 29], Operations: ['81-52=29']\nExploring Operation: 29-8=21, Resulting Numbers: [5, 21]\nGenerated Node #0,0,0: 25:[5, 21] Operation: 29-8=21\nMoving to Node #0,0,0\nCurrent State: 25:[5, 21], Operations: ['81-52=29', '29-8=21']\nExploring Operation: 5+21=26, Resulting Numbers: [26]\n26,25 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 25:[5, 21], Operations: ['81-52=29', '29-8=21']\nExploring Operation: 21-5=16, Resulting Numbers: [16]\n16,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[8, 5, 29], Operations: ['81-52=29']\nExploring Operation: 29-5=24, Resulting Numbers: [8, 24]\nGenerated Node #0,0,1: 25:[8, 24] Operation: 29-5=24\nMoving to Node #0,0,1\nCurrent State: 25:[8, 24], Operations: ['81-52=29', '29-5=24']\nExploring Operation: 24/8=3, Resulting Numbers: [3]\n3,25 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 25:[8, 24], Operations: ['81-52=29', '29-5=24']\nExploring Operation: 8+24=32, Resulting Numbers: [32]\n32,25 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 25:[8, 24], Operations: ['81-52=29', '29-5=24']\nExploring Operation: 24-8=16, Resulting Numbers: [16]\n16,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[8, 5, 29], Operations: ['81-52=29']\nExploring Operation: 8-5=3, Resulting Numbers: [29, 3]\nGenerated Node #0,0,2: 25:[29, 3] Operation: 8-5=3\nMoving to Node #0,0,2\nCurrent State: 25:[29, 3], Operations: ['81-52=29', '8-5=3']\nExploring Operation: 29-3=26, Resulting Numbers: [26]\n26,25 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 25:[29, 3], Operations: ['81-52=29', '8-5=3']\nExploring Operation: 29+3=32, Resulting Numbers: [32]\n32,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[8, 5, 29], Operations: ['81-52=29']\nExploring Operation: 8+5=13, Resulting Numbers: [29, 13]\nGenerated Node #0,0,3: 25:[29, 13] Operation: 8+5=13\nMoving to Node #0,0,3\nCurrent State: 25:[29, 13], Operations: ['81-52=29', '8+5=13']\nExploring Operation: 29-13=16, Resulting Numbers: [16]\n16,25 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 25:[29, 13], Operations: ['81-52=29', '8+5=13']\nExploring Operation: 29+13=42, Resulting Numbers: [42]\n42,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[8, 5, 29], Operations: ['81-52=29']\nExploring Operation: 8+29=37, Resulting Numbers: [5, 37]\nGenerated Node #0,0,4: 25:[5, 37] Operation: 8+29=37\nMoving to Node #0,0,4\nCurrent State: 25:[5, 37], Operations: ['81-52=29', '8+29=37']\nExploring Operation: 37-5=32, Resulting Numbers: [32]\n32,25 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 25:[5, 37], Operations: ['81-52=29', '8+29=37']\nExploring Operation: 5+37=42, Resulting Numbers: [42]\n42,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[8, 5, 29], Operations: ['81-52=29']\nExploring Operation: 5+29=34, Resulting Numbers: [8, 34]\nGenerated Node #0,0,5: 25:[8, 34] Operation: 5+29=34\nMoving to Node #0,0,5\nCurrent State: 25:[8, 34], Operations: ['81-52=29', '5+29=34']\nExploring Operation: 34-8=26, Resulting Numbers: [26]\n26,25 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 25:[8, 34], Operations: ['81-52=29', '5+29=34']\nExploring Operation: 8+34=42, Resulting Numbers: [42]\n42,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[8, 5, 29], Operations: ['81-52=29']\nExploring Operation: 8*5=40, Resulting Numbers: [29, 40]\nGenerated Node #0,0,6: 25:[29, 40] Operation: 8*5=40\nMoving to Node #0,0,6\nCurrent State: 25:[29, 40], Operations: ['81-52=29', '8*5=40']\nExploring Operation: 40-29=11, Resulting Numbers: [11]\n11,25 unequal: No Solution\n", "role": "assistant" } ]
[ 38, 43, 17, 12 ]
86
[ "38+43=81", "17-12=5", "81+5=86" ]
Current State: 86:[38, 43, 17, 12], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [38, 43, 5] Generated Node #0,0: 86:[38, 43, 5] Operation: 17-12=5 Exploring Operation: 17+12=29, Resulting Numbers: [38, 43, 29] Generated Node #0,1: 86:[38, 43, 29] Operation: 17+12=29 Exploring Operation: 38+17=55, Resulting Numbers: [43, 12, 55] Generated Node #0,2: 86:[43, 12, 55] Operation: 38+17=55 Moving to Node #0,0 Current State: 86:[38, 43, 5], Operations: ['17-12=5'] Exploring Operation: 38+43=81, Resulting Numbers: [5, 81] Generated Node #0,0,0: 86:[5, 81] Operation: 38+43=81 Exploring Operation: 38+5=43, Resulting Numbers: [43, 43] Generated Node #0,0,1: 86:[43, 43] Operation: 38+5=43 Exploring Operation: 43-38=5, Resulting Numbers: [5, 5] Generated Node #0,0,2: 86:[5, 5] Operation: 43-38=5 Moving to Node #0,1 Current State: 86:[38, 43, 29], Operations: ['17+12=29'] Exploring Operation: 43-29=14, Resulting Numbers: [38, 14] Generated Node #0,1,0: 86:[38, 14] Operation: 43-29=14 Exploring Operation: 38-29=9, Resulting Numbers: [43, 9] Generated Node #0,1,1: 86:[43, 9] Operation: 38-29=9 Exploring Operation: 43-38=5, Resulting Numbers: [29, 5] Generated Node #0,1,2: 86:[29, 5] Operation: 43-38=5 Moving to Node #0,2 Current State: 86:[43, 12, 55], Operations: ['38+17=55'] Exploring Operation: 12+55=67, Resulting Numbers: [43, 67] Generated Node #0,2,0: 86:[43, 67] Operation: 12+55=67 Exploring Operation: 55-43=12, Resulting Numbers: [12, 12] Generated Node #0,2,1: 86:[12, 12] Operation: 55-43=12 Exploring Operation: 55-12=43, Resulting Numbers: [43, 43] Generated Node #0,2,2: 86:[43, 43] Operation: 55-12=43 Moving to Node #0,0,1 Current State: 86:[43, 43], Operations: ['17-12=5', '38+5=43'] Exploring Operation: 43/43=1, Resulting Numbers: [1] 1,86 unequal: No Solution Exploring Operation: 43+43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
0.986979
bfs_3
Current State: 86:[38, 43, 17, 12], Operations: [] Exploring Operation: 38+43=81, Resulting Numbers: [17, 12, 81] Generated Node #2: [17, 12, 81] from Operation: 38+43=81 Current State: 86:[17, 12, 81], Operations: ['38+43=81'] Exploring Operation: 17-12=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 17-12=5 Current State: 86:[81, 5], Operations: ['38+43=81', '17-12=5'] Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
mult_heuristic
[ { "content": "Make 86 with the numbers [38, 43, 17, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 86:[38, 43, 17, 12], Operations: []\nExploring Operation: 17-12=5, Resulting Numbers: [38, 43, 5]\nGenerated Node #0,0: 86:[38, 43, 5] Operation: 17-12=5\nExploring Operation: 17+12=29, Resulting Numbers: [38, 43, 29]\nGenerated Node #0,1: 86:[38, 43, 29] Operation: 17+12=29\nExploring Operation: 38+17=55, Resulting Numbers: [43, 12, 55]\nGenerated Node #0,2: 86:[43, 12, 55] Operation: 38+17=55\nMoving to Node #0,0\nCurrent State: 86:[38, 43, 5], Operations: ['17-12=5']\nExploring Operation: 38+43=81, Resulting Numbers: [5, 81]\nGenerated Node #0,0,0: 86:[5, 81] Operation: 38+43=81\nExploring Operation: 38+5=43, Resulting Numbers: [43, 43]\nGenerated Node #0,0,1: 86:[43, 43] Operation: 38+5=43\nExploring Operation: 43-38=5, Resulting Numbers: [5, 5]\nGenerated Node #0,0,2: 86:[5, 5] Operation: 43-38=5\nMoving to Node #0,1\nCurrent State: 86:[38, 43, 29], Operations: ['17+12=29']\nExploring Operation: 43-29=14, Resulting Numbers: [38, 14]\nGenerated Node #0,1,0: 86:[38, 14] Operation: 43-29=14\nExploring Operation: 38-29=9, Resulting Numbers: [43, 9]\nGenerated Node #0,1,1: 86:[43, 9] Operation: 38-29=9\nExploring Operation: 43-38=5, Resulting Numbers: [29, 5]\nGenerated Node #0,1,2: 86:[29, 5] Operation: 43-38=5\nMoving to Node #0,2\nCurrent State: 86:[43, 12, 55], Operations: ['38+17=55']\nExploring Operation: 12+55=67, Resulting Numbers: [43, 67]\nGenerated Node #0,2,0: 86:[43, 67] Operation: 12+55=67\nExploring Operation: 55-43=12, Resulting Numbers: [12, 12]\nGenerated Node #0,2,1: 86:[12, 12] Operation: 55-43=12\nExploring Operation: 55-12=43, Resulting Numbers: [43, 43]\nGenerated Node #0,2,2: 86:[43, 43] Operation: 55-12=43\nMoving to Node #0,0,1\nCurrent State: 86:[43, 43], Operations: ['17-12=5', '38+5=43']\nExploring Operation: 43/43=1, Resulting Numbers: [1]\n1,86 unequal: No Solution\nExploring Operation: 43+43=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached\n", "role": "assistant" } ]
[ 84, 28, 3, 4 ]
12
[ "28+4=32", "3*32=96", "96-84=12" ]
Current State: 12:[84, 28, 3, 4], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [28, 3, 21] Generated Node #0,0: 12:[28, 3, 21] Operation: 84/4=21 Exploring Operation: 84/3=28, Resulting Numbers: [28, 4, 28] Generated Node #0,1: 12:[28, 4, 28] Operation: 84/3=28 Exploring Operation: 84/28=3, Resulting Numbers: [3, 4, 3] Generated Node #0,2: 12:[3, 4, 3] Operation: 84/28=3 Moving to Node #0,2 Current State: 12:[3, 4, 3], Operations: ['84/28=3'] Exploring Operation: 4*3=12, Resulting Numbers: [3, 12] Generated Node #0,2,0: 12:[3, 12] Operation: 4*3=12 Exploring Operation: 3*3=9, Resulting Numbers: [4, 9] Generated Node #0,2,1: 12:[4, 9] Operation: 3*3=9 Exploring Operation: 3*4=12, Resulting Numbers: [3, 12] Generated Node #0,2,2: 12:[3, 12] Operation: 3*4=12 Moving to Node #0,0 Current State: 12:[28, 3, 21], Operations: ['84/4=21'] Exploring Operation: 21/3=7, Resulting Numbers: [28, 7] Generated Node #0,0,0: 12:[28, 7] Operation: 21/3=7 Exploring Operation: 28-3=25, Resulting Numbers: [21, 25] Generated Node #0,0,1: 12:[21, 25] Operation: 28-3=25 Exploring Operation: 28-21=7, Resulting Numbers: [3, 7] Generated Node #0,0,2: 12:[3, 7] Operation: 28-21=7 Moving to Node #0,1 Current State: 12:[28, 4, 28], Operations: ['84/3=28'] Exploring Operation: 28/28=1, Resulting Numbers: [4, 1] Generated Node #0,1,0: 12:[4, 1] Operation: 28/28=1 Exploring Operation: 28/4=7, Resulting Numbers: [28, 7] Generated Node #0,1,1: 12:[28, 7] Operation: 28/4=7 Exploring Operation: 28-28=0, Resulting Numbers: [4, 0] Generated Node #0,1,2: 12:[4, 0] Operation: 28-28=0 Moving to Node #0,2,0 Current State: 12:[3, 12], Operations: ['84/28=3', '4*3=12'] Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,12 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,12 unequal: No Solution Moving to Node #0,2,2 Current State: 12:[3, 12], Operations: ['84/28=3', '3*4=12'] Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,12 unequal: No Solution Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,12 unequal: No Solution Moving to Node #0,2,1 Current State: 12:[4, 9], Operations: ['84/28=3', '3*3=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,12 unequal: No Solution Exploring Operation: 4+9=13, Resulting Numbers: [13] 13,12 unequal: No Solution Exploring Operation: 9-4=5, Resulting Numbers: [5] 5,12 unequal: No Solution Moving to Node #0,2,1,0 Current State: 12:[13], Operations: ['84/28=3', '3*3=9', '4+9=13'] Moving to Node #0,2,0,0 Current State: 12:[9], Operations: ['84/28=3', '4*3=12', '12-3=9'] Moving to Node #0,2,0,0 Current State: 12:[15], Operations: ['84/28=3', '4*3=12', '3+12=15'] Moving to Node #0,2,2,0 Current State: 12:[9], Operations: ['84/28=3', '3*4=12', '12-3=9'] Moving to Node #0,2,2,0 Current State: 12:[15], Operations: ['84/28=3', '3*4=12', '3+12=15'] Moving to Node #0,2,1,0 Current State: 12:[5], Operations: ['84/28=3', '3*3=9', '9-4=5'] Moving to Node #0,0,2 Current State: 12:[3, 7], Operations: ['84/4=21', '28-21=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,12 unequal: No Solution Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,12 unequal: No Solution Moving to Node #0,2,2,0 Current State: 12:[4], Operations: ['84/28=3', '3*4=12', '12/3=4'] Moving to Node #0,2,0,0 Current State: 12:[4], Operations: ['84/28=3', '4*3=12', '12/3=4'] Moving to Node #0,0,2,0 Current State: 12:[10], Operations: ['84/4=21', '28-21=7', '3+7=10'] Moving to Node #0,0,2,0 Current State: 12:[4], Operations: ['84/4=21', '28-21=7', '7-3=4'] Moving to Node #0,0,2,0 Current State: 12:[21], Operations: ['84/4=21', '28-21=7', '3*7=21'] Moving to Node #0,1,0 Current State: 12:[4, 1], Operations: ['84/3=28', '28/28=1'] Exploring Operation: 4+1=5, Resulting Numbers: [5] 5,12 unequal: No Solution Exploring Operation: 4*1=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,12 unequal: No Solution Moving to Node #0,1,2 Current State: 12:[4, 0], Operations: ['84/3=28', '28-28=0'] Exploring Operation: 4*0=0, Resulting Numbers: [0] 0,12 unequal: No Solution Exploring Operation: 4+0=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 4-0=4, Resulting Numbers: [4] 4,12 unequal: No Solution Moving to Node #0,0,0 Current State: 12:[28, 7], Operations: ['84/4=21', '21/3=7'] Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,12 unequal: No Solution Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,12 unequal: No Solution Exploring Operation: 28/7=4, Resulting Numbers: [4] 4,12 unequal: No Solution Moving to Node #0,1,0,0 Current State: 12:[5], Operations: ['84/3=28', '28/28=1', '4+1=5'] Moving to Node #0,1,0,0 Current State: 12:[4], Operations: ['84/3=28', '28/28=1', '4/1=4'] Moving to Node #0,1,2,0 Current State: 12:[4], Operations: ['84/3=28', '28-28=0', '4+0=4'] Moving to Node #0,1,0,0 Current State: 12:[4], Operations: ['84/3=28', '28/28=1', '4*1=4'] Moving to Node #0,0,0,0 Current State: 12:[4], Operations: ['84/4=21', '21/3=7', '28/7=4'] Moving to Node #0,1,2,0 Current State: 12:[4], Operations: ['84/3=28', '28-28=0', '4-0=4'] Moving to Node #0,0,0,0 Current State: 12:[21], Operations: ['84/4=21', '21/3=7', '28-7=21'] Moving to Node #0,1,1 Current State: 12:[28, 7], Operations: ['84/3=28', '28/4=7'] Exploring Operation: 28/7=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,12 unequal: No Solution Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,12 unequal: No Solution Moving to Node #0,0,1 Current State: 12:[21, 25], Operations: ['84/4=21', '28-3=25'] Exploring Operation: 21+25=46, Resulting Numbers: [46] 46,12 unequal: No Solution Exploring Operation: 25-21=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 21*25=525, Resulting Numbers: [525] 525,12 unequal: No Solution Moving to Node #0,1,1,0 Current State: 12:[4], Operations: ['84/3=28', '28/4=7', '28/7=4'] Moving to Node #0,0,1,0 Current State: 12:[4], Operations: ['84/4=21', '28-3=25', '25-21=4'] Moving to Node #0,1,1,0 Current State: 12:[21], Operations: ['84/3=28', '28/4=7', '28-7=21'] Moving to Node #0,1,2,0 Current State: 12:[0], Operations: ['84/3=28', '28-28=0', '4*0=0'] Moving to Node #0,1,1,0 Current State: 12:[35], Operations: ['84/3=28', '28/4=7', '28+7=35'] Moving to Node #0,0,0,0 Current State: 12:[35], Operations: ['84/4=21', '21/3=7', '28+7=35'] Moving to Node #0,2,1,0 Current State: 12:[36], Operations: ['84/28=3', '3*3=9', '4*9=36'] Moving to Node #0,0,1,0 Current State: 12:[46], Operations: ['84/4=21', '28-3=25', '21+25=46'] Moving to Node #0,0,1,0 Current State: 12:[525], Operations: ['84/4=21', '28-3=25', '21*25=525'] No solution found.
0
bfs_3
Current State: 12:[84, 28, 3, 4], Operations: [] Exploring Operation: 28+4=32, Resulting Numbers: [84, 3, 32] Generated Node #2: [84, 3, 32] from Operation: 28+4=32 Current State: 12:[84, 3, 32], Operations: ['28+4=32'] Exploring Operation: 3*32=96, Resulting Numbers: [84, 96] Generated Node #3: [84, 96] from Operation: 3*32=96 Current State: 12:[84, 96], Operations: ['28+4=32', '3*32=96'] Exploring Operation: 96-84=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
sum_heuristic
[ { "content": "Make 12 with the numbers [84, 28, 3, 4] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 12:[84, 28, 3, 4], Operations: []\nExploring Operation: 84/4=21, Resulting Numbers: [28, 3, 21]\nGenerated Node #0,0: 12:[28, 3, 21] Operation: 84/4=21\nExploring Operation: 84/3=28, Resulting Numbers: [28, 4, 28]\nGenerated Node #0,1: 12:[28, 4, 28] Operation: 84/3=28\nExploring Operation: 84/28=3, Resulting Numbers: [3, 4, 3]\nGenerated Node #0,2: 12:[3, 4, 3] Operation: 84/28=3\nMoving to Node #0,2\nCurrent State: 12:[3, 4, 3], Operations: ['84/28=3']\nExploring Operation: 4*3=12, Resulting Numbers: [3, 12]\nGenerated Node #0,2,0: 12:[3, 12] Operation: 4*3=12\nExploring Operation: 3*3=9, Resulting Numbers: [4, 9]\nGenerated Node #0,2,1: 12:[4, 9] Operation: 3*3=9\nExploring Operation: 3*4=12, Resulting Numbers: [3, 12]\nGenerated Node #0,2,2: 12:[3, 12] Operation: 3*4=12\nMoving to Node #0,0\nCurrent State: 12:[28, 3, 21], Operations: ['84/4=21']\nExploring Operation: 21/3=7, Resulting Numbers: [28, 7]\nGenerated Node #0,0,0: 12:[28, 7] Operation: 21/3=7\nExploring Operation: 28-3=25, Resulting Numbers: [21, 25]\nGenerated Node #0,0,1: 12:[21, 25] Operation: 28-3=25\nExploring Operation: 28-21=7, Resulting Numbers: [3, 7]\nGenerated Node #0,0,2: 12:[3, 7] Operation: 28-21=7\nMoving to Node #0,1\nCurrent State: 12:[28, 4, 28], Operations: ['84/3=28']\nExploring Operation: 28/28=1, Resulting Numbers: [4, 1]\nGenerated Node #0,1,0: 12:[4, 1] Operation: 28/28=1\nExploring Operation: 28/4=7, Resulting Numbers: [28, 7]\nGenerated Node #0,1,1: 12:[28, 7] Operation: 28/4=7\nExploring Operation: 28-28=0, Resulting Numbers: [4, 0]\nGenerated Node #0,1,2: 12:[4, 0] Operation: 28-28=0\nMoving to Node #0,2,0\nCurrent State: 12:[3, 12], Operations: ['84/28=3', '4*3=12']\nExploring Operation: 12-3=9, Resulting Numbers: [9]\n9,12 unequal: No Solution\nExploring Operation: 12/3=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nExploring Operation: 3+12=15, Resulting Numbers: [15]\n15,12 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 12:[3, 12], Operations: ['84/28=3', '3*4=12']\nExploring Operation: 12/3=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nExploring Operation: 12-3=9, Resulting Numbers: [9]\n9,12 unequal: No Solution\nExploring Operation: 3+12=15, Resulting Numbers: [15]\n15,12 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 12:[4, 9], Operations: ['84/28=3', '3*3=9']\nExploring Operation: 4*9=36, Resulting Numbers: [36]\n36,12 unequal: No Solution\nExploring Operation: 4+9=13, Resulting Numbers: [13]\n13,12 unequal: No Solution\nExploring Operation: 9-4=5, Resulting Numbers: [5]\n5,12 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 12:[13], Operations: ['84/28=3', '3*3=9', '4+9=13']\nMoving to Node #0,2,0,0\nCurrent State: 12:[9], Operations: ['84/28=3', '4*3=12', '12-3=9']\nMoving to Node #0,2,0,0\nCurrent State: 12:[15], Operations: ['84/28=3', '4*3=12', '3+12=15']\nMoving to Node #0,2,2,0\nCurrent State: 12:[9], Operations: ['84/28=3', '3*4=12', '12-3=9']\nMoving to Node #0,2,2,0\nCurrent State: 12:[15], Operations: ['84/28=3', '3*4=12', '3+12=15']\nMoving to Node #0,2,1,0\nCurrent State: 12:[5], Operations: ['84/28=3', '3*3=9', '9-4=5']\nMoving to Node #0,0,2\nCurrent State: 12:[3, 7], Operations: ['84/4=21', '28-21=7']\nExploring Operation: 3*7=21, Resulting Numbers: [21]\n21,12 unequal: No Solution\nExploring Operation: 7-3=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nExploring Operation: 3+7=10, Resulting Numbers: [10]\n10,12 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 12:[4], Operations: ['84/28=3', '3*4=12', '12/3=4']\nMoving to Node #0,2,0,0\nCurrent State: 12:[4], Operations: ['84/28=3', '4*3=12', '12/3=4']\nMoving to Node #0,0,2,0\nCurrent State: 12:[10], Operations: ['84/4=21', '28-21=7', '3+7=10']\nMoving to Node #0,0,2,0\nCurrent State: 12:[4], Operations: ['84/4=21', '28-21=7', '7-3=4']\nMoving to Node #0,0,2,0\nCurrent State: 12:[21], Operations: ['84/4=21', '28-21=7', '3*7=21']\nMoving to Node #0,1,0\nCurrent State: 12:[4, 1], Operations: ['84/3=28', '28/28=1']\nExploring Operation: 4+1=5, Resulting Numbers: [5]\n5,12 unequal: No Solution\nExploring Operation: 4*1=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nExploring Operation: 4/1=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 12:[4, 0], Operations: ['84/3=28', '28-28=0']\nExploring Operation: 4*0=0, Resulting Numbers: [0]\n0,12 unequal: No Solution\nExploring Operation: 4+0=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nExploring Operation: 4-0=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 12:[28, 7], Operations: ['84/4=21', '21/3=7']\nExploring Operation: 28-7=21, Resulting Numbers: [21]\n21,12 unequal: No Solution\nExploring Operation: 28+7=35, Resulting Numbers: [35]\n35,12 unequal: No Solution\nExploring Operation: 28/7=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 12:[5], Operations: ['84/3=28', '28/28=1', '4+1=5']\nMoving to Node #0,1,0,0\nCurrent State: 12:[4], Operations: ['84/3=28', '28/28=1', '4/1=4']\nMoving to Node #0,1,2,0\nCurrent State: 12:[4], Operations: ['84/3=28', '28-28=0', '4+0=4']\nMoving to Node #0,1,0,0\nCurrent State: 12:[4], Operations: ['84/3=28', '28/28=1', '4*1=4']\nMoving to Node #0,0,0,0\nCurrent State: 12:[4], Operations: ['84/4=21', '21/3=7', '28/7=4']\nMoving to Node #0,1,2,0\nCurrent State: 12:[4], Operations: ['84/3=28', '28-28=0', '4-0=4']\nMoving to Node #0,0,0,0\nCurrent State: 12:[21], Operations: ['84/4=21', '21/3=7', '28-7=21']\nMoving to Node #0,1,1\nCurrent State: 12:[28, 7], Operations: ['84/3=28', '28/4=7']\nExploring Operation: 28/7=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nExploring Operation: 28+7=35, Resulting Numbers: [35]\n35,12 unequal: No Solution\nExploring Operation: 28-7=21, Resulting Numbers: [21]\n21,12 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 12:[21, 25], Operations: ['84/4=21', '28-3=25']\nExploring Operation: 21+25=46, Resulting Numbers: [46]\n46,12 unequal: No Solution\nExploring Operation: 25-21=4, Resulting Numbers: [4]\n4,12 unequal: No Solution\nExploring Operation: 21*25=525, Resulting Numbers: [525]\n525,12 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 12:[4], Operations: ['84/3=28', '28/4=7', '28/7=4']\nMoving to Node #0,0,1,0\nCurrent State: 12:[4], Operations: ['84/4=21', '28-3=25', '25-21=4']\nMoving to Node #0,1,1,0\nCurrent State: 12:[21], Operations: ['84/3=28', '28/4=7', '28-7=21']\nMoving to Node #0,1,2,0\nCurrent State: 12:[0], Operations: ['84/3=28', '28-28=0', '4*0=0']\nMoving to Node #0,1,1,0\nCurrent State: 12:[35], Operations: ['84/3=28', '28/4=7', '28+7=35']\nMoving to Node #0,0,0,0\nCurrent State: 12:[35], Operations: ['84/4=21', '21/3=7', '28+7=35']\nMoving to Node #0,2,1,0\nCurrent State: 12:[36], Operations: ['84/28=3', '3*3=9', '4*9=36']\nMoving to Node #0,0,1,0\nCurrent State: 12:[46], Operations: ['84/4=21', '28-3=25', '21+25=46']\nMoving to Node #0,0,1,0\nCurrent State: 12:[525], Operations: ['84/4=21', '28-3=25', '21*25=525']\nNo solution found.", "role": "assistant" } ]
[ 79, 40, 52, 54 ]
38
[ "79-52=27", "54/27=2", "40-2=38" ]
Current State: 38:[79, 40, 52, 54], Operations: [] Exploring Operation: 79-54=25, Resulting Numbers: [40, 52, 25] Generated Node #0,0: 38:[40, 52, 25] Operation: 79-54=25 Exploring Operation: 54-40=14, Resulting Numbers: [79, 52, 14] Generated Node #0,1: 38:[79, 52, 14] Operation: 54-40=14 Exploring Operation: 79-52=27, Resulting Numbers: [40, 54, 27] Generated Node #0,2: 38:[40, 54, 27] Operation: 79-52=27 Exploring Operation: 79-40=39, Resulting Numbers: [52, 54, 39] Generated Node #0,3: 38:[52, 54, 39] Operation: 79-40=39 Moving to Node #0,0 Current State: 38:[40, 52, 25], Operations: ['79-54=25'] Exploring Operation: 52-25=27, Resulting Numbers: [40, 27] Generated Node #0,0,0: 38:[40, 27] Operation: 52-25=27 Exploring Operation: 52-40=12, Resulting Numbers: [25, 12] Generated Node #0,0,1: 38:[25, 12] Operation: 52-40=12 Exploring Operation: 40-25=15, Resulting Numbers: [52, 15] Generated Node #0,0,2: 38:[52, 15] Operation: 40-25=15 Exploring Operation: 40+25=65, Resulting Numbers: [52, 65] Generated Node #0,0,3: 38:[52, 65] Operation: 40+25=65 Moving to Node #0,2 Current State: 38:[40, 54, 27], Operations: ['79-52=27'] Exploring Operation: 54-27=27, Resulting Numbers: [40, 27] Generated Node #0,2,0: 38:[40, 27] Operation: 54-27=27 Exploring Operation: 54/27=2, Resulting Numbers: [40, 2] Generated Node #0,2,1: 38:[40, 2] Operation: 54/27=2 Exploring Operation: 54-40=14, Resulting Numbers: [27, 14] Generated Node #0,2,2: 38:[27, 14] Operation: 54-40=14 Exploring Operation: 40-27=13, Resulting Numbers: [54, 13] Generated Node #0,2,3: 38:[54, 13] Operation: 40-27=13 Moving to Node #0,3 Current State: 38:[52, 54, 39], Operations: ['79-40=39'] Exploring Operation: 52+54=106, Resulting Numbers: [39, 106] Generated Node #0,3,0: 38:[39, 106] Operation: 52+54=106 Exploring Operation: 54-39=15, Resulting Numbers: [52, 15] Generated Node #0,3,1: 38:[52, 15] Operation: 54-39=15 Exploring Operation: 52-39=13, Resulting Numbers: [54, 13] Generated Node #0,3,2: 38:[54, 13] Operation: 52-39=13 Exploring Operation: 54-52=2, Resulting Numbers: [39, 2] Generated Node #0,3,3: 38:[39, 2] Operation: 54-52=2 Moving to Node #0,1 Current State: 38:[79, 52, 14], Operations: ['54-40=14'] Exploring Operation: 79-52=27, Resulting Numbers: [14, 27] Generated Node #0,1,0: 38:[14, 27] Operation: 79-52=27 Exploring Operation: 79-14=65, Resulting Numbers: [52, 65] Generated Node #0,1,1: 38:[52, 65] Operation: 79-14=65 Exploring Operation: 79+14=93, Resulting Numbers: [52, 93] Generated Node #0,1,2: 38:[52, 93] Operation: 79+14=93 Exploring Operation: 52-14=38, Resulting Numbers: [79, 38] Generated Node #0,1,3: 38:[79, 38] Operation: 52-14=38 Moving to Node #0,0,0 Current State: 38:[40, 27], Operations: ['79-54=25', '52-25=27'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,38 unequal: No Solution Exploring Operation: 40*27=1080, Resulting Numbers: [1080] 1080,38 unequal: No Solution Exploring Operation: 40+27=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,2,0 Current State: 38:[40, 27], Operations: ['79-52=27', '54-27=27'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,38 unequal: No Solution Exploring Operation: 40+27=67, Resulting Numbers: [67] 67,38 unequal: No Solution Exploring Operation: 40*27=1080, Resulting Numbers: [1080] 1080,38 unequal: No Solution Moving to Node #0,2,2 Current State: 38:[27, 14], Operations: ['79-52=27', '54-40=14'] Exploring Operation: 27+14=41, Resulting Numbers: [41] 41,38 unequal: No Solution Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,38 unequal: No Solution Exploring Operation: 27*14=378, Resulting Numbers: [378] 378,38 unequal: No Solution Moving to Node #0,1,0 Current State: 38:[14, 27], Operations: ['54-40=14', '79-52=27'] Exploring Operation: 14*27=378, Resulting Numbers: [378] 378,38 unequal: No Solution Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,38 unequal: No Solution Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,38 unequal: No Solution Moving to Node #0,2,2,0 Current State: 38:[41], Operations: ['79-52=27', '54-40=14', '27+14=41'] Moving to Node #0,1,0,0 Current State: 38:[41], Operations: ['54-40=14', '79-52=27', '14+27=41'] Moving to Node #0,0,2 Current State: 38:[52, 15], Operations: ['79-54=25', '40-25=15'] Exploring Operation: 52*15=780, Resulting Numbers: [780] 780,38 unequal: No Solution Exploring Operation: 52-15=37, Resulting Numbers: [37] 37,38 unequal: No Solution Exploring Operation: 52+15=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,3,3 Current State: 38:[39, 2], Operations: ['79-40=39', '54-52=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,38 unequal: No Solution Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,38 unequal: No Solution Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,38 unequal: No Solution Moving to Node #0,0,2,0 Current State: 38:[37], Operations: ['79-54=25', '40-25=15', '52-15=37'] Moving to Node #0,3,3,0 Current State: 38:[37], Operations: ['79-40=39', '54-52=2', '39-2=37'] Moving to Node #0,3,3,0 Current State: 38:[41], Operations: ['79-40=39', '54-52=2', '39+2=41'] Moving to Node #0,3,1 Current State: 38:[52, 15], Operations: ['79-40=39', '54-39=15'] Exploring Operation: 52-15=37, Resulting Numbers: [37] 37,38 unequal: No Solution Exploring Operation: 52*15=780, Resulting Numbers: [780] 780,38 unequal: No Solution Exploring Operation: 52+15=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,3,1,0 Current State: 38:[37], Operations: ['79-40=39', '54-39=15', '52-15=37'] Moving to Node #0,2,1 Current State: 38:[40, 2], Operations: ['79-52=27', '54/27=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
0.962674
bfs_4
Current State: 38:[79, 40, 52, 54], Operations: [] Exploring Operation: 79-52=27, Resulting Numbers: [40, 54, 27] Generated Node #2: [40, 54, 27] from Operation: 79-52=27 Current State: 38:[40, 54, 27], Operations: ['79-52=27'] Exploring Operation: 54/27=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 54/27=2 Current State: 38:[40, 2], Operations: ['79-52=27', '54/27=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
sum_heuristic
[ { "content": "Make 38 with the numbers [79, 40, 52, 54] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 38:[79, 40, 52, 54], Operations: []\nExploring Operation: 79-54=25, Resulting Numbers: [40, 52, 25]\nGenerated Node #0,0: 38:[40, 52, 25] Operation: 79-54=25\nExploring Operation: 54-40=14, Resulting Numbers: [79, 52, 14]\nGenerated Node #0,1: 38:[79, 52, 14] Operation: 54-40=14\nExploring Operation: 79-52=27, Resulting Numbers: [40, 54, 27]\nGenerated Node #0,2: 38:[40, 54, 27] Operation: 79-52=27\nExploring Operation: 79-40=39, Resulting Numbers: [52, 54, 39]\nGenerated Node #0,3: 38:[52, 54, 39] Operation: 79-40=39\nMoving to Node #0,0\nCurrent State: 38:[40, 52, 25], Operations: ['79-54=25']\nExploring Operation: 52-25=27, Resulting Numbers: [40, 27]\nGenerated Node #0,0,0: 38:[40, 27] Operation: 52-25=27\nExploring Operation: 52-40=12, Resulting Numbers: [25, 12]\nGenerated Node #0,0,1: 38:[25, 12] Operation: 52-40=12\nExploring Operation: 40-25=15, Resulting Numbers: [52, 15]\nGenerated Node #0,0,2: 38:[52, 15] Operation: 40-25=15\nExploring Operation: 40+25=65, Resulting Numbers: [52, 65]\nGenerated Node #0,0,3: 38:[52, 65] Operation: 40+25=65\nMoving to Node #0,2\nCurrent State: 38:[40, 54, 27], Operations: ['79-52=27']\nExploring Operation: 54-27=27, Resulting Numbers: [40, 27]\nGenerated Node #0,2,0: 38:[40, 27] Operation: 54-27=27\nExploring Operation: 54/27=2, Resulting Numbers: [40, 2]\nGenerated Node #0,2,1: 38:[40, 2] Operation: 54/27=2\nExploring Operation: 54-40=14, Resulting Numbers: [27, 14]\nGenerated Node #0,2,2: 38:[27, 14] Operation: 54-40=14\nExploring Operation: 40-27=13, Resulting Numbers: [54, 13]\nGenerated Node #0,2,3: 38:[54, 13] Operation: 40-27=13\nMoving to Node #0,3\nCurrent State: 38:[52, 54, 39], Operations: ['79-40=39']\nExploring Operation: 52+54=106, Resulting Numbers: [39, 106]\nGenerated Node #0,3,0: 38:[39, 106] Operation: 52+54=106\nExploring Operation: 54-39=15, Resulting Numbers: [52, 15]\nGenerated Node #0,3,1: 38:[52, 15] Operation: 54-39=15\nExploring Operation: 52-39=13, Resulting Numbers: [54, 13]\nGenerated Node #0,3,2: 38:[54, 13] Operation: 52-39=13\nExploring Operation: 54-52=2, Resulting Numbers: [39, 2]\nGenerated Node #0,3,3: 38:[39, 2] Operation: 54-52=2\nMoving to Node #0,1\nCurrent State: 38:[79, 52, 14], Operations: ['54-40=14']\nExploring Operation: 79-52=27, Resulting Numbers: [14, 27]\nGenerated Node #0,1,0: 38:[14, 27] Operation: 79-52=27\nExploring Operation: 79-14=65, Resulting Numbers: [52, 65]\nGenerated Node #0,1,1: 38:[52, 65] Operation: 79-14=65\nExploring Operation: 79+14=93, Resulting Numbers: [52, 93]\nGenerated Node #0,1,2: 38:[52, 93] Operation: 79+14=93\nExploring Operation: 52-14=38, Resulting Numbers: [79, 38]\nGenerated Node #0,1,3: 38:[79, 38] Operation: 52-14=38\nMoving to Node #0,0,0\nCurrent State: 38:[40, 27], Operations: ['79-54=25', '52-25=27']\nExploring Operation: 40-27=13, Resulting Numbers: [13]\n13,38 unequal: No Solution\nExploring Operation: 40*27=1080, Resulting Numbers: [1080]\n1080,38 unequal: No Solution\nExploring Operation: 40+27=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 38:[40, 27], Operations: ['79-52=27', '54-27=27']\nExploring Operation: 40-27=13, Resulting Numbers: [13]\n13,38 unequal: No Solution\nExploring Operation: 40+27=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nExploring Operation: 40*27=1080, Resulting Numbers: [1080]\n1080,38 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 38:[27, 14], Operations: ['79-52=27', '54-40=14']\nExploring Operation: 27+14=41, Resulting Numbers: [41]\n41,38 unequal: No Solution\nExploring Operation: 27-14=13, Resulting Numbers: [13]\n13,38 unequal: No Solution\nExploring Operation: 27*14=378, Resulting Numbers: [378]\n378,38 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 38:[14, 27], Operations: ['54-40=14', '79-52=27']\nExploring Operation: 14*27=378, Resulting Numbers: [378]\n378,38 unequal: No Solution\nExploring Operation: 27-14=13, Resulting Numbers: [13]\n13,38 unequal: No Solution\nExploring Operation: 14+27=41, Resulting Numbers: [41]\n41,38 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 38:[41], Operations: ['79-52=27', '54-40=14', '27+14=41']\nMoving to Node #0,1,0,0\nCurrent State: 38:[41], Operations: ['54-40=14', '79-52=27', '14+27=41']\nMoving to Node #0,0,2\nCurrent State: 38:[52, 15], Operations: ['79-54=25', '40-25=15']\nExploring Operation: 52*15=780, Resulting Numbers: [780]\n780,38 unequal: No Solution\nExploring Operation: 52-15=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nExploring Operation: 52+15=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 38:[39, 2], Operations: ['79-40=39', '54-52=2']\nExploring Operation: 39+2=41, Resulting Numbers: [41]\n41,38 unequal: No Solution\nExploring Operation: 39-2=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nExploring Operation: 39*2=78, Resulting Numbers: [78]\n78,38 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 38:[37], Operations: ['79-54=25', '40-25=15', '52-15=37']\nMoving to Node #0,3,3,0\nCurrent State: 38:[37], Operations: ['79-40=39', '54-52=2', '39-2=37']\nMoving to Node #0,3,3,0\nCurrent State: 38:[41], Operations: ['79-40=39', '54-52=2', '39+2=41']\nMoving to Node #0,3,1\nCurrent State: 38:[52, 15], Operations: ['79-40=39', '54-39=15']\nExploring Operation: 52-15=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nExploring Operation: 52*15=780, Resulting Numbers: [780]\n780,38 unequal: No Solution\nExploring Operation: 52+15=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 38:[37], Operations: ['79-40=39', '54-39=15', '52-15=37']\nMoving to Node #0,2,1\nCurrent State: 38:[40, 2], Operations: ['79-52=27', '54/27=2']\nExploring Operation: 40-2=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached\n", "role": "assistant" } ]
[ 19, 16, 3, 16 ]
16
[ "19+16=35", "3+16=19", "35-19=16" ]
Current State: 16:[19, 16, 3, 16], Operations: [] Exploring Operation: 19-3=16, Resulting Numbers: [16, 16, 16] Generated Node #0,0: 16:[16, 16, 16] Operation: 19-3=16 Exploring Operation: 19+3=22, Resulting Numbers: [16, 16, 22] Generated Node #0,1: 16:[16, 16, 22] Operation: 19+3=22 Exploring Operation: 16+3=19, Resulting Numbers: [19, 16, 19] Generated Node #0,2: 16:[19, 16, 19] Operation: 16+3=19 Moving to Node #0,0 Current State: 16:[16, 16, 16], Operations: ['19-3=16'] Exploring Operation: 16/16=1, Resulting Numbers: [16, 1] Generated Node #0,0,0: 16:[16, 1] Operation: 16/16=1 Exploring Operation: 16/16=1, Resulting Numbers: [16, 1] Generated Node #0,0,1: 16:[16, 1] Operation: 16/16=1 Exploring Operation: 16/16=1, Resulting Numbers: [16, 1] Generated Node #0,0,2: 16:[16, 1] Operation: 16/16=1 Moving to Node #0,1 Current State: 16:[16, 16, 22], Operations: ['19+3=22'] Exploring Operation: 16/16=1, Resulting Numbers: [22, 1] Generated Node #0,1,0: 16:[22, 1] Operation: 16/16=1 Exploring Operation: 22-16=6, Resulting Numbers: [16, 6] Generated Node #0,1,1: 16:[16, 6] Operation: 22-16=6 Exploring Operation: 22-16=6, Resulting Numbers: [16, 6] Generated Node #0,1,2: 16:[16, 6] Operation: 22-16=6 Moving to Node #0,2 Current State: 16:[19, 16, 19], Operations: ['16+3=19'] Exploring Operation: 19-19=0, Resulting Numbers: [16, 0] Generated Node #0,2,0: 16:[16, 0] Operation: 19-19=0 Exploring Operation: 19/19=1, Resulting Numbers: [16, 1] Generated Node #0,2,1: 16:[16, 1] Operation: 19/19=1 Exploring Operation: 19-16=3, Resulting Numbers: [19, 3] Generated Node #0,2,2: 16:[19, 3] Operation: 19-16=3 Moving to Node #0,1,1 Current State: 16:[16, 6], Operations: ['19+3=22', '22-16=6'] Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,16 unequal: No Solution Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,16 unequal: No Solution Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,16 unequal: No Solution Moving to Node #0,1,2 Current State: 16:[16, 6], Operations: ['19+3=22', '22-16=6'] Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,16 unequal: No Solution Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,16 unequal: No Solution Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,16 unequal: No Solution Moving to Node #0,0,2 Current State: 16:[16, 1], Operations: ['19-3=16', '16/16=1'] Exploring Operation: 16/1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
0.982639
bfs_3
Current State: 16:[19, 16, 3, 16], Operations: [] Exploring Operation: 19+16=35, Resulting Numbers: [3, 35] Generated Node #2: [3, 35] from Operation: 19+16=35 Current State: 16:[3, 35], Operations: ['19+16=35'] Exploring Operation: 3+16=19, Resulting Numbers: [35, 19] Generated Node #3: [35, 19] from Operation: 3+16=19 Current State: 16:[35, 19], Operations: ['19+16=35', '3+16=19'] Exploring Operation: 35-19=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
sum_heuristic
[ { "content": "Make 16 with the numbers [19, 16, 3, 16] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 16:[19, 16, 3, 16], Operations: []\nExploring Operation: 19-3=16, Resulting Numbers: [16, 16, 16]\nGenerated Node #0,0: 16:[16, 16, 16] Operation: 19-3=16\nExploring Operation: 19+3=22, Resulting Numbers: [16, 16, 22]\nGenerated Node #0,1: 16:[16, 16, 22] Operation: 19+3=22\nExploring Operation: 16+3=19, Resulting Numbers: [19, 16, 19]\nGenerated Node #0,2: 16:[19, 16, 19] Operation: 16+3=19\nMoving to Node #0,0\nCurrent State: 16:[16, 16, 16], Operations: ['19-3=16']\nExploring Operation: 16/16=1, Resulting Numbers: [16, 1]\nGenerated Node #0,0,0: 16:[16, 1] Operation: 16/16=1\nExploring Operation: 16/16=1, Resulting Numbers: [16, 1]\nGenerated Node #0,0,1: 16:[16, 1] Operation: 16/16=1\nExploring Operation: 16/16=1, Resulting Numbers: [16, 1]\nGenerated Node #0,0,2: 16:[16, 1] Operation: 16/16=1\nMoving to Node #0,1\nCurrent State: 16:[16, 16, 22], Operations: ['19+3=22']\nExploring Operation: 16/16=1, Resulting Numbers: [22, 1]\nGenerated Node #0,1,0: 16:[22, 1] Operation: 16/16=1\nExploring Operation: 22-16=6, Resulting Numbers: [16, 6]\nGenerated Node #0,1,1: 16:[16, 6] Operation: 22-16=6\nExploring Operation: 22-16=6, Resulting Numbers: [16, 6]\nGenerated Node #0,1,2: 16:[16, 6] Operation: 22-16=6\nMoving to Node #0,2\nCurrent State: 16:[19, 16, 19], Operations: ['16+3=19']\nExploring Operation: 19-19=0, Resulting Numbers: [16, 0]\nGenerated Node #0,2,0: 16:[16, 0] Operation: 19-19=0\nExploring Operation: 19/19=1, Resulting Numbers: [16, 1]\nGenerated Node #0,2,1: 16:[16, 1] Operation: 19/19=1\nExploring Operation: 19-16=3, Resulting Numbers: [19, 3]\nGenerated Node #0,2,2: 16:[19, 3] Operation: 19-16=3\nMoving to Node #0,1,1\nCurrent State: 16:[16, 6], Operations: ['19+3=22', '22-16=6']\nExploring Operation: 16*6=96, Resulting Numbers: [96]\n96,16 unequal: No Solution\nExploring Operation: 16-6=10, Resulting Numbers: [10]\n10,16 unequal: No Solution\nExploring Operation: 16+6=22, Resulting Numbers: [22]\n22,16 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 16:[16, 6], Operations: ['19+3=22', '22-16=6']\nExploring Operation: 16-6=10, Resulting Numbers: [10]\n10,16 unequal: No Solution\nExploring Operation: 16*6=96, Resulting Numbers: [96]\n96,16 unequal: No Solution\nExploring Operation: 16+6=22, Resulting Numbers: [22]\n22,16 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 16:[16, 1], Operations: ['19-3=16', '16/16=1']\nExploring Operation: 16/1=16, Resulting Numbers: [16]\n16,16 equal: Goal Reached\n", "role": "assistant" } ]
[ 63, 21, 95, 81 ]
11
[ "63/21=3", "95-81=14", "14-3=11" ]
Current State: 11:[63, 21, 95, 81], Operations: []
0
dfs
Current State: 11:[63, 21, 95, 81], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [95, 81, 3] Generated Node #2: [95, 81, 3] from Operation: 63/21=3 Current State: 11:[95, 81, 3], Operations: ['63/21=3'] Exploring Operation: 95-81=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 95-81=14 Current State: 11:[3, 14], Operations: ['63/21=3', '95-81=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
sum_heuristic
[ { "content": "Make 11 with the numbers [63, 21, 95, 81] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 11:[63, 21, 95, 81], Operations: []\n", "role": "assistant" } ]
[ 68, 24, 35, 60 ]
38
[ "68-60=8", "24/8=3", "35+3=38" ]
Current State: 38:[68, 24, 35, 60], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [35, 60, 44] Generated Node #0,0: 38:[35, 60, 44] Operation: 68-24=44 Moving to Node #0,0 Current State: 38:[35, 60, 44], Operations: ['68-24=44'] Exploring Operation: 60-35=25, Resulting Numbers: [44, 25] Generated Node #0,0,0: 38:[44, 25] Operation: 60-35=25 Moving to Node #0,0,0 Current State: 38:[44, 25], Operations: ['68-24=44', '60-35=25'] Exploring Operation: 44-25=19, Resulting Numbers: [19] 19,38 unequal: No Solution Moving to Node #0,0,0 Current State: 38:[44, 25], Operations: ['68-24=44', '60-35=25'] Exploring Operation: 44+25=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0,0 Current State: 38:[35, 60, 44], Operations: ['68-24=44'] Exploring Operation: 60-44=16, Resulting Numbers: [35, 16] Generated Node #0,0,1: 38:[35, 16] Operation: 60-44=16 Moving to Node #0,0,1 Current State: 38:[35, 16], Operations: ['68-24=44', '60-44=16'] Exploring Operation: 35+16=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,0,1 Current State: 38:[35, 16], Operations: ['68-24=44', '60-44=16'] Exploring Operation: 35-16=19, Resulting Numbers: [19] 19,38 unequal: No Solution Moving to Node #0,0 Current State: 38:[35, 60, 44], Operations: ['68-24=44'] Exploring Operation: 44-35=9, Resulting Numbers: [60, 9] Generated Node #0,0,2: 38:[60, 9] Operation: 44-35=9 Moving to Node #0,0,2 Current State: 38:[60, 9], Operations: ['68-24=44', '44-35=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,0,2 Current State: 38:[60, 9], Operations: ['68-24=44', '44-35=9'] Exploring Operation: 60+9=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0,0 Current State: 38:[35, 60, 44], Operations: ['68-24=44'] Exploring Operation: 35+60=95, Resulting Numbers: [44, 95] Generated Node #0,0,3: 38:[44, 95] Operation: 35+60=95 Moving to Node #0,0,3 Current State: 38:[44, 95], Operations: ['68-24=44', '35+60=95'] Exploring Operation: 95-44=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,0 Current State: 38:[35, 60, 44], Operations: ['68-24=44'] Exploring Operation: 35+44=79, Resulting Numbers: [60, 79] Generated Node #0,0,4: 38:[60, 79] Operation: 35+44=79 Moving to Node #0,0,4 Current State: 38:[60, 79], Operations: ['68-24=44', '35+44=79'] Exploring Operation: 79-60=19, Resulting Numbers: [19] 19,38 unequal: No Solution Moving to Node #0,0 Current State: 38:[35, 60, 44], Operations: ['68-24=44'] Exploring Operation: 60+44=104, Resulting Numbers: [35, 104] Generated Node #0,0,5: 38:[35, 104] Operation: 60+44=104 Moving to Node #0,0,5 Current State: 38:[35, 104], Operations: ['68-24=44', '60+44=104'] Exploring Operation: 104-35=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0 Current State: 38:[68, 24, 35, 60], Operations: [] Exploring Operation: 60-24=36, Resulting Numbers: [68, 35, 36] Generated Node #0,1: 38:[68, 35, 36] Operation: 60-24=36 Moving to Node #0,1 Current State: 38:[68, 35, 36], Operations: ['60-24=36'] Exploring Operation: 68-35=33, Resulting Numbers: [36, 33] Generated Node #0,1,0: 38:[36, 33] Operation: 68-35=33 Moving to Node #0,1,0 Current State: 38:[36, 33], Operations: ['60-24=36', '68-35=33'] Exploring Operation: 36+33=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0,1,0 Current State: 38:[36, 33], Operations: ['60-24=36', '68-35=33'] Exploring Operation: 36-33=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,1 Current State: 38:[68, 35, 36], Operations: ['60-24=36'] Exploring Operation: 68-36=32, Resulting Numbers: [35, 32] Generated Node #0,1,1: 38:[35, 32] Operation: 68-36=32 Moving to Node #0,1,1 Current State: 38:[35, 32], Operations: ['60-24=36', '68-36=32'] Exploring Operation: 35+32=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,1,1 Current State: 38:[35, 32], Operations: ['60-24=36', '68-36=32'] Exploring Operation: 35-32=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,1 Current State: 38:[68, 35, 36], Operations: ['60-24=36'] Exploring Operation: 35+36=71, Resulting Numbers: [68, 71] Generated Node #0,1,2: 38:[68, 71] Operation: 35+36=71 Moving to Node #0,1,2 Current State: 38:[68, 71], Operations: ['60-24=36', '35+36=71'] Exploring Operation: 71-68=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,1 Current State: 38:[68, 35, 36], Operations: ['60-24=36'] Exploring Operation: 68+35=103, Resulting Numbers: [36, 103] Generated Node #0,1,3: 38:[36, 103] Operation: 68+35=103 Moving to Node #0,1,3 Current State: 38:[36, 103], Operations: ['60-24=36', '68+35=103'] Exploring Operation: 103-36=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,1 Current State: 38:[68, 35, 36], Operations: ['60-24=36'] Exploring Operation: 36-35=1, Resulting Numbers: [68, 1] Generated Node #0,1,4: 38:[68, 1] Operation: 36-35=1 Moving to Node #0,1,4 Current State: 38:[68, 1], Operations: ['60-24=36', '36-35=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,1,4 Current State: 38:[68, 1], Operations: ['60-24=36', '36-35=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,38 unequal: No Solution Moving to Node #0,1,4 Current State: 38:[68, 1], Operations: ['60-24=36', '36-35=1'] Exploring Operation: 68/1=68, Resulting Numbers: [68] 68,38 unequal: No Solution Moving to Node #0,1,4 Current State: 38:[68, 1], Operations: ['60-24=36', '36-35=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0,1 Current State: 38:[68, 35, 36], Operations: ['60-24=36'] Exploring Operation: 68+36=104, Resulting Numbers: [35, 104] Generated Node #0,1,5: 38:[35, 104] Operation: 68+36=104 Moving to Node #0,1,5 Current State: 38:[35, 104], Operations: ['60-24=36', '68+36=104'] Exploring Operation: 104-35=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0 Current State: 38:[68, 24, 35, 60], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [24, 60, 33] Generated Node #0,2: 38:[24, 60, 33] Operation: 68-35=33 Moving to Node #0,2 Current State: 38:[24, 60, 33], Operations: ['68-35=33'] Exploring Operation: 60-24=36, Resulting Numbers: [33, 36] Generated Node #0,2,0: 38:[33, 36] Operation: 60-24=36 Moving to Node #0,2,0 Current State: 38:[33, 36], Operations: ['68-35=33', '60-24=36'] Exploring Operation: 33+36=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0,2,0 Current State: 38:[33, 36], Operations: ['68-35=33', '60-24=36'] Exploring Operation: 36-33=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,2 Current State: 38:[24, 60, 33], Operations: ['68-35=33'] Exploring Operation: 60-33=27, Resulting Numbers: [24, 27] Generated Node #0,2,1: 38:[24, 27] Operation: 60-33=27 Moving to Node #0,2,1 Current State: 38:[24, 27], Operations: ['68-35=33', '60-33=27'] Exploring Operation: 24+27=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,2,1 Current State: 38:[24, 27], Operations: ['68-35=33', '60-33=27'] Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,2 Current State: 38:[24, 60, 33], Operations: ['68-35=33'] Exploring Operation: 24+33=57, Resulting Numbers: [60, 57] Generated Node #0,2,2: 38:[60, 57] Operation: 24+33=57 Moving to Node #0,2,2 Current State: 38:[60, 57], Operations: ['68-35=33', '24+33=57'] Exploring Operation: 60-57=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,2 Current State: 38:[24, 60, 33], Operations: ['68-35=33'] Exploring Operation: 24+60=84, Resulting Numbers: [33, 84] Generated Node #0,2,3: 38:[33, 84] Operation: 24+60=84 Moving to Node #0,2,3 Current State: 38:[33, 84], Operations: ['68-35=33', '24+60=84'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,2 Current State: 38:[24, 60, 33], Operations: ['68-35=33'] Exploring Operation: 33-24=9, Resulting Numbers: [60, 9] Generated Node #0,2,4: 38:[60, 9] Operation: 33-24=9 Moving to Node #0,2,4 Current State: 38:[60, 9], Operations: ['68-35=33', '33-24=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,2,4 Current State: 38:[60, 9], Operations: ['68-35=33', '33-24=9'] Exploring Operation: 60+9=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0,2 Current State: 38:[24, 60, 33], Operations: ['68-35=33'] Exploring Operation: 60+33=93, Resulting Numbers: [24, 93] Generated Node #0,2,5: 38:[24, 93] Operation: 60+33=93 Moving to Node #0,2,5 Current State: 38:[24, 93], Operations: ['68-35=33', '60+33=93'] Exploring Operation: 93-24=69, Resulting Numbers: [69] 69,38 unequal: No Solution Moving to Node #0 Current State: 38:[68, 24, 35, 60], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [24, 35, 8] Generated Node #0,3: 38:[24, 35, 8] Operation: 68-60=8 Moving to Node #0,3 Current State: 38:[24, 35, 8], Operations: ['68-60=8'] Exploring Operation: 24+8=32, Resulting Numbers: [35, 32] Generated Node #0,3,0: 38:[35, 32] Operation: 24+8=32 Moving to Node #0,3,0 Current State: 38:[35, 32], Operations: ['68-60=8', '24+8=32'] Exploring Operation: 35+32=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,3,0 Current State: 38:[35, 32], Operations: ['68-60=8', '24+8=32'] Exploring Operation: 35-32=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,3 Current State: 38:[24, 35, 8], Operations: ['68-60=8'] Exploring Operation: 35+8=43, Resulting Numbers: [24, 43] Generated Node #0,3,1: 38:[24, 43] Operation: 35+8=43 Moving to Node #0,3,1 Current State: 38:[24, 43], Operations: ['68-60=8', '35+8=43'] Exploring Operation: 43-24=19, Resulting Numbers: [19] 19,38 unequal: No Solution Moving to Node #0,3,1 Current State: 38:[24, 43], Operations: ['68-60=8', '35+8=43'] Exploring Operation: 24+43=67, Resulting Numbers: [67] 67,38 unequal: No Solution Moving to Node #0,3 Current State: 38:[24, 35, 8], Operations: ['68-60=8'] Exploring Operation: 24-8=16, Resulting Numbers: [35, 16] Generated Node #0,3,2: 38:[35, 16] Operation: 24-8=16 Moving to Node #0,3,2 Current State: 38:[35, 16], Operations: ['68-60=8', '24-8=16'] Exploring Operation: 35+16=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,3,2 Current State: 38:[35, 16], Operations: ['68-60=8', '24-8=16'] Exploring Operation: 35-16=19, Resulting Numbers: [19] 19,38 unequal: No Solution Moving to Node #0,3 Current State: 38:[24, 35, 8], Operations: ['68-60=8'] Exploring Operation: 35-8=27, Resulting Numbers: [24, 27] Generated Node #0,3,3: 38:[24, 27] Operation: 35-8=27 Moving to Node #0,3,3 Current State: 38:[24, 27], Operations: ['68-60=8', '35-8=27'] Exploring Operation: 24+27=51, Resulting Numbers: [51] 51,38 unequal: No Solution Moving to Node #0,3,3 Current State: 38:[24, 27], Operations: ['68-60=8', '35-8=27'] Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,38 unequal: No Solution Moving to Node #0,3 Current State: 38:[24, 35, 8], Operations: ['68-60=8'] Exploring Operation: 24/8=3, Resulting Numbers: [35, 3] Generated Node #0,3,4: 38:[35, 3] Operation: 24/8=3 Moving to Node #0,3,4 Current State: 38:[35, 3], Operations: ['68-60=8', '24/8=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
0.942708
dfs
Current State: 38:[68, 24, 35, 60], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [24, 35, 8] Generated Node #2: [24, 35, 8] from Operation: 68-60=8 Current State: 38:[24, 35, 8], Operations: ['68-60=8'] Exploring Operation: 24/8=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 24/8=3 Current State: 38:[35, 3], Operations: ['68-60=8', '24/8=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
sum_heuristic
[ { "content": "Make 38 with the numbers [68, 24, 35, 60] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 38:[68, 24, 35, 60], Operations: []\nExploring Operation: 68-24=44, Resulting Numbers: [35, 60, 44]\nGenerated Node #0,0: 38:[35, 60, 44] Operation: 68-24=44\nMoving to Node #0,0\nCurrent State: 38:[35, 60, 44], Operations: ['68-24=44']\nExploring Operation: 60-35=25, Resulting Numbers: [44, 25]\nGenerated Node #0,0,0: 38:[44, 25] Operation: 60-35=25\nMoving to Node #0,0,0\nCurrent State: 38:[44, 25], Operations: ['68-24=44', '60-35=25']\nExploring Operation: 44-25=19, Resulting Numbers: [19]\n19,38 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 38:[44, 25], Operations: ['68-24=44', '60-35=25']\nExploring Operation: 44+25=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[35, 60, 44], Operations: ['68-24=44']\nExploring Operation: 60-44=16, Resulting Numbers: [35, 16]\nGenerated Node #0,0,1: 38:[35, 16] Operation: 60-44=16\nMoving to Node #0,0,1\nCurrent State: 38:[35, 16], Operations: ['68-24=44', '60-44=16']\nExploring Operation: 35+16=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 38:[35, 16], Operations: ['68-24=44', '60-44=16']\nExploring Operation: 35-16=19, Resulting Numbers: [19]\n19,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[35, 60, 44], Operations: ['68-24=44']\nExploring Operation: 44-35=9, Resulting Numbers: [60, 9]\nGenerated Node #0,0,2: 38:[60, 9] Operation: 44-35=9\nMoving to Node #0,0,2\nCurrent State: 38:[60, 9], Operations: ['68-24=44', '44-35=9']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 38:[60, 9], Operations: ['68-24=44', '44-35=9']\nExploring Operation: 60+9=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[35, 60, 44], Operations: ['68-24=44']\nExploring Operation: 35+60=95, Resulting Numbers: [44, 95]\nGenerated Node #0,0,3: 38:[44, 95] Operation: 35+60=95\nMoving to Node #0,0,3\nCurrent State: 38:[44, 95], Operations: ['68-24=44', '35+60=95']\nExploring Operation: 95-44=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[35, 60, 44], Operations: ['68-24=44']\nExploring Operation: 35+44=79, Resulting Numbers: [60, 79]\nGenerated Node #0,0,4: 38:[60, 79] Operation: 35+44=79\nMoving to Node #0,0,4\nCurrent State: 38:[60, 79], Operations: ['68-24=44', '35+44=79']\nExploring Operation: 79-60=19, Resulting Numbers: [19]\n19,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[35, 60, 44], Operations: ['68-24=44']\nExploring Operation: 60+44=104, Resulting Numbers: [35, 104]\nGenerated Node #0,0,5: 38:[35, 104] Operation: 60+44=104\nMoving to Node #0,0,5\nCurrent State: 38:[35, 104], Operations: ['68-24=44', '60+44=104']\nExploring Operation: 104-35=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[68, 24, 35, 60], Operations: []\nExploring Operation: 60-24=36, Resulting Numbers: [68, 35, 36]\nGenerated Node #0,1: 38:[68, 35, 36] Operation: 60-24=36\nMoving to Node #0,1\nCurrent State: 38:[68, 35, 36], Operations: ['60-24=36']\nExploring Operation: 68-35=33, Resulting Numbers: [36, 33]\nGenerated Node #0,1,0: 38:[36, 33] Operation: 68-35=33\nMoving to Node #0,1,0\nCurrent State: 38:[36, 33], Operations: ['60-24=36', '68-35=33']\nExploring Operation: 36+33=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 38:[36, 33], Operations: ['60-24=36', '68-35=33']\nExploring Operation: 36-33=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[68, 35, 36], Operations: ['60-24=36']\nExploring Operation: 68-36=32, Resulting Numbers: [35, 32]\nGenerated Node #0,1,1: 38:[35, 32] Operation: 68-36=32\nMoving to Node #0,1,1\nCurrent State: 38:[35, 32], Operations: ['60-24=36', '68-36=32']\nExploring Operation: 35+32=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 38:[35, 32], Operations: ['60-24=36', '68-36=32']\nExploring Operation: 35-32=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[68, 35, 36], Operations: ['60-24=36']\nExploring Operation: 35+36=71, Resulting Numbers: [68, 71]\nGenerated Node #0,1,2: 38:[68, 71] Operation: 35+36=71\nMoving to Node #0,1,2\nCurrent State: 38:[68, 71], Operations: ['60-24=36', '35+36=71']\nExploring Operation: 71-68=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[68, 35, 36], Operations: ['60-24=36']\nExploring Operation: 68+35=103, Resulting Numbers: [36, 103]\nGenerated Node #0,1,3: 38:[36, 103] Operation: 68+35=103\nMoving to Node #0,1,3\nCurrent State: 38:[36, 103], Operations: ['60-24=36', '68+35=103']\nExploring Operation: 103-36=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[68, 35, 36], Operations: ['60-24=36']\nExploring Operation: 36-35=1, Resulting Numbers: [68, 1]\nGenerated Node #0,1,4: 38:[68, 1] Operation: 36-35=1\nMoving to Node #0,1,4\nCurrent State: 38:[68, 1], Operations: ['60-24=36', '36-35=1']\nExploring Operation: 68-1=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 38:[68, 1], Operations: ['60-24=36', '36-35=1']\nExploring Operation: 68*1=68, Resulting Numbers: [68]\n68,38 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 38:[68, 1], Operations: ['60-24=36', '36-35=1']\nExploring Operation: 68/1=68, Resulting Numbers: [68]\n68,38 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 38:[68, 1], Operations: ['60-24=36', '36-35=1']\nExploring Operation: 68+1=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[68, 35, 36], Operations: ['60-24=36']\nExploring Operation: 68+36=104, Resulting Numbers: [35, 104]\nGenerated Node #0,1,5: 38:[35, 104] Operation: 68+36=104\nMoving to Node #0,1,5\nCurrent State: 38:[35, 104], Operations: ['60-24=36', '68+36=104']\nExploring Operation: 104-35=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[68, 24, 35, 60], Operations: []\nExploring Operation: 68-35=33, Resulting Numbers: [24, 60, 33]\nGenerated Node #0,2: 38:[24, 60, 33] Operation: 68-35=33\nMoving to Node #0,2\nCurrent State: 38:[24, 60, 33], Operations: ['68-35=33']\nExploring Operation: 60-24=36, Resulting Numbers: [33, 36]\nGenerated Node #0,2,0: 38:[33, 36] Operation: 60-24=36\nMoving to Node #0,2,0\nCurrent State: 38:[33, 36], Operations: ['68-35=33', '60-24=36']\nExploring Operation: 33+36=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 38:[33, 36], Operations: ['68-35=33', '60-24=36']\nExploring Operation: 36-33=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[24, 60, 33], Operations: ['68-35=33']\nExploring Operation: 60-33=27, Resulting Numbers: [24, 27]\nGenerated Node #0,2,1: 38:[24, 27] Operation: 60-33=27\nMoving to Node #0,2,1\nCurrent State: 38:[24, 27], Operations: ['68-35=33', '60-33=27']\nExploring Operation: 24+27=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 38:[24, 27], Operations: ['68-35=33', '60-33=27']\nExploring Operation: 27-24=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[24, 60, 33], Operations: ['68-35=33']\nExploring Operation: 24+33=57, Resulting Numbers: [60, 57]\nGenerated Node #0,2,2: 38:[60, 57] Operation: 24+33=57\nMoving to Node #0,2,2\nCurrent State: 38:[60, 57], Operations: ['68-35=33', '24+33=57']\nExploring Operation: 60-57=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[24, 60, 33], Operations: ['68-35=33']\nExploring Operation: 24+60=84, Resulting Numbers: [33, 84]\nGenerated Node #0,2,3: 38:[33, 84] Operation: 24+60=84\nMoving to Node #0,2,3\nCurrent State: 38:[33, 84], Operations: ['68-35=33', '24+60=84']\nExploring Operation: 84-33=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[24, 60, 33], Operations: ['68-35=33']\nExploring Operation: 33-24=9, Resulting Numbers: [60, 9]\nGenerated Node #0,2,4: 38:[60, 9] Operation: 33-24=9\nMoving to Node #0,2,4\nCurrent State: 38:[60, 9], Operations: ['68-35=33', '33-24=9']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 38:[60, 9], Operations: ['68-35=33', '33-24=9']\nExploring Operation: 60+9=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[24, 60, 33], Operations: ['68-35=33']\nExploring Operation: 60+33=93, Resulting Numbers: [24, 93]\nGenerated Node #0,2,5: 38:[24, 93] Operation: 60+33=93\nMoving to Node #0,2,5\nCurrent State: 38:[24, 93], Operations: ['68-35=33', '60+33=93']\nExploring Operation: 93-24=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[68, 24, 35, 60], Operations: []\nExploring Operation: 68-60=8, Resulting Numbers: [24, 35, 8]\nGenerated Node #0,3: 38:[24, 35, 8] Operation: 68-60=8\nMoving to Node #0,3\nCurrent State: 38:[24, 35, 8], Operations: ['68-60=8']\nExploring Operation: 24+8=32, Resulting Numbers: [35, 32]\nGenerated Node #0,3,0: 38:[35, 32] Operation: 24+8=32\nMoving to Node #0,3,0\nCurrent State: 38:[35, 32], Operations: ['68-60=8', '24+8=32']\nExploring Operation: 35+32=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 38:[35, 32], Operations: ['68-60=8', '24+8=32']\nExploring Operation: 35-32=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[24, 35, 8], Operations: ['68-60=8']\nExploring Operation: 35+8=43, Resulting Numbers: [24, 43]\nGenerated Node #0,3,1: 38:[24, 43] Operation: 35+8=43\nMoving to Node #0,3,1\nCurrent State: 38:[24, 43], Operations: ['68-60=8', '35+8=43']\nExploring Operation: 43-24=19, Resulting Numbers: [19]\n19,38 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 38:[24, 43], Operations: ['68-60=8', '35+8=43']\nExploring Operation: 24+43=67, Resulting Numbers: [67]\n67,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[24, 35, 8], Operations: ['68-60=8']\nExploring Operation: 24-8=16, Resulting Numbers: [35, 16]\nGenerated Node #0,3,2: 38:[35, 16] Operation: 24-8=16\nMoving to Node #0,3,2\nCurrent State: 38:[35, 16], Operations: ['68-60=8', '24-8=16']\nExploring Operation: 35+16=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 38:[35, 16], Operations: ['68-60=8', '24-8=16']\nExploring Operation: 35-16=19, Resulting Numbers: [19]\n19,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[24, 35, 8], Operations: ['68-60=8']\nExploring Operation: 35-8=27, Resulting Numbers: [24, 27]\nGenerated Node #0,3,3: 38:[24, 27] Operation: 35-8=27\nMoving to Node #0,3,3\nCurrent State: 38:[24, 27], Operations: ['68-60=8', '35-8=27']\nExploring Operation: 24+27=51, Resulting Numbers: [51]\n51,38 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 38:[24, 27], Operations: ['68-60=8', '35-8=27']\nExploring Operation: 27-24=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[24, 35, 8], Operations: ['68-60=8']\nExploring Operation: 24/8=3, Resulting Numbers: [35, 3]\nGenerated Node #0,3,4: 38:[35, 3] Operation: 24/8=3\nMoving to Node #0,3,4\nCurrent State: 38:[35, 3], Operations: ['68-60=8', '24/8=3']\nExploring Operation: 35+3=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached\n", "role": "assistant" } ]
[ 6, 40, 37, 79 ]
82
[ "40-6=34", "37+79=116", "116-34=82" ]
Current State: 82:[6, 40, 37, 79], Operations: [] Exploring Operation: 6+40=46, Resulting Numbers: [37, 79, 46] Generated Node #0,0: 82:[37, 79, 46] Operation: 6+40=46 Moving to Node #0,0 Current State: 82:[37, 79, 46], Operations: ['6+40=46'] Exploring Operation: 37+46=83, Resulting Numbers: [79, 83] Generated Node #0,0,0: 82:[79, 83] Operation: 37+46=83 Moving to Node #0,0,0 Current State: 82:[79, 83], Operations: ['6+40=46', '37+46=83'] Exploring Operation: 83-79=4, Resulting Numbers: [4] 4,82 unequal: No Solution Moving to Node #0,0,0,0 Current State: 82:[4], Operations: ['6+40=46', '37+46=83', '83-79=4'] No solution found.
0
bfs_1
Current State: 82:[6, 40, 37, 79], Operations: [] Exploring Operation: 40-6=34, Resulting Numbers: [37, 79, 34] Generated Node #2: [37, 79, 34] from Operation: 40-6=34 Current State: 82:[37, 79, 34], Operations: ['40-6=34'] Exploring Operation: 37+79=116, Resulting Numbers: [34, 116] Generated Node #3: [34, 116] from Operation: 37+79=116 Current State: 82:[34, 116], Operations: ['40-6=34', '37+79=116'] Exploring Operation: 116-34=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
sum_heuristic
[ { "content": "Make 82 with the numbers [6, 40, 37, 79] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 82:[6, 40, 37, 79], Operations: []\nExploring Operation: 6+40=46, Resulting Numbers: [37, 79, 46]\nGenerated Node #0,0: 82:[37, 79, 46] Operation: 6+40=46\nMoving to Node #0,0\nCurrent State: 82:[37, 79, 46], Operations: ['6+40=46']\nExploring Operation: 37+46=83, Resulting Numbers: [79, 83]\nGenerated Node #0,0,0: 82:[79, 83] Operation: 37+46=83\nMoving to Node #0,0,0\nCurrent State: 82:[79, 83], Operations: ['6+40=46', '37+46=83']\nExploring Operation: 83-79=4, Resulting Numbers: [4]\n4,82 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 82:[4], Operations: ['6+40=46', '37+46=83', '83-79=4']\nNo solution found.", "role": "assistant" } ]
[ 55, 70, 95, 14 ]
36
[ "70/14=5", "95/5=19", "55-19=36" ]
Current State: 36:[55, 70, 95, 14], Operations: [] Exploring Operation: 95-70=25, Resulting Numbers: [55, 14, 25] Generated Node #0,0: 36:[55, 14, 25] Operation: 95-70=25 Moving to Node #0,0 Current State: 36:[55, 14, 25], Operations: ['95-70=25'] Exploring Operation: 55-25=30, Resulting Numbers: [14, 30] Generated Node #0,0,0: 36:[14, 30] Operation: 55-25=30 Moving to Node #0,0,0 Current State: 36:[14, 30], Operations: ['95-70=25', '55-25=30'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[14, 30], Operations: ['95-70=25', '55-25=30'] Exploring Operation: 14+30=44, Resulting Numbers: [44] 44,36 unequal: No Solution Moving to Node #0,0 Current State: 36:[55, 14, 25], Operations: ['95-70=25'] Exploring Operation: 55-14=41, Resulting Numbers: [25, 41] Generated Node #0,0,1: 36:[25, 41] Operation: 55-14=41 Moving to Node #0,0,1 Current State: 36:[25, 41], Operations: ['95-70=25', '55-14=41'] Exploring Operation: 41-25=16, Resulting Numbers: [16] 16,36 unequal: No Solution Moving to Node #0,0,1 Current State: 36:[25, 41], Operations: ['95-70=25', '55-14=41'] Exploring Operation: 25+41=66, Resulting Numbers: [66] 66,36 unequal: No Solution Moving to Node #0,0 Current State: 36:[55, 14, 25], Operations: ['95-70=25'] Exploring Operation: 25-14=11, Resulting Numbers: [55, 11] Generated Node #0,0,2: 36:[55, 11] Operation: 25-14=11 Moving to Node #0,0,2 Current State: 36:[55, 11], Operations: ['95-70=25', '25-14=11'] Exploring Operation: 55/11=5, Resulting Numbers: [5] 5,36 unequal: No Solution Moving to Node #0,0,2 Current State: 36:[55, 11], Operations: ['95-70=25', '25-14=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,36 unequal: No Solution Moving to Node #0,0,2 Current State: 36:[55, 11], Operations: ['95-70=25', '25-14=11'] Exploring Operation: 55+11=66, Resulting Numbers: [66] 66,36 unequal: No Solution Moving to Node #0,0 Current State: 36:[55, 14, 25], Operations: ['95-70=25'] Exploring Operation: 14+25=39, Resulting Numbers: [55, 39] Generated Node #0,0,3: 36:[55, 39] Operation: 14+25=39 Moving to Node #0,0,3 Current State: 36:[55, 39], Operations: ['95-70=25', '14+25=39'] Exploring Operation: 55-39=16, Resulting Numbers: [16] 16,36 unequal: No Solution
0
dfs
Current State: 36:[55, 70, 95, 14], Operations: [] Exploring Operation: 70/14=5, Resulting Numbers: [55, 95, 5] Generated Node #2: [55, 95, 5] from Operation: 70/14=5 Current State: 36:[55, 95, 5], Operations: ['70/14=5'] Exploring Operation: 95/5=19, Resulting Numbers: [55, 19] Generated Node #3: [55, 19] from Operation: 95/5=19 Current State: 36:[55, 19], Operations: ['70/14=5', '95/5=19'] Exploring Operation: 55-19=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
mult_heuristic
[ { "content": "Make 36 with the numbers [55, 70, 95, 14] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 36:[55, 70, 95, 14], Operations: []\nExploring Operation: 95-70=25, Resulting Numbers: [55, 14, 25]\nGenerated Node #0,0: 36:[55, 14, 25] Operation: 95-70=25\nMoving to Node #0,0\nCurrent State: 36:[55, 14, 25], Operations: ['95-70=25']\nExploring Operation: 55-25=30, Resulting Numbers: [14, 30]\nGenerated Node #0,0,0: 36:[14, 30] Operation: 55-25=30\nMoving to Node #0,0,0\nCurrent State: 36:[14, 30], Operations: ['95-70=25', '55-25=30']\nExploring Operation: 30-14=16, Resulting Numbers: [16]\n16,36 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 36:[14, 30], Operations: ['95-70=25', '55-25=30']\nExploring Operation: 14+30=44, Resulting Numbers: [44]\n44,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[55, 14, 25], Operations: ['95-70=25']\nExploring Operation: 55-14=41, Resulting Numbers: [25, 41]\nGenerated Node #0,0,1: 36:[25, 41] Operation: 55-14=41\nMoving to Node #0,0,1\nCurrent State: 36:[25, 41], Operations: ['95-70=25', '55-14=41']\nExploring Operation: 41-25=16, Resulting Numbers: [16]\n16,36 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 36:[25, 41], Operations: ['95-70=25', '55-14=41']\nExploring Operation: 25+41=66, Resulting Numbers: [66]\n66,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[55, 14, 25], Operations: ['95-70=25']\nExploring Operation: 25-14=11, Resulting Numbers: [55, 11]\nGenerated Node #0,0,2: 36:[55, 11] Operation: 25-14=11\nMoving to Node #0,0,2\nCurrent State: 36:[55, 11], Operations: ['95-70=25', '25-14=11']\nExploring Operation: 55/11=5, Resulting Numbers: [5]\n5,36 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 36:[55, 11], Operations: ['95-70=25', '25-14=11']\nExploring Operation: 55-11=44, Resulting Numbers: [44]\n44,36 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 36:[55, 11], Operations: ['95-70=25', '25-14=11']\nExploring Operation: 55+11=66, Resulting Numbers: [66]\n66,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[55, 14, 25], Operations: ['95-70=25']\nExploring Operation: 14+25=39, Resulting Numbers: [55, 39]\nGenerated Node #0,0,3: 36:[55, 39] Operation: 14+25=39\nMoving to Node #0,0,3\nCurrent State: 36:[55, 39], Operations: ['95-70=25', '14+25=39']\nExploring Operation: 55-39=16, Resulting Numbers: [16]\n16,36 unequal: No Solution\n", "role": "assistant" } ]
[ 67, 70, 30, 82 ]
85
[ "67+70=137", "82-30=52", "137-52=85" ]
Current State: 85:[67, 70, 30, 82], Operations: [] Exploring Operation: 67+30=97, Resulting Numbers: [70, 82, 97] Generated Node #0,0: 85:[70, 82, 97] Operation: 67+30=97 Moving to Node #0,0 Current State: 85:[70, 82, 97], Operations: ['67+30=97'] Exploring Operation: 97-70=27, Resulting Numbers: [82, 27] Generated Node #0,0,0: 85:[82, 27] Operation: 97-70=27 Moving to Node #0,0,0 Current State: 85:[82, 27], Operations: ['67+30=97', '97-70=27'] Exploring Operation: 82+27=109, Resulting Numbers: [109] 109,85 unequal: No Solution Moving to Node #0,0,0 Current State: 85:[82, 27], Operations: ['67+30=97', '97-70=27'] Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,85 unequal: No Solution Moving to Node #0,0 Current State: 85:[70, 82, 97], Operations: ['67+30=97'] Exploring Operation: 70+82=152, Resulting Numbers: [97, 152] Generated Node #0,0,1: 85:[97, 152] Operation: 70+82=152 Moving to Node #0,0,1 Current State: 85:[97, 152], Operations: ['67+30=97', '70+82=152'] Exploring Operation: 152-97=55, Resulting Numbers: [55] 55,85 unequal: No Solution Moving to Node #0,0 Current State: 85:[70, 82, 97], Operations: ['67+30=97'] Exploring Operation: 82-70=12, Resulting Numbers: [97, 12] Generated Node #0,0,2: 85:[97, 12] Operation: 82-70=12 Moving to Node #0,0,2 Current State: 85:[97, 12], Operations: ['67+30=97', '82-70=12'] Exploring Operation: 97-12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
0.992188
dfs
Current State: 85:[67, 70, 30, 82], Operations: [] Exploring Operation: 67+70=137, Resulting Numbers: [30, 82, 137] Generated Node #2: [30, 82, 137] from Operation: 67+70=137 Current State: 85:[30, 82, 137], Operations: ['67+70=137'] Exploring Operation: 82-30=52, Resulting Numbers: [137, 52] Generated Node #3: [137, 52] from Operation: 82-30=52 Current State: 85:[137, 52], Operations: ['67+70=137', '82-30=52'] Exploring Operation: 137-52=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
sum_heuristic
[ { "content": "Make 85 with the numbers [67, 70, 30, 82] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 85:[67, 70, 30, 82], Operations: []\nExploring Operation: 67+30=97, Resulting Numbers: [70, 82, 97]\nGenerated Node #0,0: 85:[70, 82, 97] Operation: 67+30=97\nMoving to Node #0,0\nCurrent State: 85:[70, 82, 97], Operations: ['67+30=97']\nExploring Operation: 97-70=27, Resulting Numbers: [82, 27]\nGenerated Node #0,0,0: 85:[82, 27] Operation: 97-70=27\nMoving to Node #0,0,0\nCurrent State: 85:[82, 27], Operations: ['67+30=97', '97-70=27']\nExploring Operation: 82+27=109, Resulting Numbers: [109]\n109,85 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 85:[82, 27], Operations: ['67+30=97', '97-70=27']\nExploring Operation: 82-27=55, Resulting Numbers: [55]\n55,85 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 85:[70, 82, 97], Operations: ['67+30=97']\nExploring Operation: 70+82=152, Resulting Numbers: [97, 152]\nGenerated Node #0,0,1: 85:[97, 152] Operation: 70+82=152\nMoving to Node #0,0,1\nCurrent State: 85:[97, 152], Operations: ['67+30=97', '70+82=152']\nExploring Operation: 152-97=55, Resulting Numbers: [55]\n55,85 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 85:[70, 82, 97], Operations: ['67+30=97']\nExploring Operation: 82-70=12, Resulting Numbers: [97, 12]\nGenerated Node #0,0,2: 85:[97, 12] Operation: 82-70=12\nMoving to Node #0,0,2\nCurrent State: 85:[97, 12], Operations: ['67+30=97', '82-70=12']\nExploring Operation: 97-12=85, Resulting Numbers: [85]\n85,85 equal: Goal Reached\n", "role": "assistant" } ]
[ 82, 40, 89, 42 ]
48
[ "42-40=2", "82/2=41", "89-41=48" ]
Current State: 48:[82, 40, 89, 42], Operations: [] Exploring Operation: 89-82=7, Resulting Numbers: [40, 42, 7] Generated Node #0,0: 48:[40, 42, 7] Operation: 89-82=7 Moving to Node #0,0 Current State: 48:[40, 42, 7], Operations: ['89-82=7'] Exploring Operation: 42-40=2, Resulting Numbers: [7, 2] Generated Node #0,0,0: 48:[7, 2] Operation: 42-40=2 Moving to Node #0,0,0 Current State: 48:[7, 2], Operations: ['89-82=7', '42-40=2'] Exploring Operation: 7+2=9, Resulting Numbers: [9] 9,48 unequal: No Solution Moving to Node #0,0,0 Current State: 48:[7, 2], Operations: ['89-82=7', '42-40=2'] Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,48 unequal: No Solution Moving to Node #0,0,0 Current State: 48:[7, 2], Operations: ['89-82=7', '42-40=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[40, 42, 7], Operations: ['89-82=7'] Exploring Operation: 40+7=47, Resulting Numbers: [42, 47] Generated Node #0,0,1: 48:[42, 47] Operation: 40+7=47 Moving to Node #0,0,1 Current State: 48:[42, 47], Operations: ['89-82=7', '40+7=47'] Exploring Operation: 47-42=5, Resulting Numbers: [5] 5,48 unequal: No Solution Moving to Node #0,0,1 Current State: 48:[42, 47], Operations: ['89-82=7', '40+7=47'] Exploring Operation: 42+47=89, Resulting Numbers: [89] 89,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[40, 42, 7], Operations: ['89-82=7'] Exploring Operation: 42/7=6, Resulting Numbers: [40, 6] Generated Node #0,0,2: 48:[40, 6] Operation: 42/7=6 Moving to Node #0,0,2 Current State: 48:[40, 6], Operations: ['89-82=7', '42/7=6'] Exploring Operation: 40+6=46, Resulting Numbers: [46] 46,48 unequal: No Solution Moving to Node #0,0,2 Current State: 48:[40, 6], Operations: ['89-82=7', '42/7=6'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[40, 42, 7], Operations: ['89-82=7'] Exploring Operation: 42+7=49, Resulting Numbers: [40, 49] Generated Node #0,0,3: 48:[40, 49] Operation: 42+7=49 Moving to Node #0,0,3 Current State: 48:[40, 49], Operations: ['89-82=7', '42+7=49'] Exploring Operation: 49-40=9, Resulting Numbers: [9] 9,48 unequal: No Solution Moving to Node #0,0,3 Current State: 48:[40, 49], Operations: ['89-82=7', '42+7=49'] Exploring Operation: 40+49=89, Resulting Numbers: [89] 89,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[40, 42, 7], Operations: ['89-82=7'] Exploring Operation: 40-7=33, Resulting Numbers: [42, 33] Generated Node #0,0,4: 48:[42, 33] Operation: 40-7=33 Moving to Node #0,0,4 Current State: 48:[42, 33], Operations: ['89-82=7', '40-7=33'] Exploring Operation: 42-33=9, Resulting Numbers: [9] 9,48 unequal: No Solution Moving to Node #0,0,4 Current State: 48:[42, 33], Operations: ['89-82=7', '40-7=33'] Exploring Operation: 42+33=75, Resulting Numbers: [75] 75,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[40, 42, 7], Operations: ['89-82=7'] Exploring Operation: 42-7=35, Resulting Numbers: [40, 35] Generated Node #0,0,5: 48:[40, 35] Operation: 42-7=35 Moving to Node #0,0,5 Current State: 48:[40, 35], Operations: ['89-82=7', '42-7=35'] Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,48 unequal: No Solution Moving to Node #0,0,5 Current State: 48:[40, 35], Operations: ['89-82=7', '42-7=35'] Exploring Operation: 40+35=75, Resulting Numbers: [75] 75,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[40, 42, 7], Operations: ['89-82=7'] Exploring Operation: 40+42=82, Resulting Numbers: [7, 82] Generated Node #0,0,6: 48:[7, 82] Operation: 40+42=82 Moving to Node #0,0,6 Current State: 48:[7, 82], Operations: ['89-82=7', '40+42=82'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,48 unequal: No Solution Moving to Node #0,0,6 Current State: 48:[7, 82], Operations: ['89-82=7', '40+42=82'] Exploring Operation: 7+82=89, Resulting Numbers: [89] 89,48 unequal: No Solution Moving to Node #0 Current State: 48:[82, 40, 89, 42], Operations: [] Exploring Operation: 89-40=49, Resulting Numbers: [82, 42, 49] Generated Node #0,1: 48:[82, 42, 49] Operation: 89-40=49 Moving to Node #0,1 Current State: 48:[82, 42, 49], Operations: ['89-40=49'] Exploring Operation: 82-42=40, Resulting Numbers: [49, 40] Generated Node #0,1,0: 48:[49, 40] Operation: 82-42=40 Moving to Node #0,1,0 Current State: 48:[49, 40], Operations: ['89-40=49', '82-42=40'] Exploring Operation: 49-40=9, Resulting Numbers: [9] 9,48 unequal: No Solution Moving to Node #0,1,0 Current State: 48:[49, 40], Operations: ['89-40=49', '82-42=40'] Exploring Operation: 49+40=89, Resulting Numbers: [89] 89,48 unequal: No Solution Moving to Node #0,1 Current State: 48:[82, 42, 49], Operations: ['89-40=49'] Exploring Operation: 82-49=33, Resulting Numbers: [42, 33] Generated Node #0,1,1: 48:[42, 33] Operation: 82-49=33 Moving to Node #0,1,1 Current State: 48:[42, 33], Operations: ['89-40=49', '82-49=33'] Exploring Operation: 42-33=9, Resulting Numbers: [9] 9,48 unequal: No Solution Moving to Node #0,1,1 Current State: 48:[42, 33], Operations: ['89-40=49', '82-49=33'] Exploring Operation: 42+33=75, Resulting Numbers: [75] 75,48 unequal: No Solution Moving to Node #0,1 Current State: 48:[82, 42, 49], Operations: ['89-40=49'] Exploring Operation: 49-42=7, Resulting Numbers: [82, 7] Generated Node #0,1,2: 48:[82, 7] Operation: 49-42=7 Moving to Node #0,1,2 Current State: 48:[82, 7], Operations: ['89-40=49', '49-42=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,48 unequal: No Solution Moving to Node #0,1,2 Current State: 48:[82, 7], Operations: ['89-40=49', '49-42=7'] Exploring Operation: 82+7=89, Resulting Numbers: [89] 89,48 unequal: No Solution Moving to Node #0 Current State: 48:[82, 40, 89, 42], Operations: [] Exploring Operation: 89-42=47, Resulting Numbers: [82, 40, 47] Generated Node #0,2: 48:[82, 40, 47] Operation: 89-42=47 Moving to Node #0,2 Current State: 48:[82, 40, 47], Operations: ['89-42=47'] Exploring Operation: 82-40=42, Resulting Numbers: [47, 42] Generated Node #0,2,0: 48:[47, 42] Operation: 82-40=42 Moving to Node #0,2,0 Current State: 48:[47, 42], Operations: ['89-42=47', '82-40=42'] Exploring Operation: 47-42=5, Resulting Numbers: [5] 5,48 unequal: No Solution Moving to Node #0,2,0 Current State: 48:[47, 42], Operations: ['89-42=47', '82-40=42'] Exploring Operation: 47+42=89, Resulting Numbers: [89] 89,48 unequal: No Solution Moving to Node #0,2 Current State: 48:[82, 40, 47], Operations: ['89-42=47'] Exploring Operation: 82-47=35, Resulting Numbers: [40, 35] Generated Node #0,2,1: 48:[40, 35] Operation: 82-47=35 Moving to Node #0,2,1 Current State: 48:[40, 35], Operations: ['89-42=47', '82-47=35'] Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,48 unequal: No Solution Moving to Node #0,2,1 Current State: 48:[40, 35], Operations: ['89-42=47', '82-47=35'] Exploring Operation: 40+35=75, Resulting Numbers: [75] 75,48 unequal: No Solution Moving to Node #0,2 Current State: 48:[82, 40, 47], Operations: ['89-42=47'] Exploring Operation: 47-40=7, Resulting Numbers: [82, 7] Generated Node #0,2,2: 48:[82, 7] Operation: 47-40=7 Moving to Node #0,2,2 Current State: 48:[82, 7], Operations: ['89-42=47', '47-40=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,48 unequal: No Solution Moving to Node #0,2,2 Current State: 48:[82, 7], Operations: ['89-42=47', '47-40=7'] Exploring Operation: 82+7=89, Resulting Numbers: [89] 89,48 unequal: No Solution
0
dfs
Current State: 48:[82, 40, 89, 42], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [82, 89, 2] Generated Node #2: [82, 89, 2] from Operation: 42-40=2 Current State: 48:[82, 89, 2], Operations: ['42-40=2'] Exploring Operation: 82/2=41, Resulting Numbers: [89, 41] Generated Node #3: [89, 41] from Operation: 82/2=41 Current State: 48:[89, 41], Operations: ['42-40=2', '82/2=41'] Exploring Operation: 89-41=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
mult_heuristic
[ { "content": "Make 48 with the numbers [82, 40, 89, 42] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 48:[82, 40, 89, 42], Operations: []\nExploring Operation: 89-82=7, Resulting Numbers: [40, 42, 7]\nGenerated Node #0,0: 48:[40, 42, 7] Operation: 89-82=7\nMoving to Node #0,0\nCurrent State: 48:[40, 42, 7], Operations: ['89-82=7']\nExploring Operation: 42-40=2, Resulting Numbers: [7, 2]\nGenerated Node #0,0,0: 48:[7, 2] Operation: 42-40=2\nMoving to Node #0,0,0\nCurrent State: 48:[7, 2], Operations: ['89-82=7', '42-40=2']\nExploring Operation: 7+2=9, Resulting Numbers: [9]\n9,48 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 48:[7, 2], Operations: ['89-82=7', '42-40=2']\nExploring Operation: 7-2=5, Resulting Numbers: [5]\n5,48 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 48:[7, 2], Operations: ['89-82=7', '42-40=2']\nExploring Operation: 7*2=14, Resulting Numbers: [14]\n14,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[40, 42, 7], Operations: ['89-82=7']\nExploring Operation: 40+7=47, Resulting Numbers: [42, 47]\nGenerated Node #0,0,1: 48:[42, 47] Operation: 40+7=47\nMoving to Node #0,0,1\nCurrent State: 48:[42, 47], Operations: ['89-82=7', '40+7=47']\nExploring Operation: 47-42=5, Resulting Numbers: [5]\n5,48 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 48:[42, 47], Operations: ['89-82=7', '40+7=47']\nExploring Operation: 42+47=89, Resulting Numbers: [89]\n89,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[40, 42, 7], Operations: ['89-82=7']\nExploring Operation: 42/7=6, Resulting Numbers: [40, 6]\nGenerated Node #0,0,2: 48:[40, 6] Operation: 42/7=6\nMoving to Node #0,0,2\nCurrent State: 48:[40, 6], Operations: ['89-82=7', '42/7=6']\nExploring Operation: 40+6=46, Resulting Numbers: [46]\n46,48 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 48:[40, 6], Operations: ['89-82=7', '42/7=6']\nExploring Operation: 40-6=34, Resulting Numbers: [34]\n34,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[40, 42, 7], Operations: ['89-82=7']\nExploring Operation: 42+7=49, Resulting Numbers: [40, 49]\nGenerated Node #0,0,3: 48:[40, 49] Operation: 42+7=49\nMoving to Node #0,0,3\nCurrent State: 48:[40, 49], Operations: ['89-82=7', '42+7=49']\nExploring Operation: 49-40=9, Resulting Numbers: [9]\n9,48 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 48:[40, 49], Operations: ['89-82=7', '42+7=49']\nExploring Operation: 40+49=89, Resulting Numbers: [89]\n89,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[40, 42, 7], Operations: ['89-82=7']\nExploring Operation: 40-7=33, Resulting Numbers: [42, 33]\nGenerated Node #0,0,4: 48:[42, 33] Operation: 40-7=33\nMoving to Node #0,0,4\nCurrent State: 48:[42, 33], Operations: ['89-82=7', '40-7=33']\nExploring Operation: 42-33=9, Resulting Numbers: [9]\n9,48 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 48:[42, 33], Operations: ['89-82=7', '40-7=33']\nExploring Operation: 42+33=75, Resulting Numbers: [75]\n75,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[40, 42, 7], Operations: ['89-82=7']\nExploring Operation: 42-7=35, Resulting Numbers: [40, 35]\nGenerated Node #0,0,5: 48:[40, 35] Operation: 42-7=35\nMoving to Node #0,0,5\nCurrent State: 48:[40, 35], Operations: ['89-82=7', '42-7=35']\nExploring Operation: 40-35=5, Resulting Numbers: [5]\n5,48 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 48:[40, 35], Operations: ['89-82=7', '42-7=35']\nExploring Operation: 40+35=75, Resulting Numbers: [75]\n75,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[40, 42, 7], Operations: ['89-82=7']\nExploring Operation: 40+42=82, Resulting Numbers: [7, 82]\nGenerated Node #0,0,6: 48:[7, 82] Operation: 40+42=82\nMoving to Node #0,0,6\nCurrent State: 48:[7, 82], Operations: ['89-82=7', '40+42=82']\nExploring Operation: 82-7=75, Resulting Numbers: [75]\n75,48 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 48:[7, 82], Operations: ['89-82=7', '40+42=82']\nExploring Operation: 7+82=89, Resulting Numbers: [89]\n89,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[82, 40, 89, 42], Operations: []\nExploring Operation: 89-40=49, Resulting Numbers: [82, 42, 49]\nGenerated Node #0,1: 48:[82, 42, 49] Operation: 89-40=49\nMoving to Node #0,1\nCurrent State: 48:[82, 42, 49], Operations: ['89-40=49']\nExploring Operation: 82-42=40, Resulting Numbers: [49, 40]\nGenerated Node #0,1,0: 48:[49, 40] Operation: 82-42=40\nMoving to Node #0,1,0\nCurrent State: 48:[49, 40], Operations: ['89-40=49', '82-42=40']\nExploring Operation: 49-40=9, Resulting Numbers: [9]\n9,48 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 48:[49, 40], Operations: ['89-40=49', '82-42=40']\nExploring Operation: 49+40=89, Resulting Numbers: [89]\n89,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[82, 42, 49], Operations: ['89-40=49']\nExploring Operation: 82-49=33, Resulting Numbers: [42, 33]\nGenerated Node #0,1,1: 48:[42, 33] Operation: 82-49=33\nMoving to Node #0,1,1\nCurrent State: 48:[42, 33], Operations: ['89-40=49', '82-49=33']\nExploring Operation: 42-33=9, Resulting Numbers: [9]\n9,48 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 48:[42, 33], Operations: ['89-40=49', '82-49=33']\nExploring Operation: 42+33=75, Resulting Numbers: [75]\n75,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[82, 42, 49], Operations: ['89-40=49']\nExploring Operation: 49-42=7, Resulting Numbers: [82, 7]\nGenerated Node #0,1,2: 48:[82, 7] Operation: 49-42=7\nMoving to Node #0,1,2\nCurrent State: 48:[82, 7], Operations: ['89-40=49', '49-42=7']\nExploring Operation: 82-7=75, Resulting Numbers: [75]\n75,48 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 48:[82, 7], Operations: ['89-40=49', '49-42=7']\nExploring Operation: 82+7=89, Resulting Numbers: [89]\n89,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[82, 40, 89, 42], Operations: []\nExploring Operation: 89-42=47, Resulting Numbers: [82, 40, 47]\nGenerated Node #0,2: 48:[82, 40, 47] Operation: 89-42=47\nMoving to Node #0,2\nCurrent State: 48:[82, 40, 47], Operations: ['89-42=47']\nExploring Operation: 82-40=42, Resulting Numbers: [47, 42]\nGenerated Node #0,2,0: 48:[47, 42] Operation: 82-40=42\nMoving to Node #0,2,0\nCurrent State: 48:[47, 42], Operations: ['89-42=47', '82-40=42']\nExploring Operation: 47-42=5, Resulting Numbers: [5]\n5,48 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 48:[47, 42], Operations: ['89-42=47', '82-40=42']\nExploring Operation: 47+42=89, Resulting Numbers: [89]\n89,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[82, 40, 47], Operations: ['89-42=47']\nExploring Operation: 82-47=35, Resulting Numbers: [40, 35]\nGenerated Node #0,2,1: 48:[40, 35] Operation: 82-47=35\nMoving to Node #0,2,1\nCurrent State: 48:[40, 35], Operations: ['89-42=47', '82-47=35']\nExploring Operation: 40-35=5, Resulting Numbers: [5]\n5,48 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 48:[40, 35], Operations: ['89-42=47', '82-47=35']\nExploring Operation: 40+35=75, Resulting Numbers: [75]\n75,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[82, 40, 47], Operations: ['89-42=47']\nExploring Operation: 47-40=7, Resulting Numbers: [82, 7]\nGenerated Node #0,2,2: 48:[82, 7] Operation: 47-40=7\nMoving to Node #0,2,2\nCurrent State: 48:[82, 7], Operations: ['89-42=47', '47-40=7']\nExploring Operation: 82-7=75, Resulting Numbers: [75]\n75,48 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 48:[82, 7], Operations: ['89-42=47', '47-40=7']\nExploring Operation: 82+7=89, Resulting Numbers: [89]\n89,48 unequal: No Solution\n", "role": "assistant" } ]
[ 32, 48, 36, 52 ]
76
[ "32*36=1152", "1152/48=24", "52+24=76" ]
Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 32+36=68, Resulting Numbers: [48, 52, 68] Generated Node #0,0: 76:[48, 52, 68] Operation: 32+36=68 Moving to Node #0,0 Current State: 76:[48, 52, 68], Operations: ['32+36=68'] Exploring Operation: 48+52=100, Resulting Numbers: [68, 100] Generated Node #0,0,0: 76:[68, 100] Operation: 48+52=100 Moving to Node #0,0,0 Current State: 76:[68, 100], Operations: ['32+36=68', '48+52=100'] Exploring Operation: 100-68=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,0 Current State: 76:[48, 52, 68], Operations: ['32+36=68'] Exploring Operation: 48+68=116, Resulting Numbers: [52, 116] Generated Node #0,0,1: 76:[52, 116] Operation: 48+68=116 Moving to Node #0,0,1 Current State: 76:[52, 116], Operations: ['32+36=68', '48+68=116'] Exploring Operation: 116-52=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,0 Current State: 76:[48, 52, 68], Operations: ['32+36=68'] Exploring Operation: 52+68=120, Resulting Numbers: [48, 120] Generated Node #0,0,2: 76:[48, 120] Operation: 52+68=120 Moving to Node #0,0,2 Current State: 76:[48, 120], Operations: ['32+36=68', '52+68=120'] Exploring Operation: 120-48=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,0 Current State: 76:[48, 52, 68], Operations: ['32+36=68'] Exploring Operation: 52-48=4, Resulting Numbers: [68, 4] Generated Node #0,0,3: 76:[68, 4] Operation: 52-48=4 Moving to Node #0,0,3 Current State: 76:[68, 4], Operations: ['32+36=68', '52-48=4'] Exploring Operation: 68+4=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,0,3 Current State: 76:[68, 4], Operations: ['32+36=68', '52-48=4'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,0,3 Current State: 76:[68, 4], Operations: ['32+36=68', '52-48=4'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,76 unequal: No Solution Moving to Node #0,0 Current State: 76:[48, 52, 68], Operations: ['32+36=68'] Exploring Operation: 68-48=20, Resulting Numbers: [52, 20] Generated Node #0,0,4: 76:[52, 20] Operation: 68-48=20 Moving to Node #0,0,4 Current State: 76:[52, 20], Operations: ['32+36=68', '68-48=20'] Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,0,4 Current State: 76:[52, 20], Operations: ['32+36=68', '68-48=20'] Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,0 Current State: 76:[48, 52, 68], Operations: ['32+36=68'] Exploring Operation: 68-52=16, Resulting Numbers: [48, 16] Generated Node #0,0,5: 76:[48, 16] Operation: 68-52=16 Moving to Node #0,0,5 Current State: 76:[48, 16], Operations: ['32+36=68', '68-52=16'] Exploring Operation: 48+16=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,0,5 Current State: 76:[48, 16], Operations: ['32+36=68', '68-52=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,0,5 Current State: 76:[48, 16], Operations: ['32+36=68', '68-52=16'] Exploring Operation: 48/16=3, Resulting Numbers: [3] 3,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 32+48=80, Resulting Numbers: [36, 52, 80] Generated Node #0,1: 76:[36, 52, 80] Operation: 32+48=80 Moving to Node #0,1 Current State: 76:[36, 52, 80], Operations: ['32+48=80'] Exploring Operation: 36+52=88, Resulting Numbers: [80, 88] Generated Node #0,1,0: 76:[80, 88] Operation: 36+52=88 Moving to Node #0,1,0 Current State: 76:[80, 88], Operations: ['32+48=80', '36+52=88'] Exploring Operation: 88-80=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,1 Current State: 76:[36, 52, 80], Operations: ['32+48=80'] Exploring Operation: 80-36=44, Resulting Numbers: [52, 44] Generated Node #0,1,1: 76:[52, 44] Operation: 80-36=44 Moving to Node #0,1,1 Current State: 76:[52, 44], Operations: ['32+48=80', '80-36=44'] Exploring Operation: 52+44=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,1,1 Current State: 76:[52, 44], Operations: ['32+48=80', '80-36=44'] Exploring Operation: 52-44=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,1 Current State: 76:[36, 52, 80], Operations: ['32+48=80'] Exploring Operation: 52-36=16, Resulting Numbers: [80, 16] Generated Node #0,1,2: 76:[80, 16] Operation: 52-36=16 Moving to Node #0,1,2 Current State: 76:[80, 16], Operations: ['32+48=80', '52-36=16'] Exploring Operation: 80-16=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,1,2 Current State: 76:[80, 16], Operations: ['32+48=80', '52-36=16'] Exploring Operation: 80+16=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,1,2 Current State: 76:[80, 16], Operations: ['32+48=80', '52-36=16'] Exploring Operation: 80/16=5, Resulting Numbers: [5] 5,76 unequal: No Solution Moving to Node #0,1 Current State: 76:[36, 52, 80], Operations: ['32+48=80'] Exploring Operation: 36+80=116, Resulting Numbers: [52, 116] Generated Node #0,1,3: 76:[52, 116] Operation: 36+80=116 Moving to Node #0,1,3 Current State: 76:[52, 116], Operations: ['32+48=80', '36+80=116'] Exploring Operation: 116-52=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,1 Current State: 76:[36, 52, 80], Operations: ['32+48=80'] Exploring Operation: 80-52=28, Resulting Numbers: [36, 28] Generated Node #0,1,4: 76:[36, 28] Operation: 80-52=28 Moving to Node #0,1,4 Current State: 76:[36, 28], Operations: ['32+48=80', '80-52=28'] Exploring Operation: 36+28=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,1,4 Current State: 76:[36, 28], Operations: ['32+48=80', '80-52=28'] Exploring Operation: 36-28=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,1 Current State: 76:[36, 52, 80], Operations: ['32+48=80'] Exploring Operation: 52+80=132, Resulting Numbers: [36, 132] Generated Node #0,1,5: 76:[36, 132] Operation: 52+80=132 Moving to Node #0,1,5 Current State: 76:[36, 132], Operations: ['32+48=80', '52+80=132'] Exploring Operation: 132-36=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 32+52=84, Resulting Numbers: [48, 36, 84] Generated Node #0,2: 76:[48, 36, 84] Operation: 32+52=84 Moving to Node #0,2 Current State: 76:[48, 36, 84], Operations: ['32+52=84'] Exploring Operation: 48+36=84, Resulting Numbers: [84, 84] Generated Node #0,2,0: 76:[84, 84] Operation: 48+36=84 Moving to Node #0,2,0 Current State: 76:[84, 84], Operations: ['32+52=84', '48+36=84'] Exploring Operation: 84/84=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,2,0 Current State: 76:[84, 84], Operations: ['32+52=84', '48+36=84'] Exploring Operation: 84-84=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,2 Current State: 76:[48, 36, 84], Operations: ['32+52=84'] Exploring Operation: 84-36=48, Resulting Numbers: [48, 48] Generated Node #0,2,1: 76:[48, 48] Operation: 84-36=48 Moving to Node #0,2,1 Current State: 76:[48, 48], Operations: ['32+52=84', '84-36=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[48, 48], Operations: ['32+52=84', '84-36=48'] Exploring Operation: 48/48=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[48, 48], Operations: ['32+52=84', '84-36=48'] Exploring Operation: 48-48=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,2 Current State: 76:[48, 36, 84], Operations: ['32+52=84'] Exploring Operation: 48-36=12, Resulting Numbers: [84, 12] Generated Node #0,2,2: 76:[84, 12] Operation: 48-36=12 Moving to Node #0,2,2 Current State: 76:[84, 12], Operations: ['32+52=84', '48-36=12'] Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[84, 12], Operations: ['32+52=84', '48-36=12'] Exploring Operation: 84+12=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[84, 12], Operations: ['32+52=84', '48-36=12'] Exploring Operation: 84/12=7, Resulting Numbers: [7] 7,76 unequal: No Solution Moving to Node #0,2 Current State: 76:[48, 36, 84], Operations: ['32+52=84'] Exploring Operation: 36+84=120, Resulting Numbers: [48, 120] Generated Node #0,2,3: 76:[48, 120] Operation: 36+84=120 Moving to Node #0,2,3 Current State: 76:[48, 120], Operations: ['32+52=84', '36+84=120'] Exploring Operation: 120-48=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,2 Current State: 76:[48, 36, 84], Operations: ['32+52=84'] Exploring Operation: 84-48=36, Resulting Numbers: [36, 36] Generated Node #0,2,4: 76:[36, 36] Operation: 84-48=36 Moving to Node #0,2,4 Current State: 76:[36, 36], Operations: ['32+52=84', '84-48=36'] Exploring Operation: 36+36=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,2,4 Current State: 76:[36, 36], Operations: ['32+52=84', '84-48=36'] Exploring Operation: 36/36=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,2,4 Current State: 76:[36, 36], Operations: ['32+52=84', '84-48=36'] Exploring Operation: 36-36=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,2 Current State: 76:[48, 36, 84], Operations: ['32+52=84'] Exploring Operation: 48+84=132, Resulting Numbers: [36, 132] Generated Node #0,2,5: 76:[36, 132] Operation: 48+84=132 Moving to Node #0,2,5 Current State: 76:[36, 132], Operations: ['32+52=84', '48+84=132'] Exploring Operation: 132-36=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 48+36=84, Resulting Numbers: [32, 52, 84] Generated Node #0,3: 76:[32, 52, 84] Operation: 48+36=84 Moving to Node #0,3 Current State: 76:[32, 52, 84], Operations: ['48+36=84'] Exploring Operation: 32+52=84, Resulting Numbers: [84, 84] Generated Node #0,3,0: 76:[84, 84] Operation: 32+52=84 Moving to Node #0,3,0 Current State: 76:[84, 84], Operations: ['48+36=84', '32+52=84'] Exploring Operation: 84/84=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,3,0 Current State: 76:[84, 84], Operations: ['48+36=84', '32+52=84'] Exploring Operation: 84-84=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,3 Current State: 76:[32, 52, 84], Operations: ['48+36=84'] Exploring Operation: 84-32=52, Resulting Numbers: [52, 52] Generated Node #0,3,1: 76:[52, 52] Operation: 84-32=52 Moving to Node #0,3,1 Current State: 76:[52, 52], Operations: ['48+36=84', '84-32=52'] Exploring Operation: 52+52=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,3,1 Current State: 76:[52, 52], Operations: ['48+36=84', '84-32=52'] Exploring Operation: 52/52=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,3,1 Current State: 76:[52, 52], Operations: ['48+36=84', '84-32=52'] Exploring Operation: 52-52=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,3 Current State: 76:[32, 52, 84], Operations: ['48+36=84'] Exploring Operation: 52-32=20, Resulting Numbers: [84, 20] Generated Node #0,3,2: 76:[84, 20] Operation: 52-32=20 Moving to Node #0,3,2 Current State: 76:[84, 20], Operations: ['48+36=84', '52-32=20'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,3,2 Current State: 76:[84, 20], Operations: ['48+36=84', '52-32=20'] Exploring Operation: 84+20=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,3 Current State: 76:[32, 52, 84], Operations: ['48+36=84'] Exploring Operation: 32+84=116, Resulting Numbers: [52, 116] Generated Node #0,3,3: 76:[52, 116] Operation: 32+84=116 Moving to Node #0,3,3 Current State: 76:[52, 116], Operations: ['48+36=84', '32+84=116'] Exploring Operation: 116-52=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,3 Current State: 76:[32, 52, 84], Operations: ['48+36=84'] Exploring Operation: 84-52=32, Resulting Numbers: [32, 32] Generated Node #0,3,4: 76:[32, 32] Operation: 84-52=32 Moving to Node #0,3,4 Current State: 76:[32, 32], Operations: ['48+36=84', '84-52=32'] Exploring Operation: 32+32=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,3,4 Current State: 76:[32, 32], Operations: ['48+36=84', '84-52=32'] Exploring Operation: 32/32=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,3,4 Current State: 76:[32, 32], Operations: ['48+36=84', '84-52=32'] Exploring Operation: 32-32=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,3 Current State: 76:[32, 52, 84], Operations: ['48+36=84'] Exploring Operation: 52+84=136, Resulting Numbers: [32, 136] Generated Node #0,3,5: 76:[32, 136] Operation: 52+84=136 Moving to Node #0,3,5 Current State: 76:[32, 136], Operations: ['48+36=84', '52+84=136'] Exploring Operation: 136-32=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 36+52=88, Resulting Numbers: [32, 48, 88] Generated Node #0,4: 76:[32, 48, 88] Operation: 36+52=88 Moving to Node #0,4 Current State: 76:[32, 48, 88], Operations: ['36+52=88'] Exploring Operation: 32+48=80, Resulting Numbers: [88, 80] Generated Node #0,4,0: 76:[88, 80] Operation: 32+48=80 Moving to Node #0,4,0 Current State: 76:[88, 80], Operations: ['36+52=88', '32+48=80'] Exploring Operation: 88-80=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,4 Current State: 76:[32, 48, 88], Operations: ['36+52=88'] Exploring Operation: 88-32=56, Resulting Numbers: [48, 56] Generated Node #0,4,1: 76:[48, 56] Operation: 88-32=56 Moving to Node #0,4,1 Current State: 76:[48, 56], Operations: ['36+52=88', '88-32=56'] Exploring Operation: 48+56=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,4,1 Current State: 76:[48, 56], Operations: ['36+52=88', '88-32=56'] Exploring Operation: 56-48=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,4 Current State: 76:[32, 48, 88], Operations: ['36+52=88'] Exploring Operation: 48-32=16, Resulting Numbers: [88, 16] Generated Node #0,4,2: 76:[88, 16] Operation: 48-32=16 Moving to Node #0,4,2 Current State: 76:[88, 16], Operations: ['36+52=88', '48-32=16'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,4,2 Current State: 76:[88, 16], Operations: ['36+52=88', '48-32=16'] Exploring Operation: 88+16=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,4 Current State: 76:[32, 48, 88], Operations: ['36+52=88'] Exploring Operation: 32+88=120, Resulting Numbers: [48, 120] Generated Node #0,4,3: 76:[48, 120] Operation: 32+88=120 Moving to Node #0,4,3 Current State: 76:[48, 120], Operations: ['36+52=88', '32+88=120'] Exploring Operation: 120-48=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,4 Current State: 76:[32, 48, 88], Operations: ['36+52=88'] Exploring Operation: 88-48=40, Resulting Numbers: [32, 40] Generated Node #0,4,4: 76:[32, 40] Operation: 88-48=40 Moving to Node #0,4,4 Current State: 76:[32, 40], Operations: ['36+52=88', '88-48=40'] Exploring Operation: 32+40=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,4,4 Current State: 76:[32, 40], Operations: ['36+52=88', '88-48=40'] Exploring Operation: 40-32=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,4 Current State: 76:[32, 48, 88], Operations: ['36+52=88'] Exploring Operation: 48+88=136, Resulting Numbers: [32, 136] Generated Node #0,4,5: 76:[32, 136] Operation: 48+88=136 Moving to Node #0,4,5 Current State: 76:[32, 136], Operations: ['36+52=88', '48+88=136'] Exploring Operation: 136-32=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 48+52=100, Resulting Numbers: [32, 36, 100] Generated Node #0,5: 76:[32, 36, 100] Operation: 48+52=100 Moving to Node #0,5 Current State: 76:[32, 36, 100], Operations: ['48+52=100'] Exploring Operation: 32+36=68, Resulting Numbers: [100, 68] Generated Node #0,5,0: 76:[100, 68] Operation: 32+36=68 Moving to Node #0,5,0 Current State: 76:[100, 68], Operations: ['48+52=100', '32+36=68'] Exploring Operation: 100-68=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,5 Current State: 76:[32, 36, 100], Operations: ['48+52=100'] Exploring Operation: 100-32=68, Resulting Numbers: [36, 68] Generated Node #0,5,1: 76:[36, 68] Operation: 100-32=68 Moving to Node #0,5,1 Current State: 76:[36, 68], Operations: ['48+52=100', '100-32=68'] Exploring Operation: 36+68=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,5,1 Current State: 76:[36, 68], Operations: ['48+52=100', '100-32=68'] Exploring Operation: 68-36=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,5 Current State: 76:[32, 36, 100], Operations: ['48+52=100'] Exploring Operation: 100-36=64, Resulting Numbers: [32, 64] Generated Node #0,5,2: 76:[32, 64] Operation: 100-36=64 Moving to Node #0,5,2 Current State: 76:[32, 64], Operations: ['48+52=100', '100-36=64'] Exploring Operation: 32+64=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,5,2 Current State: 76:[32, 64], Operations: ['48+52=100', '100-36=64'] Exploring Operation: 64-32=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,5,2 Current State: 76:[32, 64], Operations: ['48+52=100', '100-36=64'] Exploring Operation: 64/32=2, Resulting Numbers: [2] 2,76 unequal: No Solution Moving to Node #0,5 Current State: 76:[32, 36, 100], Operations: ['48+52=100'] Exploring Operation: 36-32=4, Resulting Numbers: [100, 4] Generated Node #0,5,3: 76:[100, 4] Operation: 36-32=4 Moving to Node #0,5,3 Current State: 76:[100, 4], Operations: ['48+52=100', '36-32=4'] Exploring Operation: 100-4=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,5,3 Current State: 76:[100, 4], Operations: ['48+52=100', '36-32=4'] Exploring Operation: 100+4=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,5,3 Current State: 76:[100, 4], Operations: ['48+52=100', '36-32=4'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,76 unequal: No Solution Moving to Node #0,5 Current State: 76:[32, 36, 100], Operations: ['48+52=100'] Exploring Operation: 32+100=132, Resulting Numbers: [36, 132] Generated Node #0,5,4: 76:[36, 132] Operation: 32+100=132 Moving to Node #0,5,4 Current State: 76:[36, 132], Operations: ['48+52=100', '32+100=132'] Exploring Operation: 132-36=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,5 Current State: 76:[32, 36, 100], Operations: ['48+52=100'] Exploring Operation: 36+100=136, Resulting Numbers: [32, 136] Generated Node #0,5,5: 76:[32, 136] Operation: 36+100=136 Moving to Node #0,5,5 Current State: 76:[32, 136], Operations: ['48+52=100', '36+100=136'] Exploring Operation: 136-32=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 48-32=16, Resulting Numbers: [36, 52, 16] Generated Node #0,6: 76:[36, 52, 16] Operation: 48-32=16 Moving to Node #0,6 Current State: 76:[36, 52, 16], Operations: ['48-32=16'] Exploring Operation: 36+16=52, Resulting Numbers: [52, 52] Generated Node #0,6,0: 76:[52, 52] Operation: 36+16=52 Moving to Node #0,6,0 Current State: 76:[52, 52], Operations: ['48-32=16', '36+16=52'] Exploring Operation: 52+52=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,6,0 Current State: 76:[52, 52], Operations: ['48-32=16', '36+16=52'] Exploring Operation: 52/52=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,6,0 Current State: 76:[52, 52], Operations: ['48-32=16', '36+16=52'] Exploring Operation: 52-52=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,6 Current State: 76:[36, 52, 16], Operations: ['48-32=16'] Exploring Operation: 52+16=68, Resulting Numbers: [36, 68] Generated Node #0,6,1: 76:[36, 68] Operation: 52+16=68 Moving to Node #0,6,1 Current State: 76:[36, 68], Operations: ['48-32=16', '52+16=68'] Exploring Operation: 36+68=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,6,1 Current State: 76:[36, 68], Operations: ['48-32=16', '52+16=68'] Exploring Operation: 68-36=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,6 Current State: 76:[36, 52, 16], Operations: ['48-32=16'] Exploring Operation: 36+52=88, Resulting Numbers: [16, 88] Generated Node #0,6,2: 76:[16, 88] Operation: 36+52=88 Moving to Node #0,6,2 Current State: 76:[16, 88], Operations: ['48-32=16', '36+52=88'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,6,2 Current State: 76:[16, 88], Operations: ['48-32=16', '36+52=88'] Exploring Operation: 16+88=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,6 Current State: 76:[36, 52, 16], Operations: ['48-32=16'] Exploring Operation: 36-16=20, Resulting Numbers: [52, 20] Generated Node #0,6,3: 76:[52, 20] Operation: 36-16=20 Moving to Node #0,6,3 Current State: 76:[52, 20], Operations: ['48-32=16', '36-16=20'] Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,6,3 Current State: 76:[52, 20], Operations: ['48-32=16', '36-16=20'] Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,6 Current State: 76:[36, 52, 16], Operations: ['48-32=16'] Exploring Operation: 52-16=36, Resulting Numbers: [36, 36] Generated Node #0,6,4: 76:[36, 36] Operation: 52-16=36 Moving to Node #0,6,4 Current State: 76:[36, 36], Operations: ['48-32=16', '52-16=36'] Exploring Operation: 36+36=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,6,4 Current State: 76:[36, 36], Operations: ['48-32=16', '52-16=36'] Exploring Operation: 36/36=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,6,4 Current State: 76:[36, 36], Operations: ['48-32=16', '52-16=36'] Exploring Operation: 36-36=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,6 Current State: 76:[36, 52, 16], Operations: ['48-32=16'] Exploring Operation: 52-36=16, Resulting Numbers: [16, 16] Generated Node #0,6,5: 76:[16, 16] Operation: 52-36=16 Moving to Node #0,6,5 Current State: 76:[16, 16], Operations: ['48-32=16', '52-36=16'] Exploring Operation: 16+16=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,6,5 Current State: 76:[16, 16], Operations: ['48-32=16', '52-36=16'] Exploring Operation: 16/16=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,6,5 Current State: 76:[16, 16], Operations: ['48-32=16', '52-36=16'] Exploring Operation: 16-16=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [48, 52, 4] Generated Node #0,7: 76:[48, 52, 4] Operation: 36-32=4 Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 48+4=52, Resulting Numbers: [52, 52] Generated Node #0,7,0: 76:[52, 52] Operation: 48+4=52 Moving to Node #0,7,0 Current State: 76:[52, 52], Operations: ['36-32=4', '48+4=52'] Exploring Operation: 52+52=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,7,0 Current State: 76:[52, 52], Operations: ['36-32=4', '48+4=52'] Exploring Operation: 52/52=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,7,0 Current State: 76:[52, 52], Operations: ['36-32=4', '48+4=52'] Exploring Operation: 52-52=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 52+4=56, Resulting Numbers: [48, 56] Generated Node #0,7,1: 76:[48, 56] Operation: 52+4=56 Moving to Node #0,7,1 Current State: 76:[48, 56], Operations: ['36-32=4', '52+4=56'] Exploring Operation: 48+56=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,7,1 Current State: 76:[48, 56], Operations: ['36-32=4', '52+4=56'] Exploring Operation: 56-48=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 48-4=44, Resulting Numbers: [52, 44] Generated Node #0,7,2: 76:[52, 44] Operation: 48-4=44 Moving to Node #0,7,2 Current State: 76:[52, 44], Operations: ['36-32=4', '48-4=44'] Exploring Operation: 52+44=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,7,2 Current State: 76:[52, 44], Operations: ['36-32=4', '48-4=44'] Exploring Operation: 52-44=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48, 48] Generated Node #0,7,3: 76:[48, 48] Operation: 52-4=48 Moving to Node #0,7,3 Current State: 76:[48, 48], Operations: ['36-32=4', '52-4=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,7,3 Current State: 76:[48, 48], Operations: ['36-32=4', '52-4=48'] Exploring Operation: 48/48=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,7,3 Current State: 76:[48, 48], Operations: ['36-32=4', '52-4=48'] Exploring Operation: 48-48=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 48/4=12, Resulting Numbers: [52, 12] Generated Node #0,7,4: 76:[52, 12] Operation: 48/4=12 Moving to Node #0,7,4 Current State: 76:[52, 12], Operations: ['36-32=4', '48/4=12'] Exploring Operation: 52+12=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,7,4 Current State: 76:[52, 12], Operations: ['36-32=4', '48/4=12'] Exploring Operation: 52-12=40, Resulting Numbers: [40] 40,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 52/4=13, Resulting Numbers: [48, 13] Generated Node #0,7,5: 76:[48, 13] Operation: 52/4=13 Moving to Node #0,7,5 Current State: 76:[48, 13], Operations: ['36-32=4', '52/4=13'] Exploring Operation: 48+13=61, Resulting Numbers: [61] 61,76 unequal: No Solution Moving to Node #0,7,5 Current State: 76:[48, 13], Operations: ['36-32=4', '52/4=13'] Exploring Operation: 48-13=35, Resulting Numbers: [35] 35,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 48+52=100, Resulting Numbers: [4, 100] Generated Node #0,7,6: 76:[4, 100] Operation: 48+52=100 Moving to Node #0,7,6 Current State: 76:[4, 100], Operations: ['36-32=4', '48+52=100'] Exploring Operation: 100-4=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,7,6 Current State: 76:[4, 100], Operations: ['36-32=4', '48+52=100'] Exploring Operation: 4+100=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,7,6 Current State: 76:[4, 100], Operations: ['36-32=4', '48+52=100'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 48*4=192, Resulting Numbers: [52, 192] Generated Node #0,7,7: 76:[52, 192] Operation: 48*4=192 Moving to Node #0,7,7 Current State: 76:[52, 192], Operations: ['36-32=4', '48*4=192'] Exploring Operation: 192-52=140, Resulting Numbers: [140] 140,76 unequal: No Solution Moving to Node #0,7 Current State: 76:[48, 52, 4], Operations: ['36-32=4'] Exploring Operation: 52-48=4, Resulting Numbers: [4, 4] Generated Node #0,7,8: 76:[4, 4] Operation: 52-48=4 Moving to Node #0,7,8 Current State: 76:[4, 4], Operations: ['36-32=4', '52-48=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,76 unequal: No Solution Moving to Node #0,7,8 Current State: 76:[4, 4], Operations: ['36-32=4', '52-48=4'] Exploring Operation: 4+4=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,7,8 Current State: 76:[4, 4], Operations: ['36-32=4', '52-48=4'] Exploring Operation: 4/4=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,7,8 Current State: 76:[4, 4], Operations: ['36-32=4', '52-48=4'] Exploring Operation: 4-4=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 52-32=20, Resulting Numbers: [48, 36, 20] Generated Node #0,8: 76:[48, 36, 20] Operation: 52-32=20 Moving to Node #0,8 Current State: 76:[48, 36, 20], Operations: ['52-32=20'] Exploring Operation: 48+20=68, Resulting Numbers: [36, 68] Generated Node #0,8,0: 76:[36, 68] Operation: 48+20=68 Moving to Node #0,8,0 Current State: 76:[36, 68], Operations: ['52-32=20', '48+20=68'] Exploring Operation: 36+68=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,8,0 Current State: 76:[36, 68], Operations: ['52-32=20', '48+20=68'] Exploring Operation: 68-36=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,8 Current State: 76:[48, 36, 20], Operations: ['52-32=20'] Exploring Operation: 36+20=56, Resulting Numbers: [48, 56] Generated Node #0,8,1: 76:[48, 56] Operation: 36+20=56 Moving to Node #0,8,1 Current State: 76:[48, 56], Operations: ['52-32=20', '36+20=56'] Exploring Operation: 48+56=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,8,1 Current State: 76:[48, 56], Operations: ['52-32=20', '36+20=56'] Exploring Operation: 56-48=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,8 Current State: 76:[48, 36, 20], Operations: ['52-32=20'] Exploring Operation: 48+36=84, Resulting Numbers: [20, 84] Generated Node #0,8,2: 76:[20, 84] Operation: 48+36=84 Moving to Node #0,8,2 Current State: 76:[20, 84], Operations: ['52-32=20', '48+36=84'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,8,2 Current State: 76:[20, 84], Operations: ['52-32=20', '48+36=84'] Exploring Operation: 20+84=104, Resulting Numbers: [104] 104,76 unequal: No Solution Moving to Node #0,8 Current State: 76:[48, 36, 20], Operations: ['52-32=20'] Exploring Operation: 48-20=28, Resulting Numbers: [36, 28] Generated Node #0,8,3: 76:[36, 28] Operation: 48-20=28 Moving to Node #0,8,3 Current State: 76:[36, 28], Operations: ['52-32=20', '48-20=28'] Exploring Operation: 36+28=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,8,3 Current State: 76:[36, 28], Operations: ['52-32=20', '48-20=28'] Exploring Operation: 36-28=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,8 Current State: 76:[48, 36, 20], Operations: ['52-32=20'] Exploring Operation: 36-20=16, Resulting Numbers: [48, 16] Generated Node #0,8,4: 76:[48, 16] Operation: 36-20=16 Moving to Node #0,8,4 Current State: 76:[48, 16], Operations: ['52-32=20', '36-20=16'] Exploring Operation: 48+16=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,8,4 Current State: 76:[48, 16], Operations: ['52-32=20', '36-20=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,8,4 Current State: 76:[48, 16], Operations: ['52-32=20', '36-20=16'] Exploring Operation: 48/16=3, Resulting Numbers: [3] 3,76 unequal: No Solution Moving to Node #0,8 Current State: 76:[48, 36, 20], Operations: ['52-32=20'] Exploring Operation: 48-36=12, Resulting Numbers: [20, 12] Generated Node #0,8,5: 76:[20, 12] Operation: 48-36=12 Moving to Node #0,8,5 Current State: 76:[20, 12], Operations: ['52-32=20', '48-36=12'] Exploring Operation: 20+12=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,8,5 Current State: 76:[20, 12], Operations: ['52-32=20', '48-36=12'] Exploring Operation: 20-12=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 48-36=12, Resulting Numbers: [32, 52, 12] Generated Node #0,9: 76:[32, 52, 12] Operation: 48-36=12 Moving to Node #0,9 Current State: 76:[32, 52, 12], Operations: ['48-36=12'] Exploring Operation: 32+12=44, Resulting Numbers: [52, 44] Generated Node #0,9,0: 76:[52, 44] Operation: 32+12=44 Moving to Node #0,9,0 Current State: 76:[52, 44], Operations: ['48-36=12', '32+12=44'] Exploring Operation: 52+44=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,9,0 Current State: 76:[52, 44], Operations: ['48-36=12', '32+12=44'] Exploring Operation: 52-44=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,9 Current State: 76:[32, 52, 12], Operations: ['48-36=12'] Exploring Operation: 52+12=64, Resulting Numbers: [32, 64] Generated Node #0,9,1: 76:[32, 64] Operation: 52+12=64 Moving to Node #0,9,1 Current State: 76:[32, 64], Operations: ['48-36=12', '52+12=64'] Exploring Operation: 32+64=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,9,1 Current State: 76:[32, 64], Operations: ['48-36=12', '52+12=64'] Exploring Operation: 64-32=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,9,1 Current State: 76:[32, 64], Operations: ['48-36=12', '52+12=64'] Exploring Operation: 64/32=2, Resulting Numbers: [2] 2,76 unequal: No Solution Moving to Node #0,9 Current State: 76:[32, 52, 12], Operations: ['48-36=12'] Exploring Operation: 32+52=84, Resulting Numbers: [12, 84] Generated Node #0,9,2: 76:[12, 84] Operation: 32+52=84 Moving to Node #0,9,2 Current State: 76:[12, 84], Operations: ['48-36=12', '32+52=84'] Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,9,2 Current State: 76:[12, 84], Operations: ['48-36=12', '32+52=84'] Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,9,2 Current State: 76:[12, 84], Operations: ['48-36=12', '32+52=84'] Exploring Operation: 84/12=7, Resulting Numbers: [7] 7,76 unequal: No Solution Moving to Node #0,9 Current State: 76:[32, 52, 12], Operations: ['48-36=12'] Exploring Operation: 32-12=20, Resulting Numbers: [52, 20] Generated Node #0,9,3: 76:[52, 20] Operation: 32-12=20 Moving to Node #0,9,3 Current State: 76:[52, 20], Operations: ['48-36=12', '32-12=20'] Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,9,3 Current State: 76:[52, 20], Operations: ['48-36=12', '32-12=20'] Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,9 Current State: 76:[32, 52, 12], Operations: ['48-36=12'] Exploring Operation: 52-12=40, Resulting Numbers: [32, 40] Generated Node #0,9,4: 76:[32, 40] Operation: 52-12=40 Moving to Node #0,9,4 Current State: 76:[32, 40], Operations: ['48-36=12', '52-12=40'] Exploring Operation: 32+40=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,9,4 Current State: 76:[32, 40], Operations: ['48-36=12', '52-12=40'] Exploring Operation: 40-32=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,9 Current State: 76:[32, 52, 12], Operations: ['48-36=12'] Exploring Operation: 52-32=20, Resulting Numbers: [12, 20] Generated Node #0,9,5: 76:[12, 20] Operation: 52-32=20 Moving to Node #0,9,5 Current State: 76:[12, 20], Operations: ['48-36=12', '52-32=20'] Exploring Operation: 12+20=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,9,5 Current State: 76:[12, 20], Operations: ['48-36=12', '52-32=20'] Exploring Operation: 20-12=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 52-36=16, Resulting Numbers: [32, 48, 16] Generated Node #0,10: 76:[32, 48, 16] Operation: 52-36=16 Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 32+16=48, Resulting Numbers: [48, 48] Generated Node #0,10,0: 76:[48, 48] Operation: 32+16=48 Moving to Node #0,10,0 Current State: 76:[48, 48], Operations: ['52-36=16', '32+16=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,10,0 Current State: 76:[48, 48], Operations: ['52-36=16', '32+16=48'] Exploring Operation: 48/48=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,10,0 Current State: 76:[48, 48], Operations: ['52-36=16', '32+16=48'] Exploring Operation: 48-48=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 48+16=64, Resulting Numbers: [32, 64] Generated Node #0,10,1: 76:[32, 64] Operation: 48+16=64 Moving to Node #0,10,1 Current State: 76:[32, 64], Operations: ['52-36=16', '48+16=64'] Exploring Operation: 32+64=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,10,1 Current State: 76:[32, 64], Operations: ['52-36=16', '48+16=64'] Exploring Operation: 64-32=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,10,1 Current State: 76:[32, 64], Operations: ['52-36=16', '48+16=64'] Exploring Operation: 64/32=2, Resulting Numbers: [2] 2,76 unequal: No Solution Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 32+48=80, Resulting Numbers: [16, 80] Generated Node #0,10,2: 76:[16, 80] Operation: 32+48=80 Moving to Node #0,10,2 Current State: 76:[16, 80], Operations: ['52-36=16', '32+48=80'] Exploring Operation: 80-16=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,10,2 Current State: 76:[16, 80], Operations: ['52-36=16', '32+48=80'] Exploring Operation: 16+80=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,10,2 Current State: 76:[16, 80], Operations: ['52-36=16', '32+48=80'] Exploring Operation: 80/16=5, Resulting Numbers: [5] 5,76 unequal: No Solution Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 32-16=16, Resulting Numbers: [48, 16] Generated Node #0,10,3: 76:[48, 16] Operation: 32-16=16 Moving to Node #0,10,3 Current State: 76:[48, 16], Operations: ['52-36=16', '32-16=16'] Exploring Operation: 48+16=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,10,3 Current State: 76:[48, 16], Operations: ['52-36=16', '32-16=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,10,3 Current State: 76:[48, 16], Operations: ['52-36=16', '32-16=16'] Exploring Operation: 48/16=3, Resulting Numbers: [3] 3,76 unequal: No Solution Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32, 32] Generated Node #0,10,4: 76:[32, 32] Operation: 48-16=32 Moving to Node #0,10,4 Current State: 76:[32, 32], Operations: ['52-36=16', '48-16=32'] Exploring Operation: 32+32=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,10,4 Current State: 76:[32, 32], Operations: ['52-36=16', '48-16=32'] Exploring Operation: 32/32=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,10,4 Current State: 76:[32, 32], Operations: ['52-36=16', '48-16=32'] Exploring Operation: 32-32=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 32/16=2, Resulting Numbers: [48, 2] Generated Node #0,10,5: 76:[48, 2] Operation: 32/16=2 Moving to Node #0,10,5 Current State: 76:[48, 2], Operations: ['52-36=16', '32/16=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,10,5 Current State: 76:[48, 2], Operations: ['52-36=16', '32/16=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,76 unequal: No Solution Moving to Node #0,10,5 Current State: 76:[48, 2], Operations: ['52-36=16', '32/16=2'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,76 unequal: No Solution Moving to Node #0,10,5 Current State: 76:[48, 2], Operations: ['52-36=16', '32/16=2'] Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,76 unequal: No Solution Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 48/16=3, Resulting Numbers: [32, 3] Generated Node #0,10,6: 76:[32, 3] Operation: 48/16=3 Moving to Node #0,10,6 Current State: 76:[32, 3], Operations: ['52-36=16', '48/16=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,76 unequal: No Solution Moving to Node #0,10,6 Current State: 76:[32, 3], Operations: ['52-36=16', '48/16=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,76 unequal: No Solution Moving to Node #0,10,6 Current State: 76:[32, 3], Operations: ['52-36=16', '48/16=3'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,76 unequal: No Solution Moving to Node #0,10 Current State: 76:[32, 48, 16], Operations: ['52-36=16'] Exploring Operation: 48-32=16, Resulting Numbers: [16, 16] Generated Node #0,10,7: 76:[16, 16] Operation: 48-32=16 Moving to Node #0,10,7 Current State: 76:[16, 16], Operations: ['52-36=16', '48-32=16'] Exploring Operation: 16+16=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,10,7 Current State: 76:[16, 16], Operations: ['52-36=16', '48-32=16'] Exploring Operation: 16/16=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,10,7 Current State: 76:[16, 16], Operations: ['52-36=16', '48-32=16'] Exploring Operation: 16-16=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0 Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [32, 36, 4] Generated Node #0,11: 76:[32, 36, 4] Operation: 52-48=4 Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 32+36=68, Resulting Numbers: [4, 68] Generated Node #0,11,0: 76:[4, 68] Operation: 32+36=68 Moving to Node #0,11,0 Current State: 76:[4, 68], Operations: ['52-48=4', '32+36=68'] Exploring Operation: 4+68=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,11,0 Current State: 76:[4, 68], Operations: ['52-48=4', '32+36=68'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,11,0 Current State: 76:[4, 68], Operations: ['52-48=4', '32+36=68'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36, 36] Generated Node #0,11,1: 76:[36, 36] Operation: 32+4=36 Moving to Node #0,11,1 Current State: 76:[36, 36], Operations: ['52-48=4', '32+4=36'] Exploring Operation: 36+36=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,11,1 Current State: 76:[36, 36], Operations: ['52-48=4', '32+4=36'] Exploring Operation: 36/36=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,11,1 Current State: 76:[36, 36], Operations: ['52-48=4', '32+4=36'] Exploring Operation: 36-36=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 36+4=40, Resulting Numbers: [32, 40] Generated Node #0,11,2: 76:[32, 40] Operation: 36+4=40 Moving to Node #0,11,2 Current State: 76:[32, 40], Operations: ['52-48=4', '36+4=40'] Exploring Operation: 32+40=72, Resulting Numbers: [72] 72,76 unequal: No Solution Moving to Node #0,11,2 Current State: 76:[32, 40], Operations: ['52-48=4', '36+4=40'] Exploring Operation: 40-32=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 32-4=28, Resulting Numbers: [36, 28] Generated Node #0,11,3: 76:[36, 28] Operation: 32-4=28 Moving to Node #0,11,3 Current State: 76:[36, 28], Operations: ['52-48=4', '32-4=28'] Exploring Operation: 36+28=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,11,3 Current State: 76:[36, 28], Operations: ['52-48=4', '32-4=28'] Exploring Operation: 36-28=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32, 32] Generated Node #0,11,4: 76:[32, 32] Operation: 36-4=32 Moving to Node #0,11,4 Current State: 76:[32, 32], Operations: ['52-48=4', '36-4=32'] Exploring Operation: 32+32=64, Resulting Numbers: [64] 64,76 unequal: No Solution Moving to Node #0,11,4 Current State: 76:[32, 32], Operations: ['52-48=4', '36-4=32'] Exploring Operation: 32/32=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,11,4 Current State: 76:[32, 32], Operations: ['52-48=4', '36-4=32'] Exploring Operation: 32-32=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 32*4=128, Resulting Numbers: [36, 128] Generated Node #0,11,5: 76:[36, 128] Operation: 32*4=128 Moving to Node #0,11,5 Current State: 76:[36, 128], Operations: ['52-48=4', '32*4=128'] Exploring Operation: 128-36=92, Resulting Numbers: [92] 92,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 32/4=8, Resulting Numbers: [36, 8] Generated Node #0,11,6: 76:[36, 8] Operation: 32/4=8 Moving to Node #0,11,6 Current State: 76:[36, 8], Operations: ['52-48=4', '32/4=8'] Exploring Operation: 36+8=44, Resulting Numbers: [44] 44,76 unequal: No Solution Moving to Node #0,11,6 Current State: 76:[36, 8], Operations: ['52-48=4', '32/4=8'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 36/4=9, Resulting Numbers: [32, 9] Generated Node #0,11,7: 76:[32, 9] Operation: 36/4=9 Moving to Node #0,11,7 Current State: 76:[32, 9], Operations: ['52-48=4', '36/4=9'] Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,76 unequal: No Solution Moving to Node #0,11,7 Current State: 76:[32, 9], Operations: ['52-48=4', '36/4=9'] Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 36*4=144, Resulting Numbers: [32, 144] Generated Node #0,11,8: 76:[32, 144] Operation: 36*4=144 Moving to Node #0,11,8 Current State: 76:[32, 144], Operations: ['52-48=4', '36*4=144'] Exploring Operation: 144-32=112, Resulting Numbers: [112] 112,76 unequal: No Solution Moving to Node #0,11 Current State: 76:[32, 36, 4], Operations: ['52-48=4'] Exploring Operation: 36-32=4, Resulting Numbers: [4, 4] Generated Node #0,11,9: 76:[4, 4] Operation: 36-32=4 Moving to Node #0,11,9 Current State: 76:[4, 4], Operations: ['52-48=4', '36-32=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,76 unequal: No Solution Moving to Node #0,11,9 Current State: 76:[4, 4], Operations: ['52-48=4', '36-32=4'] Exploring Operation: 4+4=8, Resulting Numbers: [8] 8,76 unequal: No Solution Moving to Node #0,11,9 Current State: 76:[4, 4], Operations: ['52-48=4', '36-32=4'] Exploring Operation: 4/4=1, Resulting Numbers: [1] 1,76 unequal: No Solution Moving to Node #0,11,9 Current State: 76:[4, 4], Operations: ['52-48=4', '36-32=4'] Exploring Operation: 4-4=0, Resulting Numbers: [0] 0,76 unequal: No Solution
0
dfs
Current State: 76:[32, 48, 36, 52], Operations: [] Exploring Operation: 32*36=1152, Resulting Numbers: [48, 52, 1152] Generated Node #2: [48, 52, 1152] from Operation: 32*36=1152 Current State: 76:[48, 52, 1152], Operations: ['32*36=1152'] Exploring Operation: 1152/48=24, Resulting Numbers: [52, 24] Generated Node #3: [52, 24] from Operation: 1152/48=24 Current State: 76:[52, 24], Operations: ['32*36=1152', '1152/48=24'] Exploring Operation: 52+24=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
sum_heuristic
[ { "content": "Make 76 with the numbers [32, 48, 36, 52] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 32+36=68, Resulting Numbers: [48, 52, 68]\nGenerated Node #0,0: 76:[48, 52, 68] Operation: 32+36=68\nMoving to Node #0,0\nCurrent State: 76:[48, 52, 68], Operations: ['32+36=68']\nExploring Operation: 48+52=100, Resulting Numbers: [68, 100]\nGenerated Node #0,0,0: 76:[68, 100] Operation: 48+52=100\nMoving to Node #0,0,0\nCurrent State: 76:[68, 100], Operations: ['32+36=68', '48+52=100']\nExploring Operation: 100-68=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[48, 52, 68], Operations: ['32+36=68']\nExploring Operation: 48+68=116, Resulting Numbers: [52, 116]\nGenerated Node #0,0,1: 76:[52, 116] Operation: 48+68=116\nMoving to Node #0,0,1\nCurrent State: 76:[52, 116], Operations: ['32+36=68', '48+68=116']\nExploring Operation: 116-52=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[48, 52, 68], Operations: ['32+36=68']\nExploring Operation: 52+68=120, Resulting Numbers: [48, 120]\nGenerated Node #0,0,2: 76:[48, 120] Operation: 52+68=120\nMoving to Node #0,0,2\nCurrent State: 76:[48, 120], Operations: ['32+36=68', '52+68=120']\nExploring Operation: 120-48=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[48, 52, 68], Operations: ['32+36=68']\nExploring Operation: 52-48=4, Resulting Numbers: [68, 4]\nGenerated Node #0,0,3: 76:[68, 4] Operation: 52-48=4\nMoving to Node #0,0,3\nCurrent State: 76:[68, 4], Operations: ['32+36=68', '52-48=4']\nExploring Operation: 68+4=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 76:[68, 4], Operations: ['32+36=68', '52-48=4']\nExploring Operation: 68-4=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 76:[68, 4], Operations: ['32+36=68', '52-48=4']\nExploring Operation: 68/4=17, Resulting Numbers: [17]\n17,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[48, 52, 68], Operations: ['32+36=68']\nExploring Operation: 68-48=20, Resulting Numbers: [52, 20]\nGenerated Node #0,0,4: 76:[52, 20] Operation: 68-48=20\nMoving to Node #0,0,4\nCurrent State: 76:[52, 20], Operations: ['32+36=68', '68-48=20']\nExploring Operation: 52+20=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[52, 20], Operations: ['32+36=68', '68-48=20']\nExploring Operation: 52-20=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[48, 52, 68], Operations: ['32+36=68']\nExploring Operation: 68-52=16, Resulting Numbers: [48, 16]\nGenerated Node #0,0,5: 76:[48, 16] Operation: 68-52=16\nMoving to Node #0,0,5\nCurrent State: 76:[48, 16], Operations: ['32+36=68', '68-52=16']\nExploring Operation: 48+16=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[48, 16], Operations: ['32+36=68', '68-52=16']\nExploring Operation: 48-16=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[48, 16], Operations: ['32+36=68', '68-52=16']\nExploring Operation: 48/16=3, Resulting Numbers: [3]\n3,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 32+48=80, Resulting Numbers: [36, 52, 80]\nGenerated Node #0,1: 76:[36, 52, 80] Operation: 32+48=80\nMoving to Node #0,1\nCurrent State: 76:[36, 52, 80], Operations: ['32+48=80']\nExploring Operation: 36+52=88, Resulting Numbers: [80, 88]\nGenerated Node #0,1,0: 76:[80, 88] Operation: 36+52=88\nMoving to Node #0,1,0\nCurrent State: 76:[80, 88], Operations: ['32+48=80', '36+52=88']\nExploring Operation: 88-80=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[36, 52, 80], Operations: ['32+48=80']\nExploring Operation: 80-36=44, Resulting Numbers: [52, 44]\nGenerated Node #0,1,1: 76:[52, 44] Operation: 80-36=44\nMoving to Node #0,1,1\nCurrent State: 76:[52, 44], Operations: ['32+48=80', '80-36=44']\nExploring Operation: 52+44=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 76:[52, 44], Operations: ['32+48=80', '80-36=44']\nExploring Operation: 52-44=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[36, 52, 80], Operations: ['32+48=80']\nExploring Operation: 52-36=16, Resulting Numbers: [80, 16]\nGenerated Node #0,1,2: 76:[80, 16] Operation: 52-36=16\nMoving to Node #0,1,2\nCurrent State: 76:[80, 16], Operations: ['32+48=80', '52-36=16']\nExploring Operation: 80-16=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 76:[80, 16], Operations: ['32+48=80', '52-36=16']\nExploring Operation: 80+16=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 76:[80, 16], Operations: ['32+48=80', '52-36=16']\nExploring Operation: 80/16=5, Resulting Numbers: [5]\n5,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[36, 52, 80], Operations: ['32+48=80']\nExploring Operation: 36+80=116, Resulting Numbers: [52, 116]\nGenerated Node #0,1,3: 76:[52, 116] Operation: 36+80=116\nMoving to Node #0,1,3\nCurrent State: 76:[52, 116], Operations: ['32+48=80', '36+80=116']\nExploring Operation: 116-52=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[36, 52, 80], Operations: ['32+48=80']\nExploring Operation: 80-52=28, Resulting Numbers: [36, 28]\nGenerated Node #0,1,4: 76:[36, 28] Operation: 80-52=28\nMoving to Node #0,1,4\nCurrent State: 76:[36, 28], Operations: ['32+48=80', '80-52=28']\nExploring Operation: 36+28=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 76:[36, 28], Operations: ['32+48=80', '80-52=28']\nExploring Operation: 36-28=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[36, 52, 80], Operations: ['32+48=80']\nExploring Operation: 52+80=132, Resulting Numbers: [36, 132]\nGenerated Node #0,1,5: 76:[36, 132] Operation: 52+80=132\nMoving to Node #0,1,5\nCurrent State: 76:[36, 132], Operations: ['32+48=80', '52+80=132']\nExploring Operation: 132-36=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 32+52=84, Resulting Numbers: [48, 36, 84]\nGenerated Node #0,2: 76:[48, 36, 84] Operation: 32+52=84\nMoving to Node #0,2\nCurrent State: 76:[48, 36, 84], Operations: ['32+52=84']\nExploring Operation: 48+36=84, Resulting Numbers: [84, 84]\nGenerated Node #0,2,0: 76:[84, 84] Operation: 48+36=84\nMoving to Node #0,2,0\nCurrent State: 76:[84, 84], Operations: ['32+52=84', '48+36=84']\nExploring Operation: 84/84=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 76:[84, 84], Operations: ['32+52=84', '48+36=84']\nExploring Operation: 84-84=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[48, 36, 84], Operations: ['32+52=84']\nExploring Operation: 84-36=48, Resulting Numbers: [48, 48]\nGenerated Node #0,2,1: 76:[48, 48] Operation: 84-36=48\nMoving to Node #0,2,1\nCurrent State: 76:[48, 48], Operations: ['32+52=84', '84-36=48']\nExploring Operation: 48+48=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 76:[48, 48], Operations: ['32+52=84', '84-36=48']\nExploring Operation: 48/48=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 76:[48, 48], Operations: ['32+52=84', '84-36=48']\nExploring Operation: 48-48=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[48, 36, 84], Operations: ['32+52=84']\nExploring Operation: 48-36=12, Resulting Numbers: [84, 12]\nGenerated Node #0,2,2: 76:[84, 12] Operation: 48-36=12\nMoving to Node #0,2,2\nCurrent State: 76:[84, 12], Operations: ['32+52=84', '48-36=12']\nExploring Operation: 84-12=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 76:[84, 12], Operations: ['32+52=84', '48-36=12']\nExploring Operation: 84+12=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 76:[84, 12], Operations: ['32+52=84', '48-36=12']\nExploring Operation: 84/12=7, Resulting Numbers: [7]\n7,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[48, 36, 84], Operations: ['32+52=84']\nExploring Operation: 36+84=120, Resulting Numbers: [48, 120]\nGenerated Node #0,2,3: 76:[48, 120] Operation: 36+84=120\nMoving to Node #0,2,3\nCurrent State: 76:[48, 120], Operations: ['32+52=84', '36+84=120']\nExploring Operation: 120-48=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[48, 36, 84], Operations: ['32+52=84']\nExploring Operation: 84-48=36, Resulting Numbers: [36, 36]\nGenerated Node #0,2,4: 76:[36, 36] Operation: 84-48=36\nMoving to Node #0,2,4\nCurrent State: 76:[36, 36], Operations: ['32+52=84', '84-48=36']\nExploring Operation: 36+36=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 76:[36, 36], Operations: ['32+52=84', '84-48=36']\nExploring Operation: 36/36=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 76:[36, 36], Operations: ['32+52=84', '84-48=36']\nExploring Operation: 36-36=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[48, 36, 84], Operations: ['32+52=84']\nExploring Operation: 48+84=132, Resulting Numbers: [36, 132]\nGenerated Node #0,2,5: 76:[36, 132] Operation: 48+84=132\nMoving to Node #0,2,5\nCurrent State: 76:[36, 132], Operations: ['32+52=84', '48+84=132']\nExploring Operation: 132-36=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 48+36=84, Resulting Numbers: [32, 52, 84]\nGenerated Node #0,3: 76:[32, 52, 84] Operation: 48+36=84\nMoving to Node #0,3\nCurrent State: 76:[32, 52, 84], Operations: ['48+36=84']\nExploring Operation: 32+52=84, Resulting Numbers: [84, 84]\nGenerated Node #0,3,0: 76:[84, 84] Operation: 32+52=84\nMoving to Node #0,3,0\nCurrent State: 76:[84, 84], Operations: ['48+36=84', '32+52=84']\nExploring Operation: 84/84=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 76:[84, 84], Operations: ['48+36=84', '32+52=84']\nExploring Operation: 84-84=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[32, 52, 84], Operations: ['48+36=84']\nExploring Operation: 84-32=52, Resulting Numbers: [52, 52]\nGenerated Node #0,3,1: 76:[52, 52] Operation: 84-32=52\nMoving to Node #0,3,1\nCurrent State: 76:[52, 52], Operations: ['48+36=84', '84-32=52']\nExploring Operation: 52+52=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 76:[52, 52], Operations: ['48+36=84', '84-32=52']\nExploring Operation: 52/52=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 76:[52, 52], Operations: ['48+36=84', '84-32=52']\nExploring Operation: 52-52=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[32, 52, 84], Operations: ['48+36=84']\nExploring Operation: 52-32=20, Resulting Numbers: [84, 20]\nGenerated Node #0,3,2: 76:[84, 20] Operation: 52-32=20\nMoving to Node #0,3,2\nCurrent State: 76:[84, 20], Operations: ['48+36=84', '52-32=20']\nExploring Operation: 84-20=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 76:[84, 20], Operations: ['48+36=84', '52-32=20']\nExploring Operation: 84+20=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[32, 52, 84], Operations: ['48+36=84']\nExploring Operation: 32+84=116, Resulting Numbers: [52, 116]\nGenerated Node #0,3,3: 76:[52, 116] Operation: 32+84=116\nMoving to Node #0,3,3\nCurrent State: 76:[52, 116], Operations: ['48+36=84', '32+84=116']\nExploring Operation: 116-52=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[32, 52, 84], Operations: ['48+36=84']\nExploring Operation: 84-52=32, Resulting Numbers: [32, 32]\nGenerated Node #0,3,4: 76:[32, 32] Operation: 84-52=32\nMoving to Node #0,3,4\nCurrent State: 76:[32, 32], Operations: ['48+36=84', '84-52=32']\nExploring Operation: 32+32=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 76:[32, 32], Operations: ['48+36=84', '84-52=32']\nExploring Operation: 32/32=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 76:[32, 32], Operations: ['48+36=84', '84-52=32']\nExploring Operation: 32-32=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[32, 52, 84], Operations: ['48+36=84']\nExploring Operation: 52+84=136, Resulting Numbers: [32, 136]\nGenerated Node #0,3,5: 76:[32, 136] Operation: 52+84=136\nMoving to Node #0,3,5\nCurrent State: 76:[32, 136], Operations: ['48+36=84', '52+84=136']\nExploring Operation: 136-32=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 36+52=88, Resulting Numbers: [32, 48, 88]\nGenerated Node #0,4: 76:[32, 48, 88] Operation: 36+52=88\nMoving to Node #0,4\nCurrent State: 76:[32, 48, 88], Operations: ['36+52=88']\nExploring Operation: 32+48=80, Resulting Numbers: [88, 80]\nGenerated Node #0,4,0: 76:[88, 80] Operation: 32+48=80\nMoving to Node #0,4,0\nCurrent State: 76:[88, 80], Operations: ['36+52=88', '32+48=80']\nExploring Operation: 88-80=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[32, 48, 88], Operations: ['36+52=88']\nExploring Operation: 88-32=56, Resulting Numbers: [48, 56]\nGenerated Node #0,4,1: 76:[48, 56] Operation: 88-32=56\nMoving to Node #0,4,1\nCurrent State: 76:[48, 56], Operations: ['36+52=88', '88-32=56']\nExploring Operation: 48+56=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 76:[48, 56], Operations: ['36+52=88', '88-32=56']\nExploring Operation: 56-48=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[32, 48, 88], Operations: ['36+52=88']\nExploring Operation: 48-32=16, Resulting Numbers: [88, 16]\nGenerated Node #0,4,2: 76:[88, 16] Operation: 48-32=16\nMoving to Node #0,4,2\nCurrent State: 76:[88, 16], Operations: ['36+52=88', '48-32=16']\nExploring Operation: 88-16=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 76:[88, 16], Operations: ['36+52=88', '48-32=16']\nExploring Operation: 88+16=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[32, 48, 88], Operations: ['36+52=88']\nExploring Operation: 32+88=120, Resulting Numbers: [48, 120]\nGenerated Node #0,4,3: 76:[48, 120] Operation: 32+88=120\nMoving to Node #0,4,3\nCurrent State: 76:[48, 120], Operations: ['36+52=88', '32+88=120']\nExploring Operation: 120-48=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[32, 48, 88], Operations: ['36+52=88']\nExploring Operation: 88-48=40, Resulting Numbers: [32, 40]\nGenerated Node #0,4,4: 76:[32, 40] Operation: 88-48=40\nMoving to Node #0,4,4\nCurrent State: 76:[32, 40], Operations: ['36+52=88', '88-48=40']\nExploring Operation: 32+40=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 76:[32, 40], Operations: ['36+52=88', '88-48=40']\nExploring Operation: 40-32=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[32, 48, 88], Operations: ['36+52=88']\nExploring Operation: 48+88=136, Resulting Numbers: [32, 136]\nGenerated Node #0,4,5: 76:[32, 136] Operation: 48+88=136\nMoving to Node #0,4,5\nCurrent State: 76:[32, 136], Operations: ['36+52=88', '48+88=136']\nExploring Operation: 136-32=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 48+52=100, Resulting Numbers: [32, 36, 100]\nGenerated Node #0,5: 76:[32, 36, 100] Operation: 48+52=100\nMoving to Node #0,5\nCurrent State: 76:[32, 36, 100], Operations: ['48+52=100']\nExploring Operation: 32+36=68, Resulting Numbers: [100, 68]\nGenerated Node #0,5,0: 76:[100, 68] Operation: 32+36=68\nMoving to Node #0,5,0\nCurrent State: 76:[100, 68], Operations: ['48+52=100', '32+36=68']\nExploring Operation: 100-68=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[32, 36, 100], Operations: ['48+52=100']\nExploring Operation: 100-32=68, Resulting Numbers: [36, 68]\nGenerated Node #0,5,1: 76:[36, 68] Operation: 100-32=68\nMoving to Node #0,5,1\nCurrent State: 76:[36, 68], Operations: ['48+52=100', '100-32=68']\nExploring Operation: 36+68=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 76:[36, 68], Operations: ['48+52=100', '100-32=68']\nExploring Operation: 68-36=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[32, 36, 100], Operations: ['48+52=100']\nExploring Operation: 100-36=64, Resulting Numbers: [32, 64]\nGenerated Node #0,5,2: 76:[32, 64] Operation: 100-36=64\nMoving to Node #0,5,2\nCurrent State: 76:[32, 64], Operations: ['48+52=100', '100-36=64']\nExploring Operation: 32+64=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 76:[32, 64], Operations: ['48+52=100', '100-36=64']\nExploring Operation: 64-32=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 76:[32, 64], Operations: ['48+52=100', '100-36=64']\nExploring Operation: 64/32=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[32, 36, 100], Operations: ['48+52=100']\nExploring Operation: 36-32=4, Resulting Numbers: [100, 4]\nGenerated Node #0,5,3: 76:[100, 4] Operation: 36-32=4\nMoving to Node #0,5,3\nCurrent State: 76:[100, 4], Operations: ['48+52=100', '36-32=4']\nExploring Operation: 100-4=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 76:[100, 4], Operations: ['48+52=100', '36-32=4']\nExploring Operation: 100+4=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 76:[100, 4], Operations: ['48+52=100', '36-32=4']\nExploring Operation: 100/4=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[32, 36, 100], Operations: ['48+52=100']\nExploring Operation: 32+100=132, Resulting Numbers: [36, 132]\nGenerated Node #0,5,4: 76:[36, 132] Operation: 32+100=132\nMoving to Node #0,5,4\nCurrent State: 76:[36, 132], Operations: ['48+52=100', '32+100=132']\nExploring Operation: 132-36=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[32, 36, 100], Operations: ['48+52=100']\nExploring Operation: 36+100=136, Resulting Numbers: [32, 136]\nGenerated Node #0,5,5: 76:[32, 136] Operation: 36+100=136\nMoving to Node #0,5,5\nCurrent State: 76:[32, 136], Operations: ['48+52=100', '36+100=136']\nExploring Operation: 136-32=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 48-32=16, Resulting Numbers: [36, 52, 16]\nGenerated Node #0,6: 76:[36, 52, 16] Operation: 48-32=16\nMoving to Node #0,6\nCurrent State: 76:[36, 52, 16], Operations: ['48-32=16']\nExploring Operation: 36+16=52, Resulting Numbers: [52, 52]\nGenerated Node #0,6,0: 76:[52, 52] Operation: 36+16=52\nMoving to Node #0,6,0\nCurrent State: 76:[52, 52], Operations: ['48-32=16', '36+16=52']\nExploring Operation: 52+52=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 76:[52, 52], Operations: ['48-32=16', '36+16=52']\nExploring Operation: 52/52=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 76:[52, 52], Operations: ['48-32=16', '36+16=52']\nExploring Operation: 52-52=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[36, 52, 16], Operations: ['48-32=16']\nExploring Operation: 52+16=68, Resulting Numbers: [36, 68]\nGenerated Node #0,6,1: 76:[36, 68] Operation: 52+16=68\nMoving to Node #0,6,1\nCurrent State: 76:[36, 68], Operations: ['48-32=16', '52+16=68']\nExploring Operation: 36+68=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 76:[36, 68], Operations: ['48-32=16', '52+16=68']\nExploring Operation: 68-36=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[36, 52, 16], Operations: ['48-32=16']\nExploring Operation: 36+52=88, Resulting Numbers: [16, 88]\nGenerated Node #0,6,2: 76:[16, 88] Operation: 36+52=88\nMoving to Node #0,6,2\nCurrent State: 76:[16, 88], Operations: ['48-32=16', '36+52=88']\nExploring Operation: 88-16=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 76:[16, 88], Operations: ['48-32=16', '36+52=88']\nExploring Operation: 16+88=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[36, 52, 16], Operations: ['48-32=16']\nExploring Operation: 36-16=20, Resulting Numbers: [52, 20]\nGenerated Node #0,6,3: 76:[52, 20] Operation: 36-16=20\nMoving to Node #0,6,3\nCurrent State: 76:[52, 20], Operations: ['48-32=16', '36-16=20']\nExploring Operation: 52+20=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 76:[52, 20], Operations: ['48-32=16', '36-16=20']\nExploring Operation: 52-20=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[36, 52, 16], Operations: ['48-32=16']\nExploring Operation: 52-16=36, Resulting Numbers: [36, 36]\nGenerated Node #0,6,4: 76:[36, 36] Operation: 52-16=36\nMoving to Node #0,6,4\nCurrent State: 76:[36, 36], Operations: ['48-32=16', '52-16=36']\nExploring Operation: 36+36=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 76:[36, 36], Operations: ['48-32=16', '52-16=36']\nExploring Operation: 36/36=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 76:[36, 36], Operations: ['48-32=16', '52-16=36']\nExploring Operation: 36-36=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[36, 52, 16], Operations: ['48-32=16']\nExploring Operation: 52-36=16, Resulting Numbers: [16, 16]\nGenerated Node #0,6,5: 76:[16, 16] Operation: 52-36=16\nMoving to Node #0,6,5\nCurrent State: 76:[16, 16], Operations: ['48-32=16', '52-36=16']\nExploring Operation: 16+16=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 76:[16, 16], Operations: ['48-32=16', '52-36=16']\nExploring Operation: 16/16=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 76:[16, 16], Operations: ['48-32=16', '52-36=16']\nExploring Operation: 16-16=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 36-32=4, Resulting Numbers: [48, 52, 4]\nGenerated Node #0,7: 76:[48, 52, 4] Operation: 36-32=4\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 48+4=52, Resulting Numbers: [52, 52]\nGenerated Node #0,7,0: 76:[52, 52] Operation: 48+4=52\nMoving to Node #0,7,0\nCurrent State: 76:[52, 52], Operations: ['36-32=4', '48+4=52']\nExploring Operation: 52+52=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 76:[52, 52], Operations: ['36-32=4', '48+4=52']\nExploring Operation: 52/52=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 76:[52, 52], Operations: ['36-32=4', '48+4=52']\nExploring Operation: 52-52=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 52+4=56, Resulting Numbers: [48, 56]\nGenerated Node #0,7,1: 76:[48, 56] Operation: 52+4=56\nMoving to Node #0,7,1\nCurrent State: 76:[48, 56], Operations: ['36-32=4', '52+4=56']\nExploring Operation: 48+56=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 76:[48, 56], Operations: ['36-32=4', '52+4=56']\nExploring Operation: 56-48=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 48-4=44, Resulting Numbers: [52, 44]\nGenerated Node #0,7,2: 76:[52, 44] Operation: 48-4=44\nMoving to Node #0,7,2\nCurrent State: 76:[52, 44], Operations: ['36-32=4', '48-4=44']\nExploring Operation: 52+44=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 76:[52, 44], Operations: ['36-32=4', '48-4=44']\nExploring Operation: 52-44=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 52-4=48, Resulting Numbers: [48, 48]\nGenerated Node #0,7,3: 76:[48, 48] Operation: 52-4=48\nMoving to Node #0,7,3\nCurrent State: 76:[48, 48], Operations: ['36-32=4', '52-4=48']\nExploring Operation: 48+48=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 76:[48, 48], Operations: ['36-32=4', '52-4=48']\nExploring Operation: 48/48=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 76:[48, 48], Operations: ['36-32=4', '52-4=48']\nExploring Operation: 48-48=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 48/4=12, Resulting Numbers: [52, 12]\nGenerated Node #0,7,4: 76:[52, 12] Operation: 48/4=12\nMoving to Node #0,7,4\nCurrent State: 76:[52, 12], Operations: ['36-32=4', '48/4=12']\nExploring Operation: 52+12=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 76:[52, 12], Operations: ['36-32=4', '48/4=12']\nExploring Operation: 52-12=40, Resulting Numbers: [40]\n40,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 52/4=13, Resulting Numbers: [48, 13]\nGenerated Node #0,7,5: 76:[48, 13] Operation: 52/4=13\nMoving to Node #0,7,5\nCurrent State: 76:[48, 13], Operations: ['36-32=4', '52/4=13']\nExploring Operation: 48+13=61, Resulting Numbers: [61]\n61,76 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 76:[48, 13], Operations: ['36-32=4', '52/4=13']\nExploring Operation: 48-13=35, Resulting Numbers: [35]\n35,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 48+52=100, Resulting Numbers: [4, 100]\nGenerated Node #0,7,6: 76:[4, 100] Operation: 48+52=100\nMoving to Node #0,7,6\nCurrent State: 76:[4, 100], Operations: ['36-32=4', '48+52=100']\nExploring Operation: 100-4=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 76:[4, 100], Operations: ['36-32=4', '48+52=100']\nExploring Operation: 4+100=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 76:[4, 100], Operations: ['36-32=4', '48+52=100']\nExploring Operation: 100/4=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 48*4=192, Resulting Numbers: [52, 192]\nGenerated Node #0,7,7: 76:[52, 192] Operation: 48*4=192\nMoving to Node #0,7,7\nCurrent State: 76:[52, 192], Operations: ['36-32=4', '48*4=192']\nExploring Operation: 192-52=140, Resulting Numbers: [140]\n140,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[48, 52, 4], Operations: ['36-32=4']\nExploring Operation: 52-48=4, Resulting Numbers: [4, 4]\nGenerated Node #0,7,8: 76:[4, 4] Operation: 52-48=4\nMoving to Node #0,7,8\nCurrent State: 76:[4, 4], Operations: ['36-32=4', '52-48=4']\nExploring Operation: 4*4=16, Resulting Numbers: [16]\n16,76 unequal: No Solution\nMoving to Node #0,7,8\nCurrent State: 76:[4, 4], Operations: ['36-32=4', '52-48=4']\nExploring Operation: 4+4=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,7,8\nCurrent State: 76:[4, 4], Operations: ['36-32=4', '52-48=4']\nExploring Operation: 4/4=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,7,8\nCurrent State: 76:[4, 4], Operations: ['36-32=4', '52-48=4']\nExploring Operation: 4-4=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 52-32=20, Resulting Numbers: [48, 36, 20]\nGenerated Node #0,8: 76:[48, 36, 20] Operation: 52-32=20\nMoving to Node #0,8\nCurrent State: 76:[48, 36, 20], Operations: ['52-32=20']\nExploring Operation: 48+20=68, Resulting Numbers: [36, 68]\nGenerated Node #0,8,0: 76:[36, 68] Operation: 48+20=68\nMoving to Node #0,8,0\nCurrent State: 76:[36, 68], Operations: ['52-32=20', '48+20=68']\nExploring Operation: 36+68=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 76:[36, 68], Operations: ['52-32=20', '48+20=68']\nExploring Operation: 68-36=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[48, 36, 20], Operations: ['52-32=20']\nExploring Operation: 36+20=56, Resulting Numbers: [48, 56]\nGenerated Node #0,8,1: 76:[48, 56] Operation: 36+20=56\nMoving to Node #0,8,1\nCurrent State: 76:[48, 56], Operations: ['52-32=20', '36+20=56']\nExploring Operation: 48+56=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 76:[48, 56], Operations: ['52-32=20', '36+20=56']\nExploring Operation: 56-48=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[48, 36, 20], Operations: ['52-32=20']\nExploring Operation: 48+36=84, Resulting Numbers: [20, 84]\nGenerated Node #0,8,2: 76:[20, 84] Operation: 48+36=84\nMoving to Node #0,8,2\nCurrent State: 76:[20, 84], Operations: ['52-32=20', '48+36=84']\nExploring Operation: 84-20=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 76:[20, 84], Operations: ['52-32=20', '48+36=84']\nExploring Operation: 20+84=104, Resulting Numbers: [104]\n104,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[48, 36, 20], Operations: ['52-32=20']\nExploring Operation: 48-20=28, Resulting Numbers: [36, 28]\nGenerated Node #0,8,3: 76:[36, 28] Operation: 48-20=28\nMoving to Node #0,8,3\nCurrent State: 76:[36, 28], Operations: ['52-32=20', '48-20=28']\nExploring Operation: 36+28=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 76:[36, 28], Operations: ['52-32=20', '48-20=28']\nExploring Operation: 36-28=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[48, 36, 20], Operations: ['52-32=20']\nExploring Operation: 36-20=16, Resulting Numbers: [48, 16]\nGenerated Node #0,8,4: 76:[48, 16] Operation: 36-20=16\nMoving to Node #0,8,4\nCurrent State: 76:[48, 16], Operations: ['52-32=20', '36-20=16']\nExploring Operation: 48+16=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 76:[48, 16], Operations: ['52-32=20', '36-20=16']\nExploring Operation: 48-16=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 76:[48, 16], Operations: ['52-32=20', '36-20=16']\nExploring Operation: 48/16=3, Resulting Numbers: [3]\n3,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[48, 36, 20], Operations: ['52-32=20']\nExploring Operation: 48-36=12, Resulting Numbers: [20, 12]\nGenerated Node #0,8,5: 76:[20, 12] Operation: 48-36=12\nMoving to Node #0,8,5\nCurrent State: 76:[20, 12], Operations: ['52-32=20', '48-36=12']\nExploring Operation: 20+12=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 76:[20, 12], Operations: ['52-32=20', '48-36=12']\nExploring Operation: 20-12=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 48-36=12, Resulting Numbers: [32, 52, 12]\nGenerated Node #0,9: 76:[32, 52, 12] Operation: 48-36=12\nMoving to Node #0,9\nCurrent State: 76:[32, 52, 12], Operations: ['48-36=12']\nExploring Operation: 32+12=44, Resulting Numbers: [52, 44]\nGenerated Node #0,9,0: 76:[52, 44] Operation: 32+12=44\nMoving to Node #0,9,0\nCurrent State: 76:[52, 44], Operations: ['48-36=12', '32+12=44']\nExploring Operation: 52+44=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 76:[52, 44], Operations: ['48-36=12', '32+12=44']\nExploring Operation: 52-44=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[32, 52, 12], Operations: ['48-36=12']\nExploring Operation: 52+12=64, Resulting Numbers: [32, 64]\nGenerated Node #0,9,1: 76:[32, 64] Operation: 52+12=64\nMoving to Node #0,9,1\nCurrent State: 76:[32, 64], Operations: ['48-36=12', '52+12=64']\nExploring Operation: 32+64=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 76:[32, 64], Operations: ['48-36=12', '52+12=64']\nExploring Operation: 64-32=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 76:[32, 64], Operations: ['48-36=12', '52+12=64']\nExploring Operation: 64/32=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[32, 52, 12], Operations: ['48-36=12']\nExploring Operation: 32+52=84, Resulting Numbers: [12, 84]\nGenerated Node #0,9,2: 76:[12, 84] Operation: 32+52=84\nMoving to Node #0,9,2\nCurrent State: 76:[12, 84], Operations: ['48-36=12', '32+52=84']\nExploring Operation: 84-12=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,9,2\nCurrent State: 76:[12, 84], Operations: ['48-36=12', '32+52=84']\nExploring Operation: 12+84=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,9,2\nCurrent State: 76:[12, 84], Operations: ['48-36=12', '32+52=84']\nExploring Operation: 84/12=7, Resulting Numbers: [7]\n7,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[32, 52, 12], Operations: ['48-36=12']\nExploring Operation: 32-12=20, Resulting Numbers: [52, 20]\nGenerated Node #0,9,3: 76:[52, 20] Operation: 32-12=20\nMoving to Node #0,9,3\nCurrent State: 76:[52, 20], Operations: ['48-36=12', '32-12=20']\nExploring Operation: 52+20=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 76:[52, 20], Operations: ['48-36=12', '32-12=20']\nExploring Operation: 52-20=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[32, 52, 12], Operations: ['48-36=12']\nExploring Operation: 52-12=40, Resulting Numbers: [32, 40]\nGenerated Node #0,9,4: 76:[32, 40] Operation: 52-12=40\nMoving to Node #0,9,4\nCurrent State: 76:[32, 40], Operations: ['48-36=12', '52-12=40']\nExploring Operation: 32+40=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 76:[32, 40], Operations: ['48-36=12', '52-12=40']\nExploring Operation: 40-32=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[32, 52, 12], Operations: ['48-36=12']\nExploring Operation: 52-32=20, Resulting Numbers: [12, 20]\nGenerated Node #0,9,5: 76:[12, 20] Operation: 52-32=20\nMoving to Node #0,9,5\nCurrent State: 76:[12, 20], Operations: ['48-36=12', '52-32=20']\nExploring Operation: 12+20=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,9,5\nCurrent State: 76:[12, 20], Operations: ['48-36=12', '52-32=20']\nExploring Operation: 20-12=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 52-36=16, Resulting Numbers: [32, 48, 16]\nGenerated Node #0,10: 76:[32, 48, 16] Operation: 52-36=16\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 32+16=48, Resulting Numbers: [48, 48]\nGenerated Node #0,10,0: 76:[48, 48] Operation: 32+16=48\nMoving to Node #0,10,0\nCurrent State: 76:[48, 48], Operations: ['52-36=16', '32+16=48']\nExploring Operation: 48+48=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 76:[48, 48], Operations: ['52-36=16', '32+16=48']\nExploring Operation: 48/48=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 76:[48, 48], Operations: ['52-36=16', '32+16=48']\nExploring Operation: 48-48=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 48+16=64, Resulting Numbers: [32, 64]\nGenerated Node #0,10,1: 76:[32, 64] Operation: 48+16=64\nMoving to Node #0,10,1\nCurrent State: 76:[32, 64], Operations: ['52-36=16', '48+16=64']\nExploring Operation: 32+64=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,10,1\nCurrent State: 76:[32, 64], Operations: ['52-36=16', '48+16=64']\nExploring Operation: 64-32=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,10,1\nCurrent State: 76:[32, 64], Operations: ['52-36=16', '48+16=64']\nExploring Operation: 64/32=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 32+48=80, Resulting Numbers: [16, 80]\nGenerated Node #0,10,2: 76:[16, 80] Operation: 32+48=80\nMoving to Node #0,10,2\nCurrent State: 76:[16, 80], Operations: ['52-36=16', '32+48=80']\nExploring Operation: 80-16=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,10,2\nCurrent State: 76:[16, 80], Operations: ['52-36=16', '32+48=80']\nExploring Operation: 16+80=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,10,2\nCurrent State: 76:[16, 80], Operations: ['52-36=16', '32+48=80']\nExploring Operation: 80/16=5, Resulting Numbers: [5]\n5,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 32-16=16, Resulting Numbers: [48, 16]\nGenerated Node #0,10,3: 76:[48, 16] Operation: 32-16=16\nMoving to Node #0,10,3\nCurrent State: 76:[48, 16], Operations: ['52-36=16', '32-16=16']\nExploring Operation: 48+16=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 76:[48, 16], Operations: ['52-36=16', '32-16=16']\nExploring Operation: 48-16=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 76:[48, 16], Operations: ['52-36=16', '32-16=16']\nExploring Operation: 48/16=3, Resulting Numbers: [3]\n3,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 48-16=32, Resulting Numbers: [32, 32]\nGenerated Node #0,10,4: 76:[32, 32] Operation: 48-16=32\nMoving to Node #0,10,4\nCurrent State: 76:[32, 32], Operations: ['52-36=16', '48-16=32']\nExploring Operation: 32+32=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,10,4\nCurrent State: 76:[32, 32], Operations: ['52-36=16', '48-16=32']\nExploring Operation: 32/32=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,10,4\nCurrent State: 76:[32, 32], Operations: ['52-36=16', '48-16=32']\nExploring Operation: 32-32=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 32/16=2, Resulting Numbers: [48, 2]\nGenerated Node #0,10,5: 76:[48, 2] Operation: 32/16=2\nMoving to Node #0,10,5\nCurrent State: 76:[48, 2], Operations: ['52-36=16', '32/16=2']\nExploring Operation: 48*2=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,10,5\nCurrent State: 76:[48, 2], Operations: ['52-36=16', '32/16=2']\nExploring Operation: 48+2=50, Resulting Numbers: [50]\n50,76 unequal: No Solution\nMoving to Node #0,10,5\nCurrent State: 76:[48, 2], Operations: ['52-36=16', '32/16=2']\nExploring Operation: 48-2=46, Resulting Numbers: [46]\n46,76 unequal: No Solution\nMoving to Node #0,10,5\nCurrent State: 76:[48, 2], Operations: ['52-36=16', '32/16=2']\nExploring Operation: 48/2=24, Resulting Numbers: [24]\n24,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 48/16=3, Resulting Numbers: [32, 3]\nGenerated Node #0,10,6: 76:[32, 3] Operation: 48/16=3\nMoving to Node #0,10,6\nCurrent State: 76:[32, 3], Operations: ['52-36=16', '48/16=3']\nExploring Operation: 32*3=96, Resulting Numbers: [96]\n96,76 unequal: No Solution\nMoving to Node #0,10,6\nCurrent State: 76:[32, 3], Operations: ['52-36=16', '48/16=3']\nExploring Operation: 32+3=35, Resulting Numbers: [35]\n35,76 unequal: No Solution\nMoving to Node #0,10,6\nCurrent State: 76:[32, 3], Operations: ['52-36=16', '48/16=3']\nExploring Operation: 32-3=29, Resulting Numbers: [29]\n29,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[32, 48, 16], Operations: ['52-36=16']\nExploring Operation: 48-32=16, Resulting Numbers: [16, 16]\nGenerated Node #0,10,7: 76:[16, 16] Operation: 48-32=16\nMoving to Node #0,10,7\nCurrent State: 76:[16, 16], Operations: ['52-36=16', '48-32=16']\nExploring Operation: 16+16=32, Resulting Numbers: [32]\n32,76 unequal: No Solution\nMoving to Node #0,10,7\nCurrent State: 76:[16, 16], Operations: ['52-36=16', '48-32=16']\nExploring Operation: 16/16=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,10,7\nCurrent State: 76:[16, 16], Operations: ['52-36=16', '48-32=16']\nExploring Operation: 16-16=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[32, 48, 36, 52], Operations: []\nExploring Operation: 52-48=4, Resulting Numbers: [32, 36, 4]\nGenerated Node #0,11: 76:[32, 36, 4] Operation: 52-48=4\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 32+36=68, Resulting Numbers: [4, 68]\nGenerated Node #0,11,0: 76:[4, 68] Operation: 32+36=68\nMoving to Node #0,11,0\nCurrent State: 76:[4, 68], Operations: ['52-48=4', '32+36=68']\nExploring Operation: 4+68=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 76:[4, 68], Operations: ['52-48=4', '32+36=68']\nExploring Operation: 68-4=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 76:[4, 68], Operations: ['52-48=4', '32+36=68']\nExploring Operation: 68/4=17, Resulting Numbers: [17]\n17,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 32+4=36, Resulting Numbers: [36, 36]\nGenerated Node #0,11,1: 76:[36, 36] Operation: 32+4=36\nMoving to Node #0,11,1\nCurrent State: 76:[36, 36], Operations: ['52-48=4', '32+4=36']\nExploring Operation: 36+36=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,11,1\nCurrent State: 76:[36, 36], Operations: ['52-48=4', '32+4=36']\nExploring Operation: 36/36=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,11,1\nCurrent State: 76:[36, 36], Operations: ['52-48=4', '32+4=36']\nExploring Operation: 36-36=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 36+4=40, Resulting Numbers: [32, 40]\nGenerated Node #0,11,2: 76:[32, 40] Operation: 36+4=40\nMoving to Node #0,11,2\nCurrent State: 76:[32, 40], Operations: ['52-48=4', '36+4=40']\nExploring Operation: 32+40=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,11,2\nCurrent State: 76:[32, 40], Operations: ['52-48=4', '36+4=40']\nExploring Operation: 40-32=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 32-4=28, Resulting Numbers: [36, 28]\nGenerated Node #0,11,3: 76:[36, 28] Operation: 32-4=28\nMoving to Node #0,11,3\nCurrent State: 76:[36, 28], Operations: ['52-48=4', '32-4=28']\nExploring Operation: 36+28=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,11,3\nCurrent State: 76:[36, 28], Operations: ['52-48=4', '32-4=28']\nExploring Operation: 36-28=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 36-4=32, Resulting Numbers: [32, 32]\nGenerated Node #0,11,4: 76:[32, 32] Operation: 36-4=32\nMoving to Node #0,11,4\nCurrent State: 76:[32, 32], Operations: ['52-48=4', '36-4=32']\nExploring Operation: 32+32=64, Resulting Numbers: [64]\n64,76 unequal: No Solution\nMoving to Node #0,11,4\nCurrent State: 76:[32, 32], Operations: ['52-48=4', '36-4=32']\nExploring Operation: 32/32=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,11,4\nCurrent State: 76:[32, 32], Operations: ['52-48=4', '36-4=32']\nExploring Operation: 32-32=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 32*4=128, Resulting Numbers: [36, 128]\nGenerated Node #0,11,5: 76:[36, 128] Operation: 32*4=128\nMoving to Node #0,11,5\nCurrent State: 76:[36, 128], Operations: ['52-48=4', '32*4=128']\nExploring Operation: 128-36=92, Resulting Numbers: [92]\n92,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 32/4=8, Resulting Numbers: [36, 8]\nGenerated Node #0,11,6: 76:[36, 8] Operation: 32/4=8\nMoving to Node #0,11,6\nCurrent State: 76:[36, 8], Operations: ['52-48=4', '32/4=8']\nExploring Operation: 36+8=44, Resulting Numbers: [44]\n44,76 unequal: No Solution\nMoving to Node #0,11,6\nCurrent State: 76:[36, 8], Operations: ['52-48=4', '32/4=8']\nExploring Operation: 36-8=28, Resulting Numbers: [28]\n28,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 36/4=9, Resulting Numbers: [32, 9]\nGenerated Node #0,11,7: 76:[32, 9] Operation: 36/4=9\nMoving to Node #0,11,7\nCurrent State: 76:[32, 9], Operations: ['52-48=4', '36/4=9']\nExploring Operation: 32+9=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,11,7\nCurrent State: 76:[32, 9], Operations: ['52-48=4', '36/4=9']\nExploring Operation: 32-9=23, Resulting Numbers: [23]\n23,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 36*4=144, Resulting Numbers: [32, 144]\nGenerated Node #0,11,8: 76:[32, 144] Operation: 36*4=144\nMoving to Node #0,11,8\nCurrent State: 76:[32, 144], Operations: ['52-48=4', '36*4=144']\nExploring Operation: 144-32=112, Resulting Numbers: [112]\n112,76 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 76:[32, 36, 4], Operations: ['52-48=4']\nExploring Operation: 36-32=4, Resulting Numbers: [4, 4]\nGenerated Node #0,11,9: 76:[4, 4] Operation: 36-32=4\nMoving to Node #0,11,9\nCurrent State: 76:[4, 4], Operations: ['52-48=4', '36-32=4']\nExploring Operation: 4*4=16, Resulting Numbers: [16]\n16,76 unequal: No Solution\nMoving to Node #0,11,9\nCurrent State: 76:[4, 4], Operations: ['52-48=4', '36-32=4']\nExploring Operation: 4+4=8, Resulting Numbers: [8]\n8,76 unequal: No Solution\nMoving to Node #0,11,9\nCurrent State: 76:[4, 4], Operations: ['52-48=4', '36-32=4']\nExploring Operation: 4/4=1, Resulting Numbers: [1]\n1,76 unequal: No Solution\nMoving to Node #0,11,9\nCurrent State: 76:[4, 4], Operations: ['52-48=4', '36-32=4']\nExploring Operation: 4-4=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\n", "role": "assistant" } ]
[ 3, 43, 14, 82 ]
50
[ "3+43=46", "14+82=96", "96-46=50" ]
Current State: 50:[3, 43, 14, 82], Operations: [] Exploring Operation: 82-43=39, Resulting Numbers: [3, 14, 39] Generated Node #0,0: 50:[3, 14, 39] Operation: 82-43=39 Moving to Node #0,0 Current State: 50:[3, 14, 39], Operations: ['82-43=39'] Exploring Operation: 39-14=25, Resulting Numbers: [3, 25] Generated Node #0,0,0: 50:[3, 25] Operation: 39-14=25 Moving to Node #0,0,0 Current State: 50:[3, 25], Operations: ['82-43=39', '39-14=25'] Exploring Operation: 3+25=28, Resulting Numbers: [28] 28,50 unequal: No Solution Moving to Node #0,0,0 Current State: 50:[3, 25], Operations: ['82-43=39', '39-14=25'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,50 unequal: No Solution Moving to Node #0,0,0 Current State: 50:[3, 25], Operations: ['82-43=39', '39-14=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,50 unequal: No Solution Moving to Node #0,0 Current State: 50:[3, 14, 39], Operations: ['82-43=39'] Exploring Operation: 14+39=53, Resulting Numbers: [3, 53] Generated Node #0,0,1: 50:[3, 53] Operation: 14+39=53 Moving to Node #0,0,1 Current State: 50:[3, 53], Operations: ['82-43=39', '14+39=53'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
0.993056
dfs
Current State: 50:[3, 43, 14, 82], Operations: [] Exploring Operation: 3+43=46, Resulting Numbers: [14, 82, 46] Generated Node #2: [14, 82, 46] from Operation: 3+43=46 Current State: 50:[14, 82, 46], Operations: ['3+43=46'] Exploring Operation: 14+82=96, Resulting Numbers: [46, 96] Generated Node #3: [46, 96] from Operation: 14+82=96 Current State: 50:[46, 96], Operations: ['3+43=46', '14+82=96'] Exploring Operation: 96-46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
mult_heuristic
[ { "content": "Make 50 with the numbers [3, 43, 14, 82] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 50:[3, 43, 14, 82], Operations: []\nExploring Operation: 82-43=39, Resulting Numbers: [3, 14, 39]\nGenerated Node #0,0: 50:[3, 14, 39] Operation: 82-43=39\nMoving to Node #0,0\nCurrent State: 50:[3, 14, 39], Operations: ['82-43=39']\nExploring Operation: 39-14=25, Resulting Numbers: [3, 25]\nGenerated Node #0,0,0: 50:[3, 25] Operation: 39-14=25\nMoving to Node #0,0,0\nCurrent State: 50:[3, 25], Operations: ['82-43=39', '39-14=25']\nExploring Operation: 3+25=28, Resulting Numbers: [28]\n28,50 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 50:[3, 25], Operations: ['82-43=39', '39-14=25']\nExploring Operation: 25-3=22, Resulting Numbers: [22]\n22,50 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 50:[3, 25], Operations: ['82-43=39', '39-14=25']\nExploring Operation: 3*25=75, Resulting Numbers: [75]\n75,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[3, 14, 39], Operations: ['82-43=39']\nExploring Operation: 14+39=53, Resulting Numbers: [3, 53]\nGenerated Node #0,0,1: 50:[3, 53] Operation: 14+39=53\nMoving to Node #0,0,1\nCurrent State: 50:[3, 53], Operations: ['82-43=39', '14+39=53']\nExploring Operation: 53-3=50, Resulting Numbers: [50]\n50,50 equal: Goal Reached\n", "role": "assistant" } ]
[ 20, 16, 20, 65 ]
32
[ "16*65=1040", "1040/20=52", "52-20=32" ]
Current State: 32:[20, 16, 20, 65], Operations: [] Exploring Operation: 65-20=45, Resulting Numbers: [16, 20, 45] Generated Node #0,0: 32:[16, 20, 45] Operation: 65-20=45 Moving to Node #0,0 Current State: 32:[16, 20, 45], Operations: ['65-20=45'] Exploring Operation: 45-16=29, Resulting Numbers: [20, 29] Generated Node #0,0,0: 32:[20, 29] Operation: 45-16=29 Moving to Node #0,0,0 Current State: 32:[20, 29], Operations: ['65-20=45', '45-16=29'] Exploring Operation: 29-20=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0,0,0 Current State: 32:[20, 29], Operations: ['65-20=45', '45-16=29'] Exploring Operation: 20+29=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,0 Current State: 32:[16, 20, 45], Operations: ['65-20=45'] Exploring Operation: 45-20=25, Resulting Numbers: [16, 25] Generated Node #0,0,1: 32:[16, 25] Operation: 45-20=25 Moving to Node #0,0,1 Current State: 32:[16, 25], Operations: ['65-20=45', '45-20=25'] Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0,0,1 Current State: 32:[16, 25], Operations: ['65-20=45', '45-20=25'] Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,32 unequal: No Solution Moving to Node #0,0 Current State: 32:[16, 20, 45], Operations: ['65-20=45'] Exploring Operation: 20-16=4, Resulting Numbers: [45, 4] Generated Node #0,0,2: 32:[45, 4] Operation: 20-16=4 Moving to Node #0,0,2 Current State: 32:[45, 4], Operations: ['65-20=45', '20-16=4'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,32 unequal: No Solution Moving to Node #0,0,2 Current State: 32:[45, 4], Operations: ['65-20=45', '20-16=4'] Exploring Operation: 45+4=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,0 Current State: 32:[16, 20, 45], Operations: ['65-20=45'] Exploring Operation: 16+20=36, Resulting Numbers: [45, 36] Generated Node #0,0,3: 32:[45, 36] Operation: 16+20=36 Moving to Node #0,0,3 Current State: 32:[45, 36], Operations: ['65-20=45', '16+20=36'] Exploring Operation: 45-36=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0 Current State: 32:[20, 16, 20, 65], Operations: [] Exploring Operation: 65-20=45, Resulting Numbers: [20, 16, 45] Generated Node #0,1: 32:[20, 16, 45] Operation: 65-20=45 Moving to Node #0,1 Current State: 32:[20, 16, 45], Operations: ['65-20=45'] Exploring Operation: 45-20=25, Resulting Numbers: [16, 25] Generated Node #0,1,0: 32:[16, 25] Operation: 45-20=25 Moving to Node #0,1,0 Current State: 32:[16, 25], Operations: ['65-20=45', '45-20=25'] Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0,1,0 Current State: 32:[16, 25], Operations: ['65-20=45', '45-20=25'] Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,32 unequal: No Solution Moving to Node #0,1 Current State: 32:[20, 16, 45], Operations: ['65-20=45'] Exploring Operation: 45-16=29, Resulting Numbers: [20, 29] Generated Node #0,1,1: 32:[20, 29] Operation: 45-16=29 Moving to Node #0,1,1 Current State: 32:[20, 29], Operations: ['65-20=45', '45-16=29'] Exploring Operation: 29-20=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0,1,1 Current State: 32:[20, 29], Operations: ['65-20=45', '45-16=29'] Exploring Operation: 20+29=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,1 Current State: 32:[20, 16, 45], Operations: ['65-20=45'] Exploring Operation: 20-16=4, Resulting Numbers: [45, 4] Generated Node #0,1,2: 32:[45, 4] Operation: 20-16=4 Moving to Node #0,1,2 Current State: 32:[45, 4], Operations: ['65-20=45', '20-16=4'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,32 unequal: No Solution Moving to Node #0,1,2 Current State: 32:[45, 4], Operations: ['65-20=45', '20-16=4'] Exploring Operation: 45+4=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,1 Current State: 32:[20, 16, 45], Operations: ['65-20=45'] Exploring Operation: 20+16=36, Resulting Numbers: [45, 36] Generated Node #0,1,3: 32:[45, 36] Operation: 20+16=36 Moving to Node #0,1,3 Current State: 32:[45, 36], Operations: ['65-20=45', '20+16=36'] Exploring Operation: 45-36=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0 Current State: 32:[20, 16, 20, 65], Operations: [] Exploring Operation: 65-16=49, Resulting Numbers: [20, 20, 49] Generated Node #0,2: 32:[20, 20, 49] Operation: 65-16=49 Moving to Node #0,2 Current State: 32:[20, 20, 49], Operations: ['65-16=49'] Exploring Operation: 49-20=29, Resulting Numbers: [20, 29] Generated Node #0,2,0: 32:[20, 29] Operation: 49-20=29 Moving to Node #0,2,0 Current State: 32:[20, 29], Operations: ['65-16=49', '49-20=29'] Exploring Operation: 29-20=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0,2,0 Current State: 32:[20, 29], Operations: ['65-16=49', '49-20=29'] Exploring Operation: 20+29=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,2 Current State: 32:[20, 20, 49], Operations: ['65-16=49'] Exploring Operation: 49-20=29, Resulting Numbers: [20, 29] Generated Node #0,2,1: 32:[20, 29] Operation: 49-20=29 Moving to Node #0,2,1 Current State: 32:[20, 29], Operations: ['65-16=49', '49-20=29'] Exploring Operation: 29-20=9, Resulting Numbers: [9] 9,32 unequal: No Solution Moving to Node #0,2,1 Current State: 32:[20, 29], Operations: ['65-16=49', '49-20=29'] Exploring Operation: 20+29=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,2 Current State: 32:[20, 20, 49], Operations: ['65-16=49'] Exploring Operation: 20/20=1, Resulting Numbers: [49, 1] Generated Node #0,2,2: 32:[49, 1] Operation: 20/20=1 Moving to Node #0,2,2 Current State: 32:[49, 1], Operations: ['65-16=49', '20/20=1'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,32 unequal: No Solution Moving to Node #0,2,2 Current State: 32:[49, 1], Operations: ['65-16=49', '20/20=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,2,2 Current State: 32:[49, 1], Operations: ['65-16=49', '20/20=1'] Exploring Operation: 49/1=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,2,2 Current State: 32:[49, 1], Operations: ['65-16=49', '20/20=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,32 unequal: No Solution Moving to Node #0,2 Current State: 32:[20, 20, 49], Operations: ['65-16=49'] Exploring Operation: 20-20=0, Resulting Numbers: [49, 0] Generated Node #0,2,3: 32:[49, 0] Operation: 20-20=0 Moving to Node #0,2,3 Current State: 32:[49, 0], Operations: ['65-16=49', '20-20=0'] Exploring Operation: 49*0=0, Resulting Numbers: [0] 0,32 unequal: No Solution Moving to Node #0,2,3 Current State: 32:[49, 0], Operations: ['65-16=49', '20-20=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,2,3 Current State: 32:[49, 0], Operations: ['65-16=49', '20-20=0'] Exploring Operation: 49-0=49, Resulting Numbers: [49] 49,32 unequal: No Solution Moving to Node #0,2 Current State: 32:[20, 20, 49], Operations: ['65-16=49'] Exploring Operation: 20+20=40, Resulting Numbers: [49, 40] Generated Node #0,2,4: 32:[49, 40] Operation: 20+20=40 Moving to Node #0,2,4 Current State: 32:[49, 40], Operations: ['65-16=49', '20+20=40'] Exploring Operation: 49-40=9, Resulting Numbers: [9] 9,32 unequal: No Solution
0
dfs
Current State: 32:[20, 16, 20, 65], Operations: [] Exploring Operation: 16*65=1040, Resulting Numbers: [20, 20, 1040] Generated Node #2: [20, 20, 1040] from Operation: 16*65=1040 Current State: 32:[20, 20, 1040], Operations: ['16*65=1040'] Exploring Operation: 1040/20=52, Resulting Numbers: [52] 52,32 equal: Goal Reached Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
mult_heuristic
[ { "content": "Make 32 with the numbers [20, 16, 20, 65] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 32:[20, 16, 20, 65], Operations: []\nExploring Operation: 65-20=45, Resulting Numbers: [16, 20, 45]\nGenerated Node #0,0: 32:[16, 20, 45] Operation: 65-20=45\nMoving to Node #0,0\nCurrent State: 32:[16, 20, 45], Operations: ['65-20=45']\nExploring Operation: 45-16=29, Resulting Numbers: [20, 29]\nGenerated Node #0,0,0: 32:[20, 29] Operation: 45-16=29\nMoving to Node #0,0,0\nCurrent State: 32:[20, 29], Operations: ['65-20=45', '45-16=29']\nExploring Operation: 29-20=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 32:[20, 29], Operations: ['65-20=45', '45-16=29']\nExploring Operation: 20+29=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 32:[16, 20, 45], Operations: ['65-20=45']\nExploring Operation: 45-20=25, Resulting Numbers: [16, 25]\nGenerated Node #0,0,1: 32:[16, 25] Operation: 45-20=25\nMoving to Node #0,0,1\nCurrent State: 32:[16, 25], Operations: ['65-20=45', '45-20=25']\nExploring Operation: 25-16=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 32:[16, 25], Operations: ['65-20=45', '45-20=25']\nExploring Operation: 16+25=41, Resulting Numbers: [41]\n41,32 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 32:[16, 20, 45], Operations: ['65-20=45']\nExploring Operation: 20-16=4, Resulting Numbers: [45, 4]\nGenerated Node #0,0,2: 32:[45, 4] Operation: 20-16=4\nMoving to Node #0,0,2\nCurrent State: 32:[45, 4], Operations: ['65-20=45', '20-16=4']\nExploring Operation: 45-4=41, Resulting Numbers: [41]\n41,32 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 32:[45, 4], Operations: ['65-20=45', '20-16=4']\nExploring Operation: 45+4=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 32:[16, 20, 45], Operations: ['65-20=45']\nExploring Operation: 16+20=36, Resulting Numbers: [45, 36]\nGenerated Node #0,0,3: 32:[45, 36] Operation: 16+20=36\nMoving to Node #0,0,3\nCurrent State: 32:[45, 36], Operations: ['65-20=45', '16+20=36']\nExploring Operation: 45-36=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0\nCurrent State: 32:[20, 16, 20, 65], Operations: []\nExploring Operation: 65-20=45, Resulting Numbers: [20, 16, 45]\nGenerated Node #0,1: 32:[20, 16, 45] Operation: 65-20=45\nMoving to Node #0,1\nCurrent State: 32:[20, 16, 45], Operations: ['65-20=45']\nExploring Operation: 45-20=25, Resulting Numbers: [16, 25]\nGenerated Node #0,1,0: 32:[16, 25] Operation: 45-20=25\nMoving to Node #0,1,0\nCurrent State: 32:[16, 25], Operations: ['65-20=45', '45-20=25']\nExploring Operation: 25-16=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 32:[16, 25], Operations: ['65-20=45', '45-20=25']\nExploring Operation: 16+25=41, Resulting Numbers: [41]\n41,32 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 32:[20, 16, 45], Operations: ['65-20=45']\nExploring Operation: 45-16=29, Resulting Numbers: [20, 29]\nGenerated Node #0,1,1: 32:[20, 29] Operation: 45-16=29\nMoving to Node #0,1,1\nCurrent State: 32:[20, 29], Operations: ['65-20=45', '45-16=29']\nExploring Operation: 29-20=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 32:[20, 29], Operations: ['65-20=45', '45-16=29']\nExploring Operation: 20+29=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 32:[20, 16, 45], Operations: ['65-20=45']\nExploring Operation: 20-16=4, Resulting Numbers: [45, 4]\nGenerated Node #0,1,2: 32:[45, 4] Operation: 20-16=4\nMoving to Node #0,1,2\nCurrent State: 32:[45, 4], Operations: ['65-20=45', '20-16=4']\nExploring Operation: 45-4=41, Resulting Numbers: [41]\n41,32 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 32:[45, 4], Operations: ['65-20=45', '20-16=4']\nExploring Operation: 45+4=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 32:[20, 16, 45], Operations: ['65-20=45']\nExploring Operation: 20+16=36, Resulting Numbers: [45, 36]\nGenerated Node #0,1,3: 32:[45, 36] Operation: 20+16=36\nMoving to Node #0,1,3\nCurrent State: 32:[45, 36], Operations: ['65-20=45', '20+16=36']\nExploring Operation: 45-36=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0\nCurrent State: 32:[20, 16, 20, 65], Operations: []\nExploring Operation: 65-16=49, Resulting Numbers: [20, 20, 49]\nGenerated Node #0,2: 32:[20, 20, 49] Operation: 65-16=49\nMoving to Node #0,2\nCurrent State: 32:[20, 20, 49], Operations: ['65-16=49']\nExploring Operation: 49-20=29, Resulting Numbers: [20, 29]\nGenerated Node #0,2,0: 32:[20, 29] Operation: 49-20=29\nMoving to Node #0,2,0\nCurrent State: 32:[20, 29], Operations: ['65-16=49', '49-20=29']\nExploring Operation: 29-20=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 32:[20, 29], Operations: ['65-16=49', '49-20=29']\nExploring Operation: 20+29=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 32:[20, 20, 49], Operations: ['65-16=49']\nExploring Operation: 49-20=29, Resulting Numbers: [20, 29]\nGenerated Node #0,2,1: 32:[20, 29] Operation: 49-20=29\nMoving to Node #0,2,1\nCurrent State: 32:[20, 29], Operations: ['65-16=49', '49-20=29']\nExploring Operation: 29-20=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 32:[20, 29], Operations: ['65-16=49', '49-20=29']\nExploring Operation: 20+29=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 32:[20, 20, 49], Operations: ['65-16=49']\nExploring Operation: 20/20=1, Resulting Numbers: [49, 1]\nGenerated Node #0,2,2: 32:[49, 1] Operation: 20/20=1\nMoving to Node #0,2,2\nCurrent State: 32:[49, 1], Operations: ['65-16=49', '20/20=1']\nExploring Operation: 49-1=48, Resulting Numbers: [48]\n48,32 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 32:[49, 1], Operations: ['65-16=49', '20/20=1']\nExploring Operation: 49*1=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 32:[49, 1], Operations: ['65-16=49', '20/20=1']\nExploring Operation: 49/1=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 32:[49, 1], Operations: ['65-16=49', '20/20=1']\nExploring Operation: 49+1=50, Resulting Numbers: [50]\n50,32 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 32:[20, 20, 49], Operations: ['65-16=49']\nExploring Operation: 20-20=0, Resulting Numbers: [49, 0]\nGenerated Node #0,2,3: 32:[49, 0] Operation: 20-20=0\nMoving to Node #0,2,3\nCurrent State: 32:[49, 0], Operations: ['65-16=49', '20-20=0']\nExploring Operation: 49*0=0, Resulting Numbers: [0]\n0,32 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 32:[49, 0], Operations: ['65-16=49', '20-20=0']\nExploring Operation: 49+0=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 32:[49, 0], Operations: ['65-16=49', '20-20=0']\nExploring Operation: 49-0=49, Resulting Numbers: [49]\n49,32 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 32:[20, 20, 49], Operations: ['65-16=49']\nExploring Operation: 20+20=40, Resulting Numbers: [49, 40]\nGenerated Node #0,2,4: 32:[49, 40] Operation: 20+20=40\nMoving to Node #0,2,4\nCurrent State: 32:[49, 40], Operations: ['65-16=49', '20+20=40']\nExploring Operation: 49-40=9, Resulting Numbers: [9]\n9,32 unequal: No Solution\n", "role": "assistant" } ]
[ 33, 89, 12, 34 ]
54
[ "33*34=1122", "89*12=1068", "1122-1068=54" ]
Current State: 54:[33, 89, 12, 34], Operations: [] Exploring Operation: 89-34=55, Resulting Numbers: [33, 12, 55] Generated Node #0,0: 54:[33, 12, 55] Operation: 89-34=55 Exploring Operation: 34-33=1, Resulting Numbers: [89, 12, 1] Generated Node #0,1: 54:[89, 12, 1] Operation: 34-33=1 Exploring Operation: 89-33=56, Resulting Numbers: [12, 34, 56] Generated Node #0,2: 54:[12, 34, 56] Operation: 89-33=56 Exploring Operation: 89-12=77, Resulting Numbers: [33, 34, 77] Generated Node #0,3: 54:[33, 34, 77] Operation: 89-12=77 Moving to Node #0,0 Current State: 54:[33, 12, 55], Operations: ['89-34=55'] Exploring Operation: 33+12=45, Resulting Numbers: [55, 45] Generated Node #0,0,0: 54:[55, 45] Operation: 33+12=45 Exploring Operation: 55-33=22, Resulting Numbers: [12, 22] Generated Node #0,0,1: 54:[12, 22] Operation: 55-33=22 Exploring Operation: 55-12=43, Resulting Numbers: [33, 43] Generated Node #0,0,2: 54:[33, 43] Operation: 55-12=43 Exploring Operation: 33-12=21, Resulting Numbers: [55, 21] Generated Node #0,0,3: 54:[55, 21] Operation: 33-12=21 Moving to Node #0,2 Current State: 54:[12, 34, 56], Operations: ['89-33=56'] Exploring Operation: 56-34=22, Resulting Numbers: [12, 22] Generated Node #0,2,0: 54:[12, 22] Operation: 56-34=22 Exploring Operation: 34-12=22, Resulting Numbers: [56, 22] Generated Node #0,2,1: 54:[56, 22] Operation: 34-12=22 Exploring Operation: 56-12=44, Resulting Numbers: [34, 44] Generated Node #0,2,2: 54:[34, 44] Operation: 56-12=44 Exploring Operation: 12+34=46, Resulting Numbers: [56, 46] Generated Node #0,2,3: 54:[56, 46] Operation: 12+34=46 Moving to Node #0,3 Current State: 54:[33, 34, 77], Operations: ['89-12=77'] Exploring Operation: 77-34=43, Resulting Numbers: [33, 43] Generated Node #0,3,0: 54:[33, 43] Operation: 77-34=43 Exploring Operation: 34-33=1, Resulting Numbers: [77, 1] Generated Node #0,3,1: 54:[77, 1] Operation: 34-33=1 Exploring Operation: 33+34=67, Resulting Numbers: [77, 67] Generated Node #0,3,2: 54:[77, 67] Operation: 33+34=67 Exploring Operation: 77-33=44, Resulting Numbers: [34, 44] Generated Node #0,3,3: 54:[34, 44] Operation: 77-33=44 Moving to Node #0,1 Current State: 54:[89, 12, 1], Operations: ['34-33=1'] Exploring Operation: 12-1=11, Resulting Numbers: [89, 11] Generated Node #0,1,0: 54:[89, 11] Operation: 12-1=11 Exploring Operation: 89-1=88, Resulting Numbers: [12, 88] Generated Node #0,1,1: 54:[12, 88] Operation: 89-1=88 Exploring Operation: 89-12=77, Resulting Numbers: [1, 77] Generated Node #0,1,2: 54:[1, 77] Operation: 89-12=77 Exploring Operation: 89*1=89, Resulting Numbers: [12, 89] Generated Node #0,1,3: 54:[12, 89] Operation: 89*1=89 Moving to Node #0,0,3 Current State: 54:[55, 21], Operations: ['89-34=55', '33-12=21'] Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,54 unequal: No Solution Exploring Operation: 55+21=76, Resulting Numbers: [76] 76,54 unequal: No Solution Exploring Operation: 55*21=1155, Resulting Numbers: [1155] 1155,54 unequal: No Solution Moving to Node #0,2,1 Current State: 54:[56, 22], Operations: ['89-33=56', '34-12=22'] Exploring Operation: 56-22=34, Resulting Numbers: [34] 34,54 unequal: No Solution Exploring Operation: 56+22=78, Resulting Numbers: [78] 78,54 unequal: No Solution Exploring Operation: 56*22=1232, Resulting Numbers: [1232] 1232,54 unequal: No Solution Moving to Node #0,2,0 Current State: 54:[12, 22], Operations: ['89-33=56', '56-34=22'] Exploring Operation: 12*22=264, Resulting Numbers: [264] 264,54 unequal: No Solution Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,54 unequal: No Solution Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,54 unequal: No Solution Moving to Node #0,0,1 Current State: 54:[12, 22], Operations: ['89-34=55', '55-33=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,54 unequal: No Solution Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,54 unequal: No Solution Exploring Operation: 12*22=264, Resulting Numbers: [264] 264,54 unequal: No Solution Moving to Node #0,2,0,0 Current State: 54:[10], Operations: ['89-33=56', '56-34=22', '22-12=10'] Moving to Node #0,0,1,0 Current State: 54:[10], Operations: ['89-34=55', '55-33=22', '22-12=10'] Moving to Node #0,0,3,0 Current State: 54:[34], Operations: ['89-34=55', '33-12=21', '55-21=34'] Moving to Node #0,2,0,0 Current State: 54:[34], Operations: ['89-33=56', '56-34=22', '12+22=34'] Moving to Node #0,0,1,0 Current State: 54:[34], Operations: ['89-34=55', '55-33=22', '12+22=34'] Moving to Node #0,2,1,0 Current State: 54:[34], Operations: ['89-33=56', '34-12=22', '56-22=34'] Moving to Node #0,2,3 Current State: 54:[56, 46], Operations: ['89-33=56', '12+34=46'] Exploring Operation: 56*46=2576, Resulting Numbers: [2576] 2576,54 unequal: No Solution Exploring Operation: 56+46=102, Resulting Numbers: [102] 102,54 unequal: No Solution Exploring Operation: 56-46=10, Resulting Numbers: [10] 10,54 unequal: No Solution Moving to Node #0,0,0 Current State: 54:[55, 45], Operations: ['89-34=55', '33+12=45'] Exploring Operation: 55*45=2475, Resulting Numbers: [2475] 2475,54 unequal: No Solution Exploring Operation: 55+45=100, Resulting Numbers: [100] 100,54 unequal: No Solution Exploring Operation: 55-45=10, Resulting Numbers: [10] 10,54 unequal: No Solution Moving to Node #0,2,3,0 Current State: 54:[10], Operations: ['89-33=56', '12+34=46', '56-46=10'] Moving to Node #0,0,0,0 Current State: 54:[10], Operations: ['89-34=55', '33+12=45', '55-45=10'] Moving to Node #0,3,3 Current State: 54:[34, 44], Operations: ['89-12=77', '77-33=44'] Exploring Operation: 44-34=10, Resulting Numbers: [10] 10,54 unequal: No Solution Exploring Operation: 34*44=1496, Resulting Numbers: [1496] 1496,54 unequal: No Solution Exploring Operation: 34+44=78, Resulting Numbers: [78] 78,54 unequal: No Solution Moving to Node #0,3,0 Current State: 54:[33, 43], Operations: ['89-12=77', '77-34=43'] Exploring Operation: 33*43=1419, Resulting Numbers: [1419] 1419,54 unequal: No Solution Exploring Operation: 43-33=10, Resulting Numbers: [10] 10,54 unequal: No Solution Exploring Operation: 33+43=76, Resulting Numbers: [76] 76,54 unequal: No Solution Moving to Node #0,3,3,0 Current State: 54:[10], Operations: ['89-12=77', '77-33=44', '44-34=10'] Moving to Node #0,3,0,0 Current State: 54:[10], Operations: ['89-12=77', '77-34=43', '43-33=10'] Moving to Node #0,0,2 Current State: 54:[33, 43], Operations: ['89-34=55', '55-12=43'] Exploring Operation: 33*43=1419, Resulting Numbers: [1419] 1419,54 unequal: No Solution Exploring Operation: 33+43=76, Resulting Numbers: [76] 76,54 unequal: No Solution Exploring Operation: 43-33=10, Resulting Numbers: [10] 10,54 unequal: No Solution Moving to Node #0,2,2 Current State: 54:[34, 44], Operations: ['89-33=56', '56-12=44'] Exploring Operation: 34*44=1496, Resulting Numbers: [1496] 1496,54 unequal: No Solution Exploring Operation: 44-34=10, Resulting Numbers: [10] 10,54 unequal: No Solution Exploring Operation: 34+44=78, Resulting Numbers: [78] 78,54 unequal: No Solution Moving to Node #0,0,2,0 Current State: 54:[10], Operations: ['89-34=55', '55-12=43', '43-33=10'] Moving to Node #0,2,2,0 Current State: 54:[10], Operations: ['89-33=56', '56-12=44', '44-34=10'] Moving to Node #0,0,3,0 Current State: 54:[76], Operations: ['89-34=55', '33-12=21', '55+21=76'] Moving to Node #0,3,0,0 Current State: 54:[76], Operations: ['89-12=77', '77-34=43', '33+43=76'] Moving to Node #0,0,2,0 Current State: 54:[76], Operations: ['89-34=55', '55-12=43', '33+43=76'] Moving to Node #0,1,2 Current State: 54:[1, 77], Operations: ['34-33=1', '89-12=77'] Exploring Operation: 1+77=78, Resulting Numbers: [78] 78,54 unequal: No Solution Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,54 unequal: No Solution Exploring Operation: 77/1=77, Resulting Numbers: [77] 77,54 unequal: No Solution Exploring Operation: 1*77=77, Resulting Numbers: [77] 77,54 unequal: No Solution Moving to Node #0,2,2,0 Current State: 54:[78], Operations: ['89-33=56', '56-12=44', '34+44=78'] Moving to Node #0,3,1 Current State: 54:[77, 1], Operations: ['89-12=77', '34-33=1'] Exploring Operation: 77+1=78, Resulting Numbers: [78] 78,54 unequal: No Solution Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,54 unequal: No Solution Exploring Operation: 77/1=77, Resulting Numbers: [77] 77,54 unequal: No Solution Exploring Operation: 77*1=77, Resulting Numbers: [77] 77,54 unequal: No Solution Moving to Node #0,1,2,0 Current State: 54:[76], Operations: ['34-33=1', '89-12=77', '77-1=76'] Moving to Node #0,3,1,0 Current State: 54:[76], Operations: ['89-12=77', '34-33=1', '77-1=76'] Moving to Node #0,3,1,0 Current State: 54:[77], Operations: ['89-12=77', '34-33=1', '77/1=77'] Moving to Node #0,3,1,0 Current State: 54:[77], Operations: ['89-12=77', '34-33=1', '77*1=77'] Moving to Node #0,1,2,0 Current State: 54:[77], Operations: ['34-33=1', '89-12=77', '77/1=77'] Moving to Node #0,1,2,0 Current State: 54:[77], Operations: ['34-33=1', '89-12=77', '1*77=77'] Moving to Node #0,3,1,0 Current State: 54:[78], Operations: ['89-12=77', '34-33=1', '77+1=78'] Moving to Node #0,1,2,0 Current State: 54:[78], Operations: ['34-33=1', '89-12=77', '1+77=78'] Moving to Node #0,3,3,0 Current State: 54:[78], Operations: ['89-12=77', '77-33=44', '34+44=78'] Moving to Node #0,2,1,0 Current State: 54:[78], Operations: ['89-33=56', '34-12=22', '56+22=78'] Moving to Node #0,3,2 Current State: 54:[77, 67], Operations: ['89-12=77', '33+34=67'] Exploring Operation: 77*67=5159, Resulting Numbers: [5159] 5159,54 unequal: No Solution Exploring Operation: 77+67=144, Resulting Numbers: [144] 144,54 unequal: No Solution Exploring Operation: 77-67=10, Resulting Numbers: [10] 10,54 unequal: No Solution Moving to Node #0,1,0 Current State: 54:[89, 11], Operations: ['34-33=1', '12-1=11'] Exploring Operation: 89-11=78, Resulting Numbers: [78] 78,54 unequal: No Solution Exploring Operation: 89*11=979, Resulting Numbers: [979] 979,54 unequal: No Solution Exploring Operation: 89+11=100, Resulting Numbers: [100] 100,54 unequal: No Solution Moving to Node #0,3,2,0 Current State: 54:[10], Operations: ['89-12=77', '33+34=67', '77-67=10'] Moving to Node #0,1,0,0 Current State: 54:[78], Operations: ['34-33=1', '12-1=11', '89-11=78'] Moving to Node #0,1,1 Current State: 54:[12, 88], Operations: ['34-33=1', '89-1=88'] Exploring Operation: 12*88=1056, Resulting Numbers: [1056] 1056,54 unequal: No Solution Exploring Operation: 12+88=100, Resulting Numbers: [100] 100,54 unequal: No Solution Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,54 unequal: No Solution Moving to Node #0,1,3 Current State: 54:[12, 89], Operations: ['34-33=1', '89*1=89'] Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,54 unequal: No Solution Exploring Operation: 12+89=101, Resulting Numbers: [101] 101,54 unequal: No Solution Exploring Operation: 12*89=1068, Resulting Numbers: [1068] 1068,54 unequal: No Solution Moving to Node #0,1,1,0 Current State: 54:[76], Operations: ['34-33=1', '89-1=88', '88-12=76'] Moving to Node #0,1,3,0 Current State: 54:[77], Operations: ['34-33=1', '89*1=89', '89-12=77'] Moving to Node #0,0,0,0 Current State: 54:[100], Operations: ['89-34=55', '33+12=45', '55+45=100'] Moving to Node #0,1,0,0 Current State: 54:[100], Operations: ['34-33=1', '12-1=11', '89+11=100'] Moving to Node #0,1,1,0 Current State: 54:[100], Operations: ['34-33=1', '89-1=88', '12+88=100'] Moving to Node #0,1,3,0 Current State: 54:[101], Operations: ['34-33=1', '89*1=89', '12+89=101'] Moving to Node #0,2,3,0 Current State: 54:[102], Operations: ['89-33=56', '12+34=46', '56+46=102'] Moving to Node #0,3,2,0 Current State: 54:[144], Operations: ['89-12=77', '33+34=67', '77+67=144'] Moving to Node #0,0,1,0 Current State: 54:[264], Operations: ['89-34=55', '55-33=22', '12*22=264'] Moving to Node #0,2,0,0 Current State: 54:[264], Operations: ['89-33=56', '56-34=22', '12*22=264'] Moving to Node #0,1,0,0 Current State: 54:[979], Operations: ['34-33=1', '12-1=11', '89*11=979'] Moving to Node #0,1,1,0 Current State: 54:[1056], Operations: ['34-33=1', '89-1=88', '12*88=1056'] Moving to Node #0,1,3,0 Current State: 54:[1068], Operations: ['34-33=1', '89*1=89', '12*89=1068'] Moving to Node #0,0,3,0 Current State: 54:[1155], Operations: ['89-34=55', '33-12=21', '55*21=1155'] Moving to Node #0,2,1,0 Current State: 54:[1232], Operations: ['89-33=56', '34-12=22', '56*22=1232'] Moving to Node #0,0,2,0 Current State: 54:[1419], Operations: ['89-34=55', '55-12=43', '33*43=1419'] Moving to Node #0,3,0,0 Current State: 54:[1419], Operations: ['89-12=77', '77-34=43', '33*43=1419'] Moving to Node #0,3,3,0 Current State: 54:[1496], Operations: ['89-12=77', '77-33=44', '34*44=1496'] Moving to Node #0,2,2,0 Current State: 54:[1496], Operations: ['89-33=56', '56-12=44', '34*44=1496'] Moving to Node #0,0,0,0 Current State: 54:[2475], Operations: ['89-34=55', '33+12=45', '55*45=2475'] Moving to Node #0,2,3,0 Current State: 54:[2576], Operations: ['89-33=56', '12+34=46', '56*46=2576'] Moving to Node #0,3,2,0 Current State: 54:[5159], Operations: ['89-12=77', '33+34=67', '77*67=5159'] No solution found.
0
bfs_4
Current State: 54:[33, 89, 12, 34], Operations: [] Exploring Operation: 33*34=1122, Resulting Numbers: [89, 12, 1122] Generated Node #2: [89, 12, 1122] from Operation: 33*34=1122 Current State: 54:[89, 12, 1122], Operations: ['33*34=1122'] Exploring Operation: 89*12=1068, Resulting Numbers: [1122, 1068] Generated Node #3: [1122, 1068] from Operation: 89*12=1068 Current State: 54:[1122, 1068], Operations: ['33*34=1122', '89*12=1068'] Exploring Operation: 1122-1068=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
mult_heuristic
[ { "content": "Make 54 with the numbers [33, 89, 12, 34] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 54:[33, 89, 12, 34], Operations: []\nExploring Operation: 89-34=55, Resulting Numbers: [33, 12, 55]\nGenerated Node #0,0: 54:[33, 12, 55] Operation: 89-34=55\nExploring Operation: 34-33=1, Resulting Numbers: [89, 12, 1]\nGenerated Node #0,1: 54:[89, 12, 1] Operation: 34-33=1\nExploring Operation: 89-33=56, Resulting Numbers: [12, 34, 56]\nGenerated Node #0,2: 54:[12, 34, 56] Operation: 89-33=56\nExploring Operation: 89-12=77, Resulting Numbers: [33, 34, 77]\nGenerated Node #0,3: 54:[33, 34, 77] Operation: 89-12=77\nMoving to Node #0,0\nCurrent State: 54:[33, 12, 55], Operations: ['89-34=55']\nExploring Operation: 33+12=45, Resulting Numbers: [55, 45]\nGenerated Node #0,0,0: 54:[55, 45] Operation: 33+12=45\nExploring Operation: 55-33=22, Resulting Numbers: [12, 22]\nGenerated Node #0,0,1: 54:[12, 22] Operation: 55-33=22\nExploring Operation: 55-12=43, Resulting Numbers: [33, 43]\nGenerated Node #0,0,2: 54:[33, 43] Operation: 55-12=43\nExploring Operation: 33-12=21, Resulting Numbers: [55, 21]\nGenerated Node #0,0,3: 54:[55, 21] Operation: 33-12=21\nMoving to Node #0,2\nCurrent State: 54:[12, 34, 56], Operations: ['89-33=56']\nExploring Operation: 56-34=22, Resulting Numbers: [12, 22]\nGenerated Node #0,2,0: 54:[12, 22] Operation: 56-34=22\nExploring Operation: 34-12=22, Resulting Numbers: [56, 22]\nGenerated Node #0,2,1: 54:[56, 22] Operation: 34-12=22\nExploring Operation: 56-12=44, Resulting Numbers: [34, 44]\nGenerated Node #0,2,2: 54:[34, 44] Operation: 56-12=44\nExploring Operation: 12+34=46, Resulting Numbers: [56, 46]\nGenerated Node #0,2,3: 54:[56, 46] Operation: 12+34=46\nMoving to Node #0,3\nCurrent State: 54:[33, 34, 77], Operations: ['89-12=77']\nExploring Operation: 77-34=43, Resulting Numbers: [33, 43]\nGenerated Node #0,3,0: 54:[33, 43] Operation: 77-34=43\nExploring Operation: 34-33=1, Resulting Numbers: [77, 1]\nGenerated Node #0,3,1: 54:[77, 1] Operation: 34-33=1\nExploring Operation: 33+34=67, Resulting Numbers: [77, 67]\nGenerated Node #0,3,2: 54:[77, 67] Operation: 33+34=67\nExploring Operation: 77-33=44, Resulting Numbers: [34, 44]\nGenerated Node #0,3,3: 54:[34, 44] Operation: 77-33=44\nMoving to Node #0,1\nCurrent State: 54:[89, 12, 1], Operations: ['34-33=1']\nExploring Operation: 12-1=11, Resulting Numbers: [89, 11]\nGenerated Node #0,1,0: 54:[89, 11] Operation: 12-1=11\nExploring Operation: 89-1=88, Resulting Numbers: [12, 88]\nGenerated Node #0,1,1: 54:[12, 88] Operation: 89-1=88\nExploring Operation: 89-12=77, Resulting Numbers: [1, 77]\nGenerated Node #0,1,2: 54:[1, 77] Operation: 89-12=77\nExploring Operation: 89*1=89, Resulting Numbers: [12, 89]\nGenerated Node #0,1,3: 54:[12, 89] Operation: 89*1=89\nMoving to Node #0,0,3\nCurrent State: 54:[55, 21], Operations: ['89-34=55', '33-12=21']\nExploring Operation: 55-21=34, Resulting Numbers: [34]\n34,54 unequal: No Solution\nExploring Operation: 55+21=76, Resulting Numbers: [76]\n76,54 unequal: No Solution\nExploring Operation: 55*21=1155, Resulting Numbers: [1155]\n1155,54 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 54:[56, 22], Operations: ['89-33=56', '34-12=22']\nExploring Operation: 56-22=34, Resulting Numbers: [34]\n34,54 unequal: No Solution\nExploring Operation: 56+22=78, Resulting Numbers: [78]\n78,54 unequal: No Solution\nExploring Operation: 56*22=1232, Resulting Numbers: [1232]\n1232,54 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 54:[12, 22], Operations: ['89-33=56', '56-34=22']\nExploring Operation: 12*22=264, Resulting Numbers: [264]\n264,54 unequal: No Solution\nExploring Operation: 12+22=34, Resulting Numbers: [34]\n34,54 unequal: No Solution\nExploring Operation: 22-12=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 54:[12, 22], Operations: ['89-34=55', '55-33=22']\nExploring Operation: 12+22=34, Resulting Numbers: [34]\n34,54 unequal: No Solution\nExploring Operation: 22-12=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nExploring Operation: 12*22=264, Resulting Numbers: [264]\n264,54 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 54:[10], Operations: ['89-33=56', '56-34=22', '22-12=10']\nMoving to Node #0,0,1,0\nCurrent State: 54:[10], Operations: ['89-34=55', '55-33=22', '22-12=10']\nMoving to Node #0,0,3,0\nCurrent State: 54:[34], Operations: ['89-34=55', '33-12=21', '55-21=34']\nMoving to Node #0,2,0,0\nCurrent State: 54:[34], Operations: ['89-33=56', '56-34=22', '12+22=34']\nMoving to Node #0,0,1,0\nCurrent State: 54:[34], Operations: ['89-34=55', '55-33=22', '12+22=34']\nMoving to Node #0,2,1,0\nCurrent State: 54:[34], Operations: ['89-33=56', '34-12=22', '56-22=34']\nMoving to Node #0,2,3\nCurrent State: 54:[56, 46], Operations: ['89-33=56', '12+34=46']\nExploring Operation: 56*46=2576, Resulting Numbers: [2576]\n2576,54 unequal: No Solution\nExploring Operation: 56+46=102, Resulting Numbers: [102]\n102,54 unequal: No Solution\nExploring Operation: 56-46=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 54:[55, 45], Operations: ['89-34=55', '33+12=45']\nExploring Operation: 55*45=2475, Resulting Numbers: [2475]\n2475,54 unequal: No Solution\nExploring Operation: 55+45=100, Resulting Numbers: [100]\n100,54 unequal: No Solution\nExploring Operation: 55-45=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nMoving to Node #0,2,3,0\nCurrent State: 54:[10], Operations: ['89-33=56', '12+34=46', '56-46=10']\nMoving to Node #0,0,0,0\nCurrent State: 54:[10], Operations: ['89-34=55', '33+12=45', '55-45=10']\nMoving to Node #0,3,3\nCurrent State: 54:[34, 44], Operations: ['89-12=77', '77-33=44']\nExploring Operation: 44-34=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nExploring Operation: 34*44=1496, Resulting Numbers: [1496]\n1496,54 unequal: No Solution\nExploring Operation: 34+44=78, Resulting Numbers: [78]\n78,54 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 54:[33, 43], Operations: ['89-12=77', '77-34=43']\nExploring Operation: 33*43=1419, Resulting Numbers: [1419]\n1419,54 unequal: No Solution\nExploring Operation: 43-33=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nExploring Operation: 33+43=76, Resulting Numbers: [76]\n76,54 unequal: No Solution\nMoving to Node #0,3,3,0\nCurrent State: 54:[10], Operations: ['89-12=77', '77-33=44', '44-34=10']\nMoving to Node #0,3,0,0\nCurrent State: 54:[10], Operations: ['89-12=77', '77-34=43', '43-33=10']\nMoving to Node #0,0,2\nCurrent State: 54:[33, 43], Operations: ['89-34=55', '55-12=43']\nExploring Operation: 33*43=1419, Resulting Numbers: [1419]\n1419,54 unequal: No Solution\nExploring Operation: 33+43=76, Resulting Numbers: [76]\n76,54 unequal: No Solution\nExploring Operation: 43-33=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 54:[34, 44], Operations: ['89-33=56', '56-12=44']\nExploring Operation: 34*44=1496, Resulting Numbers: [1496]\n1496,54 unequal: No Solution\nExploring Operation: 44-34=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nExploring Operation: 34+44=78, Resulting Numbers: [78]\n78,54 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 54:[10], Operations: ['89-34=55', '55-12=43', '43-33=10']\nMoving to Node #0,2,2,0\nCurrent State: 54:[10], Operations: ['89-33=56', '56-12=44', '44-34=10']\nMoving to Node #0,0,3,0\nCurrent State: 54:[76], Operations: ['89-34=55', '33-12=21', '55+21=76']\nMoving to Node #0,3,0,0\nCurrent State: 54:[76], Operations: ['89-12=77', '77-34=43', '33+43=76']\nMoving to Node #0,0,2,0\nCurrent State: 54:[76], Operations: ['89-34=55', '55-12=43', '33+43=76']\nMoving to Node #0,1,2\nCurrent State: 54:[1, 77], Operations: ['34-33=1', '89-12=77']\nExploring Operation: 1+77=78, Resulting Numbers: [78]\n78,54 unequal: No Solution\nExploring Operation: 77-1=76, Resulting Numbers: [76]\n76,54 unequal: No Solution\nExploring Operation: 77/1=77, Resulting Numbers: [77]\n77,54 unequal: No Solution\nExploring Operation: 1*77=77, Resulting Numbers: [77]\n77,54 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 54:[78], Operations: ['89-33=56', '56-12=44', '34+44=78']\nMoving to Node #0,3,1\nCurrent State: 54:[77, 1], Operations: ['89-12=77', '34-33=1']\nExploring Operation: 77+1=78, Resulting Numbers: [78]\n78,54 unequal: No Solution\nExploring Operation: 77-1=76, Resulting Numbers: [76]\n76,54 unequal: No Solution\nExploring Operation: 77/1=77, Resulting Numbers: [77]\n77,54 unequal: No Solution\nExploring Operation: 77*1=77, Resulting Numbers: [77]\n77,54 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 54:[76], Operations: ['34-33=1', '89-12=77', '77-1=76']\nMoving to Node #0,3,1,0\nCurrent State: 54:[76], Operations: ['89-12=77', '34-33=1', '77-1=76']\nMoving to Node #0,3,1,0\nCurrent State: 54:[77], Operations: ['89-12=77', '34-33=1', '77/1=77']\nMoving to Node #0,3,1,0\nCurrent State: 54:[77], Operations: ['89-12=77', '34-33=1', '77*1=77']\nMoving to Node #0,1,2,0\nCurrent State: 54:[77], Operations: ['34-33=1', '89-12=77', '77/1=77']\nMoving to Node #0,1,2,0\nCurrent State: 54:[77], Operations: ['34-33=1', '89-12=77', '1*77=77']\nMoving to Node #0,3,1,0\nCurrent State: 54:[78], Operations: ['89-12=77', '34-33=1', '77+1=78']\nMoving to Node #0,1,2,0\nCurrent State: 54:[78], Operations: ['34-33=1', '89-12=77', '1+77=78']\nMoving to Node #0,3,3,0\nCurrent State: 54:[78], Operations: ['89-12=77', '77-33=44', '34+44=78']\nMoving to Node #0,2,1,0\nCurrent State: 54:[78], Operations: ['89-33=56', '34-12=22', '56+22=78']\nMoving to Node #0,3,2\nCurrent State: 54:[77, 67], Operations: ['89-12=77', '33+34=67']\nExploring Operation: 77*67=5159, Resulting Numbers: [5159]\n5159,54 unequal: No Solution\nExploring Operation: 77+67=144, Resulting Numbers: [144]\n144,54 unequal: No Solution\nExploring Operation: 77-67=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 54:[89, 11], Operations: ['34-33=1', '12-1=11']\nExploring Operation: 89-11=78, Resulting Numbers: [78]\n78,54 unequal: No Solution\nExploring Operation: 89*11=979, Resulting Numbers: [979]\n979,54 unequal: No Solution\nExploring Operation: 89+11=100, Resulting Numbers: [100]\n100,54 unequal: No Solution\nMoving to Node #0,3,2,0\nCurrent State: 54:[10], Operations: ['89-12=77', '33+34=67', '77-67=10']\nMoving to Node #0,1,0,0\nCurrent State: 54:[78], Operations: ['34-33=1', '12-1=11', '89-11=78']\nMoving to Node #0,1,1\nCurrent State: 54:[12, 88], Operations: ['34-33=1', '89-1=88']\nExploring Operation: 12*88=1056, Resulting Numbers: [1056]\n1056,54 unequal: No Solution\nExploring Operation: 12+88=100, Resulting Numbers: [100]\n100,54 unequal: No Solution\nExploring Operation: 88-12=76, Resulting Numbers: [76]\n76,54 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 54:[12, 89], Operations: ['34-33=1', '89*1=89']\nExploring Operation: 89-12=77, Resulting Numbers: [77]\n77,54 unequal: No Solution\nExploring Operation: 12+89=101, Resulting Numbers: [101]\n101,54 unequal: No Solution\nExploring Operation: 12*89=1068, Resulting Numbers: [1068]\n1068,54 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 54:[76], Operations: ['34-33=1', '89-1=88', '88-12=76']\nMoving to Node #0,1,3,0\nCurrent State: 54:[77], Operations: ['34-33=1', '89*1=89', '89-12=77']\nMoving to Node #0,0,0,0\nCurrent State: 54:[100], Operations: ['89-34=55', '33+12=45', '55+45=100']\nMoving to Node #0,1,0,0\nCurrent State: 54:[100], Operations: ['34-33=1', '12-1=11', '89+11=100']\nMoving to Node #0,1,1,0\nCurrent State: 54:[100], Operations: ['34-33=1', '89-1=88', '12+88=100']\nMoving to Node #0,1,3,0\nCurrent State: 54:[101], Operations: ['34-33=1', '89*1=89', '12+89=101']\nMoving to Node #0,2,3,0\nCurrent State: 54:[102], Operations: ['89-33=56', '12+34=46', '56+46=102']\nMoving to Node #0,3,2,0\nCurrent State: 54:[144], Operations: ['89-12=77', '33+34=67', '77+67=144']\nMoving to Node #0,0,1,0\nCurrent State: 54:[264], Operations: ['89-34=55', '55-33=22', '12*22=264']\nMoving to Node #0,2,0,0\nCurrent State: 54:[264], Operations: ['89-33=56', '56-34=22', '12*22=264']\nMoving to Node #0,1,0,0\nCurrent State: 54:[979], Operations: ['34-33=1', '12-1=11', '89*11=979']\nMoving to Node #0,1,1,0\nCurrent State: 54:[1056], Operations: ['34-33=1', '89-1=88', '12*88=1056']\nMoving to Node #0,1,3,0\nCurrent State: 54:[1068], Operations: ['34-33=1', '89*1=89', '12*89=1068']\nMoving to Node #0,0,3,0\nCurrent State: 54:[1155], Operations: ['89-34=55', '33-12=21', '55*21=1155']\nMoving to Node #0,2,1,0\nCurrent State: 54:[1232], Operations: ['89-33=56', '34-12=22', '56*22=1232']\nMoving to Node #0,0,2,0\nCurrent State: 54:[1419], Operations: ['89-34=55', '55-12=43', '33*43=1419']\nMoving to Node #0,3,0,0\nCurrent State: 54:[1419], Operations: ['89-12=77', '77-34=43', '33*43=1419']\nMoving to Node #0,3,3,0\nCurrent State: 54:[1496], Operations: ['89-12=77', '77-33=44', '34*44=1496']\nMoving to Node #0,2,2,0\nCurrent State: 54:[1496], Operations: ['89-33=56', '56-12=44', '34*44=1496']\nMoving to Node #0,0,0,0\nCurrent State: 54:[2475], Operations: ['89-34=55', '33+12=45', '55*45=2475']\nMoving to Node #0,2,3,0\nCurrent State: 54:[2576], Operations: ['89-33=56', '12+34=46', '56*46=2576']\nMoving to Node #0,3,2,0\nCurrent State: 54:[5159], Operations: ['89-12=77', '33+34=67', '77*67=5159']\nNo solution found.", "role": "assistant" } ]
[ 17, 95, 20, 95 ]
38
[ "17+20=37", "95/95=1", "37+1=38" ]
Current State: 38:[17, 95, 20, 95], Operations: [] Exploring Operation: 95/95=1, Resulting Numbers: [17, 20, 1] Generated Node #0,0: 38:[17, 20, 1] Operation: 95/95=1 Moving to Node #0,0 Current State: 38:[17, 20, 1], Operations: ['95/95=1'] Exploring Operation: 17+20=37, Resulting Numbers: [1, 37] Generated Node #0,0,0: 38:[1, 37] Operation: 17+20=37 Moving to Node #0,0,0 Current State: 38:[1, 37], Operations: ['95/95=1', '17+20=37'] Exploring Operation: 1+37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
0.996528
bfs_1
Current State: 38:[17, 95, 20, 95], Operations: [] Exploring Operation: 17+20=37, Resulting Numbers: [95, 95, 37] Generated Node #2: [95, 95, 37] from Operation: 17+20=37 Current State: 38:[95, 95, 37], Operations: ['17+20=37'] Exploring Operation: 95/95=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 95/95=1 Current State: 38:[37, 1], Operations: ['17+20=37', '95/95=1'] Exploring Operation: 37+1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
mult_heuristic
[ { "content": "Make 38 with the numbers [17, 95, 20, 95] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 38:[17, 95, 20, 95], Operations: []\nExploring Operation: 95/95=1, Resulting Numbers: [17, 20, 1]\nGenerated Node #0,0: 38:[17, 20, 1] Operation: 95/95=1\nMoving to Node #0,0\nCurrent State: 38:[17, 20, 1], Operations: ['95/95=1']\nExploring Operation: 17+20=37, Resulting Numbers: [1, 37]\nGenerated Node #0,0,0: 38:[1, 37] Operation: 17+20=37\nMoving to Node #0,0,0\nCurrent State: 38:[1, 37], Operations: ['95/95=1', '17+20=37']\nExploring Operation: 1+37=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached\n", "role": "assistant" } ]
[ 71, 30, 68, 11 ]
63
[ "71-68=3", "11*3=33", "30+33=63" ]
Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 30+11=41, Resulting Numbers: [71, 68, 41] Generated Node #0,0: 63:[71, 68, 41] Operation: 30+11=41 Moving to Node #0,0 Current State: 63:[71, 68, 41], Operations: ['30+11=41'] Exploring Operation: 71-41=30, Resulting Numbers: [68, 30] Generated Node #0,0,0: 63:[68, 30] Operation: 71-41=30 Moving to Node #0,0,0 Current State: 63:[68, 30], Operations: ['30+11=41', '71-41=30'] Exploring Operation: 68-30=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,0,0 Current State: 63:[68, 30], Operations: ['30+11=41', '71-41=30'] Exploring Operation: 68+30=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[71, 68, 41], Operations: ['30+11=41'] Exploring Operation: 68-41=27, Resulting Numbers: [71, 27] Generated Node #0,0,1: 63:[71, 27] Operation: 68-41=27 Moving to Node #0,0,1 Current State: 63:[71, 27], Operations: ['30+11=41', '68-41=27'] Exploring Operation: 71-27=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,0,1 Current State: 63:[71, 27], Operations: ['30+11=41', '68-41=27'] Exploring Operation: 71+27=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[71, 68, 41], Operations: ['30+11=41'] Exploring Operation: 71+41=112, Resulting Numbers: [68, 112] Generated Node #0,0,2: 63:[68, 112] Operation: 71+41=112 Moving to Node #0,0,2 Current State: 63:[68, 112], Operations: ['30+11=41', '71+41=112'] Exploring Operation: 112-68=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[71, 68, 41], Operations: ['30+11=41'] Exploring Operation: 68+41=109, Resulting Numbers: [71, 109] Generated Node #0,0,3: 63:[71, 109] Operation: 68+41=109 Moving to Node #0,0,3 Current State: 63:[71, 109], Operations: ['30+11=41', '68+41=109'] Exploring Operation: 109-71=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[71, 68, 41], Operations: ['30+11=41'] Exploring Operation: 71-68=3, Resulting Numbers: [41, 3] Generated Node #0,0,4: 63:[41, 3] Operation: 71-68=3 Moving to Node #0,0,4 Current State: 63:[41, 3], Operations: ['30+11=41', '71-68=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,0,4 Current State: 63:[41, 3], Operations: ['30+11=41', '71-68=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,0,4 Current State: 63:[41, 3], Operations: ['30+11=41', '71-68=3'] Exploring Operation: 41*3=123, Resulting Numbers: [123] 123,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[71, 68, 41], Operations: ['30+11=41'] Exploring Operation: 71+68=139, Resulting Numbers: [41, 139] Generated Node #0,0,5: 63:[41, 139] Operation: 71+68=139 Moving to Node #0,0,5 Current State: 63:[41, 139], Operations: ['30+11=41', '71+68=139'] Exploring Operation: 139-41=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [30, 68, 60] Generated Node #0,1: 63:[30, 68, 60] Operation: 71-11=60 Moving to Node #0,1 Current State: 63:[30, 68, 60], Operations: ['71-11=60'] Exploring Operation: 68-30=38, Resulting Numbers: [60, 38] Generated Node #0,1,0: 63:[60, 38] Operation: 68-30=38 Moving to Node #0,1,0 Current State: 63:[60, 38], Operations: ['71-11=60', '68-30=38'] Exploring Operation: 60+38=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,1,0 Current State: 63:[60, 38], Operations: ['71-11=60', '68-30=38'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[30, 68, 60], Operations: ['71-11=60'] Exploring Operation: 30+60=90, Resulting Numbers: [68, 90] Generated Node #0,1,1: 63:[68, 90] Operation: 30+60=90 Moving to Node #0,1,1 Current State: 63:[68, 90], Operations: ['71-11=60', '30+60=90'] Exploring Operation: 90-68=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[30, 68, 60], Operations: ['71-11=60'] Exploring Operation: 30+68=98, Resulting Numbers: [60, 98] Generated Node #0,1,2: 63:[60, 98] Operation: 30+68=98 Moving to Node #0,1,2 Current State: 63:[60, 98], Operations: ['71-11=60', '30+68=98'] Exploring Operation: 98-60=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[30, 68, 60], Operations: ['71-11=60'] Exploring Operation: 60-30=30, Resulting Numbers: [68, 30] Generated Node #0,1,3: 63:[68, 30] Operation: 60-30=30 Moving to Node #0,1,3 Current State: 63:[68, 30], Operations: ['71-11=60', '60-30=30'] Exploring Operation: 68-30=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,1,3 Current State: 63:[68, 30], Operations: ['71-11=60', '60-30=30'] Exploring Operation: 68+30=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[30, 68, 60], Operations: ['71-11=60'] Exploring Operation: 60/30=2, Resulting Numbers: [68, 2] Generated Node #0,1,4: 63:[68, 2] Operation: 60/30=2 Moving to Node #0,1,4 Current State: 63:[68, 2], Operations: ['71-11=60', '60/30=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,1,4 Current State: 63:[68, 2], Operations: ['71-11=60', '60/30=2'] Exploring Operation: 68+2=70, Resulting Numbers: [70] 70,63 unequal: No Solution Moving to Node #0,1,4 Current State: 63:[68, 2], Operations: ['71-11=60', '60/30=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[30, 68, 60], Operations: ['71-11=60'] Exploring Operation: 68-60=8, Resulting Numbers: [30, 8] Generated Node #0,1,5: 63:[30, 8] Operation: 68-60=8 Moving to Node #0,1,5 Current State: 63:[30, 8], Operations: ['71-11=60', '68-60=8'] Exploring Operation: 30+8=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,1,5 Current State: 63:[30, 8], Operations: ['71-11=60', '68-60=8'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[30, 68, 60], Operations: ['71-11=60'] Exploring Operation: 68+60=128, Resulting Numbers: [30, 128] Generated Node #0,1,6: 63:[30, 128] Operation: 68+60=128 Moving to Node #0,1,6 Current State: 63:[30, 128], Operations: ['71-11=60', '68+60=128'] Exploring Operation: 128-30=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 68-11=57, Resulting Numbers: [71, 30, 57] Generated Node #0,2: 63:[71, 30, 57] Operation: 68-11=57 Moving to Node #0,2 Current State: 63:[71, 30, 57], Operations: ['68-11=57'] Exploring Operation: 71-30=41, Resulting Numbers: [57, 41] Generated Node #0,2,0: 63:[57, 41] Operation: 71-30=41 Moving to Node #0,2,0 Current State: 63:[57, 41], Operations: ['68-11=57', '71-30=41'] Exploring Operation: 57+41=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,2,0 Current State: 63:[57, 41], Operations: ['68-11=57', '71-30=41'] Exploring Operation: 57-41=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[71, 30, 57], Operations: ['68-11=57'] Exploring Operation: 30+57=87, Resulting Numbers: [71, 87] Generated Node #0,2,1: 63:[71, 87] Operation: 30+57=87 Moving to Node #0,2,1 Current State: 63:[71, 87], Operations: ['68-11=57', '30+57=87'] Exploring Operation: 87-71=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[71, 30, 57], Operations: ['68-11=57'] Exploring Operation: 71+30=101, Resulting Numbers: [57, 101] Generated Node #0,2,2: 63:[57, 101] Operation: 71+30=101 Moving to Node #0,2,2 Current State: 63:[57, 101], Operations: ['68-11=57', '71+30=101'] Exploring Operation: 101-57=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[71, 30, 57], Operations: ['68-11=57'] Exploring Operation: 57-30=27, Resulting Numbers: [71, 27] Generated Node #0,2,3: 63:[71, 27] Operation: 57-30=27 Moving to Node #0,2,3 Current State: 63:[71, 27], Operations: ['68-11=57', '57-30=27'] Exploring Operation: 71-27=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,2,3 Current State: 63:[71, 27], Operations: ['68-11=57', '57-30=27'] Exploring Operation: 71+27=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[71, 30, 57], Operations: ['68-11=57'] Exploring Operation: 71-57=14, Resulting Numbers: [30, 14] Generated Node #0,2,4: 63:[30, 14] Operation: 71-57=14 Moving to Node #0,2,4 Current State: 63:[30, 14], Operations: ['68-11=57', '71-57=14'] Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,2,4 Current State: 63:[30, 14], Operations: ['68-11=57', '71-57=14'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[71, 30, 57], Operations: ['68-11=57'] Exploring Operation: 71+57=128, Resulting Numbers: [30, 128] Generated Node #0,2,5: 63:[30, 128] Operation: 71+57=128 Moving to Node #0,2,5 Current State: 63:[30, 128], Operations: ['68-11=57', '71+57=128'] Exploring Operation: 128-30=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 71+11=82, Resulting Numbers: [30, 68, 82] Generated Node #0,3: 63:[30, 68, 82] Operation: 71+11=82 Moving to Node #0,3 Current State: 63:[30, 68, 82], Operations: ['71+11=82'] Exploring Operation: 82-30=52, Resulting Numbers: [68, 52] Generated Node #0,3,0: 63:[68, 52] Operation: 82-30=52 Moving to Node #0,3,0 Current State: 63:[68, 52], Operations: ['71+11=82', '82-30=52'] Exploring Operation: 68-52=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,3,0 Current State: 63:[68, 52], Operations: ['71+11=82', '82-30=52'] Exploring Operation: 68+52=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[30, 68, 82], Operations: ['71+11=82'] Exploring Operation: 68-30=38, Resulting Numbers: [82, 38] Generated Node #0,3,1: 63:[82, 38] Operation: 68-30=38 Moving to Node #0,3,1 Current State: 63:[82, 38], Operations: ['71+11=82', '68-30=38'] Exploring Operation: 82-38=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,3,1 Current State: 63:[82, 38], Operations: ['71+11=82', '68-30=38'] Exploring Operation: 82+38=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[30, 68, 82], Operations: ['71+11=82'] Exploring Operation: 30+68=98, Resulting Numbers: [82, 98] Generated Node #0,3,2: 63:[82, 98] Operation: 30+68=98 Moving to Node #0,3,2 Current State: 63:[82, 98], Operations: ['71+11=82', '30+68=98'] Exploring Operation: 98-82=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[30, 68, 82], Operations: ['71+11=82'] Exploring Operation: 30+82=112, Resulting Numbers: [68, 112] Generated Node #0,3,3: 63:[68, 112] Operation: 30+82=112 Moving to Node #0,3,3 Current State: 63:[68, 112], Operations: ['71+11=82', '30+82=112'] Exploring Operation: 112-68=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[30, 68, 82], Operations: ['71+11=82'] Exploring Operation: 82-68=14, Resulting Numbers: [30, 14] Generated Node #0,3,4: 63:[30, 14] Operation: 82-68=14 Moving to Node #0,3,4 Current State: 63:[30, 14], Operations: ['71+11=82', '82-68=14'] Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,3,4 Current State: 63:[30, 14], Operations: ['71+11=82', '82-68=14'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[30, 68, 82], Operations: ['71+11=82'] Exploring Operation: 68+82=150, Resulting Numbers: [30, 150] Generated Node #0,3,5: 63:[30, 150] Operation: 68+82=150 Moving to Node #0,3,5 Current State: 63:[30, 150], Operations: ['71+11=82', '68+82=150'] Exploring Operation: 150-30=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,3,5 Current State: 63:[30, 150], Operations: ['71+11=82', '68+82=150'] Exploring Operation: 150/30=5, Resulting Numbers: [5] 5,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 30-11=19, Resulting Numbers: [71, 68, 19] Generated Node #0,4: 63:[71, 68, 19] Operation: 30-11=19 Moving to Node #0,4 Current State: 63:[71, 68, 19], Operations: ['30-11=19'] Exploring Operation: 71-19=52, Resulting Numbers: [68, 52] Generated Node #0,4,0: 63:[68, 52] Operation: 71-19=52 Moving to Node #0,4,0 Current State: 63:[68, 52], Operations: ['30-11=19', '71-19=52'] Exploring Operation: 68-52=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,4,0 Current State: 63:[68, 52], Operations: ['30-11=19', '71-19=52'] Exploring Operation: 68+52=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[71, 68, 19], Operations: ['30-11=19'] Exploring Operation: 68-19=49, Resulting Numbers: [71, 49] Generated Node #0,4,1: 63:[71, 49] Operation: 68-19=49 Moving to Node #0,4,1 Current State: 63:[71, 49], Operations: ['30-11=19', '68-19=49'] Exploring Operation: 71-49=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,4,1 Current State: 63:[71, 49], Operations: ['30-11=19', '68-19=49'] Exploring Operation: 71+49=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[71, 68, 19], Operations: ['30-11=19'] Exploring Operation: 71+19=90, Resulting Numbers: [68, 90] Generated Node #0,4,2: 63:[68, 90] Operation: 71+19=90 Moving to Node #0,4,2 Current State: 63:[68, 90], Operations: ['30-11=19', '71+19=90'] Exploring Operation: 90-68=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[71, 68, 19], Operations: ['30-11=19'] Exploring Operation: 68+19=87, Resulting Numbers: [71, 87] Generated Node #0,4,3: 63:[71, 87] Operation: 68+19=87 Moving to Node #0,4,3 Current State: 63:[71, 87], Operations: ['30-11=19', '68+19=87'] Exploring Operation: 87-71=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[71, 68, 19], Operations: ['30-11=19'] Exploring Operation: 71-68=3, Resulting Numbers: [19, 3] Generated Node #0,4,4: 63:[19, 3] Operation: 71-68=3 Moving to Node #0,4,4 Current State: 63:[19, 3], Operations: ['30-11=19', '71-68=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,63 unequal: No Solution Moving to Node #0,4,4 Current State: 63:[19, 3], Operations: ['30-11=19', '71-68=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,4,4 Current State: 63:[19, 3], Operations: ['30-11=19', '71-68=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[71, 68, 19], Operations: ['30-11=19'] Exploring Operation: 71+68=139, Resulting Numbers: [19, 139] Generated Node #0,4,5: 63:[19, 139] Operation: 71+68=139 Moving to Node #0,4,5 Current State: 63:[19, 139], Operations: ['30-11=19', '71+68=139'] Exploring Operation: 139-19=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 68+11=79, Resulting Numbers: [71, 30, 79] Generated Node #0,5: 63:[71, 30, 79] Operation: 68+11=79 Moving to Node #0,5 Current State: 63:[71, 30, 79], Operations: ['68+11=79'] Exploring Operation: 79-30=49, Resulting Numbers: [71, 49] Generated Node #0,5,0: 63:[71, 49] Operation: 79-30=49 Moving to Node #0,5,0 Current State: 63:[71, 49], Operations: ['68+11=79', '79-30=49'] Exploring Operation: 71-49=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,5,0 Current State: 63:[71, 49], Operations: ['68+11=79', '79-30=49'] Exploring Operation: 71+49=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[71, 30, 79], Operations: ['68+11=79'] Exploring Operation: 71-30=41, Resulting Numbers: [79, 41] Generated Node #0,5,1: 63:[79, 41] Operation: 71-30=41 Moving to Node #0,5,1 Current State: 63:[79, 41], Operations: ['68+11=79', '71-30=41'] Exploring Operation: 79-41=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,5,1 Current State: 63:[79, 41], Operations: ['68+11=79', '71-30=41'] Exploring Operation: 79+41=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[71, 30, 79], Operations: ['68+11=79'] Exploring Operation: 71+30=101, Resulting Numbers: [79, 101] Generated Node #0,5,2: 63:[79, 101] Operation: 71+30=101 Moving to Node #0,5,2 Current State: 63:[79, 101], Operations: ['68+11=79', '71+30=101'] Exploring Operation: 101-79=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[71, 30, 79], Operations: ['68+11=79'] Exploring Operation: 30+79=109, Resulting Numbers: [71, 109] Generated Node #0,5,3: 63:[71, 109] Operation: 30+79=109 Moving to Node #0,5,3 Current State: 63:[71, 109], Operations: ['68+11=79', '30+79=109'] Exploring Operation: 109-71=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[71, 30, 79], Operations: ['68+11=79'] Exploring Operation: 79-71=8, Resulting Numbers: [30, 8] Generated Node #0,5,4: 63:[30, 8] Operation: 79-71=8 Moving to Node #0,5,4 Current State: 63:[30, 8], Operations: ['68+11=79', '79-71=8'] Exploring Operation: 30+8=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,5,4 Current State: 63:[30, 8], Operations: ['68+11=79', '79-71=8'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[71, 30, 79], Operations: ['68+11=79'] Exploring Operation: 71+79=150, Resulting Numbers: [30, 150] Generated Node #0,5,5: 63:[30, 150] Operation: 71+79=150 Moving to Node #0,5,5 Current State: 63:[30, 150], Operations: ['68+11=79', '71+79=150'] Exploring Operation: 150-30=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,5,5 Current State: 63:[30, 150], Operations: ['68+11=79', '71+79=150'] Exploring Operation: 150/30=5, Resulting Numbers: [5] 5,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 71-30=41, Resulting Numbers: [68, 11, 41] Generated Node #0,6: 63:[68, 11, 41] Operation: 71-30=41 Moving to Node #0,6 Current State: 63:[68, 11, 41], Operations: ['71-30=41'] Exploring Operation: 11+41=52, Resulting Numbers: [68, 52] Generated Node #0,6,0: 63:[68, 52] Operation: 11+41=52 Moving to Node #0,6,0 Current State: 63:[68, 52], Operations: ['71-30=41', '11+41=52'] Exploring Operation: 68-52=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,6,0 Current State: 63:[68, 52], Operations: ['71-30=41', '11+41=52'] Exploring Operation: 68+52=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[68, 11, 41], Operations: ['71-30=41'] Exploring Operation: 68-11=57, Resulting Numbers: [41, 57] Generated Node #0,6,1: 63:[41, 57] Operation: 68-11=57 Moving to Node #0,6,1 Current State: 63:[41, 57], Operations: ['71-30=41', '68-11=57'] Exploring Operation: 41+57=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,6,1 Current State: 63:[41, 57], Operations: ['71-30=41', '68-11=57'] Exploring Operation: 57-41=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[68, 11, 41], Operations: ['71-30=41'] Exploring Operation: 68+11=79, Resulting Numbers: [41, 79] Generated Node #0,6,2: 63:[41, 79] Operation: 68+11=79 Moving to Node #0,6,2 Current State: 63:[41, 79], Operations: ['71-30=41', '68+11=79'] Exploring Operation: 79-41=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,6,2 Current State: 63:[41, 79], Operations: ['71-30=41', '68+11=79'] Exploring Operation: 41+79=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[68, 11, 41], Operations: ['71-30=41'] Exploring Operation: 41-11=30, Resulting Numbers: [68, 30] Generated Node #0,6,3: 63:[68, 30] Operation: 41-11=30 Moving to Node #0,6,3 Current State: 63:[68, 30], Operations: ['71-30=41', '41-11=30'] Exploring Operation: 68-30=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,6,3 Current State: 63:[68, 30], Operations: ['71-30=41', '41-11=30'] Exploring Operation: 68+30=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[68, 11, 41], Operations: ['71-30=41'] Exploring Operation: 68-41=27, Resulting Numbers: [11, 27] Generated Node #0,6,4: 63:[11, 27] Operation: 68-41=27 Moving to Node #0,6,4 Current State: 63:[11, 27], Operations: ['71-30=41', '68-41=27'] Exploring Operation: 11+27=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,6,4 Current State: 63:[11, 27], Operations: ['71-30=41', '68-41=27'] Exploring Operation: 27-11=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[68, 11, 41], Operations: ['71-30=41'] Exploring Operation: 68+41=109, Resulting Numbers: [11, 109] Generated Node #0,6,5: 63:[11, 109] Operation: 68+41=109 Moving to Node #0,6,5 Current State: 63:[11, 109], Operations: ['71-30=41', '68+41=109'] Exploring Operation: 109-11=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,6,5 Current State: 63:[11, 109], Operations: ['71-30=41', '68+41=109'] Exploring Operation: 11+109=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 68-30=38, Resulting Numbers: [71, 11, 38] Generated Node #0,7: 63:[71, 11, 38] Operation: 68-30=38 Moving to Node #0,7 Current State: 63:[71, 11, 38], Operations: ['68-30=38'] Exploring Operation: 11+38=49, Resulting Numbers: [71, 49] Generated Node #0,7,0: 63:[71, 49] Operation: 11+38=49 Moving to Node #0,7,0 Current State: 63:[71, 49], Operations: ['68-30=38', '11+38=49'] Exploring Operation: 71-49=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,7,0 Current State: 63:[71, 49], Operations: ['68-30=38', '11+38=49'] Exploring Operation: 71+49=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[71, 11, 38], Operations: ['68-30=38'] Exploring Operation: 71-11=60, Resulting Numbers: [38, 60] Generated Node #0,7,1: 63:[38, 60] Operation: 71-11=60 Moving to Node #0,7,1 Current State: 63:[38, 60], Operations: ['68-30=38', '71-11=60'] Exploring Operation: 38+60=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,7,1 Current State: 63:[38, 60], Operations: ['68-30=38', '71-11=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[71, 11, 38], Operations: ['68-30=38'] Exploring Operation: 71+11=82, Resulting Numbers: [38, 82] Generated Node #0,7,2: 63:[38, 82] Operation: 71+11=82 Moving to Node #0,7,2 Current State: 63:[38, 82], Operations: ['68-30=38', '71+11=82'] Exploring Operation: 82-38=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,7,2 Current State: 63:[38, 82], Operations: ['68-30=38', '71+11=82'] Exploring Operation: 38+82=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[71, 11, 38], Operations: ['68-30=38'] Exploring Operation: 38-11=27, Resulting Numbers: [71, 27] Generated Node #0,7,3: 63:[71, 27] Operation: 38-11=27 Moving to Node #0,7,3 Current State: 63:[71, 27], Operations: ['68-30=38', '38-11=27'] Exploring Operation: 71-27=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,7,3 Current State: 63:[71, 27], Operations: ['68-30=38', '38-11=27'] Exploring Operation: 71+27=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[71, 11, 38], Operations: ['68-30=38'] Exploring Operation: 71-38=33, Resulting Numbers: [11, 33] Generated Node #0,7,4: 63:[11, 33] Operation: 71-38=33 Moving to Node #0,7,4 Current State: 63:[11, 33], Operations: ['68-30=38', '71-38=33'] Exploring Operation: 11+33=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,7,4 Current State: 63:[11, 33], Operations: ['68-30=38', '71-38=33'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,7,4 Current State: 63:[11, 33], Operations: ['68-30=38', '71-38=33'] Exploring Operation: 33/11=3, Resulting Numbers: [3] 3,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[71, 11, 38], Operations: ['68-30=38'] Exploring Operation: 71+38=109, Resulting Numbers: [11, 109] Generated Node #0,7,5: 63:[11, 109] Operation: 71+38=109 Moving to Node #0,7,5 Current State: 63:[11, 109], Operations: ['68-30=38', '71+38=109'] Exploring Operation: 109-11=98, Resulting Numbers: [98] 98,63 unequal: No Solution Moving to Node #0,7,5 Current State: 63:[11, 109], Operations: ['68-30=38', '71+38=109'] Exploring Operation: 11+109=120, Resulting Numbers: [120] 120,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 71+30=101, Resulting Numbers: [68, 11, 101] Generated Node #0,8: 63:[68, 11, 101] Operation: 71+30=101 Moving to Node #0,8 Current State: 63:[68, 11, 101], Operations: ['71+30=101'] Exploring Operation: 101-11=90, Resulting Numbers: [68, 90] Generated Node #0,8,0: 63:[68, 90] Operation: 101-11=90 Moving to Node #0,8,0 Current State: 63:[68, 90], Operations: ['71+30=101', '101-11=90'] Exploring Operation: 90-68=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,8 Current State: 63:[68, 11, 101], Operations: ['71+30=101'] Exploring Operation: 68-11=57, Resulting Numbers: [101, 57] Generated Node #0,8,1: 63:[101, 57] Operation: 68-11=57 Moving to Node #0,8,1 Current State: 63:[101, 57], Operations: ['71+30=101', '68-11=57'] Exploring Operation: 101-57=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,8 Current State: 63:[68, 11, 101], Operations: ['71+30=101'] Exploring Operation: 68+11=79, Resulting Numbers: [101, 79] Generated Node #0,8,2: 63:[101, 79] Operation: 68+11=79 Moving to Node #0,8,2 Current State: 63:[101, 79], Operations: ['71+30=101', '68+11=79'] Exploring Operation: 101-79=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,8 Current State: 63:[68, 11, 101], Operations: ['71+30=101'] Exploring Operation: 11+101=112, Resulting Numbers: [68, 112] Generated Node #0,8,3: 63:[68, 112] Operation: 11+101=112 Moving to Node #0,8,3 Current State: 63:[68, 112], Operations: ['71+30=101', '11+101=112'] Exploring Operation: 112-68=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,8 Current State: 63:[68, 11, 101], Operations: ['71+30=101'] Exploring Operation: 101-68=33, Resulting Numbers: [11, 33] Generated Node #0,8,4: 63:[11, 33] Operation: 101-68=33 Moving to Node #0,8,4 Current State: 63:[11, 33], Operations: ['71+30=101', '101-68=33'] Exploring Operation: 11+33=44, Resulting Numbers: [44] 44,63 unequal: No Solution Moving to Node #0,8,4 Current State: 63:[11, 33], Operations: ['71+30=101', '101-68=33'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,63 unequal: No Solution Moving to Node #0,8,4 Current State: 63:[11, 33], Operations: ['71+30=101', '101-68=33'] Exploring Operation: 33/11=3, Resulting Numbers: [3] 3,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 30+68=98, Resulting Numbers: [71, 11, 98] Generated Node #0,9: 63:[71, 11, 98] Operation: 30+68=98 Moving to Node #0,9 Current State: 63:[71, 11, 98], Operations: ['30+68=98'] Exploring Operation: 98-11=87, Resulting Numbers: [71, 87] Generated Node #0,9,0: 63:[71, 87] Operation: 98-11=87 Moving to Node #0,9,0 Current State: 63:[71, 87], Operations: ['30+68=98', '98-11=87'] Exploring Operation: 87-71=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,9 Current State: 63:[71, 11, 98], Operations: ['30+68=98'] Exploring Operation: 71-11=60, Resulting Numbers: [98, 60] Generated Node #0,9,1: 63:[98, 60] Operation: 71-11=60 Moving to Node #0,9,1 Current State: 63:[98, 60], Operations: ['30+68=98', '71-11=60'] Exploring Operation: 98-60=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,9 Current State: 63:[71, 11, 98], Operations: ['30+68=98'] Exploring Operation: 71+11=82, Resulting Numbers: [98, 82] Generated Node #0,9,2: 63:[98, 82] Operation: 71+11=82 Moving to Node #0,9,2 Current State: 63:[98, 82], Operations: ['30+68=98', '71+11=82'] Exploring Operation: 98-82=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,9 Current State: 63:[71, 11, 98], Operations: ['30+68=98'] Exploring Operation: 11+98=109, Resulting Numbers: [71, 109] Generated Node #0,9,3: 63:[71, 109] Operation: 11+98=109 Moving to Node #0,9,3 Current State: 63:[71, 109], Operations: ['30+68=98', '11+98=109'] Exploring Operation: 109-71=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,9 Current State: 63:[71, 11, 98], Operations: ['30+68=98'] Exploring Operation: 98-71=27, Resulting Numbers: [11, 27] Generated Node #0,9,4: 63:[11, 27] Operation: 98-71=27 Moving to Node #0,9,4 Current State: 63:[11, 27], Operations: ['30+68=98', '98-71=27'] Exploring Operation: 11+27=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,9,4 Current State: 63:[11, 27], Operations: ['30+68=98', '98-71=27'] Exploring Operation: 27-11=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0 Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [30, 11, 3] Generated Node #0,10: 63:[30, 11, 3] Operation: 71-68=3 Moving to Node #0,10 Current State: 63:[30, 11, 3], Operations: ['71-68=3'] Exploring Operation: 11*3=33, Resulting Numbers: [30, 33] Generated Node #0,10,0: 63:[30, 33] Operation: 11*3=33 Moving to Node #0,10,0 Current State: 63:[30, 33], Operations: ['71-68=3', '11*3=33'] Exploring Operation: 30+33=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
0.850694
dfs
Current State: 63:[71, 30, 68, 11], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [30, 11, 3] Generated Node #2: [30, 11, 3] from Operation: 71-68=3 Current State: 63:[30, 11, 3], Operations: ['71-68=3'] Exploring Operation: 11*3=33, Resulting Numbers: [30, 33] Generated Node #3: [30, 33] from Operation: 11*3=33 Current State: 63:[30, 33], Operations: ['71-68=3', '11*3=33'] Exploring Operation: 30+33=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
sum_heuristic
[ { "content": "Make 63 with the numbers [71, 30, 68, 11] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 30+11=41, Resulting Numbers: [71, 68, 41]\nGenerated Node #0,0: 63:[71, 68, 41] Operation: 30+11=41\nMoving to Node #0,0\nCurrent State: 63:[71, 68, 41], Operations: ['30+11=41']\nExploring Operation: 71-41=30, Resulting Numbers: [68, 30]\nGenerated Node #0,0,0: 63:[68, 30] Operation: 71-41=30\nMoving to Node #0,0,0\nCurrent State: 63:[68, 30], Operations: ['30+11=41', '71-41=30']\nExploring Operation: 68-30=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 63:[68, 30], Operations: ['30+11=41', '71-41=30']\nExploring Operation: 68+30=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[71, 68, 41], Operations: ['30+11=41']\nExploring Operation: 68-41=27, Resulting Numbers: [71, 27]\nGenerated Node #0,0,1: 63:[71, 27] Operation: 68-41=27\nMoving to Node #0,0,1\nCurrent State: 63:[71, 27], Operations: ['30+11=41', '68-41=27']\nExploring Operation: 71-27=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 63:[71, 27], Operations: ['30+11=41', '68-41=27']\nExploring Operation: 71+27=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[71, 68, 41], Operations: ['30+11=41']\nExploring Operation: 71+41=112, Resulting Numbers: [68, 112]\nGenerated Node #0,0,2: 63:[68, 112] Operation: 71+41=112\nMoving to Node #0,0,2\nCurrent State: 63:[68, 112], Operations: ['30+11=41', '71+41=112']\nExploring Operation: 112-68=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[71, 68, 41], Operations: ['30+11=41']\nExploring Operation: 68+41=109, Resulting Numbers: [71, 109]\nGenerated Node #0,0,3: 63:[71, 109] Operation: 68+41=109\nMoving to Node #0,0,3\nCurrent State: 63:[71, 109], Operations: ['30+11=41', '68+41=109']\nExploring Operation: 109-71=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[71, 68, 41], Operations: ['30+11=41']\nExploring Operation: 71-68=3, Resulting Numbers: [41, 3]\nGenerated Node #0,0,4: 63:[41, 3] Operation: 71-68=3\nMoving to Node #0,0,4\nCurrent State: 63:[41, 3], Operations: ['30+11=41', '71-68=3']\nExploring Operation: 41+3=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 63:[41, 3], Operations: ['30+11=41', '71-68=3']\nExploring Operation: 41-3=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 63:[41, 3], Operations: ['30+11=41', '71-68=3']\nExploring Operation: 41*3=123, Resulting Numbers: [123]\n123,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[71, 68, 41], Operations: ['30+11=41']\nExploring Operation: 71+68=139, Resulting Numbers: [41, 139]\nGenerated Node #0,0,5: 63:[41, 139] Operation: 71+68=139\nMoving to Node #0,0,5\nCurrent State: 63:[41, 139], Operations: ['30+11=41', '71+68=139']\nExploring Operation: 139-41=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 71-11=60, Resulting Numbers: [30, 68, 60]\nGenerated Node #0,1: 63:[30, 68, 60] Operation: 71-11=60\nMoving to Node #0,1\nCurrent State: 63:[30, 68, 60], Operations: ['71-11=60']\nExploring Operation: 68-30=38, Resulting Numbers: [60, 38]\nGenerated Node #0,1,0: 63:[60, 38] Operation: 68-30=38\nMoving to Node #0,1,0\nCurrent State: 63:[60, 38], Operations: ['71-11=60', '68-30=38']\nExploring Operation: 60+38=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 63:[60, 38], Operations: ['71-11=60', '68-30=38']\nExploring Operation: 60-38=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[30, 68, 60], Operations: ['71-11=60']\nExploring Operation: 30+60=90, Resulting Numbers: [68, 90]\nGenerated Node #0,1,1: 63:[68, 90] Operation: 30+60=90\nMoving to Node #0,1,1\nCurrent State: 63:[68, 90], Operations: ['71-11=60', '30+60=90']\nExploring Operation: 90-68=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[30, 68, 60], Operations: ['71-11=60']\nExploring Operation: 30+68=98, Resulting Numbers: [60, 98]\nGenerated Node #0,1,2: 63:[60, 98] Operation: 30+68=98\nMoving to Node #0,1,2\nCurrent State: 63:[60, 98], Operations: ['71-11=60', '30+68=98']\nExploring Operation: 98-60=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[30, 68, 60], Operations: ['71-11=60']\nExploring Operation: 60-30=30, Resulting Numbers: [68, 30]\nGenerated Node #0,1,3: 63:[68, 30] Operation: 60-30=30\nMoving to Node #0,1,3\nCurrent State: 63:[68, 30], Operations: ['71-11=60', '60-30=30']\nExploring Operation: 68-30=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 63:[68, 30], Operations: ['71-11=60', '60-30=30']\nExploring Operation: 68+30=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[30, 68, 60], Operations: ['71-11=60']\nExploring Operation: 60/30=2, Resulting Numbers: [68, 2]\nGenerated Node #0,1,4: 63:[68, 2] Operation: 60/30=2\nMoving to Node #0,1,4\nCurrent State: 63:[68, 2], Operations: ['71-11=60', '60/30=2']\nExploring Operation: 68-2=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 63:[68, 2], Operations: ['71-11=60', '60/30=2']\nExploring Operation: 68+2=70, Resulting Numbers: [70]\n70,63 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 63:[68, 2], Operations: ['71-11=60', '60/30=2']\nExploring Operation: 68/2=34, Resulting Numbers: [34]\n34,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[30, 68, 60], Operations: ['71-11=60']\nExploring Operation: 68-60=8, Resulting Numbers: [30, 8]\nGenerated Node #0,1,5: 63:[30, 8] Operation: 68-60=8\nMoving to Node #0,1,5\nCurrent State: 63:[30, 8], Operations: ['71-11=60', '68-60=8']\nExploring Operation: 30+8=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 63:[30, 8], Operations: ['71-11=60', '68-60=8']\nExploring Operation: 30-8=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[30, 68, 60], Operations: ['71-11=60']\nExploring Operation: 68+60=128, Resulting Numbers: [30, 128]\nGenerated Node #0,1,6: 63:[30, 128] Operation: 68+60=128\nMoving to Node #0,1,6\nCurrent State: 63:[30, 128], Operations: ['71-11=60', '68+60=128']\nExploring Operation: 128-30=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 68-11=57, Resulting Numbers: [71, 30, 57]\nGenerated Node #0,2: 63:[71, 30, 57] Operation: 68-11=57\nMoving to Node #0,2\nCurrent State: 63:[71, 30, 57], Operations: ['68-11=57']\nExploring Operation: 71-30=41, Resulting Numbers: [57, 41]\nGenerated Node #0,2,0: 63:[57, 41] Operation: 71-30=41\nMoving to Node #0,2,0\nCurrent State: 63:[57, 41], Operations: ['68-11=57', '71-30=41']\nExploring Operation: 57+41=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 63:[57, 41], Operations: ['68-11=57', '71-30=41']\nExploring Operation: 57-41=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[71, 30, 57], Operations: ['68-11=57']\nExploring Operation: 30+57=87, Resulting Numbers: [71, 87]\nGenerated Node #0,2,1: 63:[71, 87] Operation: 30+57=87\nMoving to Node #0,2,1\nCurrent State: 63:[71, 87], Operations: ['68-11=57', '30+57=87']\nExploring Operation: 87-71=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[71, 30, 57], Operations: ['68-11=57']\nExploring Operation: 71+30=101, Resulting Numbers: [57, 101]\nGenerated Node #0,2,2: 63:[57, 101] Operation: 71+30=101\nMoving to Node #0,2,2\nCurrent State: 63:[57, 101], Operations: ['68-11=57', '71+30=101']\nExploring Operation: 101-57=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[71, 30, 57], Operations: ['68-11=57']\nExploring Operation: 57-30=27, Resulting Numbers: [71, 27]\nGenerated Node #0,2,3: 63:[71, 27] Operation: 57-30=27\nMoving to Node #0,2,3\nCurrent State: 63:[71, 27], Operations: ['68-11=57', '57-30=27']\nExploring Operation: 71-27=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 63:[71, 27], Operations: ['68-11=57', '57-30=27']\nExploring Operation: 71+27=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[71, 30, 57], Operations: ['68-11=57']\nExploring Operation: 71-57=14, Resulting Numbers: [30, 14]\nGenerated Node #0,2,4: 63:[30, 14] Operation: 71-57=14\nMoving to Node #0,2,4\nCurrent State: 63:[30, 14], Operations: ['68-11=57', '71-57=14']\nExploring Operation: 30+14=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 63:[30, 14], Operations: ['68-11=57', '71-57=14']\nExploring Operation: 30-14=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[71, 30, 57], Operations: ['68-11=57']\nExploring Operation: 71+57=128, Resulting Numbers: [30, 128]\nGenerated Node #0,2,5: 63:[30, 128] Operation: 71+57=128\nMoving to Node #0,2,5\nCurrent State: 63:[30, 128], Operations: ['68-11=57', '71+57=128']\nExploring Operation: 128-30=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 71+11=82, Resulting Numbers: [30, 68, 82]\nGenerated Node #0,3: 63:[30, 68, 82] Operation: 71+11=82\nMoving to Node #0,3\nCurrent State: 63:[30, 68, 82], Operations: ['71+11=82']\nExploring Operation: 82-30=52, Resulting Numbers: [68, 52]\nGenerated Node #0,3,0: 63:[68, 52] Operation: 82-30=52\nMoving to Node #0,3,0\nCurrent State: 63:[68, 52], Operations: ['71+11=82', '82-30=52']\nExploring Operation: 68-52=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 63:[68, 52], Operations: ['71+11=82', '82-30=52']\nExploring Operation: 68+52=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[30, 68, 82], Operations: ['71+11=82']\nExploring Operation: 68-30=38, Resulting Numbers: [82, 38]\nGenerated Node #0,3,1: 63:[82, 38] Operation: 68-30=38\nMoving to Node #0,3,1\nCurrent State: 63:[82, 38], Operations: ['71+11=82', '68-30=38']\nExploring Operation: 82-38=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 63:[82, 38], Operations: ['71+11=82', '68-30=38']\nExploring Operation: 82+38=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[30, 68, 82], Operations: ['71+11=82']\nExploring Operation: 30+68=98, Resulting Numbers: [82, 98]\nGenerated Node #0,3,2: 63:[82, 98] Operation: 30+68=98\nMoving to Node #0,3,2\nCurrent State: 63:[82, 98], Operations: ['71+11=82', '30+68=98']\nExploring Operation: 98-82=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[30, 68, 82], Operations: ['71+11=82']\nExploring Operation: 30+82=112, Resulting Numbers: [68, 112]\nGenerated Node #0,3,3: 63:[68, 112] Operation: 30+82=112\nMoving to Node #0,3,3\nCurrent State: 63:[68, 112], Operations: ['71+11=82', '30+82=112']\nExploring Operation: 112-68=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[30, 68, 82], Operations: ['71+11=82']\nExploring Operation: 82-68=14, Resulting Numbers: [30, 14]\nGenerated Node #0,3,4: 63:[30, 14] Operation: 82-68=14\nMoving to Node #0,3,4\nCurrent State: 63:[30, 14], Operations: ['71+11=82', '82-68=14']\nExploring Operation: 30+14=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 63:[30, 14], Operations: ['71+11=82', '82-68=14']\nExploring Operation: 30-14=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[30, 68, 82], Operations: ['71+11=82']\nExploring Operation: 68+82=150, Resulting Numbers: [30, 150]\nGenerated Node #0,3,5: 63:[30, 150] Operation: 68+82=150\nMoving to Node #0,3,5\nCurrent State: 63:[30, 150], Operations: ['71+11=82', '68+82=150']\nExploring Operation: 150-30=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 63:[30, 150], Operations: ['71+11=82', '68+82=150']\nExploring Operation: 150/30=5, Resulting Numbers: [5]\n5,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 30-11=19, Resulting Numbers: [71, 68, 19]\nGenerated Node #0,4: 63:[71, 68, 19] Operation: 30-11=19\nMoving to Node #0,4\nCurrent State: 63:[71, 68, 19], Operations: ['30-11=19']\nExploring Operation: 71-19=52, Resulting Numbers: [68, 52]\nGenerated Node #0,4,0: 63:[68, 52] Operation: 71-19=52\nMoving to Node #0,4,0\nCurrent State: 63:[68, 52], Operations: ['30-11=19', '71-19=52']\nExploring Operation: 68-52=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 63:[68, 52], Operations: ['30-11=19', '71-19=52']\nExploring Operation: 68+52=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[71, 68, 19], Operations: ['30-11=19']\nExploring Operation: 68-19=49, Resulting Numbers: [71, 49]\nGenerated Node #0,4,1: 63:[71, 49] Operation: 68-19=49\nMoving to Node #0,4,1\nCurrent State: 63:[71, 49], Operations: ['30-11=19', '68-19=49']\nExploring Operation: 71-49=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 63:[71, 49], Operations: ['30-11=19', '68-19=49']\nExploring Operation: 71+49=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[71, 68, 19], Operations: ['30-11=19']\nExploring Operation: 71+19=90, Resulting Numbers: [68, 90]\nGenerated Node #0,4,2: 63:[68, 90] Operation: 71+19=90\nMoving to Node #0,4,2\nCurrent State: 63:[68, 90], Operations: ['30-11=19', '71+19=90']\nExploring Operation: 90-68=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[71, 68, 19], Operations: ['30-11=19']\nExploring Operation: 68+19=87, Resulting Numbers: [71, 87]\nGenerated Node #0,4,3: 63:[71, 87] Operation: 68+19=87\nMoving to Node #0,4,3\nCurrent State: 63:[71, 87], Operations: ['30-11=19', '68+19=87']\nExploring Operation: 87-71=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[71, 68, 19], Operations: ['30-11=19']\nExploring Operation: 71-68=3, Resulting Numbers: [19, 3]\nGenerated Node #0,4,4: 63:[19, 3] Operation: 71-68=3\nMoving to Node #0,4,4\nCurrent State: 63:[19, 3], Operations: ['30-11=19', '71-68=3']\nExploring Operation: 19*3=57, Resulting Numbers: [57]\n57,63 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 63:[19, 3], Operations: ['30-11=19', '71-68=3']\nExploring Operation: 19+3=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 63:[19, 3], Operations: ['30-11=19', '71-68=3']\nExploring Operation: 19-3=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[71, 68, 19], Operations: ['30-11=19']\nExploring Operation: 71+68=139, Resulting Numbers: [19, 139]\nGenerated Node #0,4,5: 63:[19, 139] Operation: 71+68=139\nMoving to Node #0,4,5\nCurrent State: 63:[19, 139], Operations: ['30-11=19', '71+68=139']\nExploring Operation: 139-19=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 68+11=79, Resulting Numbers: [71, 30, 79]\nGenerated Node #0,5: 63:[71, 30, 79] Operation: 68+11=79\nMoving to Node #0,5\nCurrent State: 63:[71, 30, 79], Operations: ['68+11=79']\nExploring Operation: 79-30=49, Resulting Numbers: [71, 49]\nGenerated Node #0,5,0: 63:[71, 49] Operation: 79-30=49\nMoving to Node #0,5,0\nCurrent State: 63:[71, 49], Operations: ['68+11=79', '79-30=49']\nExploring Operation: 71-49=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 63:[71, 49], Operations: ['68+11=79', '79-30=49']\nExploring Operation: 71+49=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[71, 30, 79], Operations: ['68+11=79']\nExploring Operation: 71-30=41, Resulting Numbers: [79, 41]\nGenerated Node #0,5,1: 63:[79, 41] Operation: 71-30=41\nMoving to Node #0,5,1\nCurrent State: 63:[79, 41], Operations: ['68+11=79', '71-30=41']\nExploring Operation: 79-41=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 63:[79, 41], Operations: ['68+11=79', '71-30=41']\nExploring Operation: 79+41=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[71, 30, 79], Operations: ['68+11=79']\nExploring Operation: 71+30=101, Resulting Numbers: [79, 101]\nGenerated Node #0,5,2: 63:[79, 101] Operation: 71+30=101\nMoving to Node #0,5,2\nCurrent State: 63:[79, 101], Operations: ['68+11=79', '71+30=101']\nExploring Operation: 101-79=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[71, 30, 79], Operations: ['68+11=79']\nExploring Operation: 30+79=109, Resulting Numbers: [71, 109]\nGenerated Node #0,5,3: 63:[71, 109] Operation: 30+79=109\nMoving to Node #0,5,3\nCurrent State: 63:[71, 109], Operations: ['68+11=79', '30+79=109']\nExploring Operation: 109-71=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[71, 30, 79], Operations: ['68+11=79']\nExploring Operation: 79-71=8, Resulting Numbers: [30, 8]\nGenerated Node #0,5,4: 63:[30, 8] Operation: 79-71=8\nMoving to Node #0,5,4\nCurrent State: 63:[30, 8], Operations: ['68+11=79', '79-71=8']\nExploring Operation: 30+8=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 63:[30, 8], Operations: ['68+11=79', '79-71=8']\nExploring Operation: 30-8=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[71, 30, 79], Operations: ['68+11=79']\nExploring Operation: 71+79=150, Resulting Numbers: [30, 150]\nGenerated Node #0,5,5: 63:[30, 150] Operation: 71+79=150\nMoving to Node #0,5,5\nCurrent State: 63:[30, 150], Operations: ['68+11=79', '71+79=150']\nExploring Operation: 150-30=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,5,5\nCurrent State: 63:[30, 150], Operations: ['68+11=79', '71+79=150']\nExploring Operation: 150/30=5, Resulting Numbers: [5]\n5,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 71-30=41, Resulting Numbers: [68, 11, 41]\nGenerated Node #0,6: 63:[68, 11, 41] Operation: 71-30=41\nMoving to Node #0,6\nCurrent State: 63:[68, 11, 41], Operations: ['71-30=41']\nExploring Operation: 11+41=52, Resulting Numbers: [68, 52]\nGenerated Node #0,6,0: 63:[68, 52] Operation: 11+41=52\nMoving to Node #0,6,0\nCurrent State: 63:[68, 52], Operations: ['71-30=41', '11+41=52']\nExploring Operation: 68-52=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 63:[68, 52], Operations: ['71-30=41', '11+41=52']\nExploring Operation: 68+52=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[68, 11, 41], Operations: ['71-30=41']\nExploring Operation: 68-11=57, Resulting Numbers: [41, 57]\nGenerated Node #0,6,1: 63:[41, 57] Operation: 68-11=57\nMoving to Node #0,6,1\nCurrent State: 63:[41, 57], Operations: ['71-30=41', '68-11=57']\nExploring Operation: 41+57=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 63:[41, 57], Operations: ['71-30=41', '68-11=57']\nExploring Operation: 57-41=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[68, 11, 41], Operations: ['71-30=41']\nExploring Operation: 68+11=79, Resulting Numbers: [41, 79]\nGenerated Node #0,6,2: 63:[41, 79] Operation: 68+11=79\nMoving to Node #0,6,2\nCurrent State: 63:[41, 79], Operations: ['71-30=41', '68+11=79']\nExploring Operation: 79-41=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 63:[41, 79], Operations: ['71-30=41', '68+11=79']\nExploring Operation: 41+79=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[68, 11, 41], Operations: ['71-30=41']\nExploring Operation: 41-11=30, Resulting Numbers: [68, 30]\nGenerated Node #0,6,3: 63:[68, 30] Operation: 41-11=30\nMoving to Node #0,6,3\nCurrent State: 63:[68, 30], Operations: ['71-30=41', '41-11=30']\nExploring Operation: 68-30=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 63:[68, 30], Operations: ['71-30=41', '41-11=30']\nExploring Operation: 68+30=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[68, 11, 41], Operations: ['71-30=41']\nExploring Operation: 68-41=27, Resulting Numbers: [11, 27]\nGenerated Node #0,6,4: 63:[11, 27] Operation: 68-41=27\nMoving to Node #0,6,4\nCurrent State: 63:[11, 27], Operations: ['71-30=41', '68-41=27']\nExploring Operation: 11+27=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 63:[11, 27], Operations: ['71-30=41', '68-41=27']\nExploring Operation: 27-11=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[68, 11, 41], Operations: ['71-30=41']\nExploring Operation: 68+41=109, Resulting Numbers: [11, 109]\nGenerated Node #0,6,5: 63:[11, 109] Operation: 68+41=109\nMoving to Node #0,6,5\nCurrent State: 63:[11, 109], Operations: ['71-30=41', '68+41=109']\nExploring Operation: 109-11=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 63:[11, 109], Operations: ['71-30=41', '68+41=109']\nExploring Operation: 11+109=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 68-30=38, Resulting Numbers: [71, 11, 38]\nGenerated Node #0,7: 63:[71, 11, 38] Operation: 68-30=38\nMoving to Node #0,7\nCurrent State: 63:[71, 11, 38], Operations: ['68-30=38']\nExploring Operation: 11+38=49, Resulting Numbers: [71, 49]\nGenerated Node #0,7,0: 63:[71, 49] Operation: 11+38=49\nMoving to Node #0,7,0\nCurrent State: 63:[71, 49], Operations: ['68-30=38', '11+38=49']\nExploring Operation: 71-49=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 63:[71, 49], Operations: ['68-30=38', '11+38=49']\nExploring Operation: 71+49=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[71, 11, 38], Operations: ['68-30=38']\nExploring Operation: 71-11=60, Resulting Numbers: [38, 60]\nGenerated Node #0,7,1: 63:[38, 60] Operation: 71-11=60\nMoving to Node #0,7,1\nCurrent State: 63:[38, 60], Operations: ['68-30=38', '71-11=60']\nExploring Operation: 38+60=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 63:[38, 60], Operations: ['68-30=38', '71-11=60']\nExploring Operation: 60-38=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[71, 11, 38], Operations: ['68-30=38']\nExploring Operation: 71+11=82, Resulting Numbers: [38, 82]\nGenerated Node #0,7,2: 63:[38, 82] Operation: 71+11=82\nMoving to Node #0,7,2\nCurrent State: 63:[38, 82], Operations: ['68-30=38', '71+11=82']\nExploring Operation: 82-38=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 63:[38, 82], Operations: ['68-30=38', '71+11=82']\nExploring Operation: 38+82=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[71, 11, 38], Operations: ['68-30=38']\nExploring Operation: 38-11=27, Resulting Numbers: [71, 27]\nGenerated Node #0,7,3: 63:[71, 27] Operation: 38-11=27\nMoving to Node #0,7,3\nCurrent State: 63:[71, 27], Operations: ['68-30=38', '38-11=27']\nExploring Operation: 71-27=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 63:[71, 27], Operations: ['68-30=38', '38-11=27']\nExploring Operation: 71+27=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[71, 11, 38], Operations: ['68-30=38']\nExploring Operation: 71-38=33, Resulting Numbers: [11, 33]\nGenerated Node #0,7,4: 63:[11, 33] Operation: 71-38=33\nMoving to Node #0,7,4\nCurrent State: 63:[11, 33], Operations: ['68-30=38', '71-38=33']\nExploring Operation: 11+33=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 63:[11, 33], Operations: ['68-30=38', '71-38=33']\nExploring Operation: 33-11=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 63:[11, 33], Operations: ['68-30=38', '71-38=33']\nExploring Operation: 33/11=3, Resulting Numbers: [3]\n3,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[71, 11, 38], Operations: ['68-30=38']\nExploring Operation: 71+38=109, Resulting Numbers: [11, 109]\nGenerated Node #0,7,5: 63:[11, 109] Operation: 71+38=109\nMoving to Node #0,7,5\nCurrent State: 63:[11, 109], Operations: ['68-30=38', '71+38=109']\nExploring Operation: 109-11=98, Resulting Numbers: [98]\n98,63 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 63:[11, 109], Operations: ['68-30=38', '71+38=109']\nExploring Operation: 11+109=120, Resulting Numbers: [120]\n120,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 71+30=101, Resulting Numbers: [68, 11, 101]\nGenerated Node #0,8: 63:[68, 11, 101] Operation: 71+30=101\nMoving to Node #0,8\nCurrent State: 63:[68, 11, 101], Operations: ['71+30=101']\nExploring Operation: 101-11=90, Resulting Numbers: [68, 90]\nGenerated Node #0,8,0: 63:[68, 90] Operation: 101-11=90\nMoving to Node #0,8,0\nCurrent State: 63:[68, 90], Operations: ['71+30=101', '101-11=90']\nExploring Operation: 90-68=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 63:[68, 11, 101], Operations: ['71+30=101']\nExploring Operation: 68-11=57, Resulting Numbers: [101, 57]\nGenerated Node #0,8,1: 63:[101, 57] Operation: 68-11=57\nMoving to Node #0,8,1\nCurrent State: 63:[101, 57], Operations: ['71+30=101', '68-11=57']\nExploring Operation: 101-57=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 63:[68, 11, 101], Operations: ['71+30=101']\nExploring Operation: 68+11=79, Resulting Numbers: [101, 79]\nGenerated Node #0,8,2: 63:[101, 79] Operation: 68+11=79\nMoving to Node #0,8,2\nCurrent State: 63:[101, 79], Operations: ['71+30=101', '68+11=79']\nExploring Operation: 101-79=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 63:[68, 11, 101], Operations: ['71+30=101']\nExploring Operation: 11+101=112, Resulting Numbers: [68, 112]\nGenerated Node #0,8,3: 63:[68, 112] Operation: 11+101=112\nMoving to Node #0,8,3\nCurrent State: 63:[68, 112], Operations: ['71+30=101', '11+101=112']\nExploring Operation: 112-68=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 63:[68, 11, 101], Operations: ['71+30=101']\nExploring Operation: 101-68=33, Resulting Numbers: [11, 33]\nGenerated Node #0,8,4: 63:[11, 33] Operation: 101-68=33\nMoving to Node #0,8,4\nCurrent State: 63:[11, 33], Operations: ['71+30=101', '101-68=33']\nExploring Operation: 11+33=44, Resulting Numbers: [44]\n44,63 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 63:[11, 33], Operations: ['71+30=101', '101-68=33']\nExploring Operation: 33-11=22, Resulting Numbers: [22]\n22,63 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 63:[11, 33], Operations: ['71+30=101', '101-68=33']\nExploring Operation: 33/11=3, Resulting Numbers: [3]\n3,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 30+68=98, Resulting Numbers: [71, 11, 98]\nGenerated Node #0,9: 63:[71, 11, 98] Operation: 30+68=98\nMoving to Node #0,9\nCurrent State: 63:[71, 11, 98], Operations: ['30+68=98']\nExploring Operation: 98-11=87, Resulting Numbers: [71, 87]\nGenerated Node #0,9,0: 63:[71, 87] Operation: 98-11=87\nMoving to Node #0,9,0\nCurrent State: 63:[71, 87], Operations: ['30+68=98', '98-11=87']\nExploring Operation: 87-71=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 63:[71, 11, 98], Operations: ['30+68=98']\nExploring Operation: 71-11=60, Resulting Numbers: [98, 60]\nGenerated Node #0,9,1: 63:[98, 60] Operation: 71-11=60\nMoving to Node #0,9,1\nCurrent State: 63:[98, 60], Operations: ['30+68=98', '71-11=60']\nExploring Operation: 98-60=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 63:[71, 11, 98], Operations: ['30+68=98']\nExploring Operation: 71+11=82, Resulting Numbers: [98, 82]\nGenerated Node #0,9,2: 63:[98, 82] Operation: 71+11=82\nMoving to Node #0,9,2\nCurrent State: 63:[98, 82], Operations: ['30+68=98', '71+11=82']\nExploring Operation: 98-82=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 63:[71, 11, 98], Operations: ['30+68=98']\nExploring Operation: 11+98=109, Resulting Numbers: [71, 109]\nGenerated Node #0,9,3: 63:[71, 109] Operation: 11+98=109\nMoving to Node #0,9,3\nCurrent State: 63:[71, 109], Operations: ['30+68=98', '11+98=109']\nExploring Operation: 109-71=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 63:[71, 11, 98], Operations: ['30+68=98']\nExploring Operation: 98-71=27, Resulting Numbers: [11, 27]\nGenerated Node #0,9,4: 63:[11, 27] Operation: 98-71=27\nMoving to Node #0,9,4\nCurrent State: 63:[11, 27], Operations: ['30+68=98', '98-71=27']\nExploring Operation: 11+27=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 63:[11, 27], Operations: ['30+68=98', '98-71=27']\nExploring Operation: 27-11=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[71, 30, 68, 11], Operations: []\nExploring Operation: 71-68=3, Resulting Numbers: [30, 11, 3]\nGenerated Node #0,10: 63:[30, 11, 3] Operation: 71-68=3\nMoving to Node #0,10\nCurrent State: 63:[30, 11, 3], Operations: ['71-68=3']\nExploring Operation: 11*3=33, Resulting Numbers: [30, 33]\nGenerated Node #0,10,0: 63:[30, 33] Operation: 11*3=33\nMoving to Node #0,10,0\nCurrent State: 63:[30, 33], Operations: ['71-68=3', '11*3=33']\nExploring Operation: 30+33=63, Resulting Numbers: [63]\n63,63 equal: Goal Reached\n", "role": "assistant" } ]
[ 45, 20, 24, 1 ]
40
[ "45+20=65", "24+1=25", "65-25=40" ]
Current State: 40:[45, 20, 24, 1], Operations: [] Exploring Operation: 45-1=44, Resulting Numbers: [20, 24, 44] Generated Node #0,0: 40:[20, 24, 44] Operation: 45-1=44 Moving to Node #0,0 Current State: 40:[20, 24, 44], Operations: ['45-1=44'] Exploring Operation: 20+24=44, Resulting Numbers: [44, 44] Generated Node #0,0,0: 40:[44, 44] Operation: 20+24=44 Moving to Node #0,0,0 Current State: 40:[44, 44], Operations: ['45-1=44', '20+24=44'] Exploring Operation: 44/44=1, Resulting Numbers: [1] 1,40 unequal: No Solution Moving to Node #0,0,0 Current State: 40:[44, 44], Operations: ['45-1=44', '20+24=44'] Exploring Operation: 44-44=0, Resulting Numbers: [0] 0,40 unequal: No Solution Moving to Node #0,0 Current State: 40:[20, 24, 44], Operations: ['45-1=44'] Exploring Operation: 44-20=24, Resulting Numbers: [24, 24] Generated Node #0,0,1: 40:[24, 24] Operation: 44-20=24 Moving to Node #0,0,1 Current State: 40:[24, 24], Operations: ['45-1=44', '44-20=24'] Exploring Operation: 24+24=48, Resulting Numbers: [48] 48,40 unequal: No Solution Moving to Node #0,0,1 Current State: 40:[24, 24], Operations: ['45-1=44', '44-20=24'] Exploring Operation: 24/24=1, Resulting Numbers: [1] 1,40 unequal: No Solution Moving to Node #0,0,1 Current State: 40:[24, 24], Operations: ['45-1=44', '44-20=24'] Exploring Operation: 24-24=0, Resulting Numbers: [0] 0,40 unequal: No Solution Moving to Node #0,0 Current State: 40:[20, 24, 44], Operations: ['45-1=44'] Exploring Operation: 24-20=4, Resulting Numbers: [44, 4] Generated Node #0,0,2: 40:[44, 4] Operation: 24-20=4 Moving to Node #0,0,2 Current State: 40:[44, 4], Operations: ['45-1=44', '24-20=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
0.990451
dfs
Current State: 40:[45, 20, 24, 1], Operations: [] Exploring Operation: 45+20=65, Resulting Numbers: [24, 1, 65] Generated Node #2: [24, 1, 65] from Operation: 45+20=65 Current State: 40:[24, 1, 65], Operations: ['45+20=65'] Exploring Operation: 24+1=25, Resulting Numbers: [65, 25] Generated Node #3: [65, 25] from Operation: 24+1=25 Current State: 40:[65, 25], Operations: ['45+20=65', '24+1=25'] Exploring Operation: 65-25=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
sum_heuristic
[ { "content": "Make 40 with the numbers [45, 20, 24, 1] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 40:[45, 20, 24, 1], Operations: []\nExploring Operation: 45-1=44, Resulting Numbers: [20, 24, 44]\nGenerated Node #0,0: 40:[20, 24, 44] Operation: 45-1=44\nMoving to Node #0,0\nCurrent State: 40:[20, 24, 44], Operations: ['45-1=44']\nExploring Operation: 20+24=44, Resulting Numbers: [44, 44]\nGenerated Node #0,0,0: 40:[44, 44] Operation: 20+24=44\nMoving to Node #0,0,0\nCurrent State: 40:[44, 44], Operations: ['45-1=44', '20+24=44']\nExploring Operation: 44/44=1, Resulting Numbers: [1]\n1,40 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 40:[44, 44], Operations: ['45-1=44', '20+24=44']\nExploring Operation: 44-44=0, Resulting Numbers: [0]\n0,40 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 40:[20, 24, 44], Operations: ['45-1=44']\nExploring Operation: 44-20=24, Resulting Numbers: [24, 24]\nGenerated Node #0,0,1: 40:[24, 24] Operation: 44-20=24\nMoving to Node #0,0,1\nCurrent State: 40:[24, 24], Operations: ['45-1=44', '44-20=24']\nExploring Operation: 24+24=48, Resulting Numbers: [48]\n48,40 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 40:[24, 24], Operations: ['45-1=44', '44-20=24']\nExploring Operation: 24/24=1, Resulting Numbers: [1]\n1,40 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 40:[24, 24], Operations: ['45-1=44', '44-20=24']\nExploring Operation: 24-24=0, Resulting Numbers: [0]\n0,40 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 40:[20, 24, 44], Operations: ['45-1=44']\nExploring Operation: 24-20=4, Resulting Numbers: [44, 4]\nGenerated Node #0,0,2: 40:[44, 4] Operation: 24-20=4\nMoving to Node #0,0,2\nCurrent State: 40:[44, 4], Operations: ['45-1=44', '24-20=4']\nExploring Operation: 44-4=40, Resulting Numbers: [40]\n40,40 equal: Goal Reached\n", "role": "assistant" } ]
[ 52, 49, 32, 25 ]
45
[ "32-25=7", "49/7=7", "52-7=45" ]
Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 32+25=57, Resulting Numbers: [52, 49, 57] Generated Node #0,0: 45:[52, 49, 57] Operation: 32+25=57 Moving to Node #0,0 Current State: 45:[52, 49, 57], Operations: ['32+25=57'] Exploring Operation: 57-52=5, Resulting Numbers: [49, 5] Generated Node #0,0,0: 45:[49, 5] Operation: 57-52=5 Moving to Node #0,0,0 Current State: 45:[49, 5], Operations: ['32+25=57', '57-52=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[49, 5], Operations: ['32+25=57', '57-52=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[52, 49, 57], Operations: ['32+25=57'] Exploring Operation: 57-49=8, Resulting Numbers: [52, 8] Generated Node #0,0,1: 45:[52, 8] Operation: 57-49=8 Moving to Node #0,0,1 Current State: 45:[52, 8], Operations: ['32+25=57', '57-49=8'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,0,1 Current State: 45:[52, 8], Operations: ['32+25=57', '57-49=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[52, 49, 57], Operations: ['32+25=57'] Exploring Operation: 52-49=3, Resulting Numbers: [57, 3] Generated Node #0,0,2: 45:[57, 3] Operation: 52-49=3 Moving to Node #0,0,2 Current State: 45:[57, 3], Operations: ['32+25=57', '52-49=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[57, 3], Operations: ['32+25=57', '52-49=3'] Exploring Operation: 57+3=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[57, 3], Operations: ['32+25=57', '52-49=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[52, 49, 57], Operations: ['32+25=57'] Exploring Operation: 52+49=101, Resulting Numbers: [57, 101] Generated Node #0,0,3: 45:[57, 101] Operation: 52+49=101 Moving to Node #0,0,3 Current State: 45:[57, 101], Operations: ['32+25=57', '52+49=101'] Exploring Operation: 101-57=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[52, 49, 57], Operations: ['32+25=57'] Exploring Operation: 52+57=109, Resulting Numbers: [49, 109] Generated Node #0,0,4: 45:[49, 109] Operation: 52+57=109 Moving to Node #0,0,4 Current State: 45:[49, 109], Operations: ['32+25=57', '52+57=109'] Exploring Operation: 109-49=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[52, 49, 57], Operations: ['32+25=57'] Exploring Operation: 49+57=106, Resulting Numbers: [52, 106] Generated Node #0,0,5: 45:[52, 106] Operation: 49+57=106 Moving to Node #0,0,5 Current State: 45:[52, 106], Operations: ['32+25=57', '49+57=106'] Exploring Operation: 106-52=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0 Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 52-25=27, Resulting Numbers: [49, 32, 27] Generated Node #0,1: 45:[49, 32, 27] Operation: 52-25=27 Moving to Node #0,1 Current State: 45:[49, 32, 27], Operations: ['52-25=27'] Exploring Operation: 32+27=59, Resulting Numbers: [49, 59] Generated Node #0,1,0: 45:[49, 59] Operation: 32+27=59 Moving to Node #0,1,0 Current State: 45:[49, 59], Operations: ['52-25=27', '32+27=59'] Exploring Operation: 59-49=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[49, 32, 27], Operations: ['52-25=27'] Exploring Operation: 49-27=22, Resulting Numbers: [32, 22] Generated Node #0,1,1: 45:[32, 22] Operation: 49-27=22 Moving to Node #0,1,1 Current State: 45:[32, 22], Operations: ['52-25=27', '49-27=22'] Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,1,1 Current State: 45:[32, 22], Operations: ['52-25=27', '49-27=22'] Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[49, 32, 27], Operations: ['52-25=27'] Exploring Operation: 49+27=76, Resulting Numbers: [32, 76] Generated Node #0,1,2: 45:[32, 76] Operation: 49+27=76 Moving to Node #0,1,2 Current State: 45:[32, 76], Operations: ['52-25=27', '49+27=76'] Exploring Operation: 76-32=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[49, 32, 27], Operations: ['52-25=27'] Exploring Operation: 32-27=5, Resulting Numbers: [49, 5] Generated Node #0,1,3: 45:[49, 5] Operation: 32-27=5 Moving to Node #0,1,3 Current State: 45:[49, 5], Operations: ['52-25=27', '32-27=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,1,3 Current State: 45:[49, 5], Operations: ['52-25=27', '32-27=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[49, 32, 27], Operations: ['52-25=27'] Exploring Operation: 49-32=17, Resulting Numbers: [27, 17] Generated Node #0,1,4: 45:[27, 17] Operation: 49-32=17 Moving to Node #0,1,4 Current State: 45:[27, 17], Operations: ['52-25=27', '49-32=17'] Exploring Operation: 27+17=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,1,4 Current State: 45:[27, 17], Operations: ['52-25=27', '49-32=17'] Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[49, 32, 27], Operations: ['52-25=27'] Exploring Operation: 49+32=81, Resulting Numbers: [27, 81] Generated Node #0,1,5: 45:[27, 81] Operation: 49+32=81 Moving to Node #0,1,5 Current State: 45:[27, 81], Operations: ['52-25=27', '49+32=81'] Exploring Operation: 81-27=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,1,5 Current State: 45:[27, 81], Operations: ['52-25=27', '49+32=81'] Exploring Operation: 81/27=3, Resulting Numbers: [3] 3,45 unequal: No Solution Moving to Node #0 Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [52, 32, 24] Generated Node #0,2: 45:[52, 32, 24] Operation: 49-25=24 Moving to Node #0,2 Current State: 45:[52, 32, 24], Operations: ['49-25=24'] Exploring Operation: 32+24=56, Resulting Numbers: [52, 56] Generated Node #0,2,0: 45:[52, 56] Operation: 32+24=56 Moving to Node #0,2,0 Current State: 45:[52, 56], Operations: ['49-25=24', '32+24=56'] Exploring Operation: 56-52=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[52, 32, 24], Operations: ['49-25=24'] Exploring Operation: 52-24=28, Resulting Numbers: [32, 28] Generated Node #0,2,1: 45:[32, 28] Operation: 52-24=28 Moving to Node #0,2,1 Current State: 45:[32, 28], Operations: ['49-25=24', '52-24=28'] Exploring Operation: 32+28=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[32, 28], Operations: ['49-25=24', '52-24=28'] Exploring Operation: 32-28=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[52, 32, 24], Operations: ['49-25=24'] Exploring Operation: 52+24=76, Resulting Numbers: [32, 76] Generated Node #0,2,2: 45:[32, 76] Operation: 52+24=76 Moving to Node #0,2,2 Current State: 45:[32, 76], Operations: ['49-25=24', '52+24=76'] Exploring Operation: 76-32=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[52, 32, 24], Operations: ['49-25=24'] Exploring Operation: 32-24=8, Resulting Numbers: [52, 8] Generated Node #0,2,3: 45:[52, 8] Operation: 32-24=8 Moving to Node #0,2,3 Current State: 45:[52, 8], Operations: ['49-25=24', '32-24=8'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,2,3 Current State: 45:[52, 8], Operations: ['49-25=24', '32-24=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[52, 32, 24], Operations: ['49-25=24'] Exploring Operation: 52-32=20, Resulting Numbers: [24, 20] Generated Node #0,2,4: 45:[24, 20] Operation: 52-32=20 Moving to Node #0,2,4 Current State: 45:[24, 20], Operations: ['49-25=24', '52-32=20'] Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,2,4 Current State: 45:[24, 20], Operations: ['49-25=24', '52-32=20'] Exploring Operation: 24-20=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[52, 32, 24], Operations: ['49-25=24'] Exploring Operation: 52+32=84, Resulting Numbers: [24, 84] Generated Node #0,2,5: 45:[24, 84] Operation: 52+32=84 Moving to Node #0,2,5 Current State: 45:[24, 84], Operations: ['49-25=24', '52+32=84'] Exploring Operation: 84-24=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0 Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 52-32=20, Resulting Numbers: [49, 25, 20] Generated Node #0,3: 45:[49, 25, 20] Operation: 52-32=20 Moving to Node #0,3 Current State: 45:[49, 25, 20], Operations: ['52-32=20'] Exploring Operation: 25+20=45, Resulting Numbers: [49, 45] Generated Node #0,3,0: 45:[49, 45] Operation: 25+20=45 Moving to Node #0,3,0 Current State: 45:[49, 45], Operations: ['52-32=20', '25+20=45'] Exploring Operation: 49-45=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[49, 25, 20], Operations: ['52-32=20'] Exploring Operation: 49-20=29, Resulting Numbers: [25, 29] Generated Node #0,3,1: 45:[25, 29] Operation: 49-20=29 Moving to Node #0,3,1 Current State: 45:[25, 29], Operations: ['52-32=20', '49-20=29'] Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,3,1 Current State: 45:[25, 29], Operations: ['52-32=20', '49-20=29'] Exploring Operation: 29-25=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[49, 25, 20], Operations: ['52-32=20'] Exploring Operation: 49+20=69, Resulting Numbers: [25, 69] Generated Node #0,3,2: 45:[25, 69] Operation: 49+20=69 Moving to Node #0,3,2 Current State: 45:[25, 69], Operations: ['52-32=20', '49+20=69'] Exploring Operation: 69-25=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[49, 25, 20], Operations: ['52-32=20'] Exploring Operation: 25-20=5, Resulting Numbers: [49, 5] Generated Node #0,3,3: 45:[49, 5] Operation: 25-20=5 Moving to Node #0,3,3 Current State: 45:[49, 5], Operations: ['52-32=20', '25-20=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,3,3 Current State: 45:[49, 5], Operations: ['52-32=20', '25-20=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[49, 25, 20], Operations: ['52-32=20'] Exploring Operation: 49-25=24, Resulting Numbers: [20, 24] Generated Node #0,3,4: 45:[20, 24] Operation: 49-25=24 Moving to Node #0,3,4 Current State: 45:[20, 24], Operations: ['52-32=20', '49-25=24'] Exploring Operation: 20+24=44, Resulting Numbers: [44] 44,45 unequal: No Solution Moving to Node #0,3,4 Current State: 45:[20, 24], Operations: ['52-32=20', '49-25=24'] Exploring Operation: 24-20=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[49, 25, 20], Operations: ['52-32=20'] Exploring Operation: 49+25=74, Resulting Numbers: [20, 74] Generated Node #0,3,5: 45:[20, 74] Operation: 49+25=74 Moving to Node #0,3,5 Current State: 45:[20, 74], Operations: ['52-32=20', '49+25=74'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0 Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 52+25=77, Resulting Numbers: [49, 32, 77] Generated Node #0,4: 45:[49, 32, 77] Operation: 52+25=77 Moving to Node #0,4 Current State: 45:[49, 32, 77], Operations: ['52+25=77'] Exploring Operation: 77-32=45, Resulting Numbers: [49, 45] Generated Node #0,4,0: 45:[49, 45] Operation: 77-32=45 Moving to Node #0,4,0 Current State: 45:[49, 45], Operations: ['52+25=77', '77-32=45'] Exploring Operation: 49-45=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[49, 32, 77], Operations: ['52+25=77'] Exploring Operation: 77-49=28, Resulting Numbers: [32, 28] Generated Node #0,4,1: 45:[32, 28] Operation: 77-49=28 Moving to Node #0,4,1 Current State: 45:[32, 28], Operations: ['52+25=77', '77-49=28'] Exploring Operation: 32+28=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,4,1 Current State: 45:[32, 28], Operations: ['52+25=77', '77-49=28'] Exploring Operation: 32-28=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[49, 32, 77], Operations: ['52+25=77'] Exploring Operation: 49-32=17, Resulting Numbers: [77, 17] Generated Node #0,4,2: 45:[77, 17] Operation: 49-32=17 Moving to Node #0,4,2 Current State: 45:[77, 17], Operations: ['52+25=77', '49-32=17'] Exploring Operation: 77-17=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[49, 32, 77], Operations: ['52+25=77'] Exploring Operation: 49+32=81, Resulting Numbers: [77, 81] Generated Node #0,4,3: 45:[77, 81] Operation: 49+32=81 Moving to Node #0,4,3 Current State: 45:[77, 81], Operations: ['52+25=77', '49+32=81'] Exploring Operation: 81-77=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[49, 32, 77], Operations: ['52+25=77'] Exploring Operation: 32+77=109, Resulting Numbers: [49, 109] Generated Node #0,4,4: 45:[49, 109] Operation: 32+77=109 Moving to Node #0,4,4 Current State: 45:[49, 109], Operations: ['52+25=77', '32+77=109'] Exploring Operation: 109-49=60, Resulting Numbers: [60] 60,45 unequal: No Solution Moving to Node #0 Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 49+25=74, Resulting Numbers: [52, 32, 74] Generated Node #0,5: 45:[52, 32, 74] Operation: 49+25=74 Moving to Node #0,5 Current State: 45:[52, 32, 74], Operations: ['49+25=74'] Exploring Operation: 74-32=42, Resulting Numbers: [52, 42] Generated Node #0,5,0: 45:[52, 42] Operation: 74-32=42 Moving to Node #0,5,0 Current State: 45:[52, 42], Operations: ['49+25=74', '74-32=42'] Exploring Operation: 52-42=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[52, 32, 74], Operations: ['49+25=74'] Exploring Operation: 74-52=22, Resulting Numbers: [32, 22] Generated Node #0,5,1: 45:[32, 22] Operation: 74-52=22 Moving to Node #0,5,1 Current State: 45:[32, 22], Operations: ['49+25=74', '74-52=22'] Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,5,1 Current State: 45:[32, 22], Operations: ['49+25=74', '74-52=22'] Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[52, 32, 74], Operations: ['49+25=74'] Exploring Operation: 52-32=20, Resulting Numbers: [74, 20] Generated Node #0,5,2: 45:[74, 20] Operation: 52-32=20 Moving to Node #0,5,2 Current State: 45:[74, 20], Operations: ['49+25=74', '52-32=20'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[52, 32, 74], Operations: ['49+25=74'] Exploring Operation: 52+32=84, Resulting Numbers: [74, 84] Generated Node #0,5,3: 45:[74, 84] Operation: 52+32=84 Moving to Node #0,5,3 Current State: 45:[74, 84], Operations: ['49+25=74', '52+32=84'] Exploring Operation: 84-74=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[52, 32, 74], Operations: ['49+25=74'] Exploring Operation: 32+74=106, Resulting Numbers: [52, 106] Generated Node #0,5,4: 45:[52, 106] Operation: 32+74=106 Moving to Node #0,5,4 Current State: 45:[52, 106], Operations: ['49+25=74', '32+74=106'] Exploring Operation: 106-52=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0 Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [52, 49, 7] Generated Node #0,6: 45:[52, 49, 7] Operation: 32-25=7 Moving to Node #0,6 Current State: 45:[52, 49, 7], Operations: ['32-25=7'] Exploring Operation: 52-7=45, Resulting Numbers: [49, 45] Generated Node #0,6,0: 45:[49, 45] Operation: 52-7=45 Moving to Node #0,6,0 Current State: 45:[49, 45], Operations: ['32-25=7', '52-7=45'] Exploring Operation: 49-45=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,6 Current State: 45:[52, 49, 7], Operations: ['32-25=7'] Exploring Operation: 49-7=42, Resulting Numbers: [52, 42] Generated Node #0,6,1: 45:[52, 42] Operation: 49-7=42 Moving to Node #0,6,1 Current State: 45:[52, 42], Operations: ['32-25=7', '49-7=42'] Exploring Operation: 52-42=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,6 Current State: 45:[52, 49, 7], Operations: ['32-25=7'] Exploring Operation: 52+7=59, Resulting Numbers: [49, 59] Generated Node #0,6,2: 45:[49, 59] Operation: 52+7=59 Moving to Node #0,6,2 Current State: 45:[49, 59], Operations: ['32-25=7', '52+7=59'] Exploring Operation: 59-49=10, Resulting Numbers: [10] 10,45 unequal: No Solution Moving to Node #0,6 Current State: 45:[52, 49, 7], Operations: ['32-25=7'] Exploring Operation: 49+7=56, Resulting Numbers: [52, 56] Generated Node #0,6,3: 45:[52, 56] Operation: 49+7=56 Moving to Node #0,6,3 Current State: 45:[52, 56], Operations: ['32-25=7', '49+7=56'] Exploring Operation: 56-52=4, Resulting Numbers: [4] 4,45 unequal: No Solution Moving to Node #0,6 Current State: 45:[52, 49, 7], Operations: ['32-25=7'] Exploring Operation: 49/7=7, Resulting Numbers: [52, 7] Generated Node #0,6,4: 45:[52, 7] Operation: 49/7=7 Moving to Node #0,6,4 Current State: 45:[52, 7], Operations: ['32-25=7', '49/7=7'] Exploring Operation: 52-7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
0.911458
dfs
Current State: 45:[52, 49, 32, 25], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [52, 49, 7] Generated Node #2: [52, 49, 7] from Operation: 32-25=7 Current State: 45:[52, 49, 7], Operations: ['32-25=7'] Exploring Operation: 49/7=7, Resulting Numbers: [52, 7] Generated Node #3: [52, 7] from Operation: 49/7=7 Current State: 45:[52, 7], Operations: ['32-25=7', '49/7=7'] Exploring Operation: 52-7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
sum_heuristic
[ { "content": "Make 45 with the numbers [52, 49, 32, 25] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 45:[52, 49, 32, 25], Operations: []\nExploring Operation: 32+25=57, Resulting Numbers: [52, 49, 57]\nGenerated Node #0,0: 45:[52, 49, 57] Operation: 32+25=57\nMoving to Node #0,0\nCurrent State: 45:[52, 49, 57], Operations: ['32+25=57']\nExploring Operation: 57-52=5, Resulting Numbers: [49, 5]\nGenerated Node #0,0,0: 45:[49, 5] Operation: 57-52=5\nMoving to Node #0,0,0\nCurrent State: 45:[49, 5], Operations: ['32+25=57', '57-52=5']\nExploring Operation: 49-5=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 45:[49, 5], Operations: ['32+25=57', '57-52=5']\nExploring Operation: 49+5=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[52, 49, 57], Operations: ['32+25=57']\nExploring Operation: 57-49=8, Resulting Numbers: [52, 8]\nGenerated Node #0,0,1: 45:[52, 8] Operation: 57-49=8\nMoving to Node #0,0,1\nCurrent State: 45:[52, 8], Operations: ['32+25=57', '57-49=8']\nExploring Operation: 52-8=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 45:[52, 8], Operations: ['32+25=57', '57-49=8']\nExploring Operation: 52+8=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[52, 49, 57], Operations: ['32+25=57']\nExploring Operation: 52-49=3, Resulting Numbers: [57, 3]\nGenerated Node #0,0,2: 45:[57, 3] Operation: 52-49=3\nMoving to Node #0,0,2\nCurrent State: 45:[57, 3], Operations: ['32+25=57', '52-49=3']\nExploring Operation: 57-3=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 45:[57, 3], Operations: ['32+25=57', '52-49=3']\nExploring Operation: 57+3=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 45:[57, 3], Operations: ['32+25=57', '52-49=3']\nExploring Operation: 57/3=19, Resulting Numbers: [19]\n19,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[52, 49, 57], Operations: ['32+25=57']\nExploring Operation: 52+49=101, Resulting Numbers: [57, 101]\nGenerated Node #0,0,3: 45:[57, 101] Operation: 52+49=101\nMoving to Node #0,0,3\nCurrent State: 45:[57, 101], Operations: ['32+25=57', '52+49=101']\nExploring Operation: 101-57=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[52, 49, 57], Operations: ['32+25=57']\nExploring Operation: 52+57=109, Resulting Numbers: [49, 109]\nGenerated Node #0,0,4: 45:[49, 109] Operation: 52+57=109\nMoving to Node #0,0,4\nCurrent State: 45:[49, 109], Operations: ['32+25=57', '52+57=109']\nExploring Operation: 109-49=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[52, 49, 57], Operations: ['32+25=57']\nExploring Operation: 49+57=106, Resulting Numbers: [52, 106]\nGenerated Node #0,0,5: 45:[52, 106] Operation: 49+57=106\nMoving to Node #0,0,5\nCurrent State: 45:[52, 106], Operations: ['32+25=57', '49+57=106']\nExploring Operation: 106-52=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[52, 49, 32, 25], Operations: []\nExploring Operation: 52-25=27, Resulting Numbers: [49, 32, 27]\nGenerated Node #0,1: 45:[49, 32, 27] Operation: 52-25=27\nMoving to Node #0,1\nCurrent State: 45:[49, 32, 27], Operations: ['52-25=27']\nExploring Operation: 32+27=59, Resulting Numbers: [49, 59]\nGenerated Node #0,1,0: 45:[49, 59] Operation: 32+27=59\nMoving to Node #0,1,0\nCurrent State: 45:[49, 59], Operations: ['52-25=27', '32+27=59']\nExploring Operation: 59-49=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[49, 32, 27], Operations: ['52-25=27']\nExploring Operation: 49-27=22, Resulting Numbers: [32, 22]\nGenerated Node #0,1,1: 45:[32, 22] Operation: 49-27=22\nMoving to Node #0,1,1\nCurrent State: 45:[32, 22], Operations: ['52-25=27', '49-27=22']\nExploring Operation: 32+22=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 45:[32, 22], Operations: ['52-25=27', '49-27=22']\nExploring Operation: 32-22=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[49, 32, 27], Operations: ['52-25=27']\nExploring Operation: 49+27=76, Resulting Numbers: [32, 76]\nGenerated Node #0,1,2: 45:[32, 76] Operation: 49+27=76\nMoving to Node #0,1,2\nCurrent State: 45:[32, 76], Operations: ['52-25=27', '49+27=76']\nExploring Operation: 76-32=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[49, 32, 27], Operations: ['52-25=27']\nExploring Operation: 32-27=5, Resulting Numbers: [49, 5]\nGenerated Node #0,1,3: 45:[49, 5] Operation: 32-27=5\nMoving to Node #0,1,3\nCurrent State: 45:[49, 5], Operations: ['52-25=27', '32-27=5']\nExploring Operation: 49-5=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 45:[49, 5], Operations: ['52-25=27', '32-27=5']\nExploring Operation: 49+5=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[49, 32, 27], Operations: ['52-25=27']\nExploring Operation: 49-32=17, Resulting Numbers: [27, 17]\nGenerated Node #0,1,4: 45:[27, 17] Operation: 49-32=17\nMoving to Node #0,1,4\nCurrent State: 45:[27, 17], Operations: ['52-25=27', '49-32=17']\nExploring Operation: 27+17=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 45:[27, 17], Operations: ['52-25=27', '49-32=17']\nExploring Operation: 27-17=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[49, 32, 27], Operations: ['52-25=27']\nExploring Operation: 49+32=81, Resulting Numbers: [27, 81]\nGenerated Node #0,1,5: 45:[27, 81] Operation: 49+32=81\nMoving to Node #0,1,5\nCurrent State: 45:[27, 81], Operations: ['52-25=27', '49+32=81']\nExploring Operation: 81-27=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 45:[27, 81], Operations: ['52-25=27', '49+32=81']\nExploring Operation: 81/27=3, Resulting Numbers: [3]\n3,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[52, 49, 32, 25], Operations: []\nExploring Operation: 49-25=24, Resulting Numbers: [52, 32, 24]\nGenerated Node #0,2: 45:[52, 32, 24] Operation: 49-25=24\nMoving to Node #0,2\nCurrent State: 45:[52, 32, 24], Operations: ['49-25=24']\nExploring Operation: 32+24=56, Resulting Numbers: [52, 56]\nGenerated Node #0,2,0: 45:[52, 56] Operation: 32+24=56\nMoving to Node #0,2,0\nCurrent State: 45:[52, 56], Operations: ['49-25=24', '32+24=56']\nExploring Operation: 56-52=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[52, 32, 24], Operations: ['49-25=24']\nExploring Operation: 52-24=28, Resulting Numbers: [32, 28]\nGenerated Node #0,2,1: 45:[32, 28] Operation: 52-24=28\nMoving to Node #0,2,1\nCurrent State: 45:[32, 28], Operations: ['49-25=24', '52-24=28']\nExploring Operation: 32+28=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 45:[32, 28], Operations: ['49-25=24', '52-24=28']\nExploring Operation: 32-28=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[52, 32, 24], Operations: ['49-25=24']\nExploring Operation: 52+24=76, Resulting Numbers: [32, 76]\nGenerated Node #0,2,2: 45:[32, 76] Operation: 52+24=76\nMoving to Node #0,2,2\nCurrent State: 45:[32, 76], Operations: ['49-25=24', '52+24=76']\nExploring Operation: 76-32=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[52, 32, 24], Operations: ['49-25=24']\nExploring Operation: 32-24=8, Resulting Numbers: [52, 8]\nGenerated Node #0,2,3: 45:[52, 8] Operation: 32-24=8\nMoving to Node #0,2,3\nCurrent State: 45:[52, 8], Operations: ['49-25=24', '32-24=8']\nExploring Operation: 52-8=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 45:[52, 8], Operations: ['49-25=24', '32-24=8']\nExploring Operation: 52+8=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[52, 32, 24], Operations: ['49-25=24']\nExploring Operation: 52-32=20, Resulting Numbers: [24, 20]\nGenerated Node #0,2,4: 45:[24, 20] Operation: 52-32=20\nMoving to Node #0,2,4\nCurrent State: 45:[24, 20], Operations: ['49-25=24', '52-32=20']\nExploring Operation: 24+20=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 45:[24, 20], Operations: ['49-25=24', '52-32=20']\nExploring Operation: 24-20=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[52, 32, 24], Operations: ['49-25=24']\nExploring Operation: 52+32=84, Resulting Numbers: [24, 84]\nGenerated Node #0,2,5: 45:[24, 84] Operation: 52+32=84\nMoving to Node #0,2,5\nCurrent State: 45:[24, 84], Operations: ['49-25=24', '52+32=84']\nExploring Operation: 84-24=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[52, 49, 32, 25], Operations: []\nExploring Operation: 52-32=20, Resulting Numbers: [49, 25, 20]\nGenerated Node #0,3: 45:[49, 25, 20] Operation: 52-32=20\nMoving to Node #0,3\nCurrent State: 45:[49, 25, 20], Operations: ['52-32=20']\nExploring Operation: 25+20=45, Resulting Numbers: [49, 45]\nGenerated Node #0,3,0: 45:[49, 45] Operation: 25+20=45\nMoving to Node #0,3,0\nCurrent State: 45:[49, 45], Operations: ['52-32=20', '25+20=45']\nExploring Operation: 49-45=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[49, 25, 20], Operations: ['52-32=20']\nExploring Operation: 49-20=29, Resulting Numbers: [25, 29]\nGenerated Node #0,3,1: 45:[25, 29] Operation: 49-20=29\nMoving to Node #0,3,1\nCurrent State: 45:[25, 29], Operations: ['52-32=20', '49-20=29']\nExploring Operation: 25+29=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 45:[25, 29], Operations: ['52-32=20', '49-20=29']\nExploring Operation: 29-25=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[49, 25, 20], Operations: ['52-32=20']\nExploring Operation: 49+20=69, Resulting Numbers: [25, 69]\nGenerated Node #0,3,2: 45:[25, 69] Operation: 49+20=69\nMoving to Node #0,3,2\nCurrent State: 45:[25, 69], Operations: ['52-32=20', '49+20=69']\nExploring Operation: 69-25=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[49, 25, 20], Operations: ['52-32=20']\nExploring Operation: 25-20=5, Resulting Numbers: [49, 5]\nGenerated Node #0,3,3: 45:[49, 5] Operation: 25-20=5\nMoving to Node #0,3,3\nCurrent State: 45:[49, 5], Operations: ['52-32=20', '25-20=5']\nExploring Operation: 49-5=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 45:[49, 5], Operations: ['52-32=20', '25-20=5']\nExploring Operation: 49+5=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[49, 25, 20], Operations: ['52-32=20']\nExploring Operation: 49-25=24, Resulting Numbers: [20, 24]\nGenerated Node #0,3,4: 45:[20, 24] Operation: 49-25=24\nMoving to Node #0,3,4\nCurrent State: 45:[20, 24], Operations: ['52-32=20', '49-25=24']\nExploring Operation: 20+24=44, Resulting Numbers: [44]\n44,45 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 45:[20, 24], Operations: ['52-32=20', '49-25=24']\nExploring Operation: 24-20=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[49, 25, 20], Operations: ['52-32=20']\nExploring Operation: 49+25=74, Resulting Numbers: [20, 74]\nGenerated Node #0,3,5: 45:[20, 74] Operation: 49+25=74\nMoving to Node #0,3,5\nCurrent State: 45:[20, 74], Operations: ['52-32=20', '49+25=74']\nExploring Operation: 74-20=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[52, 49, 32, 25], Operations: []\nExploring Operation: 52+25=77, Resulting Numbers: [49, 32, 77]\nGenerated Node #0,4: 45:[49, 32, 77] Operation: 52+25=77\nMoving to Node #0,4\nCurrent State: 45:[49, 32, 77], Operations: ['52+25=77']\nExploring Operation: 77-32=45, Resulting Numbers: [49, 45]\nGenerated Node #0,4,0: 45:[49, 45] Operation: 77-32=45\nMoving to Node #0,4,0\nCurrent State: 45:[49, 45], Operations: ['52+25=77', '77-32=45']\nExploring Operation: 49-45=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[49, 32, 77], Operations: ['52+25=77']\nExploring Operation: 77-49=28, Resulting Numbers: [32, 28]\nGenerated Node #0,4,1: 45:[32, 28] Operation: 77-49=28\nMoving to Node #0,4,1\nCurrent State: 45:[32, 28], Operations: ['52+25=77', '77-49=28']\nExploring Operation: 32+28=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 45:[32, 28], Operations: ['52+25=77', '77-49=28']\nExploring Operation: 32-28=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[49, 32, 77], Operations: ['52+25=77']\nExploring Operation: 49-32=17, Resulting Numbers: [77, 17]\nGenerated Node #0,4,2: 45:[77, 17] Operation: 49-32=17\nMoving to Node #0,4,2\nCurrent State: 45:[77, 17], Operations: ['52+25=77', '49-32=17']\nExploring Operation: 77-17=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[49, 32, 77], Operations: ['52+25=77']\nExploring Operation: 49+32=81, Resulting Numbers: [77, 81]\nGenerated Node #0,4,3: 45:[77, 81] Operation: 49+32=81\nMoving to Node #0,4,3\nCurrent State: 45:[77, 81], Operations: ['52+25=77', '49+32=81']\nExploring Operation: 81-77=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[49, 32, 77], Operations: ['52+25=77']\nExploring Operation: 32+77=109, Resulting Numbers: [49, 109]\nGenerated Node #0,4,4: 45:[49, 109] Operation: 32+77=109\nMoving to Node #0,4,4\nCurrent State: 45:[49, 109], Operations: ['52+25=77', '32+77=109']\nExploring Operation: 109-49=60, Resulting Numbers: [60]\n60,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[52, 49, 32, 25], Operations: []\nExploring Operation: 49+25=74, Resulting Numbers: [52, 32, 74]\nGenerated Node #0,5: 45:[52, 32, 74] Operation: 49+25=74\nMoving to Node #0,5\nCurrent State: 45:[52, 32, 74], Operations: ['49+25=74']\nExploring Operation: 74-32=42, Resulting Numbers: [52, 42]\nGenerated Node #0,5,0: 45:[52, 42] Operation: 74-32=42\nMoving to Node #0,5,0\nCurrent State: 45:[52, 42], Operations: ['49+25=74', '74-32=42']\nExploring Operation: 52-42=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[52, 32, 74], Operations: ['49+25=74']\nExploring Operation: 74-52=22, Resulting Numbers: [32, 22]\nGenerated Node #0,5,1: 45:[32, 22] Operation: 74-52=22\nMoving to Node #0,5,1\nCurrent State: 45:[32, 22], Operations: ['49+25=74', '74-52=22']\nExploring Operation: 32+22=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 45:[32, 22], Operations: ['49+25=74', '74-52=22']\nExploring Operation: 32-22=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[52, 32, 74], Operations: ['49+25=74']\nExploring Operation: 52-32=20, Resulting Numbers: [74, 20]\nGenerated Node #0,5,2: 45:[74, 20] Operation: 52-32=20\nMoving to Node #0,5,2\nCurrent State: 45:[74, 20], Operations: ['49+25=74', '52-32=20']\nExploring Operation: 74-20=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[52, 32, 74], Operations: ['49+25=74']\nExploring Operation: 52+32=84, Resulting Numbers: [74, 84]\nGenerated Node #0,5,3: 45:[74, 84] Operation: 52+32=84\nMoving to Node #0,5,3\nCurrent State: 45:[74, 84], Operations: ['49+25=74', '52+32=84']\nExploring Operation: 84-74=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[52, 32, 74], Operations: ['49+25=74']\nExploring Operation: 32+74=106, Resulting Numbers: [52, 106]\nGenerated Node #0,5,4: 45:[52, 106] Operation: 32+74=106\nMoving to Node #0,5,4\nCurrent State: 45:[52, 106], Operations: ['49+25=74', '32+74=106']\nExploring Operation: 106-52=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[52, 49, 32, 25], Operations: []\nExploring Operation: 32-25=7, Resulting Numbers: [52, 49, 7]\nGenerated Node #0,6: 45:[52, 49, 7] Operation: 32-25=7\nMoving to Node #0,6\nCurrent State: 45:[52, 49, 7], Operations: ['32-25=7']\nExploring Operation: 52-7=45, Resulting Numbers: [49, 45]\nGenerated Node #0,6,0: 45:[49, 45] Operation: 52-7=45\nMoving to Node #0,6,0\nCurrent State: 45:[49, 45], Operations: ['32-25=7', '52-7=45']\nExploring Operation: 49-45=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 45:[52, 49, 7], Operations: ['32-25=7']\nExploring Operation: 49-7=42, Resulting Numbers: [52, 42]\nGenerated Node #0,6,1: 45:[52, 42] Operation: 49-7=42\nMoving to Node #0,6,1\nCurrent State: 45:[52, 42], Operations: ['32-25=7', '49-7=42']\nExploring Operation: 52-42=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 45:[52, 49, 7], Operations: ['32-25=7']\nExploring Operation: 52+7=59, Resulting Numbers: [49, 59]\nGenerated Node #0,6,2: 45:[49, 59] Operation: 52+7=59\nMoving to Node #0,6,2\nCurrent State: 45:[49, 59], Operations: ['32-25=7', '52+7=59']\nExploring Operation: 59-49=10, Resulting Numbers: [10]\n10,45 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 45:[52, 49, 7], Operations: ['32-25=7']\nExploring Operation: 49+7=56, Resulting Numbers: [52, 56]\nGenerated Node #0,6,3: 45:[52, 56] Operation: 49+7=56\nMoving to Node #0,6,3\nCurrent State: 45:[52, 56], Operations: ['32-25=7', '49+7=56']\nExploring Operation: 56-52=4, Resulting Numbers: [4]\n4,45 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 45:[52, 49, 7], Operations: ['32-25=7']\nExploring Operation: 49/7=7, Resulting Numbers: [52, 7]\nGenerated Node #0,6,4: 45:[52, 7] Operation: 49/7=7\nMoving to Node #0,6,4\nCurrent State: 45:[52, 7], Operations: ['32-25=7', '49/7=7']\nExploring Operation: 52-7=45, Resulting Numbers: [45]\n45,45 equal: Goal Reached\n", "role": "assistant" } ]
[ 39, 33, 8, 99 ]
97
[ "39-33=6", "99-8=91", "6+91=97" ]
Current State: 97:[39, 33, 8, 99], Operations: [] Exploring Operation: 39+8=47, Resulting Numbers: [33, 99, 47] Generated Node #0,0: 97:[33, 99, 47] Operation: 39+8=47 Exploring Operation: 39+33=72, Resulting Numbers: [8, 99, 72] Generated Node #0,1: 97:[8, 99, 72] Operation: 39+33=72 Exploring Operation: 33+8=41, Resulting Numbers: [39, 99, 41] Generated Node #0,2: 97:[39, 99, 41] Operation: 33+8=41 Moving to Node #0,0 Current State: 97:[33, 99, 47], Operations: ['39+8=47'] Exploring Operation: 33+99=132, Resulting Numbers: [47, 132] Generated Node #0,0,0: 97:[47, 132] Operation: 33+99=132 Exploring Operation: 99-33=66, Resulting Numbers: [47, 66] Generated Node #0,0,1: 97:[47, 66] Operation: 99-33=66 Exploring Operation: 33+47=80, Resulting Numbers: [99, 80] Generated Node #0,0,2: 97:[99, 80] Operation: 33+47=80 Moving to Node #0,1 Current State: 97:[8, 99, 72], Operations: ['39+33=72'] Exploring Operation: 99-8=91, Resulting Numbers: [72, 91] Generated Node #0,1,0: 97:[72, 91] Operation: 99-8=91 Exploring Operation: 8+99=107, Resulting Numbers: [72, 107] Generated Node #0,1,1: 97:[72, 107] Operation: 8+99=107 Exploring Operation: 8+72=80, Resulting Numbers: [99, 80] Generated Node #0,1,2: 97:[99, 80] Operation: 8+72=80 Moving to Node #0,2 Current State: 97:[39, 99, 41], Operations: ['33+8=41'] Exploring Operation: 39+41=80, Resulting Numbers: [99, 80] Generated Node #0,2,0: 97:[99, 80] Operation: 39+41=80 Exploring Operation: 99-39=60, Resulting Numbers: [41, 60] Generated Node #0,2,1: 97:[41, 60] Operation: 99-39=60 Exploring Operation: 39+99=138, Resulting Numbers: [41, 138] Generated Node #0,2,2: 97:[41, 138] Operation: 39+99=138 Moving to Node #0,0,2 Current State: 97:[99, 80], Operations: ['39+8=47', '33+47=80'] Exploring Operation: 99*80=7920, Resulting Numbers: [7920] 7920,97 unequal: No Solution Exploring Operation: 99+80=179, Resulting Numbers: [179] 179,97 unequal: No Solution Exploring Operation: 99-80=19, Resulting Numbers: [19] 19,97 unequal: No Solution Moving to Node #0,2,0 Current State: 97:[99, 80], Operations: ['33+8=41', '39+41=80'] Exploring Operation: 99-80=19, Resulting Numbers: [19] 19,97 unequal: No Solution Exploring Operation: 99+80=179, Resulting Numbers: [179] 179,97 unequal: No Solution Exploring Operation: 99*80=7920, Resulting Numbers: [7920] 7920,97 unequal: No Solution Moving to Node #0,1,2 Current State: 97:[99, 80], Operations: ['39+33=72', '8+72=80'] Exploring Operation: 99+80=179, Resulting Numbers: [179] 179,97 unequal: No Solution Exploring Operation: 99-80=19, Resulting Numbers: [19] 19,97 unequal: No Solution Exploring Operation: 99*80=7920, Resulting Numbers: [7920] 7920,97 unequal: No Solution Moving to Node #0,1,0 Current State: 97:[72, 91], Operations: ['39+33=72', '99-8=91'] Exploring Operation: 91-72=19, Resulting Numbers: [19] 19,97 unequal: No Solution Exploring Operation: 72*91=6552, Resulting Numbers: [6552] 6552,97 unequal: No Solution Exploring Operation: 72+91=163, Resulting Numbers: [163] 163,97 unequal: No Solution Moving to Node #0,1,1 Current State: 97:[72, 107], Operations: ['39+33=72', '8+99=107'] Exploring Operation: 72*107=7704, Resulting Numbers: [7704] 7704,97 unequal: No Solution Exploring Operation: 107-72=35, Resulting Numbers: [35] 35,97 unequal: No Solution Exploring Operation: 72+107=179, Resulting Numbers: [179] 179,97 unequal: No Solution Moving to Node #0,0,2,0 Current State: 97:[19], Operations: ['39+8=47', '33+47=80', '99-80=19'] Moving to Node #0,1,1,0 Current State: 97:[35], Operations: ['39+33=72', '8+99=107', '107-72=35'] Moving to Node #0,1,0,0 Current State: 97:[163], Operations: ['39+33=72', '99-8=91', '72+91=163'] Moving to Node #0,1,2,0 Current State: 97:[19], Operations: ['39+33=72', '8+72=80', '99-80=19'] Moving to Node #0,1,0,0 Current State: 97:[19], Operations: ['39+33=72', '99-8=91', '91-72=19'] Moving to Node #0,2,0,0 Current State: 97:[19], Operations: ['33+8=41', '39+41=80', '99-80=19'] Moving to Node #0,0,1 Current State: 97:[47, 66], Operations: ['39+8=47', '99-33=66'] Exploring Operation: 47+66=113, Resulting Numbers: [113] 113,97 unequal: No Solution Exploring Operation: 47*66=3102, Resulting Numbers: [3102] 3102,97 unequal: No Solution Exploring Operation: 66-47=19, Resulting Numbers: [19] 19,97 unequal: No Solution Moving to Node #0,0,1,0 Current State: 97:[113], Operations: ['39+8=47', '99-33=66', '47+66=113'] Moving to Node #0,0,1,0 Current State: 97:[19], Operations: ['39+8=47', '99-33=66', '66-47=19'] Moving to Node #0,1,2,0 Current State: 97:[179], Operations: ['39+33=72', '8+72=80', '99+80=179'] Moving to Node #0,2,0,0 Current State: 97:[179], Operations: ['33+8=41', '39+41=80', '99+80=179'] Moving to Node #0,0,2,0 Current State: 97:[179], Operations: ['39+8=47', '33+47=80', '99+80=179'] Moving to Node #0,1,1,0 Current State: 97:[179], Operations: ['39+33=72', '8+99=107', '72+107=179'] Moving to Node #0,0,0 Current State: 97:[47, 132], Operations: ['39+8=47', '33+99=132'] Exploring Operation: 47*132=6204, Resulting Numbers: [6204] 6204,97 unequal: No Solution Exploring Operation: 47+132=179, Resulting Numbers: [179] 179,97 unequal: No Solution Exploring Operation: 132-47=85, Resulting Numbers: [85] 85,97 unequal: No Solution Moving to Node #0,2,1 Current State: 97:[41, 60], Operations: ['33+8=41', '99-39=60'] Exploring Operation: 41*60=2460, Resulting Numbers: [2460] 2460,97 unequal: No Solution Exploring Operation: 41+60=101, Resulting Numbers: [101] 101,97 unequal: No Solution Exploring Operation: 60-41=19, Resulting Numbers: [19] 19,97 unequal: No Solution Moving to Node #0,2,2 Current State: 97:[41, 138], Operations: ['33+8=41', '39+99=138'] Exploring Operation: 41+138=179, Resulting Numbers: [179] 179,97 unequal: No Solution Exploring Operation: 138-41=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
0.966146
bfs_3
Current State: 97:[39, 33, 8, 99], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [8, 99, 6] Generated Node #2: [8, 99, 6] from Operation: 39-33=6 Current State: 97:[8, 99, 6], Operations: ['39-33=6'] Exploring Operation: 99-8=91, Resulting Numbers: [6, 91] Generated Node #3: [6, 91] from Operation: 99-8=91 Current State: 97:[6, 91], Operations: ['39-33=6', '99-8=91'] Exploring Operation: 6+91=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
mult_heuristic
[ { "content": "Make 97 with the numbers [39, 33, 8, 99] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 97:[39, 33, 8, 99], Operations: []\nExploring Operation: 39+8=47, Resulting Numbers: [33, 99, 47]\nGenerated Node #0,0: 97:[33, 99, 47] Operation: 39+8=47\nExploring Operation: 39+33=72, Resulting Numbers: [8, 99, 72]\nGenerated Node #0,1: 97:[8, 99, 72] Operation: 39+33=72\nExploring Operation: 33+8=41, Resulting Numbers: [39, 99, 41]\nGenerated Node #0,2: 97:[39, 99, 41] Operation: 33+8=41\nMoving to Node #0,0\nCurrent State: 97:[33, 99, 47], Operations: ['39+8=47']\nExploring Operation: 33+99=132, Resulting Numbers: [47, 132]\nGenerated Node #0,0,0: 97:[47, 132] Operation: 33+99=132\nExploring Operation: 99-33=66, Resulting Numbers: [47, 66]\nGenerated Node #0,0,1: 97:[47, 66] Operation: 99-33=66\nExploring Operation: 33+47=80, Resulting Numbers: [99, 80]\nGenerated Node #0,0,2: 97:[99, 80] Operation: 33+47=80\nMoving to Node #0,1\nCurrent State: 97:[8, 99, 72], Operations: ['39+33=72']\nExploring Operation: 99-8=91, Resulting Numbers: [72, 91]\nGenerated Node #0,1,0: 97:[72, 91] Operation: 99-8=91\nExploring Operation: 8+99=107, Resulting Numbers: [72, 107]\nGenerated Node #0,1,1: 97:[72, 107] Operation: 8+99=107\nExploring Operation: 8+72=80, Resulting Numbers: [99, 80]\nGenerated Node #0,1,2: 97:[99, 80] Operation: 8+72=80\nMoving to Node #0,2\nCurrent State: 97:[39, 99, 41], Operations: ['33+8=41']\nExploring Operation: 39+41=80, Resulting Numbers: [99, 80]\nGenerated Node #0,2,0: 97:[99, 80] Operation: 39+41=80\nExploring Operation: 99-39=60, Resulting Numbers: [41, 60]\nGenerated Node #0,2,1: 97:[41, 60] Operation: 99-39=60\nExploring Operation: 39+99=138, Resulting Numbers: [41, 138]\nGenerated Node #0,2,2: 97:[41, 138] Operation: 39+99=138\nMoving to Node #0,0,2\nCurrent State: 97:[99, 80], Operations: ['39+8=47', '33+47=80']\nExploring Operation: 99*80=7920, Resulting Numbers: [7920]\n7920,97 unequal: No Solution\nExploring Operation: 99+80=179, Resulting Numbers: [179]\n179,97 unequal: No Solution\nExploring Operation: 99-80=19, Resulting Numbers: [19]\n19,97 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 97:[99, 80], Operations: ['33+8=41', '39+41=80']\nExploring Operation: 99-80=19, Resulting Numbers: [19]\n19,97 unequal: No Solution\nExploring Operation: 99+80=179, Resulting Numbers: [179]\n179,97 unequal: No Solution\nExploring Operation: 99*80=7920, Resulting Numbers: [7920]\n7920,97 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 97:[99, 80], Operations: ['39+33=72', '8+72=80']\nExploring Operation: 99+80=179, Resulting Numbers: [179]\n179,97 unequal: No Solution\nExploring Operation: 99-80=19, Resulting Numbers: [19]\n19,97 unequal: No Solution\nExploring Operation: 99*80=7920, Resulting Numbers: [7920]\n7920,97 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 97:[72, 91], Operations: ['39+33=72', '99-8=91']\nExploring Operation: 91-72=19, Resulting Numbers: [19]\n19,97 unequal: No Solution\nExploring Operation: 72*91=6552, Resulting Numbers: [6552]\n6552,97 unequal: No Solution\nExploring Operation: 72+91=163, Resulting Numbers: [163]\n163,97 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 97:[72, 107], Operations: ['39+33=72', '8+99=107']\nExploring Operation: 72*107=7704, Resulting Numbers: [7704]\n7704,97 unequal: No Solution\nExploring Operation: 107-72=35, Resulting Numbers: [35]\n35,97 unequal: No Solution\nExploring Operation: 72+107=179, Resulting Numbers: [179]\n179,97 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 97:[19], Operations: ['39+8=47', '33+47=80', '99-80=19']\nMoving to Node #0,1,1,0\nCurrent State: 97:[35], Operations: ['39+33=72', '8+99=107', '107-72=35']\nMoving to Node #0,1,0,0\nCurrent State: 97:[163], Operations: ['39+33=72', '99-8=91', '72+91=163']\nMoving to Node #0,1,2,0\nCurrent State: 97:[19], Operations: ['39+33=72', '8+72=80', '99-80=19']\nMoving to Node #0,1,0,0\nCurrent State: 97:[19], Operations: ['39+33=72', '99-8=91', '91-72=19']\nMoving to Node #0,2,0,0\nCurrent State: 97:[19], Operations: ['33+8=41', '39+41=80', '99-80=19']\nMoving to Node #0,0,1\nCurrent State: 97:[47, 66], Operations: ['39+8=47', '99-33=66']\nExploring Operation: 47+66=113, Resulting Numbers: [113]\n113,97 unequal: No Solution\nExploring Operation: 47*66=3102, Resulting Numbers: [3102]\n3102,97 unequal: No Solution\nExploring Operation: 66-47=19, Resulting Numbers: [19]\n19,97 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 97:[113], Operations: ['39+8=47', '99-33=66', '47+66=113']\nMoving to Node #0,0,1,0\nCurrent State: 97:[19], Operations: ['39+8=47', '99-33=66', '66-47=19']\nMoving to Node #0,1,2,0\nCurrent State: 97:[179], Operations: ['39+33=72', '8+72=80', '99+80=179']\nMoving to Node #0,2,0,0\nCurrent State: 97:[179], Operations: ['33+8=41', '39+41=80', '99+80=179']\nMoving to Node #0,0,2,0\nCurrent State: 97:[179], Operations: ['39+8=47', '33+47=80', '99+80=179']\nMoving to Node #0,1,1,0\nCurrent State: 97:[179], Operations: ['39+33=72', '8+99=107', '72+107=179']\nMoving to Node #0,0,0\nCurrent State: 97:[47, 132], Operations: ['39+8=47', '33+99=132']\nExploring Operation: 47*132=6204, Resulting Numbers: [6204]\n6204,97 unequal: No Solution\nExploring Operation: 47+132=179, Resulting Numbers: [179]\n179,97 unequal: No Solution\nExploring Operation: 132-47=85, Resulting Numbers: [85]\n85,97 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 97:[41, 60], Operations: ['33+8=41', '99-39=60']\nExploring Operation: 41*60=2460, Resulting Numbers: [2460]\n2460,97 unequal: No Solution\nExploring Operation: 41+60=101, Resulting Numbers: [101]\n101,97 unequal: No Solution\nExploring Operation: 60-41=19, Resulting Numbers: [19]\n19,97 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 97:[41, 138], Operations: ['33+8=41', '39+99=138']\nExploring Operation: 41+138=179, Resulting Numbers: [179]\n179,97 unequal: No Solution\nExploring Operation: 138-41=97, Resulting Numbers: [97]\n97,97 equal: Goal Reached\n", "role": "assistant" } ]
[ 52, 15, 84, 19 ]
73
[ "19-15=4", "84/4=21", "52+21=73" ]
Current State: 73:[52, 15, 84, 19], Operations: [] Exploring Operation: 84-15=69, Resulting Numbers: [52, 19, 69] Generated Node #0,0: 73:[52, 19, 69] Operation: 84-15=69 Exploring Operation: 52+15=67, Resulting Numbers: [84, 19, 67] Generated Node #0,1: 73:[84, 19, 67] Operation: 52+15=67 Exploring Operation: 52+19=71, Resulting Numbers: [15, 84, 71] Generated Node #0,2: 73:[15, 84, 71] Operation: 52+19=71 Exploring Operation: 84-19=65, Resulting Numbers: [52, 15, 65] Generated Node #0,3: 73:[52, 15, 65] Operation: 84-19=65 Exploring Operation: 15+19=34, Resulting Numbers: [52, 84, 34] Generated Node #0,4: 73:[52, 84, 34] Operation: 15+19=34 Moving to Node #0,1 Current State: 73:[84, 19, 67], Operations: ['52+15=67'] Exploring Operation: 19+67=86, Resulting Numbers: [84, 86] Generated Node #0,1,0: 73:[84, 86] Operation: 19+67=86 Exploring Operation: 67-19=48, Resulting Numbers: [84, 48] Generated Node #0,1,1: 73:[84, 48] Operation: 67-19=48 Exploring Operation: 84-67=17, Resulting Numbers: [19, 17] Generated Node #0,1,2: 73:[19, 17] Operation: 84-67=17 Exploring Operation: 84+19=103, Resulting Numbers: [67, 103] Generated Node #0,1,3: 73:[67, 103] Operation: 84+19=103 Exploring Operation: 84-19=65, Resulting Numbers: [67, 65] Generated Node #0,1,4: 73:[67, 65] Operation: 84-19=65 Moving to Node #0,4 Current State: 73:[52, 84, 34], Operations: ['15+19=34'] Exploring Operation: 52-34=18, Resulting Numbers: [84, 18] Generated Node #0,4,0: 73:[84, 18] Operation: 52-34=18 Exploring Operation: 84+34=118, Resulting Numbers: [52, 118] Generated Node #0,4,1: 73:[52, 118] Operation: 84+34=118 Exploring Operation: 52+34=86, Resulting Numbers: [84, 86] Generated Node #0,4,2: 73:[84, 86] Operation: 52+34=86 Exploring Operation: 84-52=32, Resulting Numbers: [34, 32] Generated Node #0,4,3: 73:[34, 32] Operation: 84-52=32 Exploring Operation: 84-34=50, Resulting Numbers: [52, 50] Generated Node #0,4,4: 73:[52, 50] Operation: 84-34=50 Moving to Node #0,2 Current State: 73:[15, 84, 71], Operations: ['52+19=71'] Exploring Operation: 71-15=56, Resulting Numbers: [84, 56] Generated Node #0,2,0: 73:[84, 56] Operation: 71-15=56 Exploring Operation: 15+71=86, Resulting Numbers: [84, 86] Generated Node #0,2,1: 73:[84, 86] Operation: 15+71=86 Exploring Operation: 84-15=69, Resulting Numbers: [71, 69] Generated Node #0,2,2: 73:[71, 69] Operation: 84-15=69 Exploring Operation: 84-71=13, Resulting Numbers: [15, 13] Generated Node #0,2,3: 73:[15, 13] Operation: 84-71=13 Exploring Operation: 15+84=99, Resulting Numbers: [71, 99] Generated Node #0,2,4: 73:[71, 99] Operation: 15+84=99 Moving to Node #0,0 Current State: 73:[52, 19, 69], Operations: ['84-15=69'] Exploring Operation: 52-19=33, Resulting Numbers: [69, 33] Generated Node #0,0,0: 73:[69, 33] Operation: 52-19=33 Exploring Operation: 52+19=71, Resulting Numbers: [69, 71] Generated Node #0,0,1: 73:[69, 71] Operation: 52+19=71 Exploring Operation: 52+69=121, Resulting Numbers: [19, 121] Generated Node #0,0,2: 73:[19, 121] Operation: 52+69=121 Exploring Operation: 69-19=50, Resulting Numbers: [52, 50] Generated Node #0,0,3: 73:[52, 50] Operation: 69-19=50 Exploring Operation: 19+69=88, Resulting Numbers: [52, 88] Generated Node #0,0,4: 73:[52, 88] Operation: 19+69=88 Moving to Node #0,3 Current State: 73:[52, 15, 65], Operations: ['84-19=65'] Exploring Operation: 15+65=80, Resulting Numbers: [52, 80] Generated Node #0,3,0: 73:[52, 80] Operation: 15+65=80 Exploring Operation: 65-15=50, Resulting Numbers: [52, 50] Generated Node #0,3,1: 73:[52, 50] Operation: 65-15=50 Exploring Operation: 52+65=117, Resulting Numbers: [15, 117] Generated Node #0,3,2: 73:[15, 117] Operation: 52+65=117 Exploring Operation: 52+15=67, Resulting Numbers: [65, 67] Generated Node #0,3,3: 73:[65, 67] Operation: 52+15=67 Exploring Operation: 52-15=37, Resulting Numbers: [65, 37] Generated Node #0,3,4: 73:[65, 37] Operation: 52-15=37 Moving to Node #0,2,2 Current State: 73:[71, 69], Operations: ['52+19=71', '84-15=69'] Exploring Operation: 71*69=4899, Resulting Numbers: [4899] 4899,73 unequal: No Solution Exploring Operation: 71-69=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 71+69=140, Resulting Numbers: [140] 140,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[69, 71], Operations: ['84-15=69', '52+19=71'] Exploring Operation: 69+71=140, Resulting Numbers: [140] 140,73 unequal: No Solution Exploring Operation: 69*71=4899, Resulting Numbers: [4899] 4899,73 unequal: No Solution Exploring Operation: 71-69=2, Resulting Numbers: [2] 2,73 unequal: No Solution Moving to Node #0,3,3 Current State: 73:[65, 67], Operations: ['84-19=65', '52+15=67'] Exploring Operation: 65*67=4355, Resulting Numbers: [4355] 4355,73 unequal: No Solution Exploring Operation: 67-65=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 65+67=132, Resulting Numbers: [132] 132,73 unequal: No Solution Moving to Node #0,1,4 Current State: 73:[67, 65], Operations: ['52+15=67', '84-19=65'] Exploring Operation: 67*65=4355, Resulting Numbers: [4355] 4355,73 unequal: No Solution Exploring Operation: 67-65=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 67+65=132, Resulting Numbers: [132] 132,73 unequal: No Solution Moving to Node #0,4,2 Current State: 73:[84, 86], Operations: ['15+19=34', '52+34=86'] Exploring Operation: 86-84=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 84*86=7224, Resulting Numbers: [7224] 7224,73 unequal: No Solution Exploring Operation: 84+86=170, Resulting Numbers: [170] 170,73 unequal: No Solution Moving to Node #0,2,1 Current State: 73:[84, 86], Operations: ['52+19=71', '15+71=86'] Exploring Operation: 86-84=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 84+86=170, Resulting Numbers: [170] 170,73 unequal: No Solution Exploring Operation: 84*86=7224, Resulting Numbers: [7224] 7224,73 unequal: No Solution Moving to Node #0,1,0 Current State: 73:[84, 86], Operations: ['52+15=67', '19+67=86'] Exploring Operation: 86-84=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 84*86=7224, Resulting Numbers: [7224] 7224,73 unequal: No Solution Exploring Operation: 84+86=170, Resulting Numbers: [170] 170,73 unequal: No Solution Moving to Node #0,2,4 Current State: 73:[71, 99], Operations: ['52+19=71', '15+84=99'] Exploring Operation: 71*99=7029, Resulting Numbers: [7029] 7029,73 unequal: No Solution Exploring Operation: 99-71=28, Resulting Numbers: [28] 28,73 unequal: No Solution Exploring Operation: 71+99=170, Resulting Numbers: [170] 170,73 unequal: No Solution Moving to Node #0,2,0 Current State: 73:[84, 56], Operations: ['52+19=71', '71-15=56'] Exploring Operation: 84+56=140, Resulting Numbers: [140] 140,73 unequal: No Solution Exploring Operation: 84-56=28, Resulting Numbers: [28] 28,73 unequal: No Solution Exploring Operation: 84*56=4704, Resulting Numbers: [4704] 4704,73 unequal: No Solution Moving to Node #0,3,0 Current State: 73:[52, 80], Operations: ['84-19=65', '15+65=80'] Exploring Operation: 52*80=4160, Resulting Numbers: [4160] 4160,73 unequal: No Solution Exploring Operation: 80-52=28, Resulting Numbers: [28] 28,73 unequal: No Solution Exploring Operation: 52+80=132, Resulting Numbers: [132] 132,73 unequal: No Solution Moving to Node #0,1,1 Current State: 73:[84, 48], Operations: ['52+15=67', '67-19=48'] Exploring Operation: 84*48=4032, Resulting Numbers: [4032] 4032,73 unequal: No Solution Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 84+48=132, Resulting Numbers: [132] 132,73 unequal: No Solution Moving to Node #0,1,3 Current State: 73:[67, 103], Operations: ['52+15=67', '84+19=103'] Exploring Operation: 67+103=170, Resulting Numbers: [170] 170,73 unequal: No Solution Exploring Operation: 103-67=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 67*103=6901, Resulting Numbers: [6901] 6901,73 unequal: No Solution Moving to Node #0,0,4 Current State: 73:[52, 88], Operations: ['84-15=69', '19+69=88'] Exploring Operation: 52*88=4576, Resulting Numbers: [4576] 4576,73 unequal: No Solution Exploring Operation: 52+88=140, Resulting Numbers: [140] 140,73 unequal: No Solution Exploring Operation: 88-52=36, Resulting Numbers: [36] 36,73 unequal: No Solution Moving to Node #0,4,4 Current State: 73:[52, 50], Operations: ['15+19=34', '84-34=50'] Exploring Operation: 52*50=2600, Resulting Numbers: [2600] 2600,73 unequal: No Solution Exploring Operation: 52-50=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 52+50=102, Resulting Numbers: [102] 102,73 unequal: No Solution Moving to Node #0,3,1 Current State: 73:[52, 50], Operations: ['84-19=65', '65-15=50'] Exploring Operation: 52-50=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 52*50=2600, Resulting Numbers: [2600] 2600,73 unequal: No Solution Exploring Operation: 52+50=102, Resulting Numbers: [102] 102,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[69, 33], Operations: ['84-15=69', '52-19=33'] Exploring Operation: 69+33=102, Resulting Numbers: [102] 102,73 unequal: No Solution Exploring Operation: 69*33=2277, Resulting Numbers: [2277] 2277,73 unequal: No Solution Exploring Operation: 69-33=36, Resulting Numbers: [36] 36,73 unequal: No Solution Moving to Node #0,0,3 Current State: 73:[52, 50], Operations: ['84-15=69', '69-19=50'] Exploring Operation: 52+50=102, Resulting Numbers: [102] 102,73 unequal: No Solution Exploring Operation: 52*50=2600, Resulting Numbers: [2600] 2600,73 unequal: No Solution Exploring Operation: 52-50=2, Resulting Numbers: [2] 2,73 unequal: No Solution Moving to Node #0,3,4 Current State: 73:[65, 37], Operations: ['84-19=65', '52-15=37'] Exploring Operation: 65*37=2405, Resulting Numbers: [2405] 2405,73 unequal: No Solution Exploring Operation: 65+37=102, Resulting Numbers: [102] 102,73 unequal: No Solution Exploring Operation: 65-37=28, Resulting Numbers: [28] 28,73 unequal: No Solution Moving to Node #0,4,4,0 Current State: 73:[102], Operations: ['15+19=34', '84-34=50', '52+50=102'] Moving to Node #0,3,1,0 Current State: 73:[102], Operations: ['84-19=65', '65-15=50', '52+50=102'] Moving to Node #0,0,0,0 Current State: 73:[102], Operations: ['84-15=69', '52-19=33', '69+33=102'] Moving to Node #0,0,3,0 Current State: 73:[102], Operations: ['84-15=69', '69-19=50', '52+50=102'] Moving to Node #0,3,4,0 Current State: 73:[102], Operations: ['84-19=65', '52-15=37', '65+37=102'] Moving to Node #0,4,1 Current State: 73:[52, 118], Operations: ['15+19=34', '84+34=118'] Exploring Operation: 118-52=66, Resulting Numbers: [66] 66,73 unequal: No Solution Exploring Operation: 52*118=6136, Resulting Numbers: [6136] 6136,73 unequal: No Solution Exploring Operation: 52+118=170, Resulting Numbers: [170] 170,73 unequal: No Solution Moving to Node #0,4,0 Current State: 73:[84, 18], Operations: ['15+19=34', '52-34=18'] Exploring Operation: 84*18=1512, Resulting Numbers: [1512] 1512,73 unequal: No Solution Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,73 unequal: No Solution Exploring Operation: 84+18=102, Resulting Numbers: [102] 102,73 unequal: No Solution Moving to Node #0,4,1,0 Current State: 73:[66], Operations: ['15+19=34', '84+34=118', '118-52=66'] Moving to Node #0,4,0,0 Current State: 73:[66], Operations: ['15+19=34', '52-34=18', '84-18=66'] Moving to Node #0,4,0,0 Current State: 73:[102], Operations: ['15+19=34', '52-34=18', '84+18=102'] Moving to Node #0,0,0,0 Current State: 73:[36], Operations: ['84-15=69', '52-19=33', '69-33=36'] Moving to Node #0,1,1,0 Current State: 73:[36], Operations: ['52+15=67', '67-19=48', '84-48=36'] Moving to Node #0,1,3,0 Current State: 73:[36], Operations: ['52+15=67', '84+19=103', '103-67=36'] Moving to Node #0,0,4,0 Current State: 73:[36], Operations: ['84-15=69', '19+69=88', '88-52=36'] Moving to Node #0,4,3 Current State: 73:[34, 32], Operations: ['15+19=34', '84-52=32'] Exploring Operation: 34+32=66, Resulting Numbers: [66] 66,73 unequal: No Solution Exploring Operation: 34-32=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 34*32=1088, Resulting Numbers: [1088] 1088,73 unequal: No Solution Moving to Node #0,3,4,0 Current State: 73:[28], Operations: ['84-19=65', '52-15=37', '65-37=28'] Moving to Node #0,2,0,0 Current State: 73:[28], Operations: ['52+19=71', '71-15=56', '84-56=28'] Moving to Node #0,4,3,0 Current State: 73:[66], Operations: ['15+19=34', '84-52=32', '34+32=66'] Moving to Node #0,3,0,0 Current State: 73:[28], Operations: ['84-19=65', '15+65=80', '80-52=28'] Moving to Node #0,2,4,0 Current State: 73:[28], Operations: ['52+19=71', '15+84=99', '99-71=28'] Moving to Node #0,3,2 Current State: 73:[15, 117], Operations: ['84-19=65', '52+65=117'] Exploring Operation: 117-15=102, Resulting Numbers: [102] 102,73 unequal: No Solution Exploring Operation: 15+117=132, Resulting Numbers: [132] 132,73 unequal: No Solution Exploring Operation: 15*117=1755, Resulting Numbers: [1755] 1755,73 unequal: No Solution Moving to Node #0,0,2 Current State: 73:[19, 121], Operations: ['84-15=69', '52+69=121'] Exploring Operation: 19+121=140, Resulting Numbers: [140] 140,73 unequal: No Solution Exploring Operation: 121-19=102, Resulting Numbers: [102] 102,73 unequal: No Solution Exploring Operation: 19*121=2299, Resulting Numbers: [2299] 2299,73 unequal: No Solution Moving to Node #0,3,2,0 Current State: 73:[102], Operations: ['84-19=65', '52+65=117', '117-15=102'] Moving to Node #0,0,2,0 Current State: 73:[102], Operations: ['84-15=69', '52+69=121', '121-19=102'] Moving to Node #0,1,2 Current State: 73:[19, 17], Operations: ['52+15=67', '84-67=17'] Exploring Operation: 19*17=323, Resulting Numbers: [323] 323,73 unequal: No Solution Exploring Operation: 19+17=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 19-17=2, Resulting Numbers: [2] 2,73 unequal: No Solution Moving to Node #0,1,4,0 Current State: 73:[132], Operations: ['52+15=67', '84-19=65', '67+65=132'] Moving to Node #0,2,3 Current State: 73:[15, 13], Operations: ['52+19=71', '84-71=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,73 unequal: No Solution Exploring Operation: 15*13=195, Resulting Numbers: [195] 195,73 unequal: No Solution Exploring Operation: 15-13=2, Resulting Numbers: [2] 2,73 unequal: No Solution Moving to Node #0,1,2,0 Current State: 73:[36], Operations: ['52+15=67', '84-67=17', '19+17=36'] Moving to Node #0,2,3,0 Current State: 73:[28], Operations: ['52+19=71', '84-71=13', '15+13=28'] Moving to Node #0,3,3,0 Current State: 73:[132], Operations: ['84-19=65', '52+15=67', '65+67=132'] Moving to Node #0,3,2,0 Current State: 73:[132], Operations: ['84-19=65', '52+65=117', '15+117=132'] Moving to Node #0,3,0,0 Current State: 73:[132], Operations: ['84-19=65', '15+65=80', '52+80=132'] Moving to Node #0,1,1,0 Current State: 73:[132], Operations: ['52+15=67', '67-19=48', '84+48=132'] Moving to Node #0,0,2,0 Current State: 73:[140], Operations: ['84-15=69', '52+69=121', '19+121=140'] Moving to Node #0,0,1,0 Current State: 73:[140], Operations: ['84-15=69', '52+19=71', '69+71=140'] Moving to Node #0,0,4,0 Current State: 73:[140], Operations: ['84-15=69', '19+69=88', '52+88=140'] Moving to Node #0,2,2,0 Current State: 73:[140], Operations: ['52+19=71', '84-15=69', '71+69=140'] Moving to Node #0,2,0,0 Current State: 73:[140], Operations: ['52+19=71', '71-15=56', '84+56=140'] Moving to Node #0,2,1,0 Current State: 73:[2], Operations: ['52+19=71', '15+71=86', '86-84=2'] Moving to Node #0,3,3,0 Current State: 73:[2], Operations: ['84-19=65', '52+15=67', '67-65=2'] Moving to Node #0,3,1,0 Current State: 73:[2], Operations: ['84-19=65', '65-15=50', '52-50=2'] Moving to Node #0,2,3,0 Current State: 73:[2], Operations: ['52+19=71', '84-71=13', '15-13=2'] Moving to Node #0,1,4,0 Current State: 73:[2], Operations: ['52+15=67', '84-19=65', '67-65=2'] Moving to Node #0,1,2,0 Current State: 73:[2], Operations: ['52+15=67', '84-67=17', '19-17=2'] Moving to Node #0,4,4,0 Current State: 73:[2], Operations: ['15+19=34', '84-34=50', '52-50=2'] Moving to Node #0,0,3,0 Current State: 73:[2], Operations: ['84-15=69', '69-19=50', '52-50=2'] Moving to Node #0,2,2,0 Current State: 73:[2], Operations: ['52+19=71', '84-15=69', '71-69=2'] Moving to Node #0,0,1,0 Current State: 73:[2], Operations: ['84-15=69', '52+19=71', '71-69=2'] Moving to Node #0,4,3,0 Current State: 73:[2], Operations: ['15+19=34', '84-52=32', '34-32=2'] Moving to Node #0,4,2,0 Current State: 73:[2], Operations: ['15+19=34', '52+34=86', '86-84=2'] Moving to Node #0,1,0,0 Current State: 73:[2], Operations: ['52+15=67', '19+67=86', '86-84=2'] Moving to Node #0,4,2,0 Current State: 73:[170], Operations: ['15+19=34', '52+34=86', '84+86=170'] Moving to Node #0,4,1,0 Current State: 73:[170], Operations: ['15+19=34', '84+34=118', '52+118=170'] Moving to Node #0,1,3,0 Current State: 73:[170], Operations: ['52+15=67', '84+19=103', '67+103=170'] Moving to Node #0,2,4,0 Current State: 73:[170], Operations: ['52+19=71', '15+84=99', '71+99=170'] Moving to Node #0,1,0,0 Current State: 73:[170], Operations: ['52+15=67', '19+67=86', '84+86=170'] Moving to Node #0,2,1,0 Current State: 73:[170], Operations: ['52+19=71', '15+71=86', '84+86=170'] Moving to Node #0,2,3,0 Current State: 73:[195], Operations: ['52+19=71', '84-71=13', '15*13=195'] Moving to Node #0,1,2,0 Current State: 73:[323], Operations: ['52+15=67', '84-67=17', '19*17=323'] Moving to Node #0,4,3,0 Current State: 73:[1088], Operations: ['15+19=34', '84-52=32', '34*32=1088'] Moving to Node #0,4,0,0 Current State: 73:[1512], Operations: ['15+19=34', '52-34=18', '84*18=1512'] Moving to Node #0,3,2,0 Current State: 73:[1755], Operations: ['84-19=65', '52+65=117', '15*117=1755'] Moving to Node #0,0,0,0 Current State: 73:[2277], Operations: ['84-15=69', '52-19=33', '69*33=2277'] Moving to Node #0,0,2,0 Current State: 73:[2299], Operations: ['84-15=69', '52+69=121', '19*121=2299'] Moving to Node #0,3,4,0 Current State: 73:[2405], Operations: ['84-19=65', '52-15=37', '65*37=2405'] Moving to Node #0,0,3,0 Current State: 73:[2600], Operations: ['84-15=69', '69-19=50', '52*50=2600'] Moving to Node #0,3,1,0 Current State: 73:[2600], Operations: ['84-19=65', '65-15=50', '52*50=2600'] Moving to Node #0,4,4,0 Current State: 73:[2600], Operations: ['15+19=34', '84-34=50', '52*50=2600'] Moving to Node #0,1,1,0 Current State: 73:[4032], Operations: ['52+15=67', '67-19=48', '84*48=4032'] Moving to Node #0,3,0,0 Current State: 73:[4160], Operations: ['84-19=65', '15+65=80', '52*80=4160'] Moving to Node #0,1,4,0 Current State: 73:[4355], Operations: ['52+15=67', '84-19=65', '67*65=4355'] Moving to Node #0,3,3,0 Current State: 73:[4355], Operations: ['84-19=65', '52+15=67', '65*67=4355'] Moving to Node #0,0,4,0 Current State: 73:[4576], Operations: ['84-15=69', '19+69=88', '52*88=4576'] Moving to Node #0,2,0,0 Current State: 73:[4704], Operations: ['52+19=71', '71-15=56', '84*56=4704'] Moving to Node #0,2,2,0 Current State: 73:[4899], Operations: ['52+19=71', '84-15=69', '71*69=4899'] Moving to Node #0,0,1,0 Current State: 73:[4899], Operations: ['84-15=69', '52+19=71', '69*71=4899'] Moving to Node #0,4,1,0 Current State: 73:[6136], Operations: ['15+19=34', '84+34=118', '52*118=6136'] Moving to Node #0,1,3,0 Current State: 73:[6901], Operations: ['52+15=67', '84+19=103', '67*103=6901'] Moving to Node #0,2,4,0 Current State: 73:[7029], Operations: ['52+19=71', '15+84=99', '71*99=7029'] Moving to Node #0,1,0,0 Current State: 73:[7224], Operations: ['52+15=67', '19+67=86', '84*86=7224'] Moving to Node #0,2,1,0 Current State: 73:[7224], Operations: ['52+19=71', '15+71=86', '84*86=7224'] Moving to Node #0,4,2,0 Current State: 73:[7224], Operations: ['15+19=34', '52+34=86', '84*86=7224'] No solution found.
0
bfs_5
Current State: 73:[52, 15, 84, 19], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [52, 84, 4] Generated Node #2: [52, 84, 4] from Operation: 19-15=4 Current State: 73:[52, 84, 4], Operations: ['19-15=4'] Exploring Operation: 84/4=21, Resulting Numbers: [52, 21] Generated Node #3: [52, 21] from Operation: 84/4=21 Current State: 73:[52, 21], Operations: ['19-15=4', '84/4=21'] Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
sum_heuristic
[ { "content": "Make 73 with the numbers [52, 15, 84, 19] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 73:[52, 15, 84, 19], Operations: []\nExploring Operation: 84-15=69, Resulting Numbers: [52, 19, 69]\nGenerated Node #0,0: 73:[52, 19, 69] Operation: 84-15=69\nExploring Operation: 52+15=67, Resulting Numbers: [84, 19, 67]\nGenerated Node #0,1: 73:[84, 19, 67] Operation: 52+15=67\nExploring Operation: 52+19=71, Resulting Numbers: [15, 84, 71]\nGenerated Node #0,2: 73:[15, 84, 71] Operation: 52+19=71\nExploring Operation: 84-19=65, Resulting Numbers: [52, 15, 65]\nGenerated Node #0,3: 73:[52, 15, 65] Operation: 84-19=65\nExploring Operation: 15+19=34, Resulting Numbers: [52, 84, 34]\nGenerated Node #0,4: 73:[52, 84, 34] Operation: 15+19=34\nMoving to Node #0,1\nCurrent State: 73:[84, 19, 67], Operations: ['52+15=67']\nExploring Operation: 19+67=86, Resulting Numbers: [84, 86]\nGenerated Node #0,1,0: 73:[84, 86] Operation: 19+67=86\nExploring Operation: 67-19=48, Resulting Numbers: [84, 48]\nGenerated Node #0,1,1: 73:[84, 48] Operation: 67-19=48\nExploring Operation: 84-67=17, Resulting Numbers: [19, 17]\nGenerated Node #0,1,2: 73:[19, 17] Operation: 84-67=17\nExploring Operation: 84+19=103, Resulting Numbers: [67, 103]\nGenerated Node #0,1,3: 73:[67, 103] Operation: 84+19=103\nExploring Operation: 84-19=65, Resulting Numbers: [67, 65]\nGenerated Node #0,1,4: 73:[67, 65] Operation: 84-19=65\nMoving to Node #0,4\nCurrent State: 73:[52, 84, 34], Operations: ['15+19=34']\nExploring Operation: 52-34=18, Resulting Numbers: [84, 18]\nGenerated Node #0,4,0: 73:[84, 18] Operation: 52-34=18\nExploring Operation: 84+34=118, Resulting Numbers: [52, 118]\nGenerated Node #0,4,1: 73:[52, 118] Operation: 84+34=118\nExploring Operation: 52+34=86, Resulting Numbers: [84, 86]\nGenerated Node #0,4,2: 73:[84, 86] Operation: 52+34=86\nExploring Operation: 84-52=32, Resulting Numbers: [34, 32]\nGenerated Node #0,4,3: 73:[34, 32] Operation: 84-52=32\nExploring Operation: 84-34=50, Resulting Numbers: [52, 50]\nGenerated Node #0,4,4: 73:[52, 50] Operation: 84-34=50\nMoving to Node #0,2\nCurrent State: 73:[15, 84, 71], Operations: ['52+19=71']\nExploring Operation: 71-15=56, Resulting Numbers: [84, 56]\nGenerated Node #0,2,0: 73:[84, 56] Operation: 71-15=56\nExploring Operation: 15+71=86, Resulting Numbers: [84, 86]\nGenerated Node #0,2,1: 73:[84, 86] Operation: 15+71=86\nExploring Operation: 84-15=69, Resulting Numbers: [71, 69]\nGenerated Node #0,2,2: 73:[71, 69] Operation: 84-15=69\nExploring Operation: 84-71=13, Resulting Numbers: [15, 13]\nGenerated Node #0,2,3: 73:[15, 13] Operation: 84-71=13\nExploring Operation: 15+84=99, Resulting Numbers: [71, 99]\nGenerated Node #0,2,4: 73:[71, 99] Operation: 15+84=99\nMoving to Node #0,0\nCurrent State: 73:[52, 19, 69], Operations: ['84-15=69']\nExploring Operation: 52-19=33, Resulting Numbers: [69, 33]\nGenerated Node #0,0,0: 73:[69, 33] Operation: 52-19=33\nExploring Operation: 52+19=71, Resulting Numbers: [69, 71]\nGenerated Node #0,0,1: 73:[69, 71] Operation: 52+19=71\nExploring Operation: 52+69=121, Resulting Numbers: [19, 121]\nGenerated Node #0,0,2: 73:[19, 121] Operation: 52+69=121\nExploring Operation: 69-19=50, Resulting Numbers: [52, 50]\nGenerated Node #0,0,3: 73:[52, 50] Operation: 69-19=50\nExploring Operation: 19+69=88, Resulting Numbers: [52, 88]\nGenerated Node #0,0,4: 73:[52, 88] Operation: 19+69=88\nMoving to Node #0,3\nCurrent State: 73:[52, 15, 65], Operations: ['84-19=65']\nExploring Operation: 15+65=80, Resulting Numbers: [52, 80]\nGenerated Node #0,3,0: 73:[52, 80] Operation: 15+65=80\nExploring Operation: 65-15=50, Resulting Numbers: [52, 50]\nGenerated Node #0,3,1: 73:[52, 50] Operation: 65-15=50\nExploring Operation: 52+65=117, Resulting Numbers: [15, 117]\nGenerated Node #0,3,2: 73:[15, 117] Operation: 52+65=117\nExploring Operation: 52+15=67, Resulting Numbers: [65, 67]\nGenerated Node #0,3,3: 73:[65, 67] Operation: 52+15=67\nExploring Operation: 52-15=37, Resulting Numbers: [65, 37]\nGenerated Node #0,3,4: 73:[65, 37] Operation: 52-15=37\nMoving to Node #0,2,2\nCurrent State: 73:[71, 69], Operations: ['52+19=71', '84-15=69']\nExploring Operation: 71*69=4899, Resulting Numbers: [4899]\n4899,73 unequal: No Solution\nExploring Operation: 71-69=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 71+69=140, Resulting Numbers: [140]\n140,73 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 73:[69, 71], Operations: ['84-15=69', '52+19=71']\nExploring Operation: 69+71=140, Resulting Numbers: [140]\n140,73 unequal: No Solution\nExploring Operation: 69*71=4899, Resulting Numbers: [4899]\n4899,73 unequal: No Solution\nExploring Operation: 71-69=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 73:[65, 67], Operations: ['84-19=65', '52+15=67']\nExploring Operation: 65*67=4355, Resulting Numbers: [4355]\n4355,73 unequal: No Solution\nExploring Operation: 67-65=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 65+67=132, Resulting Numbers: [132]\n132,73 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 73:[67, 65], Operations: ['52+15=67', '84-19=65']\nExploring Operation: 67*65=4355, Resulting Numbers: [4355]\n4355,73 unequal: No Solution\nExploring Operation: 67-65=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 67+65=132, Resulting Numbers: [132]\n132,73 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 73:[84, 86], Operations: ['15+19=34', '52+34=86']\nExploring Operation: 86-84=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 84*86=7224, Resulting Numbers: [7224]\n7224,73 unequal: No Solution\nExploring Operation: 84+86=170, Resulting Numbers: [170]\n170,73 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 73:[84, 86], Operations: ['52+19=71', '15+71=86']\nExploring Operation: 86-84=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 84+86=170, Resulting Numbers: [170]\n170,73 unequal: No Solution\nExploring Operation: 84*86=7224, Resulting Numbers: [7224]\n7224,73 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 73:[84, 86], Operations: ['52+15=67', '19+67=86']\nExploring Operation: 86-84=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 84*86=7224, Resulting Numbers: [7224]\n7224,73 unequal: No Solution\nExploring Operation: 84+86=170, Resulting Numbers: [170]\n170,73 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 73:[71, 99], Operations: ['52+19=71', '15+84=99']\nExploring Operation: 71*99=7029, Resulting Numbers: [7029]\n7029,73 unequal: No Solution\nExploring Operation: 99-71=28, Resulting Numbers: [28]\n28,73 unequal: No Solution\nExploring Operation: 71+99=170, Resulting Numbers: [170]\n170,73 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 73:[84, 56], Operations: ['52+19=71', '71-15=56']\nExploring Operation: 84+56=140, Resulting Numbers: [140]\n140,73 unequal: No Solution\nExploring Operation: 84-56=28, Resulting Numbers: [28]\n28,73 unequal: No Solution\nExploring Operation: 84*56=4704, Resulting Numbers: [4704]\n4704,73 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 73:[52, 80], Operations: ['84-19=65', '15+65=80']\nExploring Operation: 52*80=4160, Resulting Numbers: [4160]\n4160,73 unequal: No Solution\nExploring Operation: 80-52=28, Resulting Numbers: [28]\n28,73 unequal: No Solution\nExploring Operation: 52+80=132, Resulting Numbers: [132]\n132,73 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 73:[84, 48], Operations: ['52+15=67', '67-19=48']\nExploring Operation: 84*48=4032, Resulting Numbers: [4032]\n4032,73 unequal: No Solution\nExploring Operation: 84-48=36, Resulting Numbers: [36]\n36,73 unequal: No Solution\nExploring Operation: 84+48=132, Resulting Numbers: [132]\n132,73 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 73:[67, 103], Operations: ['52+15=67', '84+19=103']\nExploring Operation: 67+103=170, Resulting Numbers: [170]\n170,73 unequal: No Solution\nExploring Operation: 103-67=36, Resulting Numbers: [36]\n36,73 unequal: No Solution\nExploring Operation: 67*103=6901, Resulting Numbers: [6901]\n6901,73 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 73:[52, 88], Operations: ['84-15=69', '19+69=88']\nExploring Operation: 52*88=4576, Resulting Numbers: [4576]\n4576,73 unequal: No Solution\nExploring Operation: 52+88=140, Resulting Numbers: [140]\n140,73 unequal: No Solution\nExploring Operation: 88-52=36, Resulting Numbers: [36]\n36,73 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 73:[52, 50], Operations: ['15+19=34', '84-34=50']\nExploring Operation: 52*50=2600, Resulting Numbers: [2600]\n2600,73 unequal: No Solution\nExploring Operation: 52-50=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 52+50=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 73:[52, 50], Operations: ['84-19=65', '65-15=50']\nExploring Operation: 52-50=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 52*50=2600, Resulting Numbers: [2600]\n2600,73 unequal: No Solution\nExploring Operation: 52+50=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 73:[69, 33], Operations: ['84-15=69', '52-19=33']\nExploring Operation: 69+33=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nExploring Operation: 69*33=2277, Resulting Numbers: [2277]\n2277,73 unequal: No Solution\nExploring Operation: 69-33=36, Resulting Numbers: [36]\n36,73 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 73:[52, 50], Operations: ['84-15=69', '69-19=50']\nExploring Operation: 52+50=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nExploring Operation: 52*50=2600, Resulting Numbers: [2600]\n2600,73 unequal: No Solution\nExploring Operation: 52-50=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 73:[65, 37], Operations: ['84-19=65', '52-15=37']\nExploring Operation: 65*37=2405, Resulting Numbers: [2405]\n2405,73 unequal: No Solution\nExploring Operation: 65+37=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nExploring Operation: 65-37=28, Resulting Numbers: [28]\n28,73 unequal: No Solution\nMoving to Node #0,4,4,0\nCurrent State: 73:[102], Operations: ['15+19=34', '84-34=50', '52+50=102']\nMoving to Node #0,3,1,0\nCurrent State: 73:[102], Operations: ['84-19=65', '65-15=50', '52+50=102']\nMoving to Node #0,0,0,0\nCurrent State: 73:[102], Operations: ['84-15=69', '52-19=33', '69+33=102']\nMoving to Node #0,0,3,0\nCurrent State: 73:[102], Operations: ['84-15=69', '69-19=50', '52+50=102']\nMoving to Node #0,3,4,0\nCurrent State: 73:[102], Operations: ['84-19=65', '52-15=37', '65+37=102']\nMoving to Node #0,4,1\nCurrent State: 73:[52, 118], Operations: ['15+19=34', '84+34=118']\nExploring Operation: 118-52=66, Resulting Numbers: [66]\n66,73 unequal: No Solution\nExploring Operation: 52*118=6136, Resulting Numbers: [6136]\n6136,73 unequal: No Solution\nExploring Operation: 52+118=170, Resulting Numbers: [170]\n170,73 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 73:[84, 18], Operations: ['15+19=34', '52-34=18']\nExploring Operation: 84*18=1512, Resulting Numbers: [1512]\n1512,73 unequal: No Solution\nExploring Operation: 84-18=66, Resulting Numbers: [66]\n66,73 unequal: No Solution\nExploring Operation: 84+18=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nMoving to Node #0,4,1,0\nCurrent State: 73:[66], Operations: ['15+19=34', '84+34=118', '118-52=66']\nMoving to Node #0,4,0,0\nCurrent State: 73:[66], Operations: ['15+19=34', '52-34=18', '84-18=66']\nMoving to Node #0,4,0,0\nCurrent State: 73:[102], Operations: ['15+19=34', '52-34=18', '84+18=102']\nMoving to Node #0,0,0,0\nCurrent State: 73:[36], Operations: ['84-15=69', '52-19=33', '69-33=36']\nMoving to Node #0,1,1,0\nCurrent State: 73:[36], Operations: ['52+15=67', '67-19=48', '84-48=36']\nMoving to Node #0,1,3,0\nCurrent State: 73:[36], Operations: ['52+15=67', '84+19=103', '103-67=36']\nMoving to Node #0,0,4,0\nCurrent State: 73:[36], Operations: ['84-15=69', '19+69=88', '88-52=36']\nMoving to Node #0,4,3\nCurrent State: 73:[34, 32], Operations: ['15+19=34', '84-52=32']\nExploring Operation: 34+32=66, Resulting Numbers: [66]\n66,73 unequal: No Solution\nExploring Operation: 34-32=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 34*32=1088, Resulting Numbers: [1088]\n1088,73 unequal: No Solution\nMoving to Node #0,3,4,0\nCurrent State: 73:[28], Operations: ['84-19=65', '52-15=37', '65-37=28']\nMoving to Node #0,2,0,0\nCurrent State: 73:[28], Operations: ['52+19=71', '71-15=56', '84-56=28']\nMoving to Node #0,4,3,0\nCurrent State: 73:[66], Operations: ['15+19=34', '84-52=32', '34+32=66']\nMoving to Node #0,3,0,0\nCurrent State: 73:[28], Operations: ['84-19=65', '15+65=80', '80-52=28']\nMoving to Node #0,2,4,0\nCurrent State: 73:[28], Operations: ['52+19=71', '15+84=99', '99-71=28']\nMoving to Node #0,3,2\nCurrent State: 73:[15, 117], Operations: ['84-19=65', '52+65=117']\nExploring Operation: 117-15=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nExploring Operation: 15+117=132, Resulting Numbers: [132]\n132,73 unequal: No Solution\nExploring Operation: 15*117=1755, Resulting Numbers: [1755]\n1755,73 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 73:[19, 121], Operations: ['84-15=69', '52+69=121']\nExploring Operation: 19+121=140, Resulting Numbers: [140]\n140,73 unequal: No Solution\nExploring Operation: 121-19=102, Resulting Numbers: [102]\n102,73 unequal: No Solution\nExploring Operation: 19*121=2299, Resulting Numbers: [2299]\n2299,73 unequal: No Solution\nMoving to Node #0,3,2,0\nCurrent State: 73:[102], Operations: ['84-19=65', '52+65=117', '117-15=102']\nMoving to Node #0,0,2,0\nCurrent State: 73:[102], Operations: ['84-15=69', '52+69=121', '121-19=102']\nMoving to Node #0,1,2\nCurrent State: 73:[19, 17], Operations: ['52+15=67', '84-67=17']\nExploring Operation: 19*17=323, Resulting Numbers: [323]\n323,73 unequal: No Solution\nExploring Operation: 19+17=36, Resulting Numbers: [36]\n36,73 unequal: No Solution\nExploring Operation: 19-17=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nMoving to Node #0,1,4,0\nCurrent State: 73:[132], Operations: ['52+15=67', '84-19=65', '67+65=132']\nMoving to Node #0,2,3\nCurrent State: 73:[15, 13], Operations: ['52+19=71', '84-71=13']\nExploring Operation: 15+13=28, Resulting Numbers: [28]\n28,73 unequal: No Solution\nExploring Operation: 15*13=195, Resulting Numbers: [195]\n195,73 unequal: No Solution\nExploring Operation: 15-13=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 73:[36], Operations: ['52+15=67', '84-67=17', '19+17=36']\nMoving to Node #0,2,3,0\nCurrent State: 73:[28], Operations: ['52+19=71', '84-71=13', '15+13=28']\nMoving to Node #0,3,3,0\nCurrent State: 73:[132], Operations: ['84-19=65', '52+15=67', '65+67=132']\nMoving to Node #0,3,2,0\nCurrent State: 73:[132], Operations: ['84-19=65', '52+65=117', '15+117=132']\nMoving to Node #0,3,0,0\nCurrent State: 73:[132], Operations: ['84-19=65', '15+65=80', '52+80=132']\nMoving to Node #0,1,1,0\nCurrent State: 73:[132], Operations: ['52+15=67', '67-19=48', '84+48=132']\nMoving to Node #0,0,2,0\nCurrent State: 73:[140], Operations: ['84-15=69', '52+69=121', '19+121=140']\nMoving to Node #0,0,1,0\nCurrent State: 73:[140], Operations: ['84-15=69', '52+19=71', '69+71=140']\nMoving to Node #0,0,4,0\nCurrent State: 73:[140], Operations: ['84-15=69', '19+69=88', '52+88=140']\nMoving to Node #0,2,2,0\nCurrent State: 73:[140], Operations: ['52+19=71', '84-15=69', '71+69=140']\nMoving to Node #0,2,0,0\nCurrent State: 73:[140], Operations: ['52+19=71', '71-15=56', '84+56=140']\nMoving to Node #0,2,1,0\nCurrent State: 73:[2], Operations: ['52+19=71', '15+71=86', '86-84=2']\nMoving to Node #0,3,3,0\nCurrent State: 73:[2], Operations: ['84-19=65', '52+15=67', '67-65=2']\nMoving to Node #0,3,1,0\nCurrent State: 73:[2], Operations: ['84-19=65', '65-15=50', '52-50=2']\nMoving to Node #0,2,3,0\nCurrent State: 73:[2], Operations: ['52+19=71', '84-71=13', '15-13=2']\nMoving to Node #0,1,4,0\nCurrent State: 73:[2], Operations: ['52+15=67', '84-19=65', '67-65=2']\nMoving to Node #0,1,2,0\nCurrent State: 73:[2], Operations: ['52+15=67', '84-67=17', '19-17=2']\nMoving to Node #0,4,4,0\nCurrent State: 73:[2], Operations: ['15+19=34', '84-34=50', '52-50=2']\nMoving to Node #0,0,3,0\nCurrent State: 73:[2], Operations: ['84-15=69', '69-19=50', '52-50=2']\nMoving to Node #0,2,2,0\nCurrent State: 73:[2], Operations: ['52+19=71', '84-15=69', '71-69=2']\nMoving to Node #0,0,1,0\nCurrent State: 73:[2], Operations: ['84-15=69', '52+19=71', '71-69=2']\nMoving to Node #0,4,3,0\nCurrent State: 73:[2], Operations: ['15+19=34', '84-52=32', '34-32=2']\nMoving to Node #0,4,2,0\nCurrent State: 73:[2], Operations: ['15+19=34', '52+34=86', '86-84=2']\nMoving to Node #0,1,0,0\nCurrent State: 73:[2], Operations: ['52+15=67', '19+67=86', '86-84=2']\nMoving to Node #0,4,2,0\nCurrent State: 73:[170], Operations: ['15+19=34', '52+34=86', '84+86=170']\nMoving to Node #0,4,1,0\nCurrent State: 73:[170], Operations: ['15+19=34', '84+34=118', '52+118=170']\nMoving to Node #0,1,3,0\nCurrent State: 73:[170], Operations: ['52+15=67', '84+19=103', '67+103=170']\nMoving to Node #0,2,4,0\nCurrent State: 73:[170], Operations: ['52+19=71', '15+84=99', '71+99=170']\nMoving to Node #0,1,0,0\nCurrent State: 73:[170], Operations: ['52+15=67', '19+67=86', '84+86=170']\nMoving to Node #0,2,1,0\nCurrent State: 73:[170], Operations: ['52+19=71', '15+71=86', '84+86=170']\nMoving to Node #0,2,3,0\nCurrent State: 73:[195], Operations: ['52+19=71', '84-71=13', '15*13=195']\nMoving to Node #0,1,2,0\nCurrent State: 73:[323], Operations: ['52+15=67', '84-67=17', '19*17=323']\nMoving to Node #0,4,3,0\nCurrent State: 73:[1088], Operations: ['15+19=34', '84-52=32', '34*32=1088']\nMoving to Node #0,4,0,0\nCurrent State: 73:[1512], Operations: ['15+19=34', '52-34=18', '84*18=1512']\nMoving to Node #0,3,2,0\nCurrent State: 73:[1755], Operations: ['84-19=65', '52+65=117', '15*117=1755']\nMoving to Node #0,0,0,0\nCurrent State: 73:[2277], Operations: ['84-15=69', '52-19=33', '69*33=2277']\nMoving to Node #0,0,2,0\nCurrent State: 73:[2299], Operations: ['84-15=69', '52+69=121', '19*121=2299']\nMoving to Node #0,3,4,0\nCurrent State: 73:[2405], Operations: ['84-19=65', '52-15=37', '65*37=2405']\nMoving to Node #0,0,3,0\nCurrent State: 73:[2600], Operations: ['84-15=69', '69-19=50', '52*50=2600']\nMoving to Node #0,3,1,0\nCurrent State: 73:[2600], Operations: ['84-19=65', '65-15=50', '52*50=2600']\nMoving to Node #0,4,4,0\nCurrent State: 73:[2600], Operations: ['15+19=34', '84-34=50', '52*50=2600']\nMoving to Node #0,1,1,0\nCurrent State: 73:[4032], Operations: ['52+15=67', '67-19=48', '84*48=4032']\nMoving to Node #0,3,0,0\nCurrent State: 73:[4160], Operations: ['84-19=65', '15+65=80', '52*80=4160']\nMoving to Node #0,1,4,0\nCurrent State: 73:[4355], Operations: ['52+15=67', '84-19=65', '67*65=4355']\nMoving to Node #0,3,3,0\nCurrent State: 73:[4355], Operations: ['84-19=65', '52+15=67', '65*67=4355']\nMoving to Node #0,0,4,0\nCurrent State: 73:[4576], Operations: ['84-15=69', '19+69=88', '52*88=4576']\nMoving to Node #0,2,0,0\nCurrent State: 73:[4704], Operations: ['52+19=71', '71-15=56', '84*56=4704']\nMoving to Node #0,2,2,0\nCurrent State: 73:[4899], Operations: ['52+19=71', '84-15=69', '71*69=4899']\nMoving to Node #0,0,1,0\nCurrent State: 73:[4899], Operations: ['84-15=69', '52+19=71', '69*71=4899']\nMoving to Node #0,4,1,0\nCurrent State: 73:[6136], Operations: ['15+19=34', '84+34=118', '52*118=6136']\nMoving to Node #0,1,3,0\nCurrent State: 73:[6901], Operations: ['52+15=67', '84+19=103', '67*103=6901']\nMoving to Node #0,2,4,0\nCurrent State: 73:[7029], Operations: ['52+19=71', '15+84=99', '71*99=7029']\nMoving to Node #0,1,0,0\nCurrent State: 73:[7224], Operations: ['52+15=67', '19+67=86', '84*86=7224']\nMoving to Node #0,2,1,0\nCurrent State: 73:[7224], Operations: ['52+19=71', '15+71=86', '84*86=7224']\nMoving to Node #0,4,2,0\nCurrent State: 73:[7224], Operations: ['15+19=34', '52+34=86', '84*86=7224']\nNo solution found.", "role": "assistant" } ]
[ 12, 81, 17, 92 ]
16
[ "12+81=93", "17+92=109", "109-93=16" ]
Current State: 16:[12, 81, 17, 92], Operations: [] Exploring Operation: 81-17=64, Resulting Numbers: [12, 92, 64] Generated Node #0,0: 16:[12, 92, 64] Operation: 81-17=64 Exploring Operation: 92-81=11, Resulting Numbers: [12, 17, 11] Generated Node #0,1: 16:[12, 17, 11] Operation: 92-81=11 Moving to Node #0,1 Current State: 16:[12, 17, 11], Operations: ['92-81=11'] Exploring Operation: 12+11=23, Resulting Numbers: [17, 23] Generated Node #0,1,0: 16:[17, 23] Operation: 12+11=23 Exploring Operation: 17-11=6, Resulting Numbers: [12, 6] Generated Node #0,1,1: 16:[12, 6] Operation: 17-11=6 Moving to Node #0,0 Current State: 16:[12, 92, 64], Operations: ['81-17=64'] Exploring Operation: 92-64=28, Resulting Numbers: [12, 28] Generated Node #0,0,0: 16:[12, 28] Operation: 92-64=28 Exploring Operation: 92-12=80, Resulting Numbers: [64, 80] Generated Node #0,0,1: 16:[64, 80] Operation: 92-12=80 Moving to Node #0,1,0 Current State: 16:[17, 23], Operations: ['92-81=11', '12+11=23'] Exploring Operation: 23-17=6, Resulting Numbers: [6] 6,16 unequal: No Solution Exploring Operation: 17+23=40, Resulting Numbers: [40] 40,16 unequal: No Solution Moving to Node #0,1,1 Current State: 16:[12, 6], Operations: ['92-81=11', '17-11=6'] Exploring Operation: 12+6=18, Resulting Numbers: [18] 18,16 unequal: No Solution Exploring Operation: 12-6=6, Resulting Numbers: [6] 6,16 unequal: No Solution Moving to Node #0,1,1,0 Current State: 16:[18], Operations: ['92-81=11', '17-11=6', '12+6=18'] Moving to Node #0,0,0 Current State: 16:[12, 28], Operations: ['81-17=64', '92-64=28'] Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
0.989583
bfs_2
Current State: 16:[12, 81, 17, 92], Operations: [] Exploring Operation: 12+81=93, Resulting Numbers: [17, 92, 93] Generated Node #2: [17, 92, 93] from Operation: 12+81=93 Current State: 16:[17, 92, 93], Operations: ['12+81=93'] Exploring Operation: 17+92=109, Resulting Numbers: [93, 109] Generated Node #3: [93, 109] from Operation: 17+92=109 Current State: 16:[93, 109], Operations: ['12+81=93', '17+92=109'] Exploring Operation: 109-93=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
sum_heuristic
[ { "content": "Make 16 with the numbers [12, 81, 17, 92] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 16:[12, 81, 17, 92], Operations: []\nExploring Operation: 81-17=64, Resulting Numbers: [12, 92, 64]\nGenerated Node #0,0: 16:[12, 92, 64] Operation: 81-17=64\nExploring Operation: 92-81=11, Resulting Numbers: [12, 17, 11]\nGenerated Node #0,1: 16:[12, 17, 11] Operation: 92-81=11\nMoving to Node #0,1\nCurrent State: 16:[12, 17, 11], Operations: ['92-81=11']\nExploring Operation: 12+11=23, Resulting Numbers: [17, 23]\nGenerated Node #0,1,0: 16:[17, 23] Operation: 12+11=23\nExploring Operation: 17-11=6, Resulting Numbers: [12, 6]\nGenerated Node #0,1,1: 16:[12, 6] Operation: 17-11=6\nMoving to Node #0,0\nCurrent State: 16:[12, 92, 64], Operations: ['81-17=64']\nExploring Operation: 92-64=28, Resulting Numbers: [12, 28]\nGenerated Node #0,0,0: 16:[12, 28] Operation: 92-64=28\nExploring Operation: 92-12=80, Resulting Numbers: [64, 80]\nGenerated Node #0,0,1: 16:[64, 80] Operation: 92-12=80\nMoving to Node #0,1,0\nCurrent State: 16:[17, 23], Operations: ['92-81=11', '12+11=23']\nExploring Operation: 23-17=6, Resulting Numbers: [6]\n6,16 unequal: No Solution\nExploring Operation: 17+23=40, Resulting Numbers: [40]\n40,16 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 16:[12, 6], Operations: ['92-81=11', '17-11=6']\nExploring Operation: 12+6=18, Resulting Numbers: [18]\n18,16 unequal: No Solution\nExploring Operation: 12-6=6, Resulting Numbers: [6]\n6,16 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 16:[18], Operations: ['92-81=11', '17-11=6', '12+6=18']\nMoving to Node #0,0,0\nCurrent State: 16:[12, 28], Operations: ['81-17=64', '92-64=28']\nExploring Operation: 28-12=16, Resulting Numbers: [16]\n16,16 equal: Goal Reached\n", "role": "assistant" } ]
[ 67, 2, 73, 81 ]
45
[ "81-67=14", "2*14=28", "73-28=45" ]
Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 67-2=65, Resulting Numbers: [73, 81, 65] Generated Node #0,0: 45:[73, 81, 65] Operation: 67-2=65 Moving to Node #0,0 Current State: 45:[73, 81, 65], Operations: ['67-2=65'] Exploring Operation: 81-73=8, Resulting Numbers: [65, 8] Generated Node #0,0,0: 45:[65, 8] Operation: 81-73=8 Moving to Node #0,0,0 Current State: 45:[65, 8], Operations: ['67-2=65', '81-73=8'] Exploring Operation: 65-8=57, Resulting Numbers: [57] 57,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[65, 8], Operations: ['67-2=65', '81-73=8'] Exploring Operation: 65+8=73, Resulting Numbers: [73] 73,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[73, 81, 65], Operations: ['67-2=65'] Exploring Operation: 81-65=16, Resulting Numbers: [73, 16] Generated Node #0,0,1: 45:[73, 16] Operation: 81-65=16 Moving to Node #0,0,1 Current State: 45:[73, 16], Operations: ['67-2=65', '81-65=16'] Exploring Operation: 73-16=57, Resulting Numbers: [57] 57,45 unequal: No Solution Moving to Node #0,0,1 Current State: 45:[73, 16], Operations: ['67-2=65', '81-65=16'] Exploring Operation: 73+16=89, Resulting Numbers: [89] 89,45 unequal: No Solution Moving to Node #0,0 Current State: 45:[73, 81, 65], Operations: ['67-2=65'] Exploring Operation: 73-65=8, Resulting Numbers: [81, 8] Generated Node #0,0,2: 45:[81, 8] Operation: 73-65=8 Moving to Node #0,0,2 Current State: 45:[81, 8], Operations: ['67-2=65', '73-65=8'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[81, 8], Operations: ['67-2=65', '73-65=8'] Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,45 unequal: No Solution Moving to Node #0 Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 73-2=71, Resulting Numbers: [67, 81, 71] Generated Node #0,1: 45:[67, 81, 71] Operation: 73-2=71 Moving to Node #0,1 Current State: 45:[67, 81, 71], Operations: ['73-2=71'] Exploring Operation: 81-67=14, Resulting Numbers: [71, 14] Generated Node #0,1,0: 45:[71, 14] Operation: 81-67=14 Moving to Node #0,1,0 Current State: 45:[71, 14], Operations: ['73-2=71', '81-67=14'] Exploring Operation: 71-14=57, Resulting Numbers: [57] 57,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[71, 14], Operations: ['73-2=71', '81-67=14'] Exploring Operation: 71+14=85, Resulting Numbers: [85] 85,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[67, 81, 71], Operations: ['73-2=71'] Exploring Operation: 81-71=10, Resulting Numbers: [67, 10] Generated Node #0,1,1: 45:[67, 10] Operation: 81-71=10 Moving to Node #0,1,1 Current State: 45:[67, 10], Operations: ['73-2=71', '81-71=10'] Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,45 unequal: No Solution Moving to Node #0,1,1 Current State: 45:[67, 10], Operations: ['73-2=71', '81-71=10'] Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,45 unequal: No Solution Moving to Node #0,1 Current State: 45:[67, 81, 71], Operations: ['73-2=71'] Exploring Operation: 71-67=4, Resulting Numbers: [81, 4] Generated Node #0,1,2: 45:[81, 4] Operation: 71-67=4 Moving to Node #0,1,2 Current State: 45:[81, 4], Operations: ['73-2=71', '71-67=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,45 unequal: No Solution Moving to Node #0,1,2 Current State: 45:[81, 4], Operations: ['73-2=71', '71-67=4'] Exploring Operation: 81+4=85, Resulting Numbers: [85] 85,45 unequal: No Solution Moving to Node #0 Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 81-2=79, Resulting Numbers: [67, 73, 79] Generated Node #0,2: 45:[67, 73, 79] Operation: 81-2=79 Moving to Node #0,2 Current State: 45:[67, 73, 79], Operations: ['81-2=79'] Exploring Operation: 79-67=12, Resulting Numbers: [73, 12] Generated Node #0,2,0: 45:[73, 12] Operation: 79-67=12 Moving to Node #0,2,0 Current State: 45:[73, 12], Operations: ['81-2=79', '79-67=12'] Exploring Operation: 73-12=61, Resulting Numbers: [61] 61,45 unequal: No Solution Moving to Node #0,2,0 Current State: 45:[73, 12], Operations: ['81-2=79', '79-67=12'] Exploring Operation: 73+12=85, Resulting Numbers: [85] 85,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[67, 73, 79], Operations: ['81-2=79'] Exploring Operation: 79-73=6, Resulting Numbers: [67, 6] Generated Node #0,2,1: 45:[67, 6] Operation: 79-73=6 Moving to Node #0,2,1 Current State: 45:[67, 6], Operations: ['81-2=79', '79-73=6'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[67, 6], Operations: ['81-2=79', '79-73=6'] Exploring Operation: 67+6=73, Resulting Numbers: [73] 73,45 unequal: No Solution Moving to Node #0,2 Current State: 45:[67, 73, 79], Operations: ['81-2=79'] Exploring Operation: 73-67=6, Resulting Numbers: [79, 6] Generated Node #0,2,2: 45:[79, 6] Operation: 73-67=6 Moving to Node #0,2,2 Current State: 45:[79, 6], Operations: ['81-2=79', '73-67=6'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,45 unequal: No Solution Moving to Node #0,2,2 Current State: 45:[79, 6], Operations: ['81-2=79', '73-67=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,45 unequal: No Solution Moving to Node #0 Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 67+2=69, Resulting Numbers: [73, 81, 69] Generated Node #0,3: 45:[73, 81, 69] Operation: 67+2=69 Moving to Node #0,3 Current State: 45:[73, 81, 69], Operations: ['67+2=69'] Exploring Operation: 81-73=8, Resulting Numbers: [69, 8] Generated Node #0,3,0: 45:[69, 8] Operation: 81-73=8 Moving to Node #0,3,0 Current State: 45:[69, 8], Operations: ['67+2=69', '81-73=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,45 unequal: No Solution Moving to Node #0,3,0 Current State: 45:[69, 8], Operations: ['67+2=69', '81-73=8'] Exploring Operation: 69+8=77, Resulting Numbers: [77] 77,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[73, 81, 69], Operations: ['67+2=69'] Exploring Operation: 81-69=12, Resulting Numbers: [73, 12] Generated Node #0,3,1: 45:[73, 12] Operation: 81-69=12 Moving to Node #0,3,1 Current State: 45:[73, 12], Operations: ['67+2=69', '81-69=12'] Exploring Operation: 73-12=61, Resulting Numbers: [61] 61,45 unequal: No Solution Moving to Node #0,3,1 Current State: 45:[73, 12], Operations: ['67+2=69', '81-69=12'] Exploring Operation: 73+12=85, Resulting Numbers: [85] 85,45 unequal: No Solution Moving to Node #0,3 Current State: 45:[73, 81, 69], Operations: ['67+2=69'] Exploring Operation: 73-69=4, Resulting Numbers: [81, 4] Generated Node #0,3,2: 45:[81, 4] Operation: 73-69=4 Moving to Node #0,3,2 Current State: 45:[81, 4], Operations: ['67+2=69', '73-69=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,45 unequal: No Solution Moving to Node #0,3,2 Current State: 45:[81, 4], Operations: ['67+2=69', '73-69=4'] Exploring Operation: 81+4=85, Resulting Numbers: [85] 85,45 unequal: No Solution Moving to Node #0 Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 2+73=75, Resulting Numbers: [67, 81, 75] Generated Node #0,4: 45:[67, 81, 75] Operation: 2+73=75 Moving to Node #0,4 Current State: 45:[67, 81, 75], Operations: ['2+73=75'] Exploring Operation: 81-67=14, Resulting Numbers: [75, 14] Generated Node #0,4,0: 45:[75, 14] Operation: 81-67=14 Moving to Node #0,4,0 Current State: 45:[75, 14], Operations: ['2+73=75', '81-67=14'] Exploring Operation: 75-14=61, Resulting Numbers: [61] 61,45 unequal: No Solution Moving to Node #0,4,0 Current State: 45:[75, 14], Operations: ['2+73=75', '81-67=14'] Exploring Operation: 75+14=89, Resulting Numbers: [89] 89,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[67, 81, 75], Operations: ['2+73=75'] Exploring Operation: 81-75=6, Resulting Numbers: [67, 6] Generated Node #0,4,1: 45:[67, 6] Operation: 81-75=6 Moving to Node #0,4,1 Current State: 45:[67, 6], Operations: ['2+73=75', '81-75=6'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,45 unequal: No Solution Moving to Node #0,4,1 Current State: 45:[67, 6], Operations: ['2+73=75', '81-75=6'] Exploring Operation: 67+6=73, Resulting Numbers: [73] 73,45 unequal: No Solution Moving to Node #0,4 Current State: 45:[67, 81, 75], Operations: ['2+73=75'] Exploring Operation: 75-67=8, Resulting Numbers: [81, 8] Generated Node #0,4,2: 45:[81, 8] Operation: 75-67=8 Moving to Node #0,4,2 Current State: 45:[81, 8], Operations: ['2+73=75', '75-67=8'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,45 unequal: No Solution Moving to Node #0,4,2 Current State: 45:[81, 8], Operations: ['2+73=75', '75-67=8'] Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,45 unequal: No Solution Moving to Node #0 Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 2+81=83, Resulting Numbers: [67, 73, 83] Generated Node #0,5: 45:[67, 73, 83] Operation: 2+81=83 Moving to Node #0,5 Current State: 45:[67, 73, 83], Operations: ['2+81=83'] Exploring Operation: 83-67=16, Resulting Numbers: [73, 16] Generated Node #0,5,0: 45:[73, 16] Operation: 83-67=16 Moving to Node #0,5,0 Current State: 45:[73, 16], Operations: ['2+81=83', '83-67=16'] Exploring Operation: 73-16=57, Resulting Numbers: [57] 57,45 unequal: No Solution Moving to Node #0,5,0 Current State: 45:[73, 16], Operations: ['2+81=83', '83-67=16'] Exploring Operation: 73+16=89, Resulting Numbers: [89] 89,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[67, 73, 83], Operations: ['2+81=83'] Exploring Operation: 83-73=10, Resulting Numbers: [67, 10] Generated Node #0,5,1: 45:[67, 10] Operation: 83-73=10 Moving to Node #0,5,1 Current State: 45:[67, 10], Operations: ['2+81=83', '83-73=10'] Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,45 unequal: No Solution Moving to Node #0,5,1 Current State: 45:[67, 10], Operations: ['2+81=83', '83-73=10'] Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,45 unequal: No Solution Moving to Node #0,5 Current State: 45:[67, 73, 83], Operations: ['2+81=83'] Exploring Operation: 73-67=6, Resulting Numbers: [83, 6] Generated Node #0,5,2: 45:[83, 6] Operation: 73-67=6 Moving to Node #0,5,2 Current State: 45:[83, 6], Operations: ['2+81=83', '73-67=6'] Exploring Operation: 83-6=77, Resulting Numbers: [77] 77,45 unequal: No Solution Moving to Node #0,5,2 Current State: 45:[83, 6], Operations: ['2+81=83', '73-67=6'] Exploring Operation: 83+6=89, Resulting Numbers: [89] 89,45 unequal: No Solution Moving to Node #0 Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [2, 73, 14] Generated Node #0,6: 45:[2, 73, 14] Operation: 81-67=14 Moving to Node #0,6 Current State: 45:[2, 73, 14], Operations: ['81-67=14'] Exploring Operation: 2*14=28, Resulting Numbers: [73, 28] Generated Node #0,6,0: 45:[73, 28] Operation: 2*14=28 Moving to Node #0,6,0 Current State: 45:[73, 28], Operations: ['81-67=14', '2*14=28'] Exploring Operation: 73-28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
0.944444
dfs
Current State: 45:[67, 2, 73, 81], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [2, 73, 14] Generated Node #2: [2, 73, 14] from Operation: 81-67=14 Current State: 45:[2, 73, 14], Operations: ['81-67=14'] Exploring Operation: 2*14=28, Resulting Numbers: [73, 28] Generated Node #3: [73, 28] from Operation: 2*14=28 Current State: 45:[73, 28], Operations: ['81-67=14', '2*14=28'] Exploring Operation: 73-28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
sum_heuristic
[ { "content": "Make 45 with the numbers [67, 2, 73, 81] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 45:[67, 2, 73, 81], Operations: []\nExploring Operation: 67-2=65, Resulting Numbers: [73, 81, 65]\nGenerated Node #0,0: 45:[73, 81, 65] Operation: 67-2=65\nMoving to Node #0,0\nCurrent State: 45:[73, 81, 65], Operations: ['67-2=65']\nExploring Operation: 81-73=8, Resulting Numbers: [65, 8]\nGenerated Node #0,0,0: 45:[65, 8] Operation: 81-73=8\nMoving to Node #0,0,0\nCurrent State: 45:[65, 8], Operations: ['67-2=65', '81-73=8']\nExploring Operation: 65-8=57, Resulting Numbers: [57]\n57,45 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 45:[65, 8], Operations: ['67-2=65', '81-73=8']\nExploring Operation: 65+8=73, Resulting Numbers: [73]\n73,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[73, 81, 65], Operations: ['67-2=65']\nExploring Operation: 81-65=16, Resulting Numbers: [73, 16]\nGenerated Node #0,0,1: 45:[73, 16] Operation: 81-65=16\nMoving to Node #0,0,1\nCurrent State: 45:[73, 16], Operations: ['67-2=65', '81-65=16']\nExploring Operation: 73-16=57, Resulting Numbers: [57]\n57,45 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 45:[73, 16], Operations: ['67-2=65', '81-65=16']\nExploring Operation: 73+16=89, Resulting Numbers: [89]\n89,45 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 45:[73, 81, 65], Operations: ['67-2=65']\nExploring Operation: 73-65=8, Resulting Numbers: [81, 8]\nGenerated Node #0,0,2: 45:[81, 8] Operation: 73-65=8\nMoving to Node #0,0,2\nCurrent State: 45:[81, 8], Operations: ['67-2=65', '73-65=8']\nExploring Operation: 81-8=73, Resulting Numbers: [73]\n73,45 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 45:[81, 8], Operations: ['67-2=65', '73-65=8']\nExploring Operation: 81+8=89, Resulting Numbers: [89]\n89,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[67, 2, 73, 81], Operations: []\nExploring Operation: 73-2=71, Resulting Numbers: [67, 81, 71]\nGenerated Node #0,1: 45:[67, 81, 71] Operation: 73-2=71\nMoving to Node #0,1\nCurrent State: 45:[67, 81, 71], Operations: ['73-2=71']\nExploring Operation: 81-67=14, Resulting Numbers: [71, 14]\nGenerated Node #0,1,0: 45:[71, 14] Operation: 81-67=14\nMoving to Node #0,1,0\nCurrent State: 45:[71, 14], Operations: ['73-2=71', '81-67=14']\nExploring Operation: 71-14=57, Resulting Numbers: [57]\n57,45 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 45:[71, 14], Operations: ['73-2=71', '81-67=14']\nExploring Operation: 71+14=85, Resulting Numbers: [85]\n85,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[67, 81, 71], Operations: ['73-2=71']\nExploring Operation: 81-71=10, Resulting Numbers: [67, 10]\nGenerated Node #0,1,1: 45:[67, 10] Operation: 81-71=10\nMoving to Node #0,1,1\nCurrent State: 45:[67, 10], Operations: ['73-2=71', '81-71=10']\nExploring Operation: 67-10=57, Resulting Numbers: [57]\n57,45 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 45:[67, 10], Operations: ['73-2=71', '81-71=10']\nExploring Operation: 67+10=77, Resulting Numbers: [77]\n77,45 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 45:[67, 81, 71], Operations: ['73-2=71']\nExploring Operation: 71-67=4, Resulting Numbers: [81, 4]\nGenerated Node #0,1,2: 45:[81, 4] Operation: 71-67=4\nMoving to Node #0,1,2\nCurrent State: 45:[81, 4], Operations: ['73-2=71', '71-67=4']\nExploring Operation: 81-4=77, Resulting Numbers: [77]\n77,45 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 45:[81, 4], Operations: ['73-2=71', '71-67=4']\nExploring Operation: 81+4=85, Resulting Numbers: [85]\n85,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[67, 2, 73, 81], Operations: []\nExploring Operation: 81-2=79, Resulting Numbers: [67, 73, 79]\nGenerated Node #0,2: 45:[67, 73, 79] Operation: 81-2=79\nMoving to Node #0,2\nCurrent State: 45:[67, 73, 79], Operations: ['81-2=79']\nExploring Operation: 79-67=12, Resulting Numbers: [73, 12]\nGenerated Node #0,2,0: 45:[73, 12] Operation: 79-67=12\nMoving to Node #0,2,0\nCurrent State: 45:[73, 12], Operations: ['81-2=79', '79-67=12']\nExploring Operation: 73-12=61, Resulting Numbers: [61]\n61,45 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 45:[73, 12], Operations: ['81-2=79', '79-67=12']\nExploring Operation: 73+12=85, Resulting Numbers: [85]\n85,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[67, 73, 79], Operations: ['81-2=79']\nExploring Operation: 79-73=6, Resulting Numbers: [67, 6]\nGenerated Node #0,2,1: 45:[67, 6] Operation: 79-73=6\nMoving to Node #0,2,1\nCurrent State: 45:[67, 6], Operations: ['81-2=79', '79-73=6']\nExploring Operation: 67-6=61, Resulting Numbers: [61]\n61,45 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 45:[67, 6], Operations: ['81-2=79', '79-73=6']\nExploring Operation: 67+6=73, Resulting Numbers: [73]\n73,45 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 45:[67, 73, 79], Operations: ['81-2=79']\nExploring Operation: 73-67=6, Resulting Numbers: [79, 6]\nGenerated Node #0,2,2: 45:[79, 6] Operation: 73-67=6\nMoving to Node #0,2,2\nCurrent State: 45:[79, 6], Operations: ['81-2=79', '73-67=6']\nExploring Operation: 79-6=73, Resulting Numbers: [73]\n73,45 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 45:[79, 6], Operations: ['81-2=79', '73-67=6']\nExploring Operation: 79+6=85, Resulting Numbers: [85]\n85,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[67, 2, 73, 81], Operations: []\nExploring Operation: 67+2=69, Resulting Numbers: [73, 81, 69]\nGenerated Node #0,3: 45:[73, 81, 69] Operation: 67+2=69\nMoving to Node #0,3\nCurrent State: 45:[73, 81, 69], Operations: ['67+2=69']\nExploring Operation: 81-73=8, Resulting Numbers: [69, 8]\nGenerated Node #0,3,0: 45:[69, 8] Operation: 81-73=8\nMoving to Node #0,3,0\nCurrent State: 45:[69, 8], Operations: ['67+2=69', '81-73=8']\nExploring Operation: 69-8=61, Resulting Numbers: [61]\n61,45 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 45:[69, 8], Operations: ['67+2=69', '81-73=8']\nExploring Operation: 69+8=77, Resulting Numbers: [77]\n77,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[73, 81, 69], Operations: ['67+2=69']\nExploring Operation: 81-69=12, Resulting Numbers: [73, 12]\nGenerated Node #0,3,1: 45:[73, 12] Operation: 81-69=12\nMoving to Node #0,3,1\nCurrent State: 45:[73, 12], Operations: ['67+2=69', '81-69=12']\nExploring Operation: 73-12=61, Resulting Numbers: [61]\n61,45 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 45:[73, 12], Operations: ['67+2=69', '81-69=12']\nExploring Operation: 73+12=85, Resulting Numbers: [85]\n85,45 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 45:[73, 81, 69], Operations: ['67+2=69']\nExploring Operation: 73-69=4, Resulting Numbers: [81, 4]\nGenerated Node #0,3,2: 45:[81, 4] Operation: 73-69=4\nMoving to Node #0,3,2\nCurrent State: 45:[81, 4], Operations: ['67+2=69', '73-69=4']\nExploring Operation: 81-4=77, Resulting Numbers: [77]\n77,45 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 45:[81, 4], Operations: ['67+2=69', '73-69=4']\nExploring Operation: 81+4=85, Resulting Numbers: [85]\n85,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[67, 2, 73, 81], Operations: []\nExploring Operation: 2+73=75, Resulting Numbers: [67, 81, 75]\nGenerated Node #0,4: 45:[67, 81, 75] Operation: 2+73=75\nMoving to Node #0,4\nCurrent State: 45:[67, 81, 75], Operations: ['2+73=75']\nExploring Operation: 81-67=14, Resulting Numbers: [75, 14]\nGenerated Node #0,4,0: 45:[75, 14] Operation: 81-67=14\nMoving to Node #0,4,0\nCurrent State: 45:[75, 14], Operations: ['2+73=75', '81-67=14']\nExploring Operation: 75-14=61, Resulting Numbers: [61]\n61,45 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 45:[75, 14], Operations: ['2+73=75', '81-67=14']\nExploring Operation: 75+14=89, Resulting Numbers: [89]\n89,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[67, 81, 75], Operations: ['2+73=75']\nExploring Operation: 81-75=6, Resulting Numbers: [67, 6]\nGenerated Node #0,4,1: 45:[67, 6] Operation: 81-75=6\nMoving to Node #0,4,1\nCurrent State: 45:[67, 6], Operations: ['2+73=75', '81-75=6']\nExploring Operation: 67-6=61, Resulting Numbers: [61]\n61,45 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 45:[67, 6], Operations: ['2+73=75', '81-75=6']\nExploring Operation: 67+6=73, Resulting Numbers: [73]\n73,45 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 45:[67, 81, 75], Operations: ['2+73=75']\nExploring Operation: 75-67=8, Resulting Numbers: [81, 8]\nGenerated Node #0,4,2: 45:[81, 8] Operation: 75-67=8\nMoving to Node #0,4,2\nCurrent State: 45:[81, 8], Operations: ['2+73=75', '75-67=8']\nExploring Operation: 81-8=73, Resulting Numbers: [73]\n73,45 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 45:[81, 8], Operations: ['2+73=75', '75-67=8']\nExploring Operation: 81+8=89, Resulting Numbers: [89]\n89,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[67, 2, 73, 81], Operations: []\nExploring Operation: 2+81=83, Resulting Numbers: [67, 73, 83]\nGenerated Node #0,5: 45:[67, 73, 83] Operation: 2+81=83\nMoving to Node #0,5\nCurrent State: 45:[67, 73, 83], Operations: ['2+81=83']\nExploring Operation: 83-67=16, Resulting Numbers: [73, 16]\nGenerated Node #0,5,0: 45:[73, 16] Operation: 83-67=16\nMoving to Node #0,5,0\nCurrent State: 45:[73, 16], Operations: ['2+81=83', '83-67=16']\nExploring Operation: 73-16=57, Resulting Numbers: [57]\n57,45 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 45:[73, 16], Operations: ['2+81=83', '83-67=16']\nExploring Operation: 73+16=89, Resulting Numbers: [89]\n89,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[67, 73, 83], Operations: ['2+81=83']\nExploring Operation: 83-73=10, Resulting Numbers: [67, 10]\nGenerated Node #0,5,1: 45:[67, 10] Operation: 83-73=10\nMoving to Node #0,5,1\nCurrent State: 45:[67, 10], Operations: ['2+81=83', '83-73=10']\nExploring Operation: 67-10=57, Resulting Numbers: [57]\n57,45 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 45:[67, 10], Operations: ['2+81=83', '83-73=10']\nExploring Operation: 67+10=77, Resulting Numbers: [77]\n77,45 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 45:[67, 73, 83], Operations: ['2+81=83']\nExploring Operation: 73-67=6, Resulting Numbers: [83, 6]\nGenerated Node #0,5,2: 45:[83, 6] Operation: 73-67=6\nMoving to Node #0,5,2\nCurrent State: 45:[83, 6], Operations: ['2+81=83', '73-67=6']\nExploring Operation: 83-6=77, Resulting Numbers: [77]\n77,45 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 45:[83, 6], Operations: ['2+81=83', '73-67=6']\nExploring Operation: 83+6=89, Resulting Numbers: [89]\n89,45 unequal: No Solution\nMoving to Node #0\nCurrent State: 45:[67, 2, 73, 81], Operations: []\nExploring Operation: 81-67=14, Resulting Numbers: [2, 73, 14]\nGenerated Node #0,6: 45:[2, 73, 14] Operation: 81-67=14\nMoving to Node #0,6\nCurrent State: 45:[2, 73, 14], Operations: ['81-67=14']\nExploring Operation: 2*14=28, Resulting Numbers: [73, 28]\nGenerated Node #0,6,0: 45:[73, 28] Operation: 2*14=28\nMoving to Node #0,6,0\nCurrent State: 45:[73, 28], Operations: ['81-67=14', '2*14=28']\nExploring Operation: 73-28=45, Resulting Numbers: [45]\n45,45 equal: Goal Reached\n", "role": "assistant" } ]
[ 51, 6, 53, 80 ]
34
[ "53-51=2", "80/2=40", "40-6=34" ]
Current State: 34:[51, 6, 53, 80], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [6, 53, 29] Generated Node #0,0: 34:[6, 53, 29] Operation: 80-51=29 Moving to Node #0,0 Current State: 34:[6, 53, 29], Operations: ['80-51=29'] Exploring Operation: 53-29=24, Resulting Numbers: [6, 24] Generated Node #0,0,0: 34:[6, 24] Operation: 53-29=24 Moving to Node #0,0,0 Current State: 34:[6, 24], Operations: ['80-51=29', '53-29=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,34 unequal: No Solution Moving to Node #0,0,0,0 Current State: 34:[18], Operations: ['80-51=29', '53-29=24', '24-6=18'] No solution found.
0
bfs_1
Current State: 34:[51, 6, 53, 80], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [6, 80, 2] Generated Node #2: [6, 80, 2] from Operation: 53-51=2 Current State: 34:[6, 80, 2], Operations: ['53-51=2'] Exploring Operation: 80/2=40, Resulting Numbers: [6, 40] Generated Node #3: [6, 40] from Operation: 80/2=40 Current State: 34:[6, 40], Operations: ['53-51=2', '80/2=40'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
mult_heuristic
[ { "content": "Make 34 with the numbers [51, 6, 53, 80] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 34:[51, 6, 53, 80], Operations: []\nExploring Operation: 80-51=29, Resulting Numbers: [6, 53, 29]\nGenerated Node #0,0: 34:[6, 53, 29] Operation: 80-51=29\nMoving to Node #0,0\nCurrent State: 34:[6, 53, 29], Operations: ['80-51=29']\nExploring Operation: 53-29=24, Resulting Numbers: [6, 24]\nGenerated Node #0,0,0: 34:[6, 24] Operation: 53-29=24\nMoving to Node #0,0,0\nCurrent State: 34:[6, 24], Operations: ['80-51=29', '53-29=24']\nExploring Operation: 24-6=18, Resulting Numbers: [18]\n18,34 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 34:[18], Operations: ['80-51=29', '53-29=24', '24-6=18']\nNo solution found.", "role": "assistant" } ]
[ 50, 20, 7, 60 ]
19
[ "50+7=57", "60/20=3", "57/3=19" ]
Current State: 19:[50, 20, 7, 60], Operations: [] Exploring Operation: 60-50=10, Resulting Numbers: [20, 7, 10] Generated Node #0,0: 19:[20, 7, 10] Operation: 60-50=10 Moving to Node #0,0 Current State: 19:[20, 7, 10], Operations: ['60-50=10'] Exploring Operation: 7+10=17, Resulting Numbers: [20, 17] Generated Node #0,0,0: 19:[20, 17] Operation: 7+10=17 Moving to Node #0,0,0 Current State: 19:[20, 17], Operations: ['60-50=10', '7+10=17'] Exploring Operation: 20-17=3, Resulting Numbers: [3] 3,19 unequal: No Solution Moving to Node #0,0,0 Current State: 19:[20, 17], Operations: ['60-50=10', '7+10=17'] Exploring Operation: 20+17=37, Resulting Numbers: [37] 37,19 unequal: No Solution Moving to Node #0,0 Current State: 19:[20, 7, 10], Operations: ['60-50=10'] Exploring Operation: 20-7=13, Resulting Numbers: [10, 13] Generated Node #0,0,1: 19:[10, 13] Operation: 20-7=13 Moving to Node #0,0,1 Current State: 19:[10, 13], Operations: ['60-50=10', '20-7=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,19 unequal: No Solution Moving to Node #0,0,1 Current State: 19:[10, 13], Operations: ['60-50=10', '20-7=13'] Exploring Operation: 13-10=3, Resulting Numbers: [3] 3,19 unequal: No Solution Moving to Node #0,0 Current State: 19:[20, 7, 10], Operations: ['60-50=10'] Exploring Operation: 20+7=27, Resulting Numbers: [10, 27] Generated Node #0,0,2: 19:[10, 27] Operation: 20+7=27 Moving to Node #0,0,2 Current State: 19:[10, 27], Operations: ['60-50=10', '20+7=27'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,19 unequal: No Solution Moving to Node #0,0,2 Current State: 19:[10, 27], Operations: ['60-50=10', '20+7=27'] Exploring Operation: 10+27=37, Resulting Numbers: [37] 37,19 unequal: No Solution Moving to Node #0,0 Current State: 19:[20, 7, 10], Operations: ['60-50=10'] Exploring Operation: 10-7=3, Resulting Numbers: [20, 3] Generated Node #0,0,3: 19:[20, 3] Operation: 10-7=3 Moving to Node #0,0,3 Current State: 19:[20, 3], Operations: ['60-50=10', '10-7=3'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,19 unequal: No Solution Moving to Node #0,0,3 Current State: 19:[20, 3], Operations: ['60-50=10', '10-7=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,19 unequal: No Solution Moving to Node #0,0 Current State: 19:[20, 7, 10], Operations: ['60-50=10'] Exploring Operation: 20-10=10, Resulting Numbers: [7, 10] Generated Node #0,0,4: 19:[7, 10] Operation: 20-10=10 Moving to Node #0,0,4 Current State: 19:[7, 10], Operations: ['60-50=10', '20-10=10'] Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,19 unequal: No Solution Moving to Node #0,0,4 Current State: 19:[7, 10], Operations: ['60-50=10', '20-10=10'] Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,19 unequal: No Solution Moving to Node #0,0 Current State: 19:[20, 7, 10], Operations: ['60-50=10'] Exploring Operation: 20+10=30, Resulting Numbers: [7, 30] Generated Node #0,0,5: 19:[7, 30] Operation: 20+10=30 Moving to Node #0,0,5 Current State: 19:[7, 30], Operations: ['60-50=10', '20+10=30'] Exploring Operation: 30-7=23, Resulting Numbers: [23] 23,19 unequal: No Solution Moving to Node #0,0,5 Current State: 19:[7, 30], Operations: ['60-50=10', '20+10=30'] Exploring Operation: 7+30=37, Resulting Numbers: [37] 37,19 unequal: No Solution Moving to Node #0,0 Current State: 19:[20, 7, 10], Operations: ['60-50=10'] Exploring Operation: 20/10=2, Resulting Numbers: [7, 2] Generated Node #0,0,6: 19:[7, 2] Operation: 20/10=2 Moving to Node #0,0,6 Current State: 19:[7, 2], Operations: ['60-50=10', '20/10=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,19 unequal: No Solution Moving to Node #0,0,6 Current State: 19:[7, 2], Operations: ['60-50=10', '20/10=2'] Exploring Operation: 7+2=9, Resulting Numbers: [9] 9,19 unequal: No Solution Moving to Node #0,0,6 Current State: 19:[7, 2], Operations: ['60-50=10', '20/10=2'] Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,19 unequal: No Solution
0
dfs
Current State: 19:[50, 20, 7, 60], Operations: [] Exploring Operation: 50+7=57, Resulting Numbers: [20, 60, 57] Generated Node #2: [20, 60, 57] from Operation: 50+7=57 Current State: 19:[20, 60, 57], Operations: ['50+7=57'] Exploring Operation: 60/20=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 60/20=3 Current State: 19:[57, 3], Operations: ['50+7=57', '60/20=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
sum_heuristic
[ { "content": "Make 19 with the numbers [50, 20, 7, 60] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 19:[50, 20, 7, 60], Operations: []\nExploring Operation: 60-50=10, Resulting Numbers: [20, 7, 10]\nGenerated Node #0,0: 19:[20, 7, 10] Operation: 60-50=10\nMoving to Node #0,0\nCurrent State: 19:[20, 7, 10], Operations: ['60-50=10']\nExploring Operation: 7+10=17, Resulting Numbers: [20, 17]\nGenerated Node #0,0,0: 19:[20, 17] Operation: 7+10=17\nMoving to Node #0,0,0\nCurrent State: 19:[20, 17], Operations: ['60-50=10', '7+10=17']\nExploring Operation: 20-17=3, Resulting Numbers: [3]\n3,19 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 19:[20, 17], Operations: ['60-50=10', '7+10=17']\nExploring Operation: 20+17=37, Resulting Numbers: [37]\n37,19 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 19:[20, 7, 10], Operations: ['60-50=10']\nExploring Operation: 20-7=13, Resulting Numbers: [10, 13]\nGenerated Node #0,0,1: 19:[10, 13] Operation: 20-7=13\nMoving to Node #0,0,1\nCurrent State: 19:[10, 13], Operations: ['60-50=10', '20-7=13']\nExploring Operation: 10+13=23, Resulting Numbers: [23]\n23,19 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 19:[10, 13], Operations: ['60-50=10', '20-7=13']\nExploring Operation: 13-10=3, Resulting Numbers: [3]\n3,19 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 19:[20, 7, 10], Operations: ['60-50=10']\nExploring Operation: 20+7=27, Resulting Numbers: [10, 27]\nGenerated Node #0,0,2: 19:[10, 27] Operation: 20+7=27\nMoving to Node #0,0,2\nCurrent State: 19:[10, 27], Operations: ['60-50=10', '20+7=27']\nExploring Operation: 27-10=17, Resulting Numbers: [17]\n17,19 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 19:[10, 27], Operations: ['60-50=10', '20+7=27']\nExploring Operation: 10+27=37, Resulting Numbers: [37]\n37,19 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 19:[20, 7, 10], Operations: ['60-50=10']\nExploring Operation: 10-7=3, Resulting Numbers: [20, 3]\nGenerated Node #0,0,3: 19:[20, 3] Operation: 10-7=3\nMoving to Node #0,0,3\nCurrent State: 19:[20, 3], Operations: ['60-50=10', '10-7=3']\nExploring Operation: 20-3=17, Resulting Numbers: [17]\n17,19 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 19:[20, 3], Operations: ['60-50=10', '10-7=3']\nExploring Operation: 20+3=23, Resulting Numbers: [23]\n23,19 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 19:[20, 7, 10], Operations: ['60-50=10']\nExploring Operation: 20-10=10, Resulting Numbers: [7, 10]\nGenerated Node #0,0,4: 19:[7, 10] Operation: 20-10=10\nMoving to Node #0,0,4\nCurrent State: 19:[7, 10], Operations: ['60-50=10', '20-10=10']\nExploring Operation: 7+10=17, Resulting Numbers: [17]\n17,19 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 19:[7, 10], Operations: ['60-50=10', '20-10=10']\nExploring Operation: 10-7=3, Resulting Numbers: [3]\n3,19 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 19:[20, 7, 10], Operations: ['60-50=10']\nExploring Operation: 20+10=30, Resulting Numbers: [7, 30]\nGenerated Node #0,0,5: 19:[7, 30] Operation: 20+10=30\nMoving to Node #0,0,5\nCurrent State: 19:[7, 30], Operations: ['60-50=10', '20+10=30']\nExploring Operation: 30-7=23, Resulting Numbers: [23]\n23,19 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 19:[7, 30], Operations: ['60-50=10', '20+10=30']\nExploring Operation: 7+30=37, Resulting Numbers: [37]\n37,19 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 19:[20, 7, 10], Operations: ['60-50=10']\nExploring Operation: 20/10=2, Resulting Numbers: [7, 2]\nGenerated Node #0,0,6: 19:[7, 2] Operation: 20/10=2\nMoving to Node #0,0,6\nCurrent State: 19:[7, 2], Operations: ['60-50=10', '20/10=2']\nExploring Operation: 7*2=14, Resulting Numbers: [14]\n14,19 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 19:[7, 2], Operations: ['60-50=10', '20/10=2']\nExploring Operation: 7+2=9, Resulting Numbers: [9]\n9,19 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 19:[7, 2], Operations: ['60-50=10', '20/10=2']\nExploring Operation: 7-2=5, Resulting Numbers: [5]\n5,19 unequal: No Solution\n", "role": "assistant" } ]
[ 2, 94, 84, 97 ]
68
[ "97-84=13", "2*13=26", "94-26=68" ]
Current State: 68:[2, 94, 84, 97], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [2, 84, 3] Generated Node #0,0: 68:[2, 84, 3] Operation: 97-94=3 Moving to Node #0,0 Current State: 68:[2, 84, 3], Operations: ['97-94=3'] Exploring Operation: 84/3=28, Resulting Numbers: [2, 28] Generated Node #0,0,0: 68:[2, 28] Operation: 84/3=28 Moving to Node #0,0,0 Current State: 68:[2, 28], Operations: ['97-94=3', '84/3=28'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,68 unequal: No Solution Moving to Node #0,0,0,0 Current State: 68:[14], Operations: ['97-94=3', '84/3=28', '28/2=14'] No solution found.
0
bfs_1
Current State: 68:[2, 94, 84, 97], Operations: [] Exploring Operation: 97-84=13, Resulting Numbers: [2, 94, 13] Generated Node #2: [2, 94, 13] from Operation: 97-84=13 Current State: 68:[2, 94, 13], Operations: ['97-84=13'] Exploring Operation: 2*13=26, Resulting Numbers: [94, 26] Generated Node #3: [94, 26] from Operation: 2*13=26 Current State: 68:[94, 26], Operations: ['97-84=13', '2*13=26'] Exploring Operation: 94-26=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
mult_heuristic
[ { "content": "Make 68 with the numbers [2, 94, 84, 97] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 68:[2, 94, 84, 97], Operations: []\nExploring Operation: 97-94=3, Resulting Numbers: [2, 84, 3]\nGenerated Node #0,0: 68:[2, 84, 3] Operation: 97-94=3\nMoving to Node #0,0\nCurrent State: 68:[2, 84, 3], Operations: ['97-94=3']\nExploring Operation: 84/3=28, Resulting Numbers: [2, 28]\nGenerated Node #0,0,0: 68:[2, 28] Operation: 84/3=28\nMoving to Node #0,0,0\nCurrent State: 68:[2, 28], Operations: ['97-94=3', '84/3=28']\nExploring Operation: 28/2=14, Resulting Numbers: [14]\n14,68 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 68:[14], Operations: ['97-94=3', '84/3=28', '28/2=14']\nNo solution found.", "role": "assistant" } ]
[ 94, 71, 13, 34 ]
73
[ "13+34=47", "94/47=2", "71+2=73" ]
Current State: 73:[94, 71, 13, 34], Operations: [] Exploring Operation: 71+13=84, Resulting Numbers: [94, 34, 84] Generated Node #0,0: 73:[94, 34, 84] Operation: 71+13=84 Exploring Operation: 94-13=81, Resulting Numbers: [71, 34, 81] Generated Node #0,1: 73:[71, 34, 81] Operation: 94-13=81 Exploring Operation: 94-34=60, Resulting Numbers: [71, 13, 60] Generated Node #0,2: 73:[71, 13, 60] Operation: 94-34=60 Exploring Operation: 13+34=47, Resulting Numbers: [94, 71, 47] Generated Node #0,3: 73:[94, 71, 47] Operation: 13+34=47 Exploring Operation: 94+13=107, Resulting Numbers: [71, 34, 107] Generated Node #0,4: 73:[71, 34, 107] Operation: 94+13=107 Moving to Node #0,1 Current State: 73:[71, 34, 81], Operations: ['94-13=81'] Exploring Operation: 81-34=47, Resulting Numbers: [71, 47] Generated Node #0,1,0: 73:[71, 47] Operation: 81-34=47 Exploring Operation: 34+81=115, Resulting Numbers: [71, 115] Generated Node #0,1,1: 73:[71, 115] Operation: 34+81=115 Exploring Operation: 71+34=105, Resulting Numbers: [81, 105] Generated Node #0,1,2: 73:[81, 105] Operation: 71+34=105 Exploring Operation: 71-34=37, Resulting Numbers: [81, 37] Generated Node #0,1,3: 73:[81, 37] Operation: 71-34=37 Exploring Operation: 81-71=10, Resulting Numbers: [34, 10] Generated Node #0,1,4: 73:[34, 10] Operation: 81-71=10 Moving to Node #0,3 Current State: 73:[94, 71, 47], Operations: ['13+34=47'] Exploring Operation: 94-47=47, Resulting Numbers: [71, 47] Generated Node #0,3,0: 73:[71, 47] Operation: 94-47=47 Exploring Operation: 71-47=24, Resulting Numbers: [94, 24] Generated Node #0,3,1: 73:[94, 24] Operation: 71-47=24 Exploring Operation: 94/47=2, Resulting Numbers: [71, 2] Generated Node #0,3,2: 73:[71, 2] Operation: 94/47=2 Exploring Operation: 71+47=118, Resulting Numbers: [94, 118] Generated Node #0,3,3: 73:[94, 118] Operation: 71+47=118 Exploring Operation: 94+47=141, Resulting Numbers: [71, 141] Generated Node #0,3,4: 73:[71, 141] Operation: 94+47=141 Moving to Node #0,0 Current State: 73:[94, 34, 84], Operations: ['71+13=84'] Exploring Operation: 84-34=50, Resulting Numbers: [94, 50] Generated Node #0,0,0: 73:[94, 50] Operation: 84-34=50 Exploring Operation: 94-34=60, Resulting Numbers: [84, 60] Generated Node #0,0,1: 73:[84, 60] Operation: 94-34=60 Exploring Operation: 94-84=10, Resulting Numbers: [34, 10] Generated Node #0,0,2: 73:[34, 10] Operation: 94-84=10 Exploring Operation: 94+34=128, Resulting Numbers: [84, 128] Generated Node #0,0,3: 73:[84, 128] Operation: 94+34=128 Exploring Operation: 34+84=118, Resulting Numbers: [94, 118] Generated Node #0,0,4: 73:[94, 118] Operation: 34+84=118 Moving to Node #0,2 Current State: 73:[71, 13, 60], Operations: ['94-34=60'] Exploring Operation: 71+13=84, Resulting Numbers: [60, 84] Generated Node #0,2,0: 73:[60, 84] Operation: 71+13=84 Exploring Operation: 71+60=131, Resulting Numbers: [13, 131] Generated Node #0,2,1: 73:[13, 131] Operation: 71+60=131 Exploring Operation: 71-13=58, Resulting Numbers: [60, 58] Generated Node #0,2,2: 73:[60, 58] Operation: 71-13=58 Exploring Operation: 60-13=47, Resulting Numbers: [71, 47] Generated Node #0,2,3: 73:[71, 47] Operation: 60-13=47 Exploring Operation: 13+60=73, Resulting Numbers: [71, 73] Generated Node #0,2,4: 73:[71, 73] Operation: 13+60=73 Moving to Node #0,4 Current State: 73:[71, 34, 107], Operations: ['94+13=107'] Exploring Operation: 71-34=37, Resulting Numbers: [107, 37] Generated Node #0,4,0: 73:[107, 37] Operation: 71-34=37 Exploring Operation: 34+107=141, Resulting Numbers: [71, 141] Generated Node #0,4,1: 73:[71, 141] Operation: 34+107=141 Exploring Operation: 107-34=73, Resulting Numbers: [71, 73] Generated Node #0,4,2: 73:[71, 73] Operation: 107-34=73 Exploring Operation: 107-71=36, Resulting Numbers: [34, 36] Generated Node #0,4,3: 73:[34, 36] Operation: 107-71=36 Exploring Operation: 71+34=105, Resulting Numbers: [107, 105] Generated Node #0,4,4: 73:[107, 105] Operation: 71+34=105 Moving to Node #0,2,4 Current State: 73:[71, 73], Operations: ['94-34=60', '13+60=73'] Exploring Operation: 71+73=144, Resulting Numbers: [144] 144,73 unequal: No Solution Exploring Operation: 73-71=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 71*73=5183, Resulting Numbers: [5183] 5183,73 unequal: No Solution Moving to Node #0,4,2 Current State: 73:[71, 73], Operations: ['94+13=107', '107-34=73'] Exploring Operation: 71+73=144, Resulting Numbers: [144] 144,73 unequal: No Solution Exploring Operation: 71*73=5183, Resulting Numbers: [5183] 5183,73 unequal: No Solution Exploring Operation: 73-71=2, Resulting Numbers: [2] 2,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[84, 60], Operations: ['71+13=84', '94-34=60'] Exploring Operation: 84+60=144, Resulting Numbers: [144] 144,73 unequal: No Solution Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,73 unequal: No Solution Exploring Operation: 84*60=5040, Resulting Numbers: [5040] 5040,73 unequal: No Solution Moving to Node #0,2,0 Current State: 73:[60, 84], Operations: ['94-34=60', '71+13=84'] Exploring Operation: 60*84=5040, Resulting Numbers: [5040] 5040,73 unequal: No Solution Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,73 unequal: No Solution Exploring Operation: 60+84=144, Resulting Numbers: [144] 144,73 unequal: No Solution Moving to Node #0,3,0 Current State: 73:[71, 47], Operations: ['13+34=47', '94-47=47'] Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,73 unequal: No Solution Exploring Operation: 71*47=3337, Resulting Numbers: [3337] 3337,73 unequal: No Solution Exploring Operation: 71+47=118, Resulting Numbers: [118] 118,73 unequal: No Solution Moving to Node #0,2,2 Current State: 73:[60, 58], Operations: ['94-34=60', '71-13=58'] Exploring Operation: 60*58=3480, Resulting Numbers: [3480] 3480,73 unequal: No Solution Exploring Operation: 60+58=118, Resulting Numbers: [118] 118,73 unequal: No Solution Exploring Operation: 60-58=2, Resulting Numbers: [2] 2,73 unequal: No Solution Moving to Node #0,2,3 Current State: 73:[71, 47], Operations: ['94-34=60', '60-13=47'] Exploring Operation: 71+47=118, Resulting Numbers: [118] 118,73 unequal: No Solution Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,73 unequal: No Solution Exploring Operation: 71*47=3337, Resulting Numbers: [3337] 3337,73 unequal: No Solution Moving to Node #0,1,0 Current State: 73:[71, 47], Operations: ['94-13=81', '81-34=47'] Exploring Operation: 71+47=118, Resulting Numbers: [118] 118,73 unequal: No Solution Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,73 unequal: No Solution Exploring Operation: 71*47=3337, Resulting Numbers: [3337] 3337,73 unequal: No Solution Moving to Node #0,1,2 Current State: 73:[81, 105], Operations: ['94-13=81', '71+34=105'] Exploring Operation: 81+105=186, Resulting Numbers: [186] 186,73 unequal: No Solution Exploring Operation: 81*105=8505, Resulting Numbers: [8505] 8505,73 unequal: No Solution Exploring Operation: 105-81=24, Resulting Numbers: [24] 24,73 unequal: No Solution Moving to Node #0,1,1 Current State: 73:[71, 115], Operations: ['94-13=81', '34+81=115'] Exploring Operation: 71+115=186, Resulting Numbers: [186] 186,73 unequal: No Solution Exploring Operation: 115-71=44, Resulting Numbers: [44] 44,73 unequal: No Solution Exploring Operation: 71*115=8165, Resulting Numbers: [8165] 8165,73 unequal: No Solution Moving to Node #0,1,1,0 Current State: 73:[44], Operations: ['94-13=81', '34+81=115', '115-71=44'] Moving to Node #0,0,0 Current State: 73:[94, 50], Operations: ['71+13=84', '84-34=50'] Exploring Operation: 94-50=44, Resulting Numbers: [44] 44,73 unequal: No Solution Exploring Operation: 94*50=4700, Resulting Numbers: [4700] 4700,73 unequal: No Solution Exploring Operation: 94+50=144, Resulting Numbers: [144] 144,73 unequal: No Solution Moving to Node #0,1,3 Current State: 73:[81, 37], Operations: ['94-13=81', '71-34=37'] Exploring Operation: 81-37=44, Resulting Numbers: [44] 44,73 unequal: No Solution Exploring Operation: 81*37=2997, Resulting Numbers: [2997] 2997,73 unequal: No Solution Exploring Operation: 81+37=118, Resulting Numbers: [118] 118,73 unequal: No Solution Moving to Node #0,2,2,0 Current State: 73:[118], Operations: ['94-34=60', '71-13=58', '60+58=118'] Moving to Node #0,3,0,0 Current State: 73:[118], Operations: ['13+34=47', '94-47=47', '71+47=118'] Moving to Node #0,0,0,0 Current State: 73:[44], Operations: ['71+13=84', '84-34=50', '94-50=44'] Moving to Node #0,1,3,0 Current State: 73:[44], Operations: ['94-13=81', '71-34=37', '81-37=44'] Moving to Node #0,1,0,0 Current State: 73:[118], Operations: ['94-13=81', '81-34=47', '71+47=118'] Moving to Node #0,2,3,0 Current State: 73:[118], Operations: ['94-34=60', '60-13=47', '71+47=118'] Moving to Node #0,1,3,0 Current State: 73:[118], Operations: ['94-13=81', '71-34=37', '81+37=118'] Moving to Node #0,2,0,0 Current State: 73:[24], Operations: ['94-34=60', '71+13=84', '84-60=24'] Moving to Node #0,0,1,0 Current State: 73:[24], Operations: ['71+13=84', '94-34=60', '84-60=24'] Moving to Node #0,1,2,0 Current State: 73:[24], Operations: ['94-13=81', '71+34=105', '105-81=24'] Moving to Node #0,1,0,0 Current State: 73:[24], Operations: ['94-13=81', '81-34=47', '71-47=24'] Moving to Node #0,3,0,0 Current State: 73:[24], Operations: ['13+34=47', '94-47=47', '71-47=24'] Moving to Node #0,2,3,0 Current State: 73:[24], Operations: ['94-34=60', '60-13=47', '71-47=24'] Moving to Node #0,3,3 Current State: 73:[94, 118], Operations: ['13+34=47', '71+47=118'] Exploring Operation: 94+118=212, Resulting Numbers: [212] 212,73 unequal: No Solution Exploring Operation: 118-94=24, Resulting Numbers: [24] 24,73 unequal: No Solution Exploring Operation: 94*118=11092, Resulting Numbers: [11092] 11092,73 unequal: No Solution Moving to Node #0,0,4 Current State: 73:[94, 118], Operations: ['71+13=84', '34+84=118'] Exploring Operation: 94*118=11092, Resulting Numbers: [11092] 11092,73 unequal: No Solution Exploring Operation: 94+118=212, Resulting Numbers: [212] 212,73 unequal: No Solution Exploring Operation: 118-94=24, Resulting Numbers: [24] 24,73 unequal: No Solution Moving to Node #0,0,3 Current State: 73:[84, 128], Operations: ['71+13=84', '94+34=128'] Exploring Operation: 128-84=44, Resulting Numbers: [44] 44,73 unequal: No Solution Exploring Operation: 84+128=212, Resulting Numbers: [212] 212,73 unequal: No Solution Exploring Operation: 84*128=10752, Resulting Numbers: [10752] 10752,73 unequal: No Solution Moving to Node #0,4,4 Current State: 73:[107, 105], Operations: ['94+13=107', '71+34=105'] Exploring Operation: 107-105=2, Resulting Numbers: [2] 2,73 unequal: No Solution Exploring Operation: 107+105=212, Resulting Numbers: [212] 212,73 unequal: No Solution Exploring Operation: 107*105=11235, Resulting Numbers: [11235] 11235,73 unequal: No Solution Moving to Node #0,0,3,0 Current State: 73:[44], Operations: ['71+13=84', '94+34=128', '128-84=44'] Moving to Node #0,3,3,0 Current State: 73:[24], Operations: ['13+34=47', '71+47=118', '118-94=24'] Moving to Node #0,0,4,0 Current State: 73:[24], Operations: ['71+13=84', '34+84=118', '118-94=24'] Moving to Node #0,4,0 Current State: 73:[107, 37], Operations: ['94+13=107', '71-34=37'] Exploring Operation: 107*37=3959, Resulting Numbers: [3959] 3959,73 unequal: No Solution Exploring Operation: 107-37=70, Resulting Numbers: [70] 70,73 unequal: No Solution Exploring Operation: 107+37=144, Resulting Numbers: [144] 144,73 unequal: No Solution Moving to Node #0,4,1 Current State: 73:[71, 141], Operations: ['94+13=107', '34+107=141'] Exploring Operation: 71*141=10011, Resulting Numbers: [10011] 10011,73 unequal: No Solution Exploring Operation: 71+141=212, Resulting Numbers: [212] 212,73 unequal: No Solution Exploring Operation: 141-71=70, Resulting Numbers: [70] 70,73 unequal: No Solution Moving to Node #0,4,0,0 Current State: 73:[70], Operations: ['94+13=107', '71-34=37', '107-37=70'] Moving to Node #0,4,1,0 Current State: 73:[70], Operations: ['94+13=107', '34+107=141', '141-71=70'] Moving to Node #0,3,4 Current State: 73:[71, 141], Operations: ['13+34=47', '94+47=141'] Exploring Operation: 71*141=10011, Resulting Numbers: [10011] 10011,73 unequal: No Solution Exploring Operation: 141-71=70, Resulting Numbers: [70] 70,73 unequal: No Solution Exploring Operation: 71+141=212, Resulting Numbers: [212] 212,73 unequal: No Solution Moving to Node #0,3,1 Current State: 73:[94, 24], Operations: ['13+34=47', '71-47=24'] Exploring Operation: 94*24=2256, Resulting Numbers: [2256] 2256,73 unequal: No Solution Exploring Operation: 94-24=70, Resulting Numbers: [70] 70,73 unequal: No Solution Exploring Operation: 94+24=118, Resulting Numbers: [118] 118,73 unequal: No Solution Moving to Node #0,2,0,0 Current State: 73:[144], Operations: ['94-34=60', '71+13=84', '60+84=144'] Moving to Node #0,3,4,0 Current State: 73:[70], Operations: ['13+34=47', '94+47=141', '141-71=70'] Moving to Node #0,3,1,0 Current State: 73:[70], Operations: ['13+34=47', '71-47=24', '94-24=70'] Moving to Node #0,3,1,0 Current State: 73:[118], Operations: ['13+34=47', '71-47=24', '94+24=118'] Moving to Node #0,4,2,0 Current State: 73:[144], Operations: ['94+13=107', '107-34=73', '71+73=144'] Moving to Node #0,4,2,0 Current State: 73:[2], Operations: ['94+13=107', '107-34=73', '73-71=2'] Moving to Node #0,0,1,0 Current State: 73:[144], Operations: ['71+13=84', '94-34=60', '84+60=144'] Moving to Node #0,2,4,0 Current State: 73:[2], Operations: ['94-34=60', '13+60=73', '73-71=2'] Moving to Node #0,0,0,0 Current State: 73:[144], Operations: ['71+13=84', '84-34=50', '94+50=144'] Moving to Node #0,2,4,0 Current State: 73:[144], Operations: ['94-34=60', '13+60=73', '71+73=144'] Moving to Node #0,4,0,0 Current State: 73:[144], Operations: ['94+13=107', '71-34=37', '107+37=144'] Moving to Node #0,2,2,0 Current State: 73:[2], Operations: ['94-34=60', '71-13=58', '60-58=2'] Moving to Node #0,4,4,0 Current State: 73:[2], Operations: ['94+13=107', '71+34=105', '107-105=2'] Moving to Node #0,3,2 Current State: 73:[71, 2], Operations: ['13+34=47', '94/47=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
0.920139
bfs_5
Current State: 73:[94, 71, 13, 34], Operations: [] Exploring Operation: 13+34=47, Resulting Numbers: [94, 71, 47] Generated Node #2: [94, 71, 47] from Operation: 13+34=47 Current State: 73:[94, 71, 47], Operations: ['13+34=47'] Exploring Operation: 94/47=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 94/47=2 Current State: 73:[71, 2], Operations: ['13+34=47', '94/47=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
mult_heuristic
[ { "content": "Make 73 with the numbers [94, 71, 13, 34] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 73:[94, 71, 13, 34], Operations: []\nExploring Operation: 71+13=84, Resulting Numbers: [94, 34, 84]\nGenerated Node #0,0: 73:[94, 34, 84] Operation: 71+13=84\nExploring Operation: 94-13=81, Resulting Numbers: [71, 34, 81]\nGenerated Node #0,1: 73:[71, 34, 81] Operation: 94-13=81\nExploring Operation: 94-34=60, Resulting Numbers: [71, 13, 60]\nGenerated Node #0,2: 73:[71, 13, 60] Operation: 94-34=60\nExploring Operation: 13+34=47, Resulting Numbers: [94, 71, 47]\nGenerated Node #0,3: 73:[94, 71, 47] Operation: 13+34=47\nExploring Operation: 94+13=107, Resulting Numbers: [71, 34, 107]\nGenerated Node #0,4: 73:[71, 34, 107] Operation: 94+13=107\nMoving to Node #0,1\nCurrent State: 73:[71, 34, 81], Operations: ['94-13=81']\nExploring Operation: 81-34=47, Resulting Numbers: [71, 47]\nGenerated Node #0,1,0: 73:[71, 47] Operation: 81-34=47\nExploring Operation: 34+81=115, Resulting Numbers: [71, 115]\nGenerated Node #0,1,1: 73:[71, 115] Operation: 34+81=115\nExploring Operation: 71+34=105, Resulting Numbers: [81, 105]\nGenerated Node #0,1,2: 73:[81, 105] Operation: 71+34=105\nExploring Operation: 71-34=37, Resulting Numbers: [81, 37]\nGenerated Node #0,1,3: 73:[81, 37] Operation: 71-34=37\nExploring Operation: 81-71=10, Resulting Numbers: [34, 10]\nGenerated Node #0,1,4: 73:[34, 10] Operation: 81-71=10\nMoving to Node #0,3\nCurrent State: 73:[94, 71, 47], Operations: ['13+34=47']\nExploring Operation: 94-47=47, Resulting Numbers: [71, 47]\nGenerated Node #0,3,0: 73:[71, 47] Operation: 94-47=47\nExploring Operation: 71-47=24, Resulting Numbers: [94, 24]\nGenerated Node #0,3,1: 73:[94, 24] Operation: 71-47=24\nExploring Operation: 94/47=2, Resulting Numbers: [71, 2]\nGenerated Node #0,3,2: 73:[71, 2] Operation: 94/47=2\nExploring Operation: 71+47=118, Resulting Numbers: [94, 118]\nGenerated Node #0,3,3: 73:[94, 118] Operation: 71+47=118\nExploring Operation: 94+47=141, Resulting Numbers: [71, 141]\nGenerated Node #0,3,4: 73:[71, 141] Operation: 94+47=141\nMoving to Node #0,0\nCurrent State: 73:[94, 34, 84], Operations: ['71+13=84']\nExploring Operation: 84-34=50, Resulting Numbers: [94, 50]\nGenerated Node #0,0,0: 73:[94, 50] Operation: 84-34=50\nExploring Operation: 94-34=60, Resulting Numbers: [84, 60]\nGenerated Node #0,0,1: 73:[84, 60] Operation: 94-34=60\nExploring Operation: 94-84=10, Resulting Numbers: [34, 10]\nGenerated Node #0,0,2: 73:[34, 10] Operation: 94-84=10\nExploring Operation: 94+34=128, Resulting Numbers: [84, 128]\nGenerated Node #0,0,3: 73:[84, 128] Operation: 94+34=128\nExploring Operation: 34+84=118, Resulting Numbers: [94, 118]\nGenerated Node #0,0,4: 73:[94, 118] Operation: 34+84=118\nMoving to Node #0,2\nCurrent State: 73:[71, 13, 60], Operations: ['94-34=60']\nExploring Operation: 71+13=84, Resulting Numbers: [60, 84]\nGenerated Node #0,2,0: 73:[60, 84] Operation: 71+13=84\nExploring Operation: 71+60=131, Resulting Numbers: [13, 131]\nGenerated Node #0,2,1: 73:[13, 131] Operation: 71+60=131\nExploring Operation: 71-13=58, Resulting Numbers: [60, 58]\nGenerated Node #0,2,2: 73:[60, 58] Operation: 71-13=58\nExploring Operation: 60-13=47, Resulting Numbers: [71, 47]\nGenerated Node #0,2,3: 73:[71, 47] Operation: 60-13=47\nExploring Operation: 13+60=73, Resulting Numbers: [71, 73]\nGenerated Node #0,2,4: 73:[71, 73] Operation: 13+60=73\nMoving to Node #0,4\nCurrent State: 73:[71, 34, 107], Operations: ['94+13=107']\nExploring Operation: 71-34=37, Resulting Numbers: [107, 37]\nGenerated Node #0,4,0: 73:[107, 37] Operation: 71-34=37\nExploring Operation: 34+107=141, Resulting Numbers: [71, 141]\nGenerated Node #0,4,1: 73:[71, 141] Operation: 34+107=141\nExploring Operation: 107-34=73, Resulting Numbers: [71, 73]\nGenerated Node #0,4,2: 73:[71, 73] Operation: 107-34=73\nExploring Operation: 107-71=36, Resulting Numbers: [34, 36]\nGenerated Node #0,4,3: 73:[34, 36] Operation: 107-71=36\nExploring Operation: 71+34=105, Resulting Numbers: [107, 105]\nGenerated Node #0,4,4: 73:[107, 105] Operation: 71+34=105\nMoving to Node #0,2,4\nCurrent State: 73:[71, 73], Operations: ['94-34=60', '13+60=73']\nExploring Operation: 71+73=144, Resulting Numbers: [144]\n144,73 unequal: No Solution\nExploring Operation: 73-71=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 71*73=5183, Resulting Numbers: [5183]\n5183,73 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 73:[71, 73], Operations: ['94+13=107', '107-34=73']\nExploring Operation: 71+73=144, Resulting Numbers: [144]\n144,73 unequal: No Solution\nExploring Operation: 71*73=5183, Resulting Numbers: [5183]\n5183,73 unequal: No Solution\nExploring Operation: 73-71=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 73:[84, 60], Operations: ['71+13=84', '94-34=60']\nExploring Operation: 84+60=144, Resulting Numbers: [144]\n144,73 unequal: No Solution\nExploring Operation: 84-60=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nExploring Operation: 84*60=5040, Resulting Numbers: [5040]\n5040,73 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 73:[60, 84], Operations: ['94-34=60', '71+13=84']\nExploring Operation: 60*84=5040, Resulting Numbers: [5040]\n5040,73 unequal: No Solution\nExploring Operation: 84-60=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nExploring Operation: 60+84=144, Resulting Numbers: [144]\n144,73 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 73:[71, 47], Operations: ['13+34=47', '94-47=47']\nExploring Operation: 71-47=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nExploring Operation: 71*47=3337, Resulting Numbers: [3337]\n3337,73 unequal: No Solution\nExploring Operation: 71+47=118, Resulting Numbers: [118]\n118,73 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 73:[60, 58], Operations: ['94-34=60', '71-13=58']\nExploring Operation: 60*58=3480, Resulting Numbers: [3480]\n3480,73 unequal: No Solution\nExploring Operation: 60+58=118, Resulting Numbers: [118]\n118,73 unequal: No Solution\nExploring Operation: 60-58=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 73:[71, 47], Operations: ['94-34=60', '60-13=47']\nExploring Operation: 71+47=118, Resulting Numbers: [118]\n118,73 unequal: No Solution\nExploring Operation: 71-47=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nExploring Operation: 71*47=3337, Resulting Numbers: [3337]\n3337,73 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 73:[71, 47], Operations: ['94-13=81', '81-34=47']\nExploring Operation: 71+47=118, Resulting Numbers: [118]\n118,73 unequal: No Solution\nExploring Operation: 71-47=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nExploring Operation: 71*47=3337, Resulting Numbers: [3337]\n3337,73 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 73:[81, 105], Operations: ['94-13=81', '71+34=105']\nExploring Operation: 81+105=186, Resulting Numbers: [186]\n186,73 unequal: No Solution\nExploring Operation: 81*105=8505, Resulting Numbers: [8505]\n8505,73 unequal: No Solution\nExploring Operation: 105-81=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 73:[71, 115], Operations: ['94-13=81', '34+81=115']\nExploring Operation: 71+115=186, Resulting Numbers: [186]\n186,73 unequal: No Solution\nExploring Operation: 115-71=44, Resulting Numbers: [44]\n44,73 unequal: No Solution\nExploring Operation: 71*115=8165, Resulting Numbers: [8165]\n8165,73 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 73:[44], Operations: ['94-13=81', '34+81=115', '115-71=44']\nMoving to Node #0,0,0\nCurrent State: 73:[94, 50], Operations: ['71+13=84', '84-34=50']\nExploring Operation: 94-50=44, Resulting Numbers: [44]\n44,73 unequal: No Solution\nExploring Operation: 94*50=4700, Resulting Numbers: [4700]\n4700,73 unequal: No Solution\nExploring Operation: 94+50=144, Resulting Numbers: [144]\n144,73 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 73:[81, 37], Operations: ['94-13=81', '71-34=37']\nExploring Operation: 81-37=44, Resulting Numbers: [44]\n44,73 unequal: No Solution\nExploring Operation: 81*37=2997, Resulting Numbers: [2997]\n2997,73 unequal: No Solution\nExploring Operation: 81+37=118, Resulting Numbers: [118]\n118,73 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 73:[118], Operations: ['94-34=60', '71-13=58', '60+58=118']\nMoving to Node #0,3,0,0\nCurrent State: 73:[118], Operations: ['13+34=47', '94-47=47', '71+47=118']\nMoving to Node #0,0,0,0\nCurrent State: 73:[44], Operations: ['71+13=84', '84-34=50', '94-50=44']\nMoving to Node #0,1,3,0\nCurrent State: 73:[44], Operations: ['94-13=81', '71-34=37', '81-37=44']\nMoving to Node #0,1,0,0\nCurrent State: 73:[118], Operations: ['94-13=81', '81-34=47', '71+47=118']\nMoving to Node #0,2,3,0\nCurrent State: 73:[118], Operations: ['94-34=60', '60-13=47', '71+47=118']\nMoving to Node #0,1,3,0\nCurrent State: 73:[118], Operations: ['94-13=81', '71-34=37', '81+37=118']\nMoving to Node #0,2,0,0\nCurrent State: 73:[24], Operations: ['94-34=60', '71+13=84', '84-60=24']\nMoving to Node #0,0,1,0\nCurrent State: 73:[24], Operations: ['71+13=84', '94-34=60', '84-60=24']\nMoving to Node #0,1,2,0\nCurrent State: 73:[24], Operations: ['94-13=81', '71+34=105', '105-81=24']\nMoving to Node #0,1,0,0\nCurrent State: 73:[24], Operations: ['94-13=81', '81-34=47', '71-47=24']\nMoving to Node #0,3,0,0\nCurrent State: 73:[24], Operations: ['13+34=47', '94-47=47', '71-47=24']\nMoving to Node #0,2,3,0\nCurrent State: 73:[24], Operations: ['94-34=60', '60-13=47', '71-47=24']\nMoving to Node #0,3,3\nCurrent State: 73:[94, 118], Operations: ['13+34=47', '71+47=118']\nExploring Operation: 94+118=212, Resulting Numbers: [212]\n212,73 unequal: No Solution\nExploring Operation: 118-94=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nExploring Operation: 94*118=11092, Resulting Numbers: [11092]\n11092,73 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 73:[94, 118], Operations: ['71+13=84', '34+84=118']\nExploring Operation: 94*118=11092, Resulting Numbers: [11092]\n11092,73 unequal: No Solution\nExploring Operation: 94+118=212, Resulting Numbers: [212]\n212,73 unequal: No Solution\nExploring Operation: 118-94=24, Resulting Numbers: [24]\n24,73 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 73:[84, 128], Operations: ['71+13=84', '94+34=128']\nExploring Operation: 128-84=44, Resulting Numbers: [44]\n44,73 unequal: No Solution\nExploring Operation: 84+128=212, Resulting Numbers: [212]\n212,73 unequal: No Solution\nExploring Operation: 84*128=10752, Resulting Numbers: [10752]\n10752,73 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 73:[107, 105], Operations: ['94+13=107', '71+34=105']\nExploring Operation: 107-105=2, Resulting Numbers: [2]\n2,73 unequal: No Solution\nExploring Operation: 107+105=212, Resulting Numbers: [212]\n212,73 unequal: No Solution\nExploring Operation: 107*105=11235, Resulting Numbers: [11235]\n11235,73 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 73:[44], Operations: ['71+13=84', '94+34=128', '128-84=44']\nMoving to Node #0,3,3,0\nCurrent State: 73:[24], Operations: ['13+34=47', '71+47=118', '118-94=24']\nMoving to Node #0,0,4,0\nCurrent State: 73:[24], Operations: ['71+13=84', '34+84=118', '118-94=24']\nMoving to Node #0,4,0\nCurrent State: 73:[107, 37], Operations: ['94+13=107', '71-34=37']\nExploring Operation: 107*37=3959, Resulting Numbers: [3959]\n3959,73 unequal: No Solution\nExploring Operation: 107-37=70, Resulting Numbers: [70]\n70,73 unequal: No Solution\nExploring Operation: 107+37=144, Resulting Numbers: [144]\n144,73 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 73:[71, 141], Operations: ['94+13=107', '34+107=141']\nExploring Operation: 71*141=10011, Resulting Numbers: [10011]\n10011,73 unequal: No Solution\nExploring Operation: 71+141=212, Resulting Numbers: [212]\n212,73 unequal: No Solution\nExploring Operation: 141-71=70, Resulting Numbers: [70]\n70,73 unequal: No Solution\nMoving to Node #0,4,0,0\nCurrent State: 73:[70], Operations: ['94+13=107', '71-34=37', '107-37=70']\nMoving to Node #0,4,1,0\nCurrent State: 73:[70], Operations: ['94+13=107', '34+107=141', '141-71=70']\nMoving to Node #0,3,4\nCurrent State: 73:[71, 141], Operations: ['13+34=47', '94+47=141']\nExploring Operation: 71*141=10011, Resulting Numbers: [10011]\n10011,73 unequal: No Solution\nExploring Operation: 141-71=70, Resulting Numbers: [70]\n70,73 unequal: No Solution\nExploring Operation: 71+141=212, Resulting Numbers: [212]\n212,73 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 73:[94, 24], Operations: ['13+34=47', '71-47=24']\nExploring Operation: 94*24=2256, Resulting Numbers: [2256]\n2256,73 unequal: No Solution\nExploring Operation: 94-24=70, Resulting Numbers: [70]\n70,73 unequal: No Solution\nExploring Operation: 94+24=118, Resulting Numbers: [118]\n118,73 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 73:[144], Operations: ['94-34=60', '71+13=84', '60+84=144']\nMoving to Node #0,3,4,0\nCurrent State: 73:[70], Operations: ['13+34=47', '94+47=141', '141-71=70']\nMoving to Node #0,3,1,0\nCurrent State: 73:[70], Operations: ['13+34=47', '71-47=24', '94-24=70']\nMoving to Node #0,3,1,0\nCurrent State: 73:[118], Operations: ['13+34=47', '71-47=24', '94+24=118']\nMoving to Node #0,4,2,0\nCurrent State: 73:[144], Operations: ['94+13=107', '107-34=73', '71+73=144']\nMoving to Node #0,4,2,0\nCurrent State: 73:[2], Operations: ['94+13=107', '107-34=73', '73-71=2']\nMoving to Node #0,0,1,0\nCurrent State: 73:[144], Operations: ['71+13=84', '94-34=60', '84+60=144']\nMoving to Node #0,2,4,0\nCurrent State: 73:[2], Operations: ['94-34=60', '13+60=73', '73-71=2']\nMoving to Node #0,0,0,0\nCurrent State: 73:[144], Operations: ['71+13=84', '84-34=50', '94+50=144']\nMoving to Node #0,2,4,0\nCurrent State: 73:[144], Operations: ['94-34=60', '13+60=73', '71+73=144']\nMoving to Node #0,4,0,0\nCurrent State: 73:[144], Operations: ['94+13=107', '71-34=37', '107+37=144']\nMoving to Node #0,2,2,0\nCurrent State: 73:[2], Operations: ['94-34=60', '71-13=58', '60-58=2']\nMoving to Node #0,4,4,0\nCurrent State: 73:[2], Operations: ['94+13=107', '71+34=105', '107-105=2']\nMoving to Node #0,3,2\nCurrent State: 73:[71, 2], Operations: ['13+34=47', '94/47=2']\nExploring Operation: 71+2=73, Resulting Numbers: [73]\n73,73 equal: Goal Reached\n", "role": "assistant" } ]
[ 21, 9, 77, 81 ]
75
[ "81-77=4", "21*4=84", "84-9=75" ]
Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 21+9=30, Resulting Numbers: [77, 81, 30] Generated Node #0,0: 75:[77, 81, 30] Operation: 21+9=30 Moving to Node #0,0 Current State: 75:[77, 81, 30], Operations: ['21+9=30'] Exploring Operation: 81-30=51, Resulting Numbers: [77, 51] Generated Node #0,0,0: 75:[77, 51] Operation: 81-30=51 Moving to Node #0,0,0 Current State: 75:[77, 51], Operations: ['21+9=30', '81-30=51'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,0,0 Current State: 75:[77, 51], Operations: ['21+9=30', '81-30=51'] Exploring Operation: 77+51=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,0 Current State: 75:[77, 81, 30], Operations: ['21+9=30'] Exploring Operation: 77-30=47, Resulting Numbers: [81, 47] Generated Node #0,0,1: 75:[81, 47] Operation: 77-30=47 Moving to Node #0,0,1 Current State: 75:[81, 47], Operations: ['21+9=30', '77-30=47'] Exploring Operation: 81-47=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,0,1 Current State: 75:[81, 47], Operations: ['21+9=30', '77-30=47'] Exploring Operation: 81+47=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,0 Current State: 75:[77, 81, 30], Operations: ['21+9=30'] Exploring Operation: 77+30=107, Resulting Numbers: [81, 107] Generated Node #0,0,2: 75:[81, 107] Operation: 77+30=107 Moving to Node #0,0,2 Current State: 75:[81, 107], Operations: ['21+9=30', '77+30=107'] Exploring Operation: 107-81=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,0 Current State: 75:[77, 81, 30], Operations: ['21+9=30'] Exploring Operation: 81+30=111, Resulting Numbers: [77, 111] Generated Node #0,0,3: 75:[77, 111] Operation: 81+30=111 Moving to Node #0,0,3 Current State: 75:[77, 111], Operations: ['21+9=30', '81+30=111'] Exploring Operation: 111-77=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,0 Current State: 75:[77, 81, 30], Operations: ['21+9=30'] Exploring Operation: 81-77=4, Resulting Numbers: [30, 4] Generated Node #0,0,4: 75:[30, 4] Operation: 81-77=4 Moving to Node #0,0,4 Current State: 75:[30, 4], Operations: ['21+9=30', '81-77=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,0,4 Current State: 75:[30, 4], Operations: ['21+9=30', '81-77=4'] Exploring Operation: 30*4=120, Resulting Numbers: [120] 120,75 unequal: No Solution Moving to Node #0,0,4 Current State: 75:[30, 4], Operations: ['21+9=30', '81-77=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,0 Current State: 75:[77, 81, 30], Operations: ['21+9=30'] Exploring Operation: 77+81=158, Resulting Numbers: [30, 158] Generated Node #0,0,5: 75:[30, 158] Operation: 77+81=158 Moving to Node #0,0,5 Current State: 75:[30, 158], Operations: ['21+9=30', '77+81=158'] Exploring Operation: 158-30=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 81-9=72, Resulting Numbers: [21, 77, 72] Generated Node #0,1: 75:[21, 77, 72] Operation: 81-9=72 Moving to Node #0,1 Current State: 75:[21, 77, 72], Operations: ['81-9=72'] Exploring Operation: 21+72=93, Resulting Numbers: [77, 93] Generated Node #0,1,0: 75:[77, 93] Operation: 21+72=93 Moving to Node #0,1,0 Current State: 75:[77, 93], Operations: ['81-9=72', '21+72=93'] Exploring Operation: 93-77=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,1 Current State: 75:[21, 77, 72], Operations: ['81-9=72'] Exploring Operation: 77-21=56, Resulting Numbers: [72, 56] Generated Node #0,1,1: 75:[72, 56] Operation: 77-21=56 Moving to Node #0,1,1 Current State: 75:[72, 56], Operations: ['81-9=72', '77-21=56'] Exploring Operation: 72+56=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,1,1 Current State: 75:[72, 56], Operations: ['81-9=72', '77-21=56'] Exploring Operation: 72-56=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,1 Current State: 75:[21, 77, 72], Operations: ['81-9=72'] Exploring Operation: 21+77=98, Resulting Numbers: [72, 98] Generated Node #0,1,2: 75:[72, 98] Operation: 21+77=98 Moving to Node #0,1,2 Current State: 75:[72, 98], Operations: ['81-9=72', '21+77=98'] Exploring Operation: 98-72=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,1 Current State: 75:[21, 77, 72], Operations: ['81-9=72'] Exploring Operation: 72-21=51, Resulting Numbers: [77, 51] Generated Node #0,1,3: 75:[77, 51] Operation: 72-21=51 Moving to Node #0,1,3 Current State: 75:[77, 51], Operations: ['81-9=72', '72-21=51'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,1,3 Current State: 75:[77, 51], Operations: ['81-9=72', '72-21=51'] Exploring Operation: 77+51=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,1 Current State: 75:[21, 77, 72], Operations: ['81-9=72'] Exploring Operation: 77-72=5, Resulting Numbers: [21, 5] Generated Node #0,1,4: 75:[21, 5] Operation: 77-72=5 Moving to Node #0,1,4 Current State: 75:[21, 5], Operations: ['81-9=72', '77-72=5'] Exploring Operation: 21*5=105, Resulting Numbers: [105] 105,75 unequal: No Solution Moving to Node #0,1,4 Current State: 75:[21, 5], Operations: ['81-9=72', '77-72=5'] Exploring Operation: 21+5=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,1,4 Current State: 75:[21, 5], Operations: ['81-9=72', '77-72=5'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,1 Current State: 75:[21, 77, 72], Operations: ['81-9=72'] Exploring Operation: 77+72=149, Resulting Numbers: [21, 149] Generated Node #0,1,5: 75:[21, 149] Operation: 77+72=149 Moving to Node #0,1,5 Current State: 75:[21, 149], Operations: ['81-9=72', '77+72=149'] Exploring Operation: 149-21=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 77-9=68, Resulting Numbers: [21, 81, 68] Generated Node #0,2: 75:[21, 81, 68] Operation: 77-9=68 Moving to Node #0,2 Current State: 75:[21, 81, 68], Operations: ['77-9=68'] Exploring Operation: 21+68=89, Resulting Numbers: [81, 89] Generated Node #0,2,0: 75:[81, 89] Operation: 21+68=89 Moving to Node #0,2,0 Current State: 75:[81, 89], Operations: ['77-9=68', '21+68=89'] Exploring Operation: 89-81=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,2 Current State: 75:[21, 81, 68], Operations: ['77-9=68'] Exploring Operation: 81-21=60, Resulting Numbers: [68, 60] Generated Node #0,2,1: 75:[68, 60] Operation: 81-21=60 Moving to Node #0,2,1 Current State: 75:[68, 60], Operations: ['77-9=68', '81-21=60'] Exploring Operation: 68+60=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,2,1 Current State: 75:[68, 60], Operations: ['77-9=68', '81-21=60'] Exploring Operation: 68-60=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,2 Current State: 75:[21, 81, 68], Operations: ['77-9=68'] Exploring Operation: 21+81=102, Resulting Numbers: [68, 102] Generated Node #0,2,2: 75:[68, 102] Operation: 21+81=102 Moving to Node #0,2,2 Current State: 75:[68, 102], Operations: ['77-9=68', '21+81=102'] Exploring Operation: 102-68=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,2 Current State: 75:[21, 81, 68], Operations: ['77-9=68'] Exploring Operation: 68-21=47, Resulting Numbers: [81, 47] Generated Node #0,2,3: 75:[81, 47] Operation: 68-21=47 Moving to Node #0,2,3 Current State: 75:[81, 47], Operations: ['77-9=68', '68-21=47'] Exploring Operation: 81-47=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,2,3 Current State: 75:[81, 47], Operations: ['77-9=68', '68-21=47'] Exploring Operation: 81+47=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,2 Current State: 75:[21, 81, 68], Operations: ['77-9=68'] Exploring Operation: 81-68=13, Resulting Numbers: [21, 13] Generated Node #0,2,4: 75:[21, 13] Operation: 81-68=13 Moving to Node #0,2,4 Current State: 75:[21, 13], Operations: ['77-9=68', '81-68=13'] Exploring Operation: 21+13=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,2,4 Current State: 75:[21, 13], Operations: ['77-9=68', '81-68=13'] Exploring Operation: 21-13=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,2 Current State: 75:[21, 81, 68], Operations: ['77-9=68'] Exploring Operation: 81+68=149, Resulting Numbers: [21, 149] Generated Node #0,2,5: 75:[21, 149] Operation: 81+68=149 Moving to Node #0,2,5 Current State: 75:[21, 149], Operations: ['77-9=68', '81+68=149'] Exploring Operation: 149-21=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 21-9=12, Resulting Numbers: [77, 81, 12] Generated Node #0,3: 75:[77, 81, 12] Operation: 21-9=12 Moving to Node #0,3 Current State: 75:[77, 81, 12], Operations: ['21-9=12'] Exploring Operation: 81-12=69, Resulting Numbers: [77, 69] Generated Node #0,3,0: 75:[77, 69] Operation: 81-12=69 Moving to Node #0,3,0 Current State: 75:[77, 69], Operations: ['21-9=12', '81-12=69'] Exploring Operation: 77-69=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,3,0 Current State: 75:[77, 69], Operations: ['21-9=12', '81-12=69'] Exploring Operation: 77+69=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,3 Current State: 75:[77, 81, 12], Operations: ['21-9=12'] Exploring Operation: 77-12=65, Resulting Numbers: [81, 65] Generated Node #0,3,1: 75:[81, 65] Operation: 77-12=65 Moving to Node #0,3,1 Current State: 75:[81, 65], Operations: ['21-9=12', '77-12=65'] Exploring Operation: 81-65=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,3,1 Current State: 75:[81, 65], Operations: ['21-9=12', '77-12=65'] Exploring Operation: 81+65=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,3 Current State: 75:[77, 81, 12], Operations: ['21-9=12'] Exploring Operation: 77+12=89, Resulting Numbers: [81, 89] Generated Node #0,3,2: 75:[81, 89] Operation: 77+12=89 Moving to Node #0,3,2 Current State: 75:[81, 89], Operations: ['21-9=12', '77+12=89'] Exploring Operation: 89-81=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,3 Current State: 75:[77, 81, 12], Operations: ['21-9=12'] Exploring Operation: 81+12=93, Resulting Numbers: [77, 93] Generated Node #0,3,3: 75:[77, 93] Operation: 81+12=93 Moving to Node #0,3,3 Current State: 75:[77, 93], Operations: ['21-9=12', '81+12=93'] Exploring Operation: 93-77=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,3 Current State: 75:[77, 81, 12], Operations: ['21-9=12'] Exploring Operation: 81-77=4, Resulting Numbers: [12, 4] Generated Node #0,3,4: 75:[12, 4] Operation: 81-77=4 Moving to Node #0,3,4 Current State: 75:[12, 4], Operations: ['21-9=12', '81-77=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,75 unequal: No Solution Moving to Node #0,3,4 Current State: 75:[12, 4], Operations: ['21-9=12', '81-77=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,3,4 Current State: 75:[12, 4], Operations: ['21-9=12', '81-77=4'] Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,3,4 Current State: 75:[12, 4], Operations: ['21-9=12', '81-77=4'] Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,75 unequal: No Solution Moving to Node #0,3 Current State: 75:[77, 81, 12], Operations: ['21-9=12'] Exploring Operation: 77+81=158, Resulting Numbers: [12, 158] Generated Node #0,3,5: 75:[12, 158] Operation: 77+81=158 Moving to Node #0,3,5 Current State: 75:[12, 158], Operations: ['21-9=12', '77+81=158'] Exploring Operation: 158-12=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 9+77=86, Resulting Numbers: [21, 81, 86] Generated Node #0,4: 75:[21, 81, 86] Operation: 9+77=86 Moving to Node #0,4 Current State: 75:[21, 81, 86], Operations: ['9+77=86'] Exploring Operation: 86-21=65, Resulting Numbers: [81, 65] Generated Node #0,4,0: 75:[81, 65] Operation: 86-21=65 Moving to Node #0,4,0 Current State: 75:[81, 65], Operations: ['9+77=86', '86-21=65'] Exploring Operation: 81-65=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,4,0 Current State: 75:[81, 65], Operations: ['9+77=86', '86-21=65'] Exploring Operation: 81+65=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,4 Current State: 75:[21, 81, 86], Operations: ['9+77=86'] Exploring Operation: 81-21=60, Resulting Numbers: [86, 60] Generated Node #0,4,1: 75:[86, 60] Operation: 81-21=60 Moving to Node #0,4,1 Current State: 75:[86, 60], Operations: ['9+77=86', '81-21=60'] Exploring Operation: 86-60=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,4,1 Current State: 75:[86, 60], Operations: ['9+77=86', '81-21=60'] Exploring Operation: 86+60=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,4 Current State: 75:[21, 81, 86], Operations: ['9+77=86'] Exploring Operation: 21+81=102, Resulting Numbers: [86, 102] Generated Node #0,4,2: 75:[86, 102] Operation: 21+81=102 Moving to Node #0,4,2 Current State: 75:[86, 102], Operations: ['9+77=86', '21+81=102'] Exploring Operation: 102-86=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,4 Current State: 75:[21, 81, 86], Operations: ['9+77=86'] Exploring Operation: 21+86=107, Resulting Numbers: [81, 107] Generated Node #0,4,3: 75:[81, 107] Operation: 21+86=107 Moving to Node #0,4,3 Current State: 75:[81, 107], Operations: ['9+77=86', '21+86=107'] Exploring Operation: 107-81=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,4 Current State: 75:[21, 81, 86], Operations: ['9+77=86'] Exploring Operation: 86-81=5, Resulting Numbers: [21, 5] Generated Node #0,4,4: 75:[21, 5] Operation: 86-81=5 Moving to Node #0,4,4 Current State: 75:[21, 5], Operations: ['9+77=86', '86-81=5'] Exploring Operation: 21*5=105, Resulting Numbers: [105] 105,75 unequal: No Solution Moving to Node #0,4,4 Current State: 75:[21, 5], Operations: ['9+77=86', '86-81=5'] Exploring Operation: 21+5=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,4,4 Current State: 75:[21, 5], Operations: ['9+77=86', '86-81=5'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,4 Current State: 75:[21, 81, 86], Operations: ['9+77=86'] Exploring Operation: 81+86=167, Resulting Numbers: [21, 167] Generated Node #0,4,5: 75:[21, 167] Operation: 81+86=167 Moving to Node #0,4,5 Current State: 75:[21, 167], Operations: ['9+77=86', '81+86=167'] Exploring Operation: 167-21=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 9+81=90, Resulting Numbers: [21, 77, 90] Generated Node #0,5: 75:[21, 77, 90] Operation: 9+81=90 Moving to Node #0,5 Current State: 75:[21, 77, 90], Operations: ['9+81=90'] Exploring Operation: 90-21=69, Resulting Numbers: [77, 69] Generated Node #0,5,0: 75:[77, 69] Operation: 90-21=69 Moving to Node #0,5,0 Current State: 75:[77, 69], Operations: ['9+81=90', '90-21=69'] Exploring Operation: 77-69=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,5,0 Current State: 75:[77, 69], Operations: ['9+81=90', '90-21=69'] Exploring Operation: 77+69=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,5 Current State: 75:[21, 77, 90], Operations: ['9+81=90'] Exploring Operation: 77-21=56, Resulting Numbers: [90, 56] Generated Node #0,5,1: 75:[90, 56] Operation: 77-21=56 Moving to Node #0,5,1 Current State: 75:[90, 56], Operations: ['9+81=90', '77-21=56'] Exploring Operation: 90-56=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,5,1 Current State: 75:[90, 56], Operations: ['9+81=90', '77-21=56'] Exploring Operation: 90+56=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,5 Current State: 75:[21, 77, 90], Operations: ['9+81=90'] Exploring Operation: 21+77=98, Resulting Numbers: [90, 98] Generated Node #0,5,2: 75:[90, 98] Operation: 21+77=98 Moving to Node #0,5,2 Current State: 75:[90, 98], Operations: ['9+81=90', '21+77=98'] Exploring Operation: 98-90=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,5 Current State: 75:[21, 77, 90], Operations: ['9+81=90'] Exploring Operation: 21+90=111, Resulting Numbers: [77, 111] Generated Node #0,5,3: 75:[77, 111] Operation: 21+90=111 Moving to Node #0,5,3 Current State: 75:[77, 111], Operations: ['9+81=90', '21+90=111'] Exploring Operation: 111-77=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,5 Current State: 75:[21, 77, 90], Operations: ['9+81=90'] Exploring Operation: 90-77=13, Resulting Numbers: [21, 13] Generated Node #0,5,4: 75:[21, 13] Operation: 90-77=13 Moving to Node #0,5,4 Current State: 75:[21, 13], Operations: ['9+81=90', '90-77=13'] Exploring Operation: 21+13=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,5,4 Current State: 75:[21, 13], Operations: ['9+81=90', '90-77=13'] Exploring Operation: 21-13=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,5 Current State: 75:[21, 77, 90], Operations: ['9+81=90'] Exploring Operation: 77+90=167, Resulting Numbers: [21, 167] Generated Node #0,5,5: 75:[21, 167] Operation: 77+90=167 Moving to Node #0,5,5 Current State: 75:[21, 167], Operations: ['9+81=90', '77+90=167'] Exploring Operation: 167-21=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 81-21=60, Resulting Numbers: [9, 77, 60] Generated Node #0,6: 75:[9, 77, 60] Operation: 81-21=60 Moving to Node #0,6 Current State: 75:[9, 77, 60], Operations: ['81-21=60'] Exploring Operation: 9+60=69, Resulting Numbers: [77, 69] Generated Node #0,6,0: 75:[77, 69] Operation: 9+60=69 Moving to Node #0,6,0 Current State: 75:[77, 69], Operations: ['81-21=60', '9+60=69'] Exploring Operation: 77-69=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,6,0 Current State: 75:[77, 69], Operations: ['81-21=60', '9+60=69'] Exploring Operation: 77+69=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,6 Current State: 75:[9, 77, 60], Operations: ['81-21=60'] Exploring Operation: 77-9=68, Resulting Numbers: [60, 68] Generated Node #0,6,1: 75:[60, 68] Operation: 77-9=68 Moving to Node #0,6,1 Current State: 75:[60, 68], Operations: ['81-21=60', '77-9=68'] Exploring Operation: 60+68=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,6,1 Current State: 75:[60, 68], Operations: ['81-21=60', '77-9=68'] Exploring Operation: 68-60=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,6 Current State: 75:[9, 77, 60], Operations: ['81-21=60'] Exploring Operation: 9+77=86, Resulting Numbers: [60, 86] Generated Node #0,6,2: 75:[60, 86] Operation: 9+77=86 Moving to Node #0,6,2 Current State: 75:[60, 86], Operations: ['81-21=60', '9+77=86'] Exploring Operation: 86-60=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,6,2 Current State: 75:[60, 86], Operations: ['81-21=60', '9+77=86'] Exploring Operation: 60+86=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,6 Current State: 75:[9, 77, 60], Operations: ['81-21=60'] Exploring Operation: 60-9=51, Resulting Numbers: [77, 51] Generated Node #0,6,3: 75:[77, 51] Operation: 60-9=51 Moving to Node #0,6,3 Current State: 75:[77, 51], Operations: ['81-21=60', '60-9=51'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,6,3 Current State: 75:[77, 51], Operations: ['81-21=60', '60-9=51'] Exploring Operation: 77+51=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,6 Current State: 75:[9, 77, 60], Operations: ['81-21=60'] Exploring Operation: 77-60=17, Resulting Numbers: [9, 17] Generated Node #0,6,4: 75:[9, 17] Operation: 77-60=17 Moving to Node #0,6,4 Current State: 75:[9, 17], Operations: ['81-21=60', '77-60=17'] Exploring Operation: 9+17=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,6,4 Current State: 75:[9, 17], Operations: ['81-21=60', '77-60=17'] Exploring Operation: 17-9=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,6 Current State: 75:[9, 77, 60], Operations: ['81-21=60'] Exploring Operation: 77+60=137, Resulting Numbers: [9, 137] Generated Node #0,6,5: 75:[9, 137] Operation: 77+60=137 Moving to Node #0,6,5 Current State: 75:[9, 137], Operations: ['81-21=60', '77+60=137'] Exploring Operation: 137-9=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,6,5 Current State: 75:[9, 137], Operations: ['81-21=60', '77+60=137'] Exploring Operation: 9+137=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 77-21=56, Resulting Numbers: [9, 81, 56] Generated Node #0,7: 75:[9, 81, 56] Operation: 77-21=56 Moving to Node #0,7 Current State: 75:[9, 81, 56], Operations: ['77-21=56'] Exploring Operation: 9+56=65, Resulting Numbers: [81, 65] Generated Node #0,7,0: 75:[81, 65] Operation: 9+56=65 Moving to Node #0,7,0 Current State: 75:[81, 65], Operations: ['77-21=56', '9+56=65'] Exploring Operation: 81-65=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,7,0 Current State: 75:[81, 65], Operations: ['77-21=56', '9+56=65'] Exploring Operation: 81+65=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,7 Current State: 75:[9, 81, 56], Operations: ['77-21=56'] Exploring Operation: 81-9=72, Resulting Numbers: [56, 72] Generated Node #0,7,1: 75:[56, 72] Operation: 81-9=72 Moving to Node #0,7,1 Current State: 75:[56, 72], Operations: ['77-21=56', '81-9=72'] Exploring Operation: 56+72=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,7,1 Current State: 75:[56, 72], Operations: ['77-21=56', '81-9=72'] Exploring Operation: 72-56=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,7 Current State: 75:[9, 81, 56], Operations: ['77-21=56'] Exploring Operation: 9+81=90, Resulting Numbers: [56, 90] Generated Node #0,7,2: 75:[56, 90] Operation: 9+81=90 Moving to Node #0,7,2 Current State: 75:[56, 90], Operations: ['77-21=56', '9+81=90'] Exploring Operation: 90-56=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,7,2 Current State: 75:[56, 90], Operations: ['77-21=56', '9+81=90'] Exploring Operation: 56+90=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0,7 Current State: 75:[9, 81, 56], Operations: ['77-21=56'] Exploring Operation: 56-9=47, Resulting Numbers: [81, 47] Generated Node #0,7,3: 75:[81, 47] Operation: 56-9=47 Moving to Node #0,7,3 Current State: 75:[81, 47], Operations: ['77-21=56', '56-9=47'] Exploring Operation: 81-47=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,7,3 Current State: 75:[81, 47], Operations: ['77-21=56', '56-9=47'] Exploring Operation: 81+47=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,7 Current State: 75:[9, 81, 56], Operations: ['77-21=56'] Exploring Operation: 81/9=9, Resulting Numbers: [56, 9] Generated Node #0,7,4: 75:[56, 9] Operation: 81/9=9 Moving to Node #0,7,4 Current State: 75:[56, 9], Operations: ['77-21=56', '81/9=9'] Exploring Operation: 56+9=65, Resulting Numbers: [65] 65,75 unequal: No Solution Moving to Node #0,7,4 Current State: 75:[56, 9], Operations: ['77-21=56', '81/9=9'] Exploring Operation: 56-9=47, Resulting Numbers: [47] 47,75 unequal: No Solution Moving to Node #0,7 Current State: 75:[9, 81, 56], Operations: ['77-21=56'] Exploring Operation: 81-56=25, Resulting Numbers: [9, 25] Generated Node #0,7,5: 75:[9, 25] Operation: 81-56=25 Moving to Node #0,7,5 Current State: 75:[9, 25], Operations: ['77-21=56', '81-56=25'] Exploring Operation: 9+25=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,7,5 Current State: 75:[9, 25], Operations: ['77-21=56', '81-56=25'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,7 Current State: 75:[9, 81, 56], Operations: ['77-21=56'] Exploring Operation: 81+56=137, Resulting Numbers: [9, 137] Generated Node #0,7,6: 75:[9, 137] Operation: 81+56=137 Moving to Node #0,7,6 Current State: 75:[9, 137], Operations: ['77-21=56', '81+56=137'] Exploring Operation: 137-9=128, Resulting Numbers: [128] 128,75 unequal: No Solution Moving to Node #0,7,6 Current State: 75:[9, 137], Operations: ['77-21=56', '81+56=137'] Exploring Operation: 9+137=146, Resulting Numbers: [146] 146,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 21+77=98, Resulting Numbers: [9, 81, 98] Generated Node #0,8: 75:[9, 81, 98] Operation: 21+77=98 Moving to Node #0,8 Current State: 75:[9, 81, 98], Operations: ['21+77=98'] Exploring Operation: 98-9=89, Resulting Numbers: [81, 89] Generated Node #0,8,0: 75:[81, 89] Operation: 98-9=89 Moving to Node #0,8,0 Current State: 75:[81, 89], Operations: ['21+77=98', '98-9=89'] Exploring Operation: 89-81=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,8 Current State: 75:[9, 81, 98], Operations: ['21+77=98'] Exploring Operation: 81-9=72, Resulting Numbers: [98, 72] Generated Node #0,8,1: 75:[98, 72] Operation: 81-9=72 Moving to Node #0,8,1 Current State: 75:[98, 72], Operations: ['21+77=98', '81-9=72'] Exploring Operation: 98-72=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,8 Current State: 75:[9, 81, 98], Operations: ['21+77=98'] Exploring Operation: 9+81=90, Resulting Numbers: [98, 90] Generated Node #0,8,2: 75:[98, 90] Operation: 9+81=90 Moving to Node #0,8,2 Current State: 75:[98, 90], Operations: ['21+77=98', '9+81=90'] Exploring Operation: 98-90=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0,8 Current State: 75:[9, 81, 98], Operations: ['21+77=98'] Exploring Operation: 9+98=107, Resulting Numbers: [81, 107] Generated Node #0,8,3: 75:[81, 107] Operation: 9+98=107 Moving to Node #0,8,3 Current State: 75:[81, 107], Operations: ['21+77=98', '9+98=107'] Exploring Operation: 107-81=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,8 Current State: 75:[9, 81, 98], Operations: ['21+77=98'] Exploring Operation: 81/9=9, Resulting Numbers: [98, 9] Generated Node #0,8,4: 75:[98, 9] Operation: 81/9=9 Moving to Node #0,8,4 Current State: 75:[98, 9], Operations: ['21+77=98', '81/9=9'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,75 unequal: No Solution Moving to Node #0,8,4 Current State: 75:[98, 9], Operations: ['21+77=98', '81/9=9'] Exploring Operation: 98+9=107, Resulting Numbers: [107] 107,75 unequal: No Solution Moving to Node #0,8 Current State: 75:[9, 81, 98], Operations: ['21+77=98'] Exploring Operation: 98-81=17, Resulting Numbers: [9, 17] Generated Node #0,8,5: 75:[9, 17] Operation: 98-81=17 Moving to Node #0,8,5 Current State: 75:[9, 17], Operations: ['21+77=98', '98-81=17'] Exploring Operation: 9+17=26, Resulting Numbers: [26] 26,75 unequal: No Solution Moving to Node #0,8,5 Current State: 75:[9, 17], Operations: ['21+77=98', '98-81=17'] Exploring Operation: 17-9=8, Resulting Numbers: [8] 8,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 21+81=102, Resulting Numbers: [9, 77, 102] Generated Node #0,9: 75:[9, 77, 102] Operation: 21+81=102 Moving to Node #0,9 Current State: 75:[9, 77, 102], Operations: ['21+81=102'] Exploring Operation: 102-9=93, Resulting Numbers: [77, 93] Generated Node #0,9,0: 75:[77, 93] Operation: 102-9=93 Moving to Node #0,9,0 Current State: 75:[77, 93], Operations: ['21+81=102', '102-9=93'] Exploring Operation: 93-77=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,9 Current State: 75:[9, 77, 102], Operations: ['21+81=102'] Exploring Operation: 77-9=68, Resulting Numbers: [102, 68] Generated Node #0,9,1: 75:[102, 68] Operation: 77-9=68 Moving to Node #0,9,1 Current State: 75:[102, 68], Operations: ['21+81=102', '77-9=68'] Exploring Operation: 102-68=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,9 Current State: 75:[9, 77, 102], Operations: ['21+81=102'] Exploring Operation: 9+77=86, Resulting Numbers: [102, 86] Generated Node #0,9,2: 75:[102, 86] Operation: 9+77=86 Moving to Node #0,9,2 Current State: 75:[102, 86], Operations: ['21+81=102', '9+77=86'] Exploring Operation: 102-86=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0,9 Current State: 75:[9, 77, 102], Operations: ['21+81=102'] Exploring Operation: 9+102=111, Resulting Numbers: [77, 111] Generated Node #0,9,3: 75:[77, 111] Operation: 9+102=111 Moving to Node #0,9,3 Current State: 75:[77, 111], Operations: ['21+81=102', '9+102=111'] Exploring Operation: 111-77=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,9 Current State: 75:[9, 77, 102], Operations: ['21+81=102'] Exploring Operation: 102-77=25, Resulting Numbers: [9, 25] Generated Node #0,9,4: 75:[9, 25] Operation: 102-77=25 Moving to Node #0,9,4 Current State: 75:[9, 25], Operations: ['21+81=102', '102-77=25'] Exploring Operation: 9+25=34, Resulting Numbers: [34] 34,75 unequal: No Solution Moving to Node #0,9,4 Current State: 75:[9, 25], Operations: ['21+81=102', '102-77=25'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 21*9=189, Resulting Numbers: [77, 81, 189] Generated Node #0,10: 75:[77, 81, 189] Operation: 21*9=189 Moving to Node #0,10 Current State: 75:[77, 81, 189], Operations: ['21*9=189'] Exploring Operation: 189-81=108, Resulting Numbers: [77, 108] Generated Node #0,10,0: 75:[77, 108] Operation: 189-81=108 Moving to Node #0,10,0 Current State: 75:[77, 108], Operations: ['21*9=189', '189-81=108'] Exploring Operation: 108-77=31, Resulting Numbers: [31] 31,75 unequal: No Solution Moving to Node #0,10 Current State: 75:[77, 81, 189], Operations: ['21*9=189'] Exploring Operation: 189-77=112, Resulting Numbers: [81, 112] Generated Node #0,10,1: 75:[81, 112] Operation: 189-77=112 Moving to Node #0,10,1 Current State: 75:[81, 112], Operations: ['21*9=189', '189-77=112'] Exploring Operation: 112-81=31, Resulting Numbers: [31] 31,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [21, 77, 9] Generated Node #0,11: 75:[21, 77, 9] Operation: 81/9=9 Moving to Node #0,11 Current State: 75:[21, 77, 9], Operations: ['81/9=9'] Exploring Operation: 21+9=30, Resulting Numbers: [77, 30] Generated Node #0,11,0: 75:[77, 30] Operation: 21+9=30 Moving to Node #0,11,0 Current State: 75:[77, 30], Operations: ['81/9=9', '21+9=30'] Exploring Operation: 77-30=47, Resulting Numbers: [47] 47,75 unequal: No Solution Moving to Node #0,11,0 Current State: 75:[77, 30], Operations: ['81/9=9', '21+9=30'] Exploring Operation: 77+30=107, Resulting Numbers: [107] 107,75 unequal: No Solution Moving to Node #0,11 Current State: 75:[21, 77, 9], Operations: ['81/9=9'] Exploring Operation: 77-9=68, Resulting Numbers: [21, 68] Generated Node #0,11,1: 75:[21, 68] Operation: 77-9=68 Moving to Node #0,11,1 Current State: 75:[21, 68], Operations: ['81/9=9', '77-9=68'] Exploring Operation: 21+68=89, Resulting Numbers: [89] 89,75 unequal: No Solution Moving to Node #0,11,1 Current State: 75:[21, 68], Operations: ['81/9=9', '77-9=68'] Exploring Operation: 68-21=47, Resulting Numbers: [47] 47,75 unequal: No Solution Moving to Node #0,11 Current State: 75:[21, 77, 9], Operations: ['81/9=9'] Exploring Operation: 21-9=12, Resulting Numbers: [77, 12] Generated Node #0,11,2: 75:[77, 12] Operation: 21-9=12 Moving to Node #0,11,2 Current State: 75:[77, 12], Operations: ['81/9=9', '21-9=12'] Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,75 unequal: No Solution Moving to Node #0,11,2 Current State: 75:[77, 12], Operations: ['81/9=9', '21-9=12'] Exploring Operation: 77+12=89, Resulting Numbers: [89] 89,75 unequal: No Solution Moving to Node #0,11 Current State: 75:[21, 77, 9], Operations: ['81/9=9'] Exploring Operation: 77+9=86, Resulting Numbers: [21, 86] Generated Node #0,11,3: 75:[21, 86] Operation: 77+9=86 Moving to Node #0,11,3 Current State: 75:[21, 86], Operations: ['81/9=9', '77+9=86'] Exploring Operation: 86-21=65, Resulting Numbers: [65] 65,75 unequal: No Solution Moving to Node #0,11,3 Current State: 75:[21, 86], Operations: ['81/9=9', '77+9=86'] Exploring Operation: 21+86=107, Resulting Numbers: [107] 107,75 unequal: No Solution Moving to Node #0,11 Current State: 75:[21, 77, 9], Operations: ['81/9=9'] Exploring Operation: 77-21=56, Resulting Numbers: [9, 56] Generated Node #0,11,4: 75:[9, 56] Operation: 77-21=56 Moving to Node #0,11,4 Current State: 75:[9, 56], Operations: ['81/9=9', '77-21=56'] Exploring Operation: 9+56=65, Resulting Numbers: [65] 65,75 unequal: No Solution Moving to Node #0,11,4 Current State: 75:[9, 56], Operations: ['81/9=9', '77-21=56'] Exploring Operation: 56-9=47, Resulting Numbers: [47] 47,75 unequal: No Solution Moving to Node #0,11 Current State: 75:[21, 77, 9], Operations: ['81/9=9'] Exploring Operation: 21+77=98, Resulting Numbers: [9, 98] Generated Node #0,11,5: 75:[9, 98] Operation: 21+77=98 Moving to Node #0,11,5 Current State: 75:[9, 98], Operations: ['81/9=9', '21+77=98'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,75 unequal: No Solution Moving to Node #0,11,5 Current State: 75:[9, 98], Operations: ['81/9=9', '21+77=98'] Exploring Operation: 9+98=107, Resulting Numbers: [107] 107,75 unequal: No Solution Moving to Node #0,11 Current State: 75:[21, 77, 9], Operations: ['81/9=9'] Exploring Operation: 21*9=189, Resulting Numbers: [77, 189] Generated Node #0,11,6: 75:[77, 189] Operation: 21*9=189 Moving to Node #0,11,6 Current State: 75:[77, 189], Operations: ['81/9=9', '21*9=189'] Exploring Operation: 189-77=112, Resulting Numbers: [112] 112,75 unequal: No Solution Moving to Node #0 Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [21, 9, 4] Generated Node #0,12: 75:[21, 9, 4] Operation: 81-77=4 Moving to Node #0,12 Current State: 75:[21, 9, 4], Operations: ['81-77=4'] Exploring Operation: 21*4=84, Resulting Numbers: [9, 84] Generated Node #0,12,0: 75:[9, 84] Operation: 21*4=84 Moving to Node #0,12,0 Current State: 75:[9, 84], Operations: ['81-77=4', '21*4=84'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
0.827257
dfs
Current State: 75:[21, 9, 77, 81], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [21, 9, 4] Generated Node #2: [21, 9, 4] from Operation: 81-77=4 Current State: 75:[21, 9, 4], Operations: ['81-77=4'] Exploring Operation: 21*4=84, Resulting Numbers: [9, 84] Generated Node #3: [9, 84] from Operation: 21*4=84 Current State: 75:[9, 84], Operations: ['81-77=4', '21*4=84'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
sum_heuristic
[ { "content": "Make 75 with the numbers [21, 9, 77, 81] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 21+9=30, Resulting Numbers: [77, 81, 30]\nGenerated Node #0,0: 75:[77, 81, 30] Operation: 21+9=30\nMoving to Node #0,0\nCurrent State: 75:[77, 81, 30], Operations: ['21+9=30']\nExploring Operation: 81-30=51, Resulting Numbers: [77, 51]\nGenerated Node #0,0,0: 75:[77, 51] Operation: 81-30=51\nMoving to Node #0,0,0\nCurrent State: 75:[77, 51], Operations: ['21+9=30', '81-30=51']\nExploring Operation: 77-51=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 75:[77, 51], Operations: ['21+9=30', '81-30=51']\nExploring Operation: 77+51=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[77, 81, 30], Operations: ['21+9=30']\nExploring Operation: 77-30=47, Resulting Numbers: [81, 47]\nGenerated Node #0,0,1: 75:[81, 47] Operation: 77-30=47\nMoving to Node #0,0,1\nCurrent State: 75:[81, 47], Operations: ['21+9=30', '77-30=47']\nExploring Operation: 81-47=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 75:[81, 47], Operations: ['21+9=30', '77-30=47']\nExploring Operation: 81+47=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[77, 81, 30], Operations: ['21+9=30']\nExploring Operation: 77+30=107, Resulting Numbers: [81, 107]\nGenerated Node #0,0,2: 75:[81, 107] Operation: 77+30=107\nMoving to Node #0,0,2\nCurrent State: 75:[81, 107], Operations: ['21+9=30', '77+30=107']\nExploring Operation: 107-81=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[77, 81, 30], Operations: ['21+9=30']\nExploring Operation: 81+30=111, Resulting Numbers: [77, 111]\nGenerated Node #0,0,3: 75:[77, 111] Operation: 81+30=111\nMoving to Node #0,0,3\nCurrent State: 75:[77, 111], Operations: ['21+9=30', '81+30=111']\nExploring Operation: 111-77=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[77, 81, 30], Operations: ['21+9=30']\nExploring Operation: 81-77=4, Resulting Numbers: [30, 4]\nGenerated Node #0,0,4: 75:[30, 4] Operation: 81-77=4\nMoving to Node #0,0,4\nCurrent State: 75:[30, 4], Operations: ['21+9=30', '81-77=4']\nExploring Operation: 30+4=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 75:[30, 4], Operations: ['21+9=30', '81-77=4']\nExploring Operation: 30*4=120, Resulting Numbers: [120]\n120,75 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 75:[30, 4], Operations: ['21+9=30', '81-77=4']\nExploring Operation: 30-4=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[77, 81, 30], Operations: ['21+9=30']\nExploring Operation: 77+81=158, Resulting Numbers: [30, 158]\nGenerated Node #0,0,5: 75:[30, 158] Operation: 77+81=158\nMoving to Node #0,0,5\nCurrent State: 75:[30, 158], Operations: ['21+9=30', '77+81=158']\nExploring Operation: 158-30=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 81-9=72, Resulting Numbers: [21, 77, 72]\nGenerated Node #0,1: 75:[21, 77, 72] Operation: 81-9=72\nMoving to Node #0,1\nCurrent State: 75:[21, 77, 72], Operations: ['81-9=72']\nExploring Operation: 21+72=93, Resulting Numbers: [77, 93]\nGenerated Node #0,1,0: 75:[77, 93] Operation: 21+72=93\nMoving to Node #0,1,0\nCurrent State: 75:[77, 93], Operations: ['81-9=72', '21+72=93']\nExploring Operation: 93-77=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[21, 77, 72], Operations: ['81-9=72']\nExploring Operation: 77-21=56, Resulting Numbers: [72, 56]\nGenerated Node #0,1,1: 75:[72, 56] Operation: 77-21=56\nMoving to Node #0,1,1\nCurrent State: 75:[72, 56], Operations: ['81-9=72', '77-21=56']\nExploring Operation: 72+56=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 75:[72, 56], Operations: ['81-9=72', '77-21=56']\nExploring Operation: 72-56=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[21, 77, 72], Operations: ['81-9=72']\nExploring Operation: 21+77=98, Resulting Numbers: [72, 98]\nGenerated Node #0,1,2: 75:[72, 98] Operation: 21+77=98\nMoving to Node #0,1,2\nCurrent State: 75:[72, 98], Operations: ['81-9=72', '21+77=98']\nExploring Operation: 98-72=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[21, 77, 72], Operations: ['81-9=72']\nExploring Operation: 72-21=51, Resulting Numbers: [77, 51]\nGenerated Node #0,1,3: 75:[77, 51] Operation: 72-21=51\nMoving to Node #0,1,3\nCurrent State: 75:[77, 51], Operations: ['81-9=72', '72-21=51']\nExploring Operation: 77-51=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 75:[77, 51], Operations: ['81-9=72', '72-21=51']\nExploring Operation: 77+51=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[21, 77, 72], Operations: ['81-9=72']\nExploring Operation: 77-72=5, Resulting Numbers: [21, 5]\nGenerated Node #0,1,4: 75:[21, 5] Operation: 77-72=5\nMoving to Node #0,1,4\nCurrent State: 75:[21, 5], Operations: ['81-9=72', '77-72=5']\nExploring Operation: 21*5=105, Resulting Numbers: [105]\n105,75 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 75:[21, 5], Operations: ['81-9=72', '77-72=5']\nExploring Operation: 21+5=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 75:[21, 5], Operations: ['81-9=72', '77-72=5']\nExploring Operation: 21-5=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[21, 77, 72], Operations: ['81-9=72']\nExploring Operation: 77+72=149, Resulting Numbers: [21, 149]\nGenerated Node #0,1,5: 75:[21, 149] Operation: 77+72=149\nMoving to Node #0,1,5\nCurrent State: 75:[21, 149], Operations: ['81-9=72', '77+72=149']\nExploring Operation: 149-21=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 77-9=68, Resulting Numbers: [21, 81, 68]\nGenerated Node #0,2: 75:[21, 81, 68] Operation: 77-9=68\nMoving to Node #0,2\nCurrent State: 75:[21, 81, 68], Operations: ['77-9=68']\nExploring Operation: 21+68=89, Resulting Numbers: [81, 89]\nGenerated Node #0,2,0: 75:[81, 89] Operation: 21+68=89\nMoving to Node #0,2,0\nCurrent State: 75:[81, 89], Operations: ['77-9=68', '21+68=89']\nExploring Operation: 89-81=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 75:[21, 81, 68], Operations: ['77-9=68']\nExploring Operation: 81-21=60, Resulting Numbers: [68, 60]\nGenerated Node #0,2,1: 75:[68, 60] Operation: 81-21=60\nMoving to Node #0,2,1\nCurrent State: 75:[68, 60], Operations: ['77-9=68', '81-21=60']\nExploring Operation: 68+60=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 75:[68, 60], Operations: ['77-9=68', '81-21=60']\nExploring Operation: 68-60=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 75:[21, 81, 68], Operations: ['77-9=68']\nExploring Operation: 21+81=102, Resulting Numbers: [68, 102]\nGenerated Node #0,2,2: 75:[68, 102] Operation: 21+81=102\nMoving to Node #0,2,2\nCurrent State: 75:[68, 102], Operations: ['77-9=68', '21+81=102']\nExploring Operation: 102-68=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 75:[21, 81, 68], Operations: ['77-9=68']\nExploring Operation: 68-21=47, Resulting Numbers: [81, 47]\nGenerated Node #0,2,3: 75:[81, 47] Operation: 68-21=47\nMoving to Node #0,2,3\nCurrent State: 75:[81, 47], Operations: ['77-9=68', '68-21=47']\nExploring Operation: 81-47=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 75:[81, 47], Operations: ['77-9=68', '68-21=47']\nExploring Operation: 81+47=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 75:[21, 81, 68], Operations: ['77-9=68']\nExploring Operation: 81-68=13, Resulting Numbers: [21, 13]\nGenerated Node #0,2,4: 75:[21, 13] Operation: 81-68=13\nMoving to Node #0,2,4\nCurrent State: 75:[21, 13], Operations: ['77-9=68', '81-68=13']\nExploring Operation: 21+13=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 75:[21, 13], Operations: ['77-9=68', '81-68=13']\nExploring Operation: 21-13=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 75:[21, 81, 68], Operations: ['77-9=68']\nExploring Operation: 81+68=149, Resulting Numbers: [21, 149]\nGenerated Node #0,2,5: 75:[21, 149] Operation: 81+68=149\nMoving to Node #0,2,5\nCurrent State: 75:[21, 149], Operations: ['77-9=68', '81+68=149']\nExploring Operation: 149-21=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 21-9=12, Resulting Numbers: [77, 81, 12]\nGenerated Node #0,3: 75:[77, 81, 12] Operation: 21-9=12\nMoving to Node #0,3\nCurrent State: 75:[77, 81, 12], Operations: ['21-9=12']\nExploring Operation: 81-12=69, Resulting Numbers: [77, 69]\nGenerated Node #0,3,0: 75:[77, 69] Operation: 81-12=69\nMoving to Node #0,3,0\nCurrent State: 75:[77, 69], Operations: ['21-9=12', '81-12=69']\nExploring Operation: 77-69=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 75:[77, 69], Operations: ['21-9=12', '81-12=69']\nExploring Operation: 77+69=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 75:[77, 81, 12], Operations: ['21-9=12']\nExploring Operation: 77-12=65, Resulting Numbers: [81, 65]\nGenerated Node #0,3,1: 75:[81, 65] Operation: 77-12=65\nMoving to Node #0,3,1\nCurrent State: 75:[81, 65], Operations: ['21-9=12', '77-12=65']\nExploring Operation: 81-65=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 75:[81, 65], Operations: ['21-9=12', '77-12=65']\nExploring Operation: 81+65=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 75:[77, 81, 12], Operations: ['21-9=12']\nExploring Operation: 77+12=89, Resulting Numbers: [81, 89]\nGenerated Node #0,3,2: 75:[81, 89] Operation: 77+12=89\nMoving to Node #0,3,2\nCurrent State: 75:[81, 89], Operations: ['21-9=12', '77+12=89']\nExploring Operation: 89-81=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 75:[77, 81, 12], Operations: ['21-9=12']\nExploring Operation: 81+12=93, Resulting Numbers: [77, 93]\nGenerated Node #0,3,3: 75:[77, 93] Operation: 81+12=93\nMoving to Node #0,3,3\nCurrent State: 75:[77, 93], Operations: ['21-9=12', '81+12=93']\nExploring Operation: 93-77=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 75:[77, 81, 12], Operations: ['21-9=12']\nExploring Operation: 81-77=4, Resulting Numbers: [12, 4]\nGenerated Node #0,3,4: 75:[12, 4] Operation: 81-77=4\nMoving to Node #0,3,4\nCurrent State: 75:[12, 4], Operations: ['21-9=12', '81-77=4']\nExploring Operation: 12*4=48, Resulting Numbers: [48]\n48,75 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 75:[12, 4], Operations: ['21-9=12', '81-77=4']\nExploring Operation: 12+4=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 75:[12, 4], Operations: ['21-9=12', '81-77=4']\nExploring Operation: 12-4=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 75:[12, 4], Operations: ['21-9=12', '81-77=4']\nExploring Operation: 12/4=3, Resulting Numbers: [3]\n3,75 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 75:[77, 81, 12], Operations: ['21-9=12']\nExploring Operation: 77+81=158, Resulting Numbers: [12, 158]\nGenerated Node #0,3,5: 75:[12, 158] Operation: 77+81=158\nMoving to Node #0,3,5\nCurrent State: 75:[12, 158], Operations: ['21-9=12', '77+81=158']\nExploring Operation: 158-12=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 9+77=86, Resulting Numbers: [21, 81, 86]\nGenerated Node #0,4: 75:[21, 81, 86] Operation: 9+77=86\nMoving to Node #0,4\nCurrent State: 75:[21, 81, 86], Operations: ['9+77=86']\nExploring Operation: 86-21=65, Resulting Numbers: [81, 65]\nGenerated Node #0,4,0: 75:[81, 65] Operation: 86-21=65\nMoving to Node #0,4,0\nCurrent State: 75:[81, 65], Operations: ['9+77=86', '86-21=65']\nExploring Operation: 81-65=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 75:[81, 65], Operations: ['9+77=86', '86-21=65']\nExploring Operation: 81+65=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 75:[21, 81, 86], Operations: ['9+77=86']\nExploring Operation: 81-21=60, Resulting Numbers: [86, 60]\nGenerated Node #0,4,1: 75:[86, 60] Operation: 81-21=60\nMoving to Node #0,4,1\nCurrent State: 75:[86, 60], Operations: ['9+77=86', '81-21=60']\nExploring Operation: 86-60=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 75:[86, 60], Operations: ['9+77=86', '81-21=60']\nExploring Operation: 86+60=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 75:[21, 81, 86], Operations: ['9+77=86']\nExploring Operation: 21+81=102, Resulting Numbers: [86, 102]\nGenerated Node #0,4,2: 75:[86, 102] Operation: 21+81=102\nMoving to Node #0,4,2\nCurrent State: 75:[86, 102], Operations: ['9+77=86', '21+81=102']\nExploring Operation: 102-86=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 75:[21, 81, 86], Operations: ['9+77=86']\nExploring Operation: 21+86=107, Resulting Numbers: [81, 107]\nGenerated Node #0,4,3: 75:[81, 107] Operation: 21+86=107\nMoving to Node #0,4,3\nCurrent State: 75:[81, 107], Operations: ['9+77=86', '21+86=107']\nExploring Operation: 107-81=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 75:[21, 81, 86], Operations: ['9+77=86']\nExploring Operation: 86-81=5, Resulting Numbers: [21, 5]\nGenerated Node #0,4,4: 75:[21, 5] Operation: 86-81=5\nMoving to Node #0,4,4\nCurrent State: 75:[21, 5], Operations: ['9+77=86', '86-81=5']\nExploring Operation: 21*5=105, Resulting Numbers: [105]\n105,75 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 75:[21, 5], Operations: ['9+77=86', '86-81=5']\nExploring Operation: 21+5=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 75:[21, 5], Operations: ['9+77=86', '86-81=5']\nExploring Operation: 21-5=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 75:[21, 81, 86], Operations: ['9+77=86']\nExploring Operation: 81+86=167, Resulting Numbers: [21, 167]\nGenerated Node #0,4,5: 75:[21, 167] Operation: 81+86=167\nMoving to Node #0,4,5\nCurrent State: 75:[21, 167], Operations: ['9+77=86', '81+86=167']\nExploring Operation: 167-21=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 9+81=90, Resulting Numbers: [21, 77, 90]\nGenerated Node #0,5: 75:[21, 77, 90] Operation: 9+81=90\nMoving to Node #0,5\nCurrent State: 75:[21, 77, 90], Operations: ['9+81=90']\nExploring Operation: 90-21=69, Resulting Numbers: [77, 69]\nGenerated Node #0,5,0: 75:[77, 69] Operation: 90-21=69\nMoving to Node #0,5,0\nCurrent State: 75:[77, 69], Operations: ['9+81=90', '90-21=69']\nExploring Operation: 77-69=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 75:[77, 69], Operations: ['9+81=90', '90-21=69']\nExploring Operation: 77+69=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 75:[21, 77, 90], Operations: ['9+81=90']\nExploring Operation: 77-21=56, Resulting Numbers: [90, 56]\nGenerated Node #0,5,1: 75:[90, 56] Operation: 77-21=56\nMoving to Node #0,5,1\nCurrent State: 75:[90, 56], Operations: ['9+81=90', '77-21=56']\nExploring Operation: 90-56=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 75:[90, 56], Operations: ['9+81=90', '77-21=56']\nExploring Operation: 90+56=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 75:[21, 77, 90], Operations: ['9+81=90']\nExploring Operation: 21+77=98, Resulting Numbers: [90, 98]\nGenerated Node #0,5,2: 75:[90, 98] Operation: 21+77=98\nMoving to Node #0,5,2\nCurrent State: 75:[90, 98], Operations: ['9+81=90', '21+77=98']\nExploring Operation: 98-90=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 75:[21, 77, 90], Operations: ['9+81=90']\nExploring Operation: 21+90=111, Resulting Numbers: [77, 111]\nGenerated Node #0,5,3: 75:[77, 111] Operation: 21+90=111\nMoving to Node #0,5,3\nCurrent State: 75:[77, 111], Operations: ['9+81=90', '21+90=111']\nExploring Operation: 111-77=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 75:[21, 77, 90], Operations: ['9+81=90']\nExploring Operation: 90-77=13, Resulting Numbers: [21, 13]\nGenerated Node #0,5,4: 75:[21, 13] Operation: 90-77=13\nMoving to Node #0,5,4\nCurrent State: 75:[21, 13], Operations: ['9+81=90', '90-77=13']\nExploring Operation: 21+13=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 75:[21, 13], Operations: ['9+81=90', '90-77=13']\nExploring Operation: 21-13=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 75:[21, 77, 90], Operations: ['9+81=90']\nExploring Operation: 77+90=167, Resulting Numbers: [21, 167]\nGenerated Node #0,5,5: 75:[21, 167] Operation: 77+90=167\nMoving to Node #0,5,5\nCurrent State: 75:[21, 167], Operations: ['9+81=90', '77+90=167']\nExploring Operation: 167-21=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 81-21=60, Resulting Numbers: [9, 77, 60]\nGenerated Node #0,6: 75:[9, 77, 60] Operation: 81-21=60\nMoving to Node #0,6\nCurrent State: 75:[9, 77, 60], Operations: ['81-21=60']\nExploring Operation: 9+60=69, Resulting Numbers: [77, 69]\nGenerated Node #0,6,0: 75:[77, 69] Operation: 9+60=69\nMoving to Node #0,6,0\nCurrent State: 75:[77, 69], Operations: ['81-21=60', '9+60=69']\nExploring Operation: 77-69=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 75:[77, 69], Operations: ['81-21=60', '9+60=69']\nExploring Operation: 77+69=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 75:[9, 77, 60], Operations: ['81-21=60']\nExploring Operation: 77-9=68, Resulting Numbers: [60, 68]\nGenerated Node #0,6,1: 75:[60, 68] Operation: 77-9=68\nMoving to Node #0,6,1\nCurrent State: 75:[60, 68], Operations: ['81-21=60', '77-9=68']\nExploring Operation: 60+68=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 75:[60, 68], Operations: ['81-21=60', '77-9=68']\nExploring Operation: 68-60=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 75:[9, 77, 60], Operations: ['81-21=60']\nExploring Operation: 9+77=86, Resulting Numbers: [60, 86]\nGenerated Node #0,6,2: 75:[60, 86] Operation: 9+77=86\nMoving to Node #0,6,2\nCurrent State: 75:[60, 86], Operations: ['81-21=60', '9+77=86']\nExploring Operation: 86-60=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 75:[60, 86], Operations: ['81-21=60', '9+77=86']\nExploring Operation: 60+86=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 75:[9, 77, 60], Operations: ['81-21=60']\nExploring Operation: 60-9=51, Resulting Numbers: [77, 51]\nGenerated Node #0,6,3: 75:[77, 51] Operation: 60-9=51\nMoving to Node #0,6,3\nCurrent State: 75:[77, 51], Operations: ['81-21=60', '60-9=51']\nExploring Operation: 77-51=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 75:[77, 51], Operations: ['81-21=60', '60-9=51']\nExploring Operation: 77+51=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 75:[9, 77, 60], Operations: ['81-21=60']\nExploring Operation: 77-60=17, Resulting Numbers: [9, 17]\nGenerated Node #0,6,4: 75:[9, 17] Operation: 77-60=17\nMoving to Node #0,6,4\nCurrent State: 75:[9, 17], Operations: ['81-21=60', '77-60=17']\nExploring Operation: 9+17=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 75:[9, 17], Operations: ['81-21=60', '77-60=17']\nExploring Operation: 17-9=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 75:[9, 77, 60], Operations: ['81-21=60']\nExploring Operation: 77+60=137, Resulting Numbers: [9, 137]\nGenerated Node #0,6,5: 75:[9, 137] Operation: 77+60=137\nMoving to Node #0,6,5\nCurrent State: 75:[9, 137], Operations: ['81-21=60', '77+60=137']\nExploring Operation: 137-9=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 75:[9, 137], Operations: ['81-21=60', '77+60=137']\nExploring Operation: 9+137=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 77-21=56, Resulting Numbers: [9, 81, 56]\nGenerated Node #0,7: 75:[9, 81, 56] Operation: 77-21=56\nMoving to Node #0,7\nCurrent State: 75:[9, 81, 56], Operations: ['77-21=56']\nExploring Operation: 9+56=65, Resulting Numbers: [81, 65]\nGenerated Node #0,7,0: 75:[81, 65] Operation: 9+56=65\nMoving to Node #0,7,0\nCurrent State: 75:[81, 65], Operations: ['77-21=56', '9+56=65']\nExploring Operation: 81-65=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 75:[81, 65], Operations: ['77-21=56', '9+56=65']\nExploring Operation: 81+65=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 75:[9, 81, 56], Operations: ['77-21=56']\nExploring Operation: 81-9=72, Resulting Numbers: [56, 72]\nGenerated Node #0,7,1: 75:[56, 72] Operation: 81-9=72\nMoving to Node #0,7,1\nCurrent State: 75:[56, 72], Operations: ['77-21=56', '81-9=72']\nExploring Operation: 56+72=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 75:[56, 72], Operations: ['77-21=56', '81-9=72']\nExploring Operation: 72-56=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 75:[9, 81, 56], Operations: ['77-21=56']\nExploring Operation: 9+81=90, Resulting Numbers: [56, 90]\nGenerated Node #0,7,2: 75:[56, 90] Operation: 9+81=90\nMoving to Node #0,7,2\nCurrent State: 75:[56, 90], Operations: ['77-21=56', '9+81=90']\nExploring Operation: 90-56=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 75:[56, 90], Operations: ['77-21=56', '9+81=90']\nExploring Operation: 56+90=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 75:[9, 81, 56], Operations: ['77-21=56']\nExploring Operation: 56-9=47, Resulting Numbers: [81, 47]\nGenerated Node #0,7,3: 75:[81, 47] Operation: 56-9=47\nMoving to Node #0,7,3\nCurrent State: 75:[81, 47], Operations: ['77-21=56', '56-9=47']\nExploring Operation: 81-47=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 75:[81, 47], Operations: ['77-21=56', '56-9=47']\nExploring Operation: 81+47=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 75:[9, 81, 56], Operations: ['77-21=56']\nExploring Operation: 81/9=9, Resulting Numbers: [56, 9]\nGenerated Node #0,7,4: 75:[56, 9] Operation: 81/9=9\nMoving to Node #0,7,4\nCurrent State: 75:[56, 9], Operations: ['77-21=56', '81/9=9']\nExploring Operation: 56+9=65, Resulting Numbers: [65]\n65,75 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 75:[56, 9], Operations: ['77-21=56', '81/9=9']\nExploring Operation: 56-9=47, Resulting Numbers: [47]\n47,75 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 75:[9, 81, 56], Operations: ['77-21=56']\nExploring Operation: 81-56=25, Resulting Numbers: [9, 25]\nGenerated Node #0,7,5: 75:[9, 25] Operation: 81-56=25\nMoving to Node #0,7,5\nCurrent State: 75:[9, 25], Operations: ['77-21=56', '81-56=25']\nExploring Operation: 9+25=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 75:[9, 25], Operations: ['77-21=56', '81-56=25']\nExploring Operation: 25-9=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 75:[9, 81, 56], Operations: ['77-21=56']\nExploring Operation: 81+56=137, Resulting Numbers: [9, 137]\nGenerated Node #0,7,6: 75:[9, 137] Operation: 81+56=137\nMoving to Node #0,7,6\nCurrent State: 75:[9, 137], Operations: ['77-21=56', '81+56=137']\nExploring Operation: 137-9=128, Resulting Numbers: [128]\n128,75 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 75:[9, 137], Operations: ['77-21=56', '81+56=137']\nExploring Operation: 9+137=146, Resulting Numbers: [146]\n146,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 21+77=98, Resulting Numbers: [9, 81, 98]\nGenerated Node #0,8: 75:[9, 81, 98] Operation: 21+77=98\nMoving to Node #0,8\nCurrent State: 75:[9, 81, 98], Operations: ['21+77=98']\nExploring Operation: 98-9=89, Resulting Numbers: [81, 89]\nGenerated Node #0,8,0: 75:[81, 89] Operation: 98-9=89\nMoving to Node #0,8,0\nCurrent State: 75:[81, 89], Operations: ['21+77=98', '98-9=89']\nExploring Operation: 89-81=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 75:[9, 81, 98], Operations: ['21+77=98']\nExploring Operation: 81-9=72, Resulting Numbers: [98, 72]\nGenerated Node #0,8,1: 75:[98, 72] Operation: 81-9=72\nMoving to Node #0,8,1\nCurrent State: 75:[98, 72], Operations: ['21+77=98', '81-9=72']\nExploring Operation: 98-72=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 75:[9, 81, 98], Operations: ['21+77=98']\nExploring Operation: 9+81=90, Resulting Numbers: [98, 90]\nGenerated Node #0,8,2: 75:[98, 90] Operation: 9+81=90\nMoving to Node #0,8,2\nCurrent State: 75:[98, 90], Operations: ['21+77=98', '9+81=90']\nExploring Operation: 98-90=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 75:[9, 81, 98], Operations: ['21+77=98']\nExploring Operation: 9+98=107, Resulting Numbers: [81, 107]\nGenerated Node #0,8,3: 75:[81, 107] Operation: 9+98=107\nMoving to Node #0,8,3\nCurrent State: 75:[81, 107], Operations: ['21+77=98', '9+98=107']\nExploring Operation: 107-81=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 75:[9, 81, 98], Operations: ['21+77=98']\nExploring Operation: 81/9=9, Resulting Numbers: [98, 9]\nGenerated Node #0,8,4: 75:[98, 9] Operation: 81/9=9\nMoving to Node #0,8,4\nCurrent State: 75:[98, 9], Operations: ['21+77=98', '81/9=9']\nExploring Operation: 98-9=89, Resulting Numbers: [89]\n89,75 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 75:[98, 9], Operations: ['21+77=98', '81/9=9']\nExploring Operation: 98+9=107, Resulting Numbers: [107]\n107,75 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 75:[9, 81, 98], Operations: ['21+77=98']\nExploring Operation: 98-81=17, Resulting Numbers: [9, 17]\nGenerated Node #0,8,5: 75:[9, 17] Operation: 98-81=17\nMoving to Node #0,8,5\nCurrent State: 75:[9, 17], Operations: ['21+77=98', '98-81=17']\nExploring Operation: 9+17=26, Resulting Numbers: [26]\n26,75 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 75:[9, 17], Operations: ['21+77=98', '98-81=17']\nExploring Operation: 17-9=8, Resulting Numbers: [8]\n8,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 21+81=102, Resulting Numbers: [9, 77, 102]\nGenerated Node #0,9: 75:[9, 77, 102] Operation: 21+81=102\nMoving to Node #0,9\nCurrent State: 75:[9, 77, 102], Operations: ['21+81=102']\nExploring Operation: 102-9=93, Resulting Numbers: [77, 93]\nGenerated Node #0,9,0: 75:[77, 93] Operation: 102-9=93\nMoving to Node #0,9,0\nCurrent State: 75:[77, 93], Operations: ['21+81=102', '102-9=93']\nExploring Operation: 93-77=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 75:[9, 77, 102], Operations: ['21+81=102']\nExploring Operation: 77-9=68, Resulting Numbers: [102, 68]\nGenerated Node #0,9,1: 75:[102, 68] Operation: 77-9=68\nMoving to Node #0,9,1\nCurrent State: 75:[102, 68], Operations: ['21+81=102', '77-9=68']\nExploring Operation: 102-68=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 75:[9, 77, 102], Operations: ['21+81=102']\nExploring Operation: 9+77=86, Resulting Numbers: [102, 86]\nGenerated Node #0,9,2: 75:[102, 86] Operation: 9+77=86\nMoving to Node #0,9,2\nCurrent State: 75:[102, 86], Operations: ['21+81=102', '9+77=86']\nExploring Operation: 102-86=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 75:[9, 77, 102], Operations: ['21+81=102']\nExploring Operation: 9+102=111, Resulting Numbers: [77, 111]\nGenerated Node #0,9,3: 75:[77, 111] Operation: 9+102=111\nMoving to Node #0,9,3\nCurrent State: 75:[77, 111], Operations: ['21+81=102', '9+102=111']\nExploring Operation: 111-77=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 75:[9, 77, 102], Operations: ['21+81=102']\nExploring Operation: 102-77=25, Resulting Numbers: [9, 25]\nGenerated Node #0,9,4: 75:[9, 25] Operation: 102-77=25\nMoving to Node #0,9,4\nCurrent State: 75:[9, 25], Operations: ['21+81=102', '102-77=25']\nExploring Operation: 9+25=34, Resulting Numbers: [34]\n34,75 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 75:[9, 25], Operations: ['21+81=102', '102-77=25']\nExploring Operation: 25-9=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 21*9=189, Resulting Numbers: [77, 81, 189]\nGenerated Node #0,10: 75:[77, 81, 189] Operation: 21*9=189\nMoving to Node #0,10\nCurrent State: 75:[77, 81, 189], Operations: ['21*9=189']\nExploring Operation: 189-81=108, Resulting Numbers: [77, 108]\nGenerated Node #0,10,0: 75:[77, 108] Operation: 189-81=108\nMoving to Node #0,10,0\nCurrent State: 75:[77, 108], Operations: ['21*9=189', '189-81=108']\nExploring Operation: 108-77=31, Resulting Numbers: [31]\n31,75 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 75:[77, 81, 189], Operations: ['21*9=189']\nExploring Operation: 189-77=112, Resulting Numbers: [81, 112]\nGenerated Node #0,10,1: 75:[81, 112] Operation: 189-77=112\nMoving to Node #0,10,1\nCurrent State: 75:[81, 112], Operations: ['21*9=189', '189-77=112']\nExploring Operation: 112-81=31, Resulting Numbers: [31]\n31,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 81/9=9, Resulting Numbers: [21, 77, 9]\nGenerated Node #0,11: 75:[21, 77, 9] Operation: 81/9=9\nMoving to Node #0,11\nCurrent State: 75:[21, 77, 9], Operations: ['81/9=9']\nExploring Operation: 21+9=30, Resulting Numbers: [77, 30]\nGenerated Node #0,11,0: 75:[77, 30] Operation: 21+9=30\nMoving to Node #0,11,0\nCurrent State: 75:[77, 30], Operations: ['81/9=9', '21+9=30']\nExploring Operation: 77-30=47, Resulting Numbers: [47]\n47,75 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 75:[77, 30], Operations: ['81/9=9', '21+9=30']\nExploring Operation: 77+30=107, Resulting Numbers: [107]\n107,75 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 75:[21, 77, 9], Operations: ['81/9=9']\nExploring Operation: 77-9=68, Resulting Numbers: [21, 68]\nGenerated Node #0,11,1: 75:[21, 68] Operation: 77-9=68\nMoving to Node #0,11,1\nCurrent State: 75:[21, 68], Operations: ['81/9=9', '77-9=68']\nExploring Operation: 21+68=89, Resulting Numbers: [89]\n89,75 unequal: No Solution\nMoving to Node #0,11,1\nCurrent State: 75:[21, 68], Operations: ['81/9=9', '77-9=68']\nExploring Operation: 68-21=47, Resulting Numbers: [47]\n47,75 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 75:[21, 77, 9], Operations: ['81/9=9']\nExploring Operation: 21-9=12, Resulting Numbers: [77, 12]\nGenerated Node #0,11,2: 75:[77, 12] Operation: 21-9=12\nMoving to Node #0,11,2\nCurrent State: 75:[77, 12], Operations: ['81/9=9', '21-9=12']\nExploring Operation: 77-12=65, Resulting Numbers: [65]\n65,75 unequal: No Solution\nMoving to Node #0,11,2\nCurrent State: 75:[77, 12], Operations: ['81/9=9', '21-9=12']\nExploring Operation: 77+12=89, Resulting Numbers: [89]\n89,75 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 75:[21, 77, 9], Operations: ['81/9=9']\nExploring Operation: 77+9=86, Resulting Numbers: [21, 86]\nGenerated Node #0,11,3: 75:[21, 86] Operation: 77+9=86\nMoving to Node #0,11,3\nCurrent State: 75:[21, 86], Operations: ['81/9=9', '77+9=86']\nExploring Operation: 86-21=65, Resulting Numbers: [65]\n65,75 unequal: No Solution\nMoving to Node #0,11,3\nCurrent State: 75:[21, 86], Operations: ['81/9=9', '77+9=86']\nExploring Operation: 21+86=107, Resulting Numbers: [107]\n107,75 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 75:[21, 77, 9], Operations: ['81/9=9']\nExploring Operation: 77-21=56, Resulting Numbers: [9, 56]\nGenerated Node #0,11,4: 75:[9, 56] Operation: 77-21=56\nMoving to Node #0,11,4\nCurrent State: 75:[9, 56], Operations: ['81/9=9', '77-21=56']\nExploring Operation: 9+56=65, Resulting Numbers: [65]\n65,75 unequal: No Solution\nMoving to Node #0,11,4\nCurrent State: 75:[9, 56], Operations: ['81/9=9', '77-21=56']\nExploring Operation: 56-9=47, Resulting Numbers: [47]\n47,75 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 75:[21, 77, 9], Operations: ['81/9=9']\nExploring Operation: 21+77=98, Resulting Numbers: [9, 98]\nGenerated Node #0,11,5: 75:[9, 98] Operation: 21+77=98\nMoving to Node #0,11,5\nCurrent State: 75:[9, 98], Operations: ['81/9=9', '21+77=98']\nExploring Operation: 98-9=89, Resulting Numbers: [89]\n89,75 unequal: No Solution\nMoving to Node #0,11,5\nCurrent State: 75:[9, 98], Operations: ['81/9=9', '21+77=98']\nExploring Operation: 9+98=107, Resulting Numbers: [107]\n107,75 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 75:[21, 77, 9], Operations: ['81/9=9']\nExploring Operation: 21*9=189, Resulting Numbers: [77, 189]\nGenerated Node #0,11,6: 75:[77, 189] Operation: 21*9=189\nMoving to Node #0,11,6\nCurrent State: 75:[77, 189], Operations: ['81/9=9', '21*9=189']\nExploring Operation: 189-77=112, Resulting Numbers: [112]\n112,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[21, 9, 77, 81], Operations: []\nExploring Operation: 81-77=4, Resulting Numbers: [21, 9, 4]\nGenerated Node #0,12: 75:[21, 9, 4] Operation: 81-77=4\nMoving to Node #0,12\nCurrent State: 75:[21, 9, 4], Operations: ['81-77=4']\nExploring Operation: 21*4=84, Resulting Numbers: [9, 84]\nGenerated Node #0,12,0: 75:[9, 84] Operation: 21*4=84\nMoving to Node #0,12,0\nCurrent State: 75:[9, 84], Operations: ['81-77=4', '21*4=84']\nExploring Operation: 84-9=75, Resulting Numbers: [75]\n75,75 equal: Goal Reached\n", "role": "assistant" } ]
[ 43, 69, 93, 12 ]
31
[ "43+69=112", "93-12=81", "112-81=31" ]
Current State: 31:[43, 69, 93, 12], Operations: [] Exploring Operation: 69-43=26, Resulting Numbers: [93, 12, 26] Generated Node #0,0: 31:[93, 12, 26] Operation: 69-43=26 Exploring Operation: 93-43=50, Resulting Numbers: [69, 12, 50] Generated Node #0,1: 31:[69, 12, 50] Operation: 93-43=50 Exploring Operation: 93-69=24, Resulting Numbers: [43, 12, 24] Generated Node #0,2: 31:[43, 12, 24] Operation: 93-69=24 Moving to Node #0,2 Current State: 31:[43, 12, 24], Operations: ['93-69=24'] Exploring Operation: 43-12=31, Resulting Numbers: [24, 31] Generated Node #0,2,0: 31:[24, 31] Operation: 43-12=31 Exploring Operation: 12+24=36, Resulting Numbers: [43, 36] Generated Node #0,2,1: 31:[43, 36] Operation: 12+24=36 Exploring Operation: 43+12=55, Resulting Numbers: [24, 55] Generated Node #0,2,2: 31:[24, 55] Operation: 43+12=55 Moving to Node #0,1 Current State: 31:[69, 12, 50], Operations: ['93-43=50'] Exploring Operation: 69-12=57, Resulting Numbers: [50, 57] Generated Node #0,1,0: 31:[50, 57] Operation: 69-12=57 Exploring Operation: 69-50=19, Resulting Numbers: [12, 19] Generated Node #0,1,1: 31:[12, 19] Operation: 69-50=19 Exploring Operation: 50-12=38, Resulting Numbers: [69, 38] Generated Node #0,1,2: 31:[69, 38] Operation: 50-12=38 Moving to Node #0,0 Current State: 31:[93, 12, 26], Operations: ['69-43=26'] Exploring Operation: 93-26=67, Resulting Numbers: [12, 67] Generated Node #0,0,0: 31:[12, 67] Operation: 93-26=67 Exploring Operation: 93-12=81, Resulting Numbers: [26, 81] Generated Node #0,0,1: 31:[26, 81] Operation: 93-12=81 Exploring Operation: 12+26=38, Resulting Numbers: [93, 38] Generated Node #0,0,2: 31:[93, 38] Operation: 12+26=38 Moving to Node #0,2,0 Current State: 31:[24, 31], Operations: ['93-69=24', '43-12=31'] Exploring Operation: 24*31=744, Resulting Numbers: [744] 744,31 unequal: No Solution Exploring Operation: 24+31=55, Resulting Numbers: [55] 55,31 unequal: No Solution Exploring Operation: 31-24=7, Resulting Numbers: [7] 7,31 unequal: No Solution Moving to Node #0,2,1 Current State: 31:[43, 36], Operations: ['93-69=24', '12+24=36'] Exploring Operation: 43+36=79, Resulting Numbers: [79] 79,31 unequal: No Solution Exploring Operation: 43-36=7, Resulting Numbers: [7] 7,31 unequal: No Solution Exploring Operation: 43*36=1548, Resulting Numbers: [1548] 1548,31 unequal: No Solution Moving to Node #0,2,2 Current State: 31:[24, 55], Operations: ['93-69=24', '43+12=55'] Exploring Operation: 24+55=79, Resulting Numbers: [79] 79,31 unequal: No Solution Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
0.981771
bfs_3
Current State: 31:[43, 69, 93, 12], Operations: [] Exploring Operation: 43+69=112, Resulting Numbers: [93, 12, 112] Generated Node #2: [93, 12, 112] from Operation: 43+69=112 Current State: 31:[93, 12, 112], Operations: ['43+69=112'] Exploring Operation: 93-12=81, Resulting Numbers: [112, 81] Generated Node #3: [112, 81] from Operation: 93-12=81 Current State: 31:[112, 81], Operations: ['43+69=112', '93-12=81'] Exploring Operation: 112-81=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
sum_heuristic
[ { "content": "Make 31 with the numbers [43, 69, 93, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 31:[43, 69, 93, 12], Operations: []\nExploring Operation: 69-43=26, Resulting Numbers: [93, 12, 26]\nGenerated Node #0,0: 31:[93, 12, 26] Operation: 69-43=26\nExploring Operation: 93-43=50, Resulting Numbers: [69, 12, 50]\nGenerated Node #0,1: 31:[69, 12, 50] Operation: 93-43=50\nExploring Operation: 93-69=24, Resulting Numbers: [43, 12, 24]\nGenerated Node #0,2: 31:[43, 12, 24] Operation: 93-69=24\nMoving to Node #0,2\nCurrent State: 31:[43, 12, 24], Operations: ['93-69=24']\nExploring Operation: 43-12=31, Resulting Numbers: [24, 31]\nGenerated Node #0,2,0: 31:[24, 31] Operation: 43-12=31\nExploring Operation: 12+24=36, Resulting Numbers: [43, 36]\nGenerated Node #0,2,1: 31:[43, 36] Operation: 12+24=36\nExploring Operation: 43+12=55, Resulting Numbers: [24, 55]\nGenerated Node #0,2,2: 31:[24, 55] Operation: 43+12=55\nMoving to Node #0,1\nCurrent State: 31:[69, 12, 50], Operations: ['93-43=50']\nExploring Operation: 69-12=57, Resulting Numbers: [50, 57]\nGenerated Node #0,1,0: 31:[50, 57] Operation: 69-12=57\nExploring Operation: 69-50=19, Resulting Numbers: [12, 19]\nGenerated Node #0,1,1: 31:[12, 19] Operation: 69-50=19\nExploring Operation: 50-12=38, Resulting Numbers: [69, 38]\nGenerated Node #0,1,2: 31:[69, 38] Operation: 50-12=38\nMoving to Node #0,0\nCurrent State: 31:[93, 12, 26], Operations: ['69-43=26']\nExploring Operation: 93-26=67, Resulting Numbers: [12, 67]\nGenerated Node #0,0,0: 31:[12, 67] Operation: 93-26=67\nExploring Operation: 93-12=81, Resulting Numbers: [26, 81]\nGenerated Node #0,0,1: 31:[26, 81] Operation: 93-12=81\nExploring Operation: 12+26=38, Resulting Numbers: [93, 38]\nGenerated Node #0,0,2: 31:[93, 38] Operation: 12+26=38\nMoving to Node #0,2,0\nCurrent State: 31:[24, 31], Operations: ['93-69=24', '43-12=31']\nExploring Operation: 24*31=744, Resulting Numbers: [744]\n744,31 unequal: No Solution\nExploring Operation: 24+31=55, Resulting Numbers: [55]\n55,31 unequal: No Solution\nExploring Operation: 31-24=7, Resulting Numbers: [7]\n7,31 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 31:[43, 36], Operations: ['93-69=24', '12+24=36']\nExploring Operation: 43+36=79, Resulting Numbers: [79]\n79,31 unequal: No Solution\nExploring Operation: 43-36=7, Resulting Numbers: [7]\n7,31 unequal: No Solution\nExploring Operation: 43*36=1548, Resulting Numbers: [1548]\n1548,31 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 31:[24, 55], Operations: ['93-69=24', '43+12=55']\nExploring Operation: 24+55=79, Resulting Numbers: [79]\n79,31 unequal: No Solution\nExploring Operation: 55-24=31, Resulting Numbers: [31]\n31,31 equal: Goal Reached\n", "role": "assistant" } ]
[ 13, 89, 5, 2 ]
43
[ "89-13=76", "76/2=38", "5+38=43" ]
Current State: 43:[13, 89, 5, 2], Operations: []
0
dfs
Current State: 43:[13, 89, 5, 2], Operations: [] Exploring Operation: 89-13=76, Resulting Numbers: [5, 2, 76] Generated Node #2: [5, 2, 76] from Operation: 89-13=76 Current State: 43:[5, 2, 76], Operations: ['89-13=76'] Exploring Operation: 76/2=38, Resulting Numbers: [5, 38] Generated Node #3: [5, 38] from Operation: 76/2=38 Current State: 43:[5, 38], Operations: ['89-13=76', '76/2=38'] Exploring Operation: 5+38=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
mult_heuristic
[ { "content": "Make 43 with the numbers [13, 89, 5, 2] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 43:[13, 89, 5, 2], Operations: []\n", "role": "assistant" } ]
[ 14, 31, 73, 79 ]
76
[ "14+79=93", "93/31=3", "73+3=76" ]
Current State: 76:[14, 31, 73, 79], Operations: [] Exploring Operation: 31-14=17, Resulting Numbers: [73, 79, 17] Generated Node #0,0: 76:[73, 79, 17] Operation: 31-14=17 Exploring Operation: 14+73=87, Resulting Numbers: [31, 79, 87] Generated Node #0,1: 76:[31, 79, 87] Operation: 14+73=87 Exploring Operation: 14+31=45, Resulting Numbers: [73, 79, 45] Generated Node #0,2: 76:[73, 79, 45] Operation: 14+31=45 Exploring Operation: 79-14=65, Resulting Numbers: [31, 73, 65] Generated Node #0,3: 76:[31, 73, 65] Operation: 79-14=65 Moving to Node #0,2 Current State: 76:[73, 79, 45], Operations: ['14+31=45'] Exploring Operation: 79-45=34, Resulting Numbers: [73, 34] Generated Node #0,2,0: 76:[73, 34] Operation: 79-45=34 Exploring Operation: 73-45=28, Resulting Numbers: [79, 28] Generated Node #0,2,1: 76:[79, 28] Operation: 73-45=28 Exploring Operation: 79+45=124, Resulting Numbers: [73, 124] Generated Node #0,2,2: 76:[73, 124] Operation: 79+45=124 Exploring Operation: 73+45=118, Resulting Numbers: [79, 118] Generated Node #0,2,3: 76:[79, 118] Operation: 73+45=118 Moving to Node #0,3 Current State: 76:[31, 73, 65], Operations: ['79-14=65'] Exploring Operation: 31+73=104, Resulting Numbers: [65, 104] Generated Node #0,3,0: 76:[65, 104] Operation: 31+73=104 Exploring Operation: 73-31=42, Resulting Numbers: [65, 42] Generated Node #0,3,1: 76:[65, 42] Operation: 73-31=42 Exploring Operation: 31+65=96, Resulting Numbers: [73, 96] Generated Node #0,3,2: 76:[73, 96] Operation: 31+65=96 Exploring Operation: 65-31=34, Resulting Numbers: [73, 34] Generated Node #0,3,3: 76:[73, 34] Operation: 65-31=34 Moving to Node #0,1 Current State: 76:[31, 79, 87], Operations: ['14+73=87'] Exploring Operation: 79-31=48, Resulting Numbers: [87, 48] Generated Node #0,1,0: 76:[87, 48] Operation: 79-31=48 Exploring Operation: 31+79=110, Resulting Numbers: [87, 110] Generated Node #0,1,1: 76:[87, 110] Operation: 31+79=110 Exploring Operation: 87-31=56, Resulting Numbers: [79, 56] Generated Node #0,1,2: 76:[79, 56] Operation: 87-31=56 Exploring Operation: 31+87=118, Resulting Numbers: [79, 118] Generated Node #0,1,3: 76:[79, 118] Operation: 31+87=118 Moving to Node #0,0 Current State: 76:[73, 79, 17], Operations: ['31-14=17'] Exploring Operation: 79+17=96, Resulting Numbers: [73, 96] Generated Node #0,0,0: 76:[73, 96] Operation: 79+17=96 Exploring Operation: 73-17=56, Resulting Numbers: [79, 56] Generated Node #0,0,1: 76:[79, 56] Operation: 73-17=56 Exploring Operation: 73+17=90, Resulting Numbers: [79, 90] Generated Node #0,0,2: 76:[79, 90] Operation: 73+17=90 Exploring Operation: 79-17=62, Resulting Numbers: [73, 62] Generated Node #0,0,3: 76:[73, 62] Operation: 79-17=62 Moving to Node #0,0,2 Current State: 76:[79, 90], Operations: ['31-14=17', '73+17=90'] Exploring Operation: 79+90=169, Resulting Numbers: [169] 169,76 unequal: No Solution Exploring Operation: 90-79=11, Resulting Numbers: [11] 11,76 unequal: No Solution Exploring Operation: 79*90=7110, Resulting Numbers: [7110] 7110,76 unequal: No Solution Moving to Node #0,0,3 Current State: 76:[73, 62], Operations: ['31-14=17', '79-17=62'] Exploring Operation: 73*62=4526, Resulting Numbers: [4526] 4526,76 unequal: No Solution Exploring Operation: 73+62=135, Resulting Numbers: [135] 135,76 unequal: No Solution Exploring Operation: 73-62=11, Resulting Numbers: [11] 11,76 unequal: No Solution Moving to Node #0,3,2 Current State: 76:[73, 96], Operations: ['79-14=65', '31+65=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 73+96=169, Resulting Numbers: [169] 169,76 unequal: No Solution Exploring Operation: 73*96=7008, Resulting Numbers: [7008] 7008,76 unequal: No Solution Moving to Node #0,0,0 Current State: 76:[73, 96], Operations: ['31-14=17', '79+17=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 73+96=169, Resulting Numbers: [169] 169,76 unequal: No Solution Exploring Operation: 73*96=7008, Resulting Numbers: [7008] 7008,76 unequal: No Solution Moving to Node #0,1,2 Current State: 76:[79, 56], Operations: ['14+73=87', '87-31=56'] Exploring Operation: 79-56=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 79+56=135, Resulting Numbers: [135] 135,76 unequal: No Solution Exploring Operation: 79*56=4424, Resulting Numbers: [4424] 4424,76 unequal: No Solution Moving to Node #0,0,1 Current State: 76:[79, 56], Operations: ['31-14=17', '73-17=56'] Exploring Operation: 79+56=135, Resulting Numbers: [135] 135,76 unequal: No Solution Exploring Operation: 79-56=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 79*56=4424, Resulting Numbers: [4424] 4424,76 unequal: No Solution Moving to Node #0,3,0 Current State: 76:[65, 104], Operations: ['79-14=65', '31+73=104'] Exploring Operation: 104-65=39, Resulting Numbers: [39] 39,76 unequal: No Solution Exploring Operation: 65*104=6760, Resulting Numbers: [6760] 6760,76 unequal: No Solution Exploring Operation: 65+104=169, Resulting Numbers: [169] 169,76 unequal: No Solution Moving to Node #0,1,0 Current State: 76:[87, 48], Operations: ['14+73=87', '79-31=48'] Exploring Operation: 87-48=39, Resulting Numbers: [39] 39,76 unequal: No Solution Exploring Operation: 87*48=4176, Resulting Numbers: [4176] 4176,76 unequal: No Solution Exploring Operation: 87+48=135, Resulting Numbers: [135] 135,76 unequal: No Solution Moving to Node #0,3,1 Current State: 76:[65, 42], Operations: ['79-14=65', '73-31=42'] Exploring Operation: 65+42=107, Resulting Numbers: [107] 107,76 unequal: No Solution Exploring Operation: 65*42=2730, Resulting Numbers: [2730] 2730,76 unequal: No Solution Exploring Operation: 65-42=23, Resulting Numbers: [23] 23,76 unequal: No Solution Moving to Node #0,1,3 Current State: 76:[79, 118], Operations: ['14+73=87', '31+87=118'] Exploring Operation: 79+118=197, Resulting Numbers: [197] 197,76 unequal: No Solution Exploring Operation: 79*118=9322, Resulting Numbers: [9322] 9322,76 unequal: No Solution Exploring Operation: 118-79=39, Resulting Numbers: [39] 39,76 unequal: No Solution Moving to Node #0,1,1 Current State: 76:[87, 110], Operations: ['14+73=87', '31+79=110'] Exploring Operation: 87*110=9570, Resulting Numbers: [9570] 9570,76 unequal: No Solution Exploring Operation: 87+110=197, Resulting Numbers: [197] 197,76 unequal: No Solution Exploring Operation: 110-87=23, Resulting Numbers: [23] 23,76 unequal: No Solution Moving to Node #0,2,3 Current State: 76:[79, 118], Operations: ['14+31=45', '73+45=118'] Exploring Operation: 79*118=9322, Resulting Numbers: [9322] 9322,76 unequal: No Solution Exploring Operation: 118-79=39, Resulting Numbers: [39] 39,76 unequal: No Solution Exploring Operation: 79+118=197, Resulting Numbers: [197] 197,76 unequal: No Solution Moving to Node #0,3,3 Current State: 76:[73, 34], Operations: ['79-14=65', '65-31=34'] Exploring Operation: 73*34=2482, Resulting Numbers: [2482] 2482,76 unequal: No Solution Exploring Operation: 73+34=107, Resulting Numbers: [107] 107,76 unequal: No Solution Exploring Operation: 73-34=39, Resulting Numbers: [39] 39,76 unequal: No Solution Moving to Node #0,2,0 Current State: 76:[73, 34], Operations: ['14+31=45', '79-45=34'] Exploring Operation: 73+34=107, Resulting Numbers: [107] 107,76 unequal: No Solution Exploring Operation: 73*34=2482, Resulting Numbers: [2482] 2482,76 unequal: No Solution Exploring Operation: 73-34=39, Resulting Numbers: [39] 39,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[79, 28], Operations: ['14+31=45', '73-45=28'] Exploring Operation: 79+28=107, Resulting Numbers: [107] 107,76 unequal: No Solution Exploring Operation: 79-28=51, Resulting Numbers: [51] 51,76 unequal: No Solution Exploring Operation: 79*28=2212, Resulting Numbers: [2212] 2212,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[73, 124], Operations: ['14+31=45', '79+45=124'] Exploring Operation: 73*124=9052, Resulting Numbers: [9052] 9052,76 unequal: No Solution Exploring Operation: 124-73=51, Resulting Numbers: [51] 51,76 unequal: No Solution Exploring Operation: 73+124=197, Resulting Numbers: [197] 197,76 unequal: No Solution Moving to Node #0,2,1,0 Current State: 76:[51], Operations: ['14+31=45', '73-45=28', '79-28=51'] Moving to Node #0,2,2,0 Current State: 76:[51], Operations: ['14+31=45', '79+45=124', '124-73=51'] Moving to Node #0,3,1,0 Current State: 76:[107], Operations: ['79-14=65', '73-31=42', '65+42=107'] Moving to Node #0,3,3,0 Current State: 76:[107], Operations: ['79-14=65', '65-31=34', '73+34=107'] Moving to Node #0,2,1,0 Current State: 76:[107], Operations: ['14+31=45', '73-45=28', '79+28=107'] Moving to Node #0,2,0,0 Current State: 76:[107], Operations: ['14+31=45', '79-45=34', '73+34=107'] Moving to Node #0,1,0,0 Current State: 76:[39], Operations: ['14+73=87', '79-31=48', '87-48=39'] Moving to Node #0,3,0,0 Current State: 76:[39], Operations: ['79-14=65', '31+73=104', '104-65=39'] Moving to Node #0,2,0,0 Current State: 76:[39], Operations: ['14+31=45', '79-45=34', '73-34=39'] Moving to Node #0,2,3,0 Current State: 76:[39], Operations: ['14+31=45', '73+45=118', '118-79=39'] Moving to Node #0,1,3,0 Current State: 76:[39], Operations: ['14+73=87', '31+87=118', '118-79=39'] Moving to Node #0,3,3,0 Current State: 76:[39], Operations: ['79-14=65', '65-31=34', '73-34=39'] Moving to Node #0,3,1,0 Current State: 76:[23], Operations: ['79-14=65', '73-31=42', '65-42=23'] Moving to Node #0,0,1,0 Current State: 76:[23], Operations: ['31-14=17', '73-17=56', '79-56=23'] Moving to Node #0,0,0,0 Current State: 76:[23], Operations: ['31-14=17', '79+17=96', '96-73=23'] Moving to Node #0,1,2,0 Current State: 76:[23], Operations: ['14+73=87', '87-31=56', '79-56=23'] Moving to Node #0,3,2,0 Current State: 76:[23], Operations: ['79-14=65', '31+65=96', '96-73=23'] Moving to Node #0,1,1,0 Current State: 76:[23], Operations: ['14+73=87', '31+79=110', '110-87=23'] Moving to Node #0,1,0,0 Current State: 76:[135], Operations: ['14+73=87', '79-31=48', '87+48=135'] Moving to Node #0,0,1,0 Current State: 76:[135], Operations: ['31-14=17', '73-17=56', '79+56=135'] Moving to Node #0,1,2,0 Current State: 76:[135], Operations: ['14+73=87', '87-31=56', '79+56=135'] Moving to Node #0,0,3,0 Current State: 76:[135], Operations: ['31-14=17', '79-17=62', '73+62=135'] Moving to Node #0,0,2,0 Current State: 76:[11], Operations: ['31-14=17', '73+17=90', '90-79=11'] Moving to Node #0,0,3,0 Current State: 76:[11], Operations: ['31-14=17', '79-17=62', '73-62=11'] Moving to Node #0,0,0,0 Current State: 76:[169], Operations: ['31-14=17', '79+17=96', '73+96=169'] Moving to Node #0,3,0,0 Current State: 76:[169], Operations: ['79-14=65', '31+73=104', '65+104=169'] Moving to Node #0,0,2,0 Current State: 76:[169], Operations: ['31-14=17', '73+17=90', '79+90=169'] Moving to Node #0,3,2,0 Current State: 76:[169], Operations: ['79-14=65', '31+65=96', '73+96=169'] Moving to Node #0,2,2,0 Current State: 76:[197], Operations: ['14+31=45', '79+45=124', '73+124=197'] Moving to Node #0,2,3,0 Current State: 76:[197], Operations: ['14+31=45', '73+45=118', '79+118=197'] Moving to Node #0,1,1,0 Current State: 76:[197], Operations: ['14+73=87', '31+79=110', '87+110=197'] Moving to Node #0,1,3,0 Current State: 76:[197], Operations: ['14+73=87', '31+87=118', '79+118=197'] Moving to Node #0,2,1,0 Current State: 76:[2212], Operations: ['14+31=45', '73-45=28', '79*28=2212'] Moving to Node #0,2,0,0 Current State: 76:[2482], Operations: ['14+31=45', '79-45=34', '73*34=2482'] Moving to Node #0,3,3,0 Current State: 76:[2482], Operations: ['79-14=65', '65-31=34', '73*34=2482'] Moving to Node #0,3,1,0 Current State: 76:[2730], Operations: ['79-14=65', '73-31=42', '65*42=2730'] Moving to Node #0,1,0,0 Current State: 76:[4176], Operations: ['14+73=87', '79-31=48', '87*48=4176'] Moving to Node #0,1,2,0 Current State: 76:[4424], Operations: ['14+73=87', '87-31=56', '79*56=4424'] Moving to Node #0,0,1,0 Current State: 76:[4424], Operations: ['31-14=17', '73-17=56', '79*56=4424'] Moving to Node #0,0,3,0 Current State: 76:[4526], Operations: ['31-14=17', '79-17=62', '73*62=4526'] Moving to Node #0,3,0,0 Current State: 76:[6760], Operations: ['79-14=65', '31+73=104', '65*104=6760'] Moving to Node #0,0,0,0 Current State: 76:[7008], Operations: ['31-14=17', '79+17=96', '73*96=7008'] Moving to Node #0,3,2,0 Current State: 76:[7008], Operations: ['79-14=65', '31+65=96', '73*96=7008'] Moving to Node #0,0,2,0 Current State: 76:[7110], Operations: ['31-14=17', '73+17=90', '79*90=7110'] Moving to Node #0,2,2,0 Current State: 76:[9052], Operations: ['14+31=45', '79+45=124', '73*124=9052'] Moving to Node #0,2,3,0 Current State: 76:[9322], Operations: ['14+31=45', '73+45=118', '79*118=9322'] Moving to Node #0,1,3,0 Current State: 76:[9322], Operations: ['14+73=87', '31+87=118', '79*118=9322'] Moving to Node #0,1,1,0 Current State: 76:[9570], Operations: ['14+73=87', '31+79=110', '87*110=9570'] No solution found.
0
bfs_4
Current State: 76:[14, 31, 73, 79], Operations: [] Exploring Operation: 14+79=93, Resulting Numbers: [31, 73, 93] Generated Node #2: [31, 73, 93] from Operation: 14+79=93 Current State: 76:[31, 73, 93], Operations: ['14+79=93'] Exploring Operation: 93/31=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 93/31=3 Current State: 76:[73, 3], Operations: ['14+79=93', '93/31=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
sum_heuristic
[ { "content": "Make 76 with the numbers [14, 31, 73, 79] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 76:[14, 31, 73, 79], Operations: []\nExploring Operation: 31-14=17, Resulting Numbers: [73, 79, 17]\nGenerated Node #0,0: 76:[73, 79, 17] Operation: 31-14=17\nExploring Operation: 14+73=87, Resulting Numbers: [31, 79, 87]\nGenerated Node #0,1: 76:[31, 79, 87] Operation: 14+73=87\nExploring Operation: 14+31=45, Resulting Numbers: [73, 79, 45]\nGenerated Node #0,2: 76:[73, 79, 45] Operation: 14+31=45\nExploring Operation: 79-14=65, Resulting Numbers: [31, 73, 65]\nGenerated Node #0,3: 76:[31, 73, 65] Operation: 79-14=65\nMoving to Node #0,2\nCurrent State: 76:[73, 79, 45], Operations: ['14+31=45']\nExploring Operation: 79-45=34, Resulting Numbers: [73, 34]\nGenerated Node #0,2,0: 76:[73, 34] Operation: 79-45=34\nExploring Operation: 73-45=28, Resulting Numbers: [79, 28]\nGenerated Node #0,2,1: 76:[79, 28] Operation: 73-45=28\nExploring Operation: 79+45=124, Resulting Numbers: [73, 124]\nGenerated Node #0,2,2: 76:[73, 124] Operation: 79+45=124\nExploring Operation: 73+45=118, Resulting Numbers: [79, 118]\nGenerated Node #0,2,3: 76:[79, 118] Operation: 73+45=118\nMoving to Node #0,3\nCurrent State: 76:[31, 73, 65], Operations: ['79-14=65']\nExploring Operation: 31+73=104, Resulting Numbers: [65, 104]\nGenerated Node #0,3,0: 76:[65, 104] Operation: 31+73=104\nExploring Operation: 73-31=42, Resulting Numbers: [65, 42]\nGenerated Node #0,3,1: 76:[65, 42] Operation: 73-31=42\nExploring Operation: 31+65=96, Resulting Numbers: [73, 96]\nGenerated Node #0,3,2: 76:[73, 96] Operation: 31+65=96\nExploring Operation: 65-31=34, Resulting Numbers: [73, 34]\nGenerated Node #0,3,3: 76:[73, 34] Operation: 65-31=34\nMoving to Node #0,1\nCurrent State: 76:[31, 79, 87], Operations: ['14+73=87']\nExploring Operation: 79-31=48, Resulting Numbers: [87, 48]\nGenerated Node #0,1,0: 76:[87, 48] Operation: 79-31=48\nExploring Operation: 31+79=110, Resulting Numbers: [87, 110]\nGenerated Node #0,1,1: 76:[87, 110] Operation: 31+79=110\nExploring Operation: 87-31=56, Resulting Numbers: [79, 56]\nGenerated Node #0,1,2: 76:[79, 56] Operation: 87-31=56\nExploring Operation: 31+87=118, Resulting Numbers: [79, 118]\nGenerated Node #0,1,3: 76:[79, 118] Operation: 31+87=118\nMoving to Node #0,0\nCurrent State: 76:[73, 79, 17], Operations: ['31-14=17']\nExploring Operation: 79+17=96, Resulting Numbers: [73, 96]\nGenerated Node #0,0,0: 76:[73, 96] Operation: 79+17=96\nExploring Operation: 73-17=56, Resulting Numbers: [79, 56]\nGenerated Node #0,0,1: 76:[79, 56] Operation: 73-17=56\nExploring Operation: 73+17=90, Resulting Numbers: [79, 90]\nGenerated Node #0,0,2: 76:[79, 90] Operation: 73+17=90\nExploring Operation: 79-17=62, Resulting Numbers: [73, 62]\nGenerated Node #0,0,3: 76:[73, 62] Operation: 79-17=62\nMoving to Node #0,0,2\nCurrent State: 76:[79, 90], Operations: ['31-14=17', '73+17=90']\nExploring Operation: 79+90=169, Resulting Numbers: [169]\n169,76 unequal: No Solution\nExploring Operation: 90-79=11, Resulting Numbers: [11]\n11,76 unequal: No Solution\nExploring Operation: 79*90=7110, Resulting Numbers: [7110]\n7110,76 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 76:[73, 62], Operations: ['31-14=17', '79-17=62']\nExploring Operation: 73*62=4526, Resulting Numbers: [4526]\n4526,76 unequal: No Solution\nExploring Operation: 73+62=135, Resulting Numbers: [135]\n135,76 unequal: No Solution\nExploring Operation: 73-62=11, Resulting Numbers: [11]\n11,76 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 76:[73, 96], Operations: ['79-14=65', '31+65=96']\nExploring Operation: 96-73=23, Resulting Numbers: [23]\n23,76 unequal: No Solution\nExploring Operation: 73+96=169, Resulting Numbers: [169]\n169,76 unequal: No Solution\nExploring Operation: 73*96=7008, Resulting Numbers: [7008]\n7008,76 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 76:[73, 96], Operations: ['31-14=17', '79+17=96']\nExploring Operation: 96-73=23, Resulting Numbers: [23]\n23,76 unequal: No Solution\nExploring Operation: 73+96=169, Resulting Numbers: [169]\n169,76 unequal: No Solution\nExploring Operation: 73*96=7008, Resulting Numbers: [7008]\n7008,76 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 76:[79, 56], Operations: ['14+73=87', '87-31=56']\nExploring Operation: 79-56=23, Resulting Numbers: [23]\n23,76 unequal: No Solution\nExploring Operation: 79+56=135, Resulting Numbers: [135]\n135,76 unequal: No Solution\nExploring Operation: 79*56=4424, Resulting Numbers: [4424]\n4424,76 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 76:[79, 56], Operations: ['31-14=17', '73-17=56']\nExploring Operation: 79+56=135, Resulting Numbers: [135]\n135,76 unequal: No Solution\nExploring Operation: 79-56=23, Resulting Numbers: [23]\n23,76 unequal: No Solution\nExploring Operation: 79*56=4424, Resulting Numbers: [4424]\n4424,76 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 76:[65, 104], Operations: ['79-14=65', '31+73=104']\nExploring Operation: 104-65=39, Resulting Numbers: [39]\n39,76 unequal: No Solution\nExploring Operation: 65*104=6760, Resulting Numbers: [6760]\n6760,76 unequal: No Solution\nExploring Operation: 65+104=169, Resulting Numbers: [169]\n169,76 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 76:[87, 48], Operations: ['14+73=87', '79-31=48']\nExploring Operation: 87-48=39, Resulting Numbers: [39]\n39,76 unequal: No Solution\nExploring Operation: 87*48=4176, Resulting Numbers: [4176]\n4176,76 unequal: No Solution\nExploring Operation: 87+48=135, Resulting Numbers: [135]\n135,76 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 76:[65, 42], Operations: ['79-14=65', '73-31=42']\nExploring Operation: 65+42=107, Resulting Numbers: [107]\n107,76 unequal: No Solution\nExploring Operation: 65*42=2730, Resulting Numbers: [2730]\n2730,76 unequal: No Solution\nExploring Operation: 65-42=23, Resulting Numbers: [23]\n23,76 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 76:[79, 118], Operations: ['14+73=87', '31+87=118']\nExploring Operation: 79+118=197, Resulting Numbers: [197]\n197,76 unequal: No Solution\nExploring Operation: 79*118=9322, Resulting Numbers: [9322]\n9322,76 unequal: No Solution\nExploring Operation: 118-79=39, Resulting Numbers: [39]\n39,76 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 76:[87, 110], Operations: ['14+73=87', '31+79=110']\nExploring Operation: 87*110=9570, Resulting Numbers: [9570]\n9570,76 unequal: No Solution\nExploring Operation: 87+110=197, Resulting Numbers: [197]\n197,76 unequal: No Solution\nExploring Operation: 110-87=23, Resulting Numbers: [23]\n23,76 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 76:[79, 118], Operations: ['14+31=45', '73+45=118']\nExploring Operation: 79*118=9322, Resulting Numbers: [9322]\n9322,76 unequal: No Solution\nExploring Operation: 118-79=39, Resulting Numbers: [39]\n39,76 unequal: No Solution\nExploring Operation: 79+118=197, Resulting Numbers: [197]\n197,76 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 76:[73, 34], Operations: ['79-14=65', '65-31=34']\nExploring Operation: 73*34=2482, Resulting Numbers: [2482]\n2482,76 unequal: No Solution\nExploring Operation: 73+34=107, Resulting Numbers: [107]\n107,76 unequal: No Solution\nExploring Operation: 73-34=39, Resulting Numbers: [39]\n39,76 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 76:[73, 34], Operations: ['14+31=45', '79-45=34']\nExploring Operation: 73+34=107, Resulting Numbers: [107]\n107,76 unequal: No Solution\nExploring Operation: 73*34=2482, Resulting Numbers: [2482]\n2482,76 unequal: No Solution\nExploring Operation: 73-34=39, Resulting Numbers: [39]\n39,76 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 76:[79, 28], Operations: ['14+31=45', '73-45=28']\nExploring Operation: 79+28=107, Resulting Numbers: [107]\n107,76 unequal: No Solution\nExploring Operation: 79-28=51, Resulting Numbers: [51]\n51,76 unequal: No Solution\nExploring Operation: 79*28=2212, Resulting Numbers: [2212]\n2212,76 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 76:[73, 124], Operations: ['14+31=45', '79+45=124']\nExploring Operation: 73*124=9052, Resulting Numbers: [9052]\n9052,76 unequal: No Solution\nExploring Operation: 124-73=51, Resulting Numbers: [51]\n51,76 unequal: No Solution\nExploring Operation: 73+124=197, Resulting Numbers: [197]\n197,76 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 76:[51], Operations: ['14+31=45', '73-45=28', '79-28=51']\nMoving to Node #0,2,2,0\nCurrent State: 76:[51], Operations: ['14+31=45', '79+45=124', '124-73=51']\nMoving to Node #0,3,1,0\nCurrent State: 76:[107], Operations: ['79-14=65', '73-31=42', '65+42=107']\nMoving to Node #0,3,3,0\nCurrent State: 76:[107], Operations: ['79-14=65', '65-31=34', '73+34=107']\nMoving to Node #0,2,1,0\nCurrent State: 76:[107], Operations: ['14+31=45', '73-45=28', '79+28=107']\nMoving to Node #0,2,0,0\nCurrent State: 76:[107], Operations: ['14+31=45', '79-45=34', '73+34=107']\nMoving to Node #0,1,0,0\nCurrent State: 76:[39], Operations: ['14+73=87', '79-31=48', '87-48=39']\nMoving to Node #0,3,0,0\nCurrent State: 76:[39], Operations: ['79-14=65', '31+73=104', '104-65=39']\nMoving to Node #0,2,0,0\nCurrent State: 76:[39], Operations: ['14+31=45', '79-45=34', '73-34=39']\nMoving to Node #0,2,3,0\nCurrent State: 76:[39], Operations: ['14+31=45', '73+45=118', '118-79=39']\nMoving to Node #0,1,3,0\nCurrent State: 76:[39], Operations: ['14+73=87', '31+87=118', '118-79=39']\nMoving to Node #0,3,3,0\nCurrent State: 76:[39], Operations: ['79-14=65', '65-31=34', '73-34=39']\nMoving to Node #0,3,1,0\nCurrent State: 76:[23], Operations: ['79-14=65', '73-31=42', '65-42=23']\nMoving to Node #0,0,1,0\nCurrent State: 76:[23], Operations: ['31-14=17', '73-17=56', '79-56=23']\nMoving to Node #0,0,0,0\nCurrent State: 76:[23], Operations: ['31-14=17', '79+17=96', '96-73=23']\nMoving to Node #0,1,2,0\nCurrent State: 76:[23], Operations: ['14+73=87', '87-31=56', '79-56=23']\nMoving to Node #0,3,2,0\nCurrent State: 76:[23], Operations: ['79-14=65', '31+65=96', '96-73=23']\nMoving to Node #0,1,1,0\nCurrent State: 76:[23], Operations: ['14+73=87', '31+79=110', '110-87=23']\nMoving to Node #0,1,0,0\nCurrent State: 76:[135], Operations: ['14+73=87', '79-31=48', '87+48=135']\nMoving to Node #0,0,1,0\nCurrent State: 76:[135], Operations: ['31-14=17', '73-17=56', '79+56=135']\nMoving to Node #0,1,2,0\nCurrent State: 76:[135], Operations: ['14+73=87', '87-31=56', '79+56=135']\nMoving to Node #0,0,3,0\nCurrent State: 76:[135], Operations: ['31-14=17', '79-17=62', '73+62=135']\nMoving to Node #0,0,2,0\nCurrent State: 76:[11], Operations: ['31-14=17', '73+17=90', '90-79=11']\nMoving to Node #0,0,3,0\nCurrent State: 76:[11], Operations: ['31-14=17', '79-17=62', '73-62=11']\nMoving to Node #0,0,0,0\nCurrent State: 76:[169], Operations: ['31-14=17', '79+17=96', '73+96=169']\nMoving to Node #0,3,0,0\nCurrent State: 76:[169], Operations: ['79-14=65', '31+73=104', '65+104=169']\nMoving to Node #0,0,2,0\nCurrent State: 76:[169], Operations: ['31-14=17', '73+17=90', '79+90=169']\nMoving to Node #0,3,2,0\nCurrent State: 76:[169], Operations: ['79-14=65', '31+65=96', '73+96=169']\nMoving to Node #0,2,2,0\nCurrent State: 76:[197], Operations: ['14+31=45', '79+45=124', '73+124=197']\nMoving to Node #0,2,3,0\nCurrent State: 76:[197], Operations: ['14+31=45', '73+45=118', '79+118=197']\nMoving to Node #0,1,1,0\nCurrent State: 76:[197], Operations: ['14+73=87', '31+79=110', '87+110=197']\nMoving to Node #0,1,3,0\nCurrent State: 76:[197], Operations: ['14+73=87', '31+87=118', '79+118=197']\nMoving to Node #0,2,1,0\nCurrent State: 76:[2212], Operations: ['14+31=45', '73-45=28', '79*28=2212']\nMoving to Node #0,2,0,0\nCurrent State: 76:[2482], Operations: ['14+31=45', '79-45=34', '73*34=2482']\nMoving to Node #0,3,3,0\nCurrent State: 76:[2482], Operations: ['79-14=65', '65-31=34', '73*34=2482']\nMoving to Node #0,3,1,0\nCurrent State: 76:[2730], Operations: ['79-14=65', '73-31=42', '65*42=2730']\nMoving to Node #0,1,0,0\nCurrent State: 76:[4176], Operations: ['14+73=87', '79-31=48', '87*48=4176']\nMoving to Node #0,1,2,0\nCurrent State: 76:[4424], Operations: ['14+73=87', '87-31=56', '79*56=4424']\nMoving to Node #0,0,1,0\nCurrent State: 76:[4424], Operations: ['31-14=17', '73-17=56', '79*56=4424']\nMoving to Node #0,0,3,0\nCurrent State: 76:[4526], Operations: ['31-14=17', '79-17=62', '73*62=4526']\nMoving to Node #0,3,0,0\nCurrent State: 76:[6760], Operations: ['79-14=65', '31+73=104', '65*104=6760']\nMoving to Node #0,0,0,0\nCurrent State: 76:[7008], Operations: ['31-14=17', '79+17=96', '73*96=7008']\nMoving to Node #0,3,2,0\nCurrent State: 76:[7008], Operations: ['79-14=65', '31+65=96', '73*96=7008']\nMoving to Node #0,0,2,0\nCurrent State: 76:[7110], Operations: ['31-14=17', '73+17=90', '79*90=7110']\nMoving to Node #0,2,2,0\nCurrent State: 76:[9052], Operations: ['14+31=45', '79+45=124', '73*124=9052']\nMoving to Node #0,2,3,0\nCurrent State: 76:[9322], Operations: ['14+31=45', '73+45=118', '79*118=9322']\nMoving to Node #0,1,3,0\nCurrent State: 76:[9322], Operations: ['14+73=87', '31+87=118', '79*118=9322']\nMoving to Node #0,1,1,0\nCurrent State: 76:[9570], Operations: ['14+73=87', '31+79=110', '87*110=9570']\nNo solution found.", "role": "assistant" } ]
[ 51, 36, 16, 3 ]
80
[ "51-36=15", "16*15=240", "240/3=80" ]
Current State: 80:[51, 36, 16, 3], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [16, 3, 15] Generated Node #0,0: 80:[16, 3, 15] Operation: 51-36=15 Moving to Node #0,0 Current State: 80:[16, 3, 15], Operations: ['51-36=15'] Exploring Operation: 15/3=5, Resulting Numbers: [16, 5] Generated Node #0,0,0: 80:[16, 5] Operation: 15/3=5 Moving to Node #0,0,0 Current State: 80:[16, 5], Operations: ['51-36=15', '15/3=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
0.996528
dfs
Current State: 80:[51, 36, 16, 3], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [16, 3, 15] Generated Node #2: [16, 3, 15] from Operation: 51-36=15 Current State: 80:[16, 3, 15], Operations: ['51-36=15'] Exploring Operation: 16*15=240, Resulting Numbers: [3, 240] Generated Node #3: [3, 240] from Operation: 16*15=240 Current State: 80:[3, 240], Operations: ['51-36=15', '16*15=240'] Exploring Operation: 240/3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
mult_heuristic
[ { "content": "Make 80 with the numbers [51, 36, 16, 3] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 80:[51, 36, 16, 3], Operations: []\nExploring Operation: 51-36=15, Resulting Numbers: [16, 3, 15]\nGenerated Node #0,0: 80:[16, 3, 15] Operation: 51-36=15\nMoving to Node #0,0\nCurrent State: 80:[16, 3, 15], Operations: ['51-36=15']\nExploring Operation: 15/3=5, Resulting Numbers: [16, 5]\nGenerated Node #0,0,0: 80:[16, 5] Operation: 15/3=5\nMoving to Node #0,0,0\nCurrent State: 80:[16, 5], Operations: ['51-36=15', '15/3=5']\nExploring Operation: 16*5=80, Resulting Numbers: [80]\n80,80 equal: Goal Reached\n", "role": "assistant" } ]
[ 29, 27, 72, 52 ]
69
[ "29+52=81", "81/27=3", "72-3=69" ]
Current State: 69:[29, 27, 72, 52], Operations: [] Exploring Operation: 52-27=25, Resulting Numbers: [29, 72, 25] Generated Node #0,0: 69:[29, 72, 25] Operation: 52-27=25 Exploring Operation: 72-52=20, Resulting Numbers: [29, 27, 20] Generated Node #0,1: 69:[29, 27, 20] Operation: 72-52=20 Exploring Operation: 52-29=23, Resulting Numbers: [27, 72, 23] Generated Node #0,2: 69:[27, 72, 23] Operation: 52-29=23 Moving to Node #0,2 Current State: 69:[27, 72, 23], Operations: ['52-29=23'] Exploring Operation: 27-23=4, Resulting Numbers: [72, 4] Generated Node #0,2,0: 69:[72, 4] Operation: 27-23=4 Exploring Operation: 72-27=45, Resulting Numbers: [23, 45] Generated Node #0,2,1: 69:[23, 45] Operation: 72-27=45 Exploring Operation: 27+23=50, Resulting Numbers: [72, 50] Generated Node #0,2,2: 69:[72, 50] Operation: 27+23=50 Moving to Node #0,0 Current State: 69:[29, 72, 25], Operations: ['52-27=25'] Exploring Operation: 29+25=54, Resulting Numbers: [72, 54] Generated Node #0,0,0: 69:[72, 54] Operation: 29+25=54 Exploring Operation: 72-29=43, Resulting Numbers: [25, 43] Generated Node #0,0,1: 69:[25, 43] Operation: 72-29=43 Exploring Operation: 29-25=4, Resulting Numbers: [72, 4] Generated Node #0,0,2: 69:[72, 4] Operation: 29-25=4 Moving to Node #0,1 Current State: 69:[29, 27, 20], Operations: ['72-52=20'] Exploring Operation: 27-20=7, Resulting Numbers: [29, 7] Generated Node #0,1,0: 69:[29, 7] Operation: 27-20=7 Exploring Operation: 29-27=2, Resulting Numbers: [20, 2] Generated Node #0,1,1: 69:[20, 2] Operation: 29-27=2 Exploring Operation: 29-20=9, Resulting Numbers: [27, 9] Generated Node #0,1,2: 69:[27, 9] Operation: 29-20=9 Moving to Node #0,2,0 Current State: 69:[72, 4], Operations: ['52-29=23', '27-23=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,69 unequal: No Solution Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,69 unequal: No Solution Exploring Operation: 72+4=76, Resulting Numbers: [76] 76,69 unequal: No Solution Moving to Node #0,1,1 Current State: 69:[20, 2], Operations: ['72-52=20', '29-27=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,69 unequal: No Solution Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,69 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,69 unequal: No Solution Moving to Node #0,0,2 Current State: 69:[72, 4], Operations: ['52-27=25', '29-25=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,69 unequal: No Solution Exploring Operation: 72+4=76, Resulting Numbers: [76] 76,69 unequal: No Solution Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,69 unequal: No Solution Moving to Node #0,2,0,0 Current State: 69:[68], Operations: ['52-29=23', '27-23=4', '72-4=68'] Moving to Node #0,0,2,0 Current State: 69:[68], Operations: ['52-27=25', '29-25=4', '72-4=68'] Moving to Node #0,1,1,0 Current State: 69:[22], Operations: ['72-52=20', '29-27=2', '20+2=22'] Moving to Node #0,0,2,0 Current State: 69:[18], Operations: ['52-27=25', '29-25=4', '72/4=18'] Moving to Node #0,2,0,0 Current State: 69:[18], Operations: ['52-29=23', '27-23=4', '72/4=18'] Moving to Node #0,1,1,0 Current State: 69:[18], Operations: ['72-52=20', '29-27=2', '20-2=18'] Moving to Node #0,0,2,0 Current State: 69:[76], Operations: ['52-27=25', '29-25=4', '72+4=76'] Moving to Node #0,1,1,0 Current State: 69:[10], Operations: ['72-52=20', '29-27=2', '20/2=10'] Moving to Node #0,2,0,0 Current State: 69:[76], Operations: ['52-29=23', '27-23=4', '72+4=76'] Moving to Node #0,1,2 Current State: 69:[27, 9], Operations: ['72-52=20', '29-20=9'] Exploring Operation: 27+9=36, Resulting Numbers: [36] 36,69 unequal: No Solution Exploring Operation: 27/9=3, Resulting Numbers: [3] 3,69 unequal: No Solution Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,69 unequal: No Solution Moving to Node #0,1,0 Current State: 69:[29, 7], Operations: ['72-52=20', '27-20=7'] Exploring Operation: 29+7=36, Resulting Numbers: [36] 36,69 unequal: No Solution Exploring Operation: 29*7=203, Resulting Numbers: [203] 203,69 unequal: No Solution Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,69 unequal: No Solution Moving to Node #0,0,0 Current State: 69:[72, 54], Operations: ['52-27=25', '29+25=54'] Exploring Operation: 72+54=126, Resulting Numbers: [126] 126,69 unequal: No Solution Exploring Operation: 72*54=3888, Resulting Numbers: [3888] 3888,69 unequal: No Solution Exploring Operation: 72-54=18, Resulting Numbers: [18] 18,69 unequal: No Solution Moving to Node #0,1,2,0 Current State: 69:[3], Operations: ['72-52=20', '29-20=9', '27/9=3'] Moving to Node #0,1,0,0 Current State: 69:[22], Operations: ['72-52=20', '27-20=7', '29-7=22'] Moving to Node #0,1,2,0 Current State: 69:[18], Operations: ['72-52=20', '29-20=9', '27-9=18'] Moving to Node #0,0,0,0 Current State: 69:[18], Operations: ['52-27=25', '29+25=54', '72-54=18'] Moving to Node #0,1,2,0 Current State: 69:[36], Operations: ['72-52=20', '29-20=9', '27+9=36'] Moving to Node #0,1,0,0 Current State: 69:[36], Operations: ['72-52=20', '27-20=7', '29+7=36'] Moving to Node #0,0,1 Current State: 69:[25, 43], Operations: ['52-27=25', '72-29=43'] Exploring Operation: 25+43=68, Resulting Numbers: [68] 68,69 unequal: No Solution Exploring Operation: 43-25=18, Resulting Numbers: [18] 18,69 unequal: No Solution Exploring Operation: 25*43=1075, Resulting Numbers: [1075] 1075,69 unequal: No Solution Moving to Node #0,2,2 Current State: 69:[72, 50], Operations: ['52-29=23', '27+23=50'] Exploring Operation: 72-50=22, Resulting Numbers: [22] 22,69 unequal: No Solution Exploring Operation: 72*50=3600, Resulting Numbers: [3600] 3600,69 unequal: No Solution Exploring Operation: 72+50=122, Resulting Numbers: [122] 122,69 unequal: No Solution Moving to Node #0,2,1 Current State: 69:[23, 45], Operations: ['52-29=23', '72-27=45'] Exploring Operation: 45-23=22, Resulting Numbers: [22] 22,69 unequal: No Solution Exploring Operation: 23+45=68, Resulting Numbers: [68] 68,69 unequal: No Solution Exploring Operation: 23*45=1035, Resulting Numbers: [1035] 1035,69 unequal: No Solution Moving to Node #0,0,1,0 Current State: 69:[68], Operations: ['52-27=25', '72-29=43', '25+43=68'] Moving to Node #0,2,2,0 Current State: 69:[22], Operations: ['52-29=23', '27+23=50', '72-50=22'] Moving to Node #0,2,1,0 Current State: 69:[22], Operations: ['52-29=23', '72-27=45', '45-23=22'] Moving to Node #0,2,1,0 Current State: 69:[68], Operations: ['52-29=23', '72-27=45', '23+45=68'] Moving to Node #0,0,1,0 Current State: 69:[18], Operations: ['52-27=25', '72-29=43', '43-25=18'] Moving to Node #0,2,2,0 Current State: 69:[122], Operations: ['52-29=23', '27+23=50', '72+50=122'] Moving to Node #0,0,0,0 Current State: 69:[126], Operations: ['52-27=25', '29+25=54', '72+54=126'] Moving to Node #0,1,0,0 Current State: 69:[203], Operations: ['72-52=20', '27-20=7', '29*7=203'] Moving to Node #0,2,1,0 Current State: 69:[1035], Operations: ['52-29=23', '72-27=45', '23*45=1035'] Moving to Node #0,0,1,0 Current State: 69:[1075], Operations: ['52-27=25', '72-29=43', '25*43=1075'] Moving to Node #0,2,2,0 Current State: 69:[3600], Operations: ['52-29=23', '27+23=50', '72*50=3600'] Moving to Node #0,0,0,0 Current State: 69:[3888], Operations: ['52-27=25', '29+25=54', '72*54=3888'] No solution found.
0
bfs_3
Current State: 69:[29, 27, 72, 52], Operations: [] Exploring Operation: 29+52=81, Resulting Numbers: [27, 72, 81] Generated Node #2: [27, 72, 81] from Operation: 29+52=81 Current State: 69:[27, 72, 81], Operations: ['29+52=81'] Exploring Operation: 81/27=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 81/27=3 Current State: 69:[72, 3], Operations: ['29+52=81', '81/27=3'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
mult_heuristic
[ { "content": "Make 69 with the numbers [29, 27, 72, 52] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 69:[29, 27, 72, 52], Operations: []\nExploring Operation: 52-27=25, Resulting Numbers: [29, 72, 25]\nGenerated Node #0,0: 69:[29, 72, 25] Operation: 52-27=25\nExploring Operation: 72-52=20, Resulting Numbers: [29, 27, 20]\nGenerated Node #0,1: 69:[29, 27, 20] Operation: 72-52=20\nExploring Operation: 52-29=23, Resulting Numbers: [27, 72, 23]\nGenerated Node #0,2: 69:[27, 72, 23] Operation: 52-29=23\nMoving to Node #0,2\nCurrent State: 69:[27, 72, 23], Operations: ['52-29=23']\nExploring Operation: 27-23=4, Resulting Numbers: [72, 4]\nGenerated Node #0,2,0: 69:[72, 4] Operation: 27-23=4\nExploring Operation: 72-27=45, Resulting Numbers: [23, 45]\nGenerated Node #0,2,1: 69:[23, 45] Operation: 72-27=45\nExploring Operation: 27+23=50, Resulting Numbers: [72, 50]\nGenerated Node #0,2,2: 69:[72, 50] Operation: 27+23=50\nMoving to Node #0,0\nCurrent State: 69:[29, 72, 25], Operations: ['52-27=25']\nExploring Operation: 29+25=54, Resulting Numbers: [72, 54]\nGenerated Node #0,0,0: 69:[72, 54] Operation: 29+25=54\nExploring Operation: 72-29=43, Resulting Numbers: [25, 43]\nGenerated Node #0,0,1: 69:[25, 43] Operation: 72-29=43\nExploring Operation: 29-25=4, Resulting Numbers: [72, 4]\nGenerated Node #0,0,2: 69:[72, 4] Operation: 29-25=4\nMoving to Node #0,1\nCurrent State: 69:[29, 27, 20], Operations: ['72-52=20']\nExploring Operation: 27-20=7, Resulting Numbers: [29, 7]\nGenerated Node #0,1,0: 69:[29, 7] Operation: 27-20=7\nExploring Operation: 29-27=2, Resulting Numbers: [20, 2]\nGenerated Node #0,1,1: 69:[20, 2] Operation: 29-27=2\nExploring Operation: 29-20=9, Resulting Numbers: [27, 9]\nGenerated Node #0,1,2: 69:[27, 9] Operation: 29-20=9\nMoving to Node #0,2,0\nCurrent State: 69:[72, 4], Operations: ['52-29=23', '27-23=4']\nExploring Operation: 72-4=68, Resulting Numbers: [68]\n68,69 unequal: No Solution\nExploring Operation: 72/4=18, Resulting Numbers: [18]\n18,69 unequal: No Solution\nExploring Operation: 72+4=76, Resulting Numbers: [76]\n76,69 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 69:[20, 2], Operations: ['72-52=20', '29-27=2']\nExploring Operation: 20/2=10, Resulting Numbers: [10]\n10,69 unequal: No Solution\nExploring Operation: 20+2=22, Resulting Numbers: [22]\n22,69 unequal: No Solution\nExploring Operation: 20-2=18, Resulting Numbers: [18]\n18,69 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 69:[72, 4], Operations: ['52-27=25', '29-25=4']\nExploring Operation: 72-4=68, Resulting Numbers: [68]\n68,69 unequal: No Solution\nExploring Operation: 72+4=76, Resulting Numbers: [76]\n76,69 unequal: No Solution\nExploring Operation: 72/4=18, Resulting Numbers: [18]\n18,69 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 69:[68], Operations: ['52-29=23', '27-23=4', '72-4=68']\nMoving to Node #0,0,2,0\nCurrent State: 69:[68], Operations: ['52-27=25', '29-25=4', '72-4=68']\nMoving to Node #0,1,1,0\nCurrent State: 69:[22], Operations: ['72-52=20', '29-27=2', '20+2=22']\nMoving to Node #0,0,2,0\nCurrent State: 69:[18], Operations: ['52-27=25', '29-25=4', '72/4=18']\nMoving to Node #0,2,0,0\nCurrent State: 69:[18], Operations: ['52-29=23', '27-23=4', '72/4=18']\nMoving to Node #0,1,1,0\nCurrent State: 69:[18], Operations: ['72-52=20', '29-27=2', '20-2=18']\nMoving to Node #0,0,2,0\nCurrent State: 69:[76], Operations: ['52-27=25', '29-25=4', '72+4=76']\nMoving to Node #0,1,1,0\nCurrent State: 69:[10], Operations: ['72-52=20', '29-27=2', '20/2=10']\nMoving to Node #0,2,0,0\nCurrent State: 69:[76], Operations: ['52-29=23', '27-23=4', '72+4=76']\nMoving to Node #0,1,2\nCurrent State: 69:[27, 9], Operations: ['72-52=20', '29-20=9']\nExploring Operation: 27+9=36, Resulting Numbers: [36]\n36,69 unequal: No Solution\nExploring Operation: 27/9=3, Resulting Numbers: [3]\n3,69 unequal: No Solution\nExploring Operation: 27-9=18, Resulting Numbers: [18]\n18,69 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 69:[29, 7], Operations: ['72-52=20', '27-20=7']\nExploring Operation: 29+7=36, Resulting Numbers: [36]\n36,69 unequal: No Solution\nExploring Operation: 29*7=203, Resulting Numbers: [203]\n203,69 unequal: No Solution\nExploring Operation: 29-7=22, Resulting Numbers: [22]\n22,69 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 69:[72, 54], Operations: ['52-27=25', '29+25=54']\nExploring Operation: 72+54=126, Resulting Numbers: [126]\n126,69 unequal: No Solution\nExploring Operation: 72*54=3888, Resulting Numbers: [3888]\n3888,69 unequal: No Solution\nExploring Operation: 72-54=18, Resulting Numbers: [18]\n18,69 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 69:[3], Operations: ['72-52=20', '29-20=9', '27/9=3']\nMoving to Node #0,1,0,0\nCurrent State: 69:[22], Operations: ['72-52=20', '27-20=7', '29-7=22']\nMoving to Node #0,1,2,0\nCurrent State: 69:[18], Operations: ['72-52=20', '29-20=9', '27-9=18']\nMoving to Node #0,0,0,0\nCurrent State: 69:[18], Operations: ['52-27=25', '29+25=54', '72-54=18']\nMoving to Node #0,1,2,0\nCurrent State: 69:[36], Operations: ['72-52=20', '29-20=9', '27+9=36']\nMoving to Node #0,1,0,0\nCurrent State: 69:[36], Operations: ['72-52=20', '27-20=7', '29+7=36']\nMoving to Node #0,0,1\nCurrent State: 69:[25, 43], Operations: ['52-27=25', '72-29=43']\nExploring Operation: 25+43=68, Resulting Numbers: [68]\n68,69 unequal: No Solution\nExploring Operation: 43-25=18, Resulting Numbers: [18]\n18,69 unequal: No Solution\nExploring Operation: 25*43=1075, Resulting Numbers: [1075]\n1075,69 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 69:[72, 50], Operations: ['52-29=23', '27+23=50']\nExploring Operation: 72-50=22, Resulting Numbers: [22]\n22,69 unequal: No Solution\nExploring Operation: 72*50=3600, Resulting Numbers: [3600]\n3600,69 unequal: No Solution\nExploring Operation: 72+50=122, Resulting Numbers: [122]\n122,69 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 69:[23, 45], Operations: ['52-29=23', '72-27=45']\nExploring Operation: 45-23=22, Resulting Numbers: [22]\n22,69 unequal: No Solution\nExploring Operation: 23+45=68, Resulting Numbers: [68]\n68,69 unequal: No Solution\nExploring Operation: 23*45=1035, Resulting Numbers: [1035]\n1035,69 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 69:[68], Operations: ['52-27=25', '72-29=43', '25+43=68']\nMoving to Node #0,2,2,0\nCurrent State: 69:[22], Operations: ['52-29=23', '27+23=50', '72-50=22']\nMoving to Node #0,2,1,0\nCurrent State: 69:[22], Operations: ['52-29=23', '72-27=45', '45-23=22']\nMoving to Node #0,2,1,0\nCurrent State: 69:[68], Operations: ['52-29=23', '72-27=45', '23+45=68']\nMoving to Node #0,0,1,0\nCurrent State: 69:[18], Operations: ['52-27=25', '72-29=43', '43-25=18']\nMoving to Node #0,2,2,0\nCurrent State: 69:[122], Operations: ['52-29=23', '27+23=50', '72+50=122']\nMoving to Node #0,0,0,0\nCurrent State: 69:[126], Operations: ['52-27=25', '29+25=54', '72+54=126']\nMoving to Node #0,1,0,0\nCurrent State: 69:[203], Operations: ['72-52=20', '27-20=7', '29*7=203']\nMoving to Node #0,2,1,0\nCurrent State: 69:[1035], Operations: ['52-29=23', '72-27=45', '23*45=1035']\nMoving to Node #0,0,1,0\nCurrent State: 69:[1075], Operations: ['52-27=25', '72-29=43', '25*43=1075']\nMoving to Node #0,2,2,0\nCurrent State: 69:[3600], Operations: ['52-29=23', '27+23=50', '72*50=3600']\nMoving to Node #0,0,0,0\nCurrent State: 69:[3888], Operations: ['52-27=25', '29+25=54', '72*54=3888']\nNo solution found.", "role": "assistant" } ]
[ 25, 6, 22, 47 ]
29
[ "25-22=3", "6*3=18", "47-18=29" ]
Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 6+22=28, Resulting Numbers: [25, 47, 28] Generated Node #0,0: 29:[25, 47, 28] Operation: 6+22=28 Moving to Node #0,0 Current State: 29:[25, 47, 28], Operations: ['6+22=28'] Exploring Operation: 47-25=22, Resulting Numbers: [28, 22] Generated Node #0,0,0: 29:[28, 22] Operation: 47-25=22 Moving to Node #0,0,0 Current State: 29:[28, 22], Operations: ['6+22=28', '47-25=22'] Exploring Operation: 28+22=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,0,0 Current State: 29:[28, 22], Operations: ['6+22=28', '47-25=22'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[25, 47, 28], Operations: ['6+22=28'] Exploring Operation: 47-28=19, Resulting Numbers: [25, 19] Generated Node #0,0,1: 29:[25, 19] Operation: 47-28=19 Moving to Node #0,0,1 Current State: 29:[25, 19], Operations: ['6+22=28', '47-28=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,0,1 Current State: 29:[25, 19], Operations: ['6+22=28', '47-28=19'] Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[25, 47, 28], Operations: ['6+22=28'] Exploring Operation: 25+28=53, Resulting Numbers: [47, 53] Generated Node #0,0,2: 29:[47, 53] Operation: 25+28=53 Moving to Node #0,0,2 Current State: 29:[47, 53], Operations: ['6+22=28', '25+28=53'] Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[25, 47, 28], Operations: ['6+22=28'] Exploring Operation: 25+47=72, Resulting Numbers: [28, 72] Generated Node #0,0,3: 29:[28, 72] Operation: 25+47=72 Moving to Node #0,0,3 Current State: 29:[28, 72], Operations: ['6+22=28', '25+47=72'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[25, 47, 28], Operations: ['6+22=28'] Exploring Operation: 28-25=3, Resulting Numbers: [47, 3] Generated Node #0,0,4: 29:[47, 3] Operation: 28-25=3 Moving to Node #0,0,4 Current State: 29:[47, 3], Operations: ['6+22=28', '28-25=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,0,4 Current State: 29:[47, 3], Operations: ['6+22=28', '28-25=3'] Exploring Operation: 47+3=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[25, 47, 28], Operations: ['6+22=28'] Exploring Operation: 47+28=75, Resulting Numbers: [25, 75] Generated Node #0,0,5: 29:[25, 75] Operation: 47+28=75 Moving to Node #0,0,5 Current State: 29:[25, 75], Operations: ['6+22=28', '47+28=75'] Exploring Operation: 75-25=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,0,5 Current State: 29:[25, 75], Operations: ['6+22=28', '47+28=75'] Exploring Operation: 75/25=3, Resulting Numbers: [3] 3,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 47-6=41, Resulting Numbers: [25, 22, 41] Generated Node #0,1: 29:[25, 22, 41] Operation: 47-6=41 Moving to Node #0,1 Current State: 29:[25, 22, 41], Operations: ['47-6=41'] Exploring Operation: 41-22=19, Resulting Numbers: [25, 19] Generated Node #0,1,0: 29:[25, 19] Operation: 41-22=19 Moving to Node #0,1,0 Current State: 29:[25, 19], Operations: ['47-6=41', '41-22=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,1,0 Current State: 29:[25, 19], Operations: ['47-6=41', '41-22=19'] Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,1 Current State: 29:[25, 22, 41], Operations: ['47-6=41'] Exploring Operation: 41-25=16, Resulting Numbers: [22, 16] Generated Node #0,1,1: 29:[22, 16] Operation: 41-25=16 Moving to Node #0,1,1 Current State: 29:[22, 16], Operations: ['47-6=41', '41-25=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[22, 16], Operations: ['47-6=41', '41-25=16'] Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,1 Current State: 29:[25, 22, 41], Operations: ['47-6=41'] Exploring Operation: 25+22=47, Resulting Numbers: [41, 47] Generated Node #0,1,2: 29:[41, 47] Operation: 25+22=47 Moving to Node #0,1,2 Current State: 29:[41, 47], Operations: ['47-6=41', '25+22=47'] Exploring Operation: 47-41=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,1 Current State: 29:[25, 22, 41], Operations: ['47-6=41'] Exploring Operation: 25-22=3, Resulting Numbers: [41, 3] Generated Node #0,1,3: 29:[41, 3] Operation: 25-22=3 Moving to Node #0,1,3 Current State: 29:[41, 3], Operations: ['47-6=41', '25-22=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,1,3 Current State: 29:[41, 3], Operations: ['47-6=41', '25-22=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,1 Current State: 29:[25, 22, 41], Operations: ['47-6=41'] Exploring Operation: 22+41=63, Resulting Numbers: [25, 63] Generated Node #0,1,4: 29:[25, 63] Operation: 22+41=63 Moving to Node #0,1,4 Current State: 29:[25, 63], Operations: ['47-6=41', '22+41=63'] Exploring Operation: 63-25=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,1 Current State: 29:[25, 22, 41], Operations: ['47-6=41'] Exploring Operation: 25+41=66, Resulting Numbers: [22, 66] Generated Node #0,1,5: 29:[22, 66] Operation: 25+41=66 Moving to Node #0,1,5 Current State: 29:[22, 66], Operations: ['47-6=41', '25+41=66'] Exploring Operation: 66-22=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,1,5 Current State: 29:[22, 66], Operations: ['47-6=41', '25+41=66'] Exploring Operation: 66/22=3, Resulting Numbers: [3] 3,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 25+6=31, Resulting Numbers: [22, 47, 31] Generated Node #0,2: 29:[22, 47, 31] Operation: 25+6=31 Moving to Node #0,2 Current State: 29:[22, 47, 31], Operations: ['25+6=31'] Exploring Operation: 47-22=25, Resulting Numbers: [31, 25] Generated Node #0,2,0: 29:[31, 25] Operation: 47-22=25 Moving to Node #0,2,0 Current State: 29:[31, 25], Operations: ['25+6=31', '47-22=25'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,2,0 Current State: 29:[31, 25], Operations: ['25+6=31', '47-22=25'] Exploring Operation: 31+25=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,2 Current State: 29:[22, 47, 31], Operations: ['25+6=31'] Exploring Operation: 47-31=16, Resulting Numbers: [22, 16] Generated Node #0,2,1: 29:[22, 16] Operation: 47-31=16 Moving to Node #0,2,1 Current State: 29:[22, 16], Operations: ['25+6=31', '47-31=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,2,1 Current State: 29:[22, 16], Operations: ['25+6=31', '47-31=16'] Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,2 Current State: 29:[22, 47, 31], Operations: ['25+6=31'] Exploring Operation: 31-22=9, Resulting Numbers: [47, 9] Generated Node #0,2,2: 29:[47, 9] Operation: 31-22=9 Moving to Node #0,2,2 Current State: 29:[47, 9], Operations: ['25+6=31', '31-22=9'] Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,2,2 Current State: 29:[47, 9], Operations: ['25+6=31', '31-22=9'] Exploring Operation: 47+9=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,2 Current State: 29:[22, 47, 31], Operations: ['25+6=31'] Exploring Operation: 22+47=69, Resulting Numbers: [31, 69] Generated Node #0,2,3: 29:[31, 69] Operation: 22+47=69 Moving to Node #0,2,3 Current State: 29:[31, 69], Operations: ['25+6=31', '22+47=69'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,2 Current State: 29:[22, 47, 31], Operations: ['25+6=31'] Exploring Operation: 22+31=53, Resulting Numbers: [47, 53] Generated Node #0,2,4: 29:[47, 53] Operation: 22+31=53 Moving to Node #0,2,4 Current State: 29:[47, 53], Operations: ['25+6=31', '22+31=53'] Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,2 Current State: 29:[22, 47, 31], Operations: ['25+6=31'] Exploring Operation: 47+31=78, Resulting Numbers: [22, 78] Generated Node #0,2,5: 29:[22, 78] Operation: 47+31=78 Moving to Node #0,2,5 Current State: 29:[22, 78], Operations: ['25+6=31', '47+31=78'] Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 47-22=25, Resulting Numbers: [25, 6, 25] Generated Node #0,3: 29:[25, 6, 25] Operation: 47-22=25 Moving to Node #0,3 Current State: 29:[25, 6, 25], Operations: ['47-22=25'] Exploring Operation: 25+6=31, Resulting Numbers: [25, 31] Generated Node #0,3,0: 29:[25, 31] Operation: 25+6=31 Moving to Node #0,3,0 Current State: 29:[25, 31], Operations: ['47-22=25', '25+6=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3,0 Current State: 29:[25, 31], Operations: ['47-22=25', '25+6=31'] Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,3 Current State: 29:[25, 6, 25], Operations: ['47-22=25'] Exploring Operation: 6+25=31, Resulting Numbers: [25, 31] Generated Node #0,3,1: 29:[25, 31] Operation: 6+25=31 Moving to Node #0,3,1 Current State: 29:[25, 31], Operations: ['47-22=25', '6+25=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3,1 Current State: 29:[25, 31], Operations: ['47-22=25', '6+25=31'] Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,3 Current State: 29:[25, 6, 25], Operations: ['47-22=25'] Exploring Operation: 25-6=19, Resulting Numbers: [25, 19] Generated Node #0,3,2: 29:[25, 19] Operation: 25-6=19 Moving to Node #0,3,2 Current State: 29:[25, 19], Operations: ['47-22=25', '25-6=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,3,2 Current State: 29:[25, 19], Operations: ['47-22=25', '25-6=19'] Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3 Current State: 29:[25, 6, 25], Operations: ['47-22=25'] Exploring Operation: 25-6=19, Resulting Numbers: [25, 19] Generated Node #0,3,3: 29:[25, 19] Operation: 25-6=19 Moving to Node #0,3,3 Current State: 29:[25, 19], Operations: ['47-22=25', '25-6=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,3,3 Current State: 29:[25, 19], Operations: ['47-22=25', '25-6=19'] Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3 Current State: 29:[25, 6, 25], Operations: ['47-22=25'] Exploring Operation: 25+25=50, Resulting Numbers: [6, 50] Generated Node #0,3,4: 29:[6, 50] Operation: 25+25=50 Moving to Node #0,3,4 Current State: 29:[6, 50], Operations: ['47-22=25', '25+25=50'] Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,3,4 Current State: 29:[6, 50], Operations: ['47-22=25', '25+25=50'] Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,3 Current State: 29:[25, 6, 25], Operations: ['47-22=25'] Exploring Operation: 25/25=1, Resulting Numbers: [6, 1] Generated Node #0,3,5: 29:[6, 1] Operation: 25/25=1 Moving to Node #0,3,5 Current State: 29:[6, 1], Operations: ['47-22=25', '25/25=1'] Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,29 unequal: No Solution Moving to Node #0,3,5 Current State: 29:[6, 1], Operations: ['47-22=25', '25/25=1'] Exploring Operation: 6*1=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3,5 Current State: 29:[6, 1], Operations: ['47-22=25', '25/25=1'] Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3,5 Current State: 29:[6, 1], Operations: ['47-22=25', '25/25=1'] Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,29 unequal: No Solution Moving to Node #0,3 Current State: 29:[25, 6, 25], Operations: ['47-22=25'] Exploring Operation: 25-25=0, Resulting Numbers: [6, 0] Generated Node #0,3,6: 29:[6, 0] Operation: 25-25=0 Moving to Node #0,3,6 Current State: 29:[6, 0], Operations: ['47-22=25', '25-25=0'] Exploring Operation: 6+0=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3,6 Current State: 29:[6, 0], Operations: ['47-22=25', '25-25=0'] Exploring Operation: 6-0=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,3,6 Current State: 29:[6, 0], Operations: ['47-22=25', '25-25=0'] Exploring Operation: 6*0=0, Resulting Numbers: [0] 0,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 25-6=19, Resulting Numbers: [22, 47, 19] Generated Node #0,4: 29:[22, 47, 19] Operation: 25-6=19 Moving to Node #0,4 Current State: 29:[22, 47, 19], Operations: ['25-6=19'] Exploring Operation: 47-19=28, Resulting Numbers: [22, 28] Generated Node #0,4,0: 29:[22, 28] Operation: 47-19=28 Moving to Node #0,4,0 Current State: 29:[22, 28], Operations: ['25-6=19', '47-19=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,4,0 Current State: 29:[22, 28], Operations: ['25-6=19', '47-19=28'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,4 Current State: 29:[22, 47, 19], Operations: ['25-6=19'] Exploring Operation: 47-22=25, Resulting Numbers: [19, 25] Generated Node #0,4,1: 29:[19, 25] Operation: 47-22=25 Moving to Node #0,4,1 Current State: 29:[19, 25], Operations: ['25-6=19', '47-22=25'] Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,4,1 Current State: 29:[19, 25], Operations: ['25-6=19', '47-22=25'] Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,4 Current State: 29:[22, 47, 19], Operations: ['25-6=19'] Exploring Operation: 22+19=41, Resulting Numbers: [47, 41] Generated Node #0,4,2: 29:[47, 41] Operation: 22+19=41 Moving to Node #0,4,2 Current State: 29:[47, 41], Operations: ['25-6=19', '22+19=41'] Exploring Operation: 47-41=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,4 Current State: 29:[22, 47, 19], Operations: ['25-6=19'] Exploring Operation: 22-19=3, Resulting Numbers: [47, 3] Generated Node #0,4,3: 29:[47, 3] Operation: 22-19=3 Moving to Node #0,4,3 Current State: 29:[47, 3], Operations: ['25-6=19', '22-19=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,4,3 Current State: 29:[47, 3], Operations: ['25-6=19', '22-19=3'] Exploring Operation: 47+3=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,4 Current State: 29:[22, 47, 19], Operations: ['25-6=19'] Exploring Operation: 47+19=66, Resulting Numbers: [22, 66] Generated Node #0,4,4: 29:[22, 66] Operation: 47+19=66 Moving to Node #0,4,4 Current State: 29:[22, 66], Operations: ['25-6=19', '47+19=66'] Exploring Operation: 66-22=44, Resulting Numbers: [44] 44,29 unequal: No Solution Moving to Node #0,4,4 Current State: 29:[22, 66], Operations: ['25-6=19', '47+19=66'] Exploring Operation: 66/22=3, Resulting Numbers: [3] 3,29 unequal: No Solution Moving to Node #0,4 Current State: 29:[22, 47, 19], Operations: ['25-6=19'] Exploring Operation: 22+47=69, Resulting Numbers: [19, 69] Generated Node #0,4,5: 29:[19, 69] Operation: 22+47=69 Moving to Node #0,4,5 Current State: 29:[19, 69], Operations: ['25-6=19', '22+47=69'] Exploring Operation: 69-19=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 22-6=16, Resulting Numbers: [25, 47, 16] Generated Node #0,5: 29:[25, 47, 16] Operation: 22-6=16 Moving to Node #0,5 Current State: 29:[25, 47, 16], Operations: ['22-6=16'] Exploring Operation: 47-16=31, Resulting Numbers: [25, 31] Generated Node #0,5,0: 29:[25, 31] Operation: 47-16=31 Moving to Node #0,5,0 Current State: 29:[25, 31], Operations: ['22-6=16', '47-16=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,5,0 Current State: 29:[25, 31], Operations: ['22-6=16', '47-16=31'] Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,5 Current State: 29:[25, 47, 16], Operations: ['22-6=16'] Exploring Operation: 47-25=22, Resulting Numbers: [16, 22] Generated Node #0,5,1: 29:[16, 22] Operation: 47-25=22 Moving to Node #0,5,1 Current State: 29:[16, 22], Operations: ['22-6=16', '47-25=22'] Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,5,1 Current State: 29:[16, 22], Operations: ['22-6=16', '47-25=22'] Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,5 Current State: 29:[25, 47, 16], Operations: ['22-6=16'] Exploring Operation: 25+16=41, Resulting Numbers: [47, 41] Generated Node #0,5,2: 29:[47, 41] Operation: 25+16=41 Moving to Node #0,5,2 Current State: 29:[47, 41], Operations: ['22-6=16', '25+16=41'] Exploring Operation: 47-41=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,5 Current State: 29:[25, 47, 16], Operations: ['22-6=16'] Exploring Operation: 25-16=9, Resulting Numbers: [47, 9] Generated Node #0,5,3: 29:[47, 9] Operation: 25-16=9 Moving to Node #0,5,3 Current State: 29:[47, 9], Operations: ['22-6=16', '25-16=9'] Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,5,3 Current State: 29:[47, 9], Operations: ['22-6=16', '25-16=9'] Exploring Operation: 47+9=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,5 Current State: 29:[25, 47, 16], Operations: ['22-6=16'] Exploring Operation: 47+16=63, Resulting Numbers: [25, 63] Generated Node #0,5,4: 29:[25, 63] Operation: 47+16=63 Moving to Node #0,5,4 Current State: 29:[25, 63], Operations: ['22-6=16', '47+16=63'] Exploring Operation: 63-25=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,5 Current State: 29:[25, 47, 16], Operations: ['22-6=16'] Exploring Operation: 25+47=72, Resulting Numbers: [16, 72] Generated Node #0,5,5: 29:[16, 72] Operation: 25+47=72 Moving to Node #0,5,5 Current State: 29:[16, 72], Operations: ['22-6=16', '25+47=72'] Exploring Operation: 72-16=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 6+47=53, Resulting Numbers: [25, 22, 53] Generated Node #0,6: 29:[25, 22, 53] Operation: 6+47=53 Moving to Node #0,6 Current State: 29:[25, 22, 53], Operations: ['6+47=53'] Exploring Operation: 53-22=31, Resulting Numbers: [25, 31] Generated Node #0,6,0: 29:[25, 31] Operation: 53-22=31 Moving to Node #0,6,0 Current State: 29:[25, 31], Operations: ['6+47=53', '53-22=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,6,0 Current State: 29:[25, 31], Operations: ['6+47=53', '53-22=31'] Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,6 Current State: 29:[25, 22, 53], Operations: ['6+47=53'] Exploring Operation: 53-25=28, Resulting Numbers: [22, 28] Generated Node #0,6,1: 29:[22, 28] Operation: 53-25=28 Moving to Node #0,6,1 Current State: 29:[22, 28], Operations: ['6+47=53', '53-25=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,6,1 Current State: 29:[22, 28], Operations: ['6+47=53', '53-25=28'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,6 Current State: 29:[25, 22, 53], Operations: ['6+47=53'] Exploring Operation: 25+22=47, Resulting Numbers: [53, 47] Generated Node #0,6,2: 29:[53, 47] Operation: 25+22=47 Moving to Node #0,6,2 Current State: 29:[53, 47], Operations: ['6+47=53', '25+22=47'] Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,6 Current State: 29:[25, 22, 53], Operations: ['6+47=53'] Exploring Operation: 25-22=3, Resulting Numbers: [53, 3] Generated Node #0,6,3: 29:[53, 3] Operation: 25-22=3 Moving to Node #0,6,3 Current State: 29:[53, 3], Operations: ['6+47=53', '25-22=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,6,3 Current State: 29:[53, 3], Operations: ['6+47=53', '25-22=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,6 Current State: 29:[25, 22, 53], Operations: ['6+47=53'] Exploring Operation: 22+53=75, Resulting Numbers: [25, 75] Generated Node #0,6,4: 29:[25, 75] Operation: 22+53=75 Moving to Node #0,6,4 Current State: 29:[25, 75], Operations: ['6+47=53', '22+53=75'] Exploring Operation: 75-25=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,6,4 Current State: 29:[25, 75], Operations: ['6+47=53', '22+53=75'] Exploring Operation: 75/25=3, Resulting Numbers: [3] 3,29 unequal: No Solution Moving to Node #0,6 Current State: 29:[25, 22, 53], Operations: ['6+47=53'] Exploring Operation: 25+53=78, Resulting Numbers: [22, 78] Generated Node #0,6,5: 29:[22, 78] Operation: 25+53=78 Moving to Node #0,6,5 Current State: 29:[22, 78], Operations: ['6+47=53', '25+53=78'] Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 47-25=22, Resulting Numbers: [6, 22, 22] Generated Node #0,7: 29:[6, 22, 22] Operation: 47-25=22 Moving to Node #0,7 Current State: 29:[6, 22, 22], Operations: ['47-25=22'] Exploring Operation: 6+22=28, Resulting Numbers: [22, 28] Generated Node #0,7,0: 29:[22, 28] Operation: 6+22=28 Moving to Node #0,7,0 Current State: 29:[22, 28], Operations: ['47-25=22', '6+22=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,7,0 Current State: 29:[22, 28], Operations: ['47-25=22', '6+22=28'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7 Current State: 29:[6, 22, 22], Operations: ['47-25=22'] Exploring Operation: 6+22=28, Resulting Numbers: [22, 28] Generated Node #0,7,1: 29:[22, 28] Operation: 6+22=28 Moving to Node #0,7,1 Current State: 29:[22, 28], Operations: ['47-25=22', '6+22=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,7,1 Current State: 29:[22, 28], Operations: ['47-25=22', '6+22=28'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7 Current State: 29:[6, 22, 22], Operations: ['47-25=22'] Exploring Operation: 22-6=16, Resulting Numbers: [22, 16] Generated Node #0,7,2: 29:[22, 16] Operation: 22-6=16 Moving to Node #0,7,2 Current State: 29:[22, 16], Operations: ['47-25=22', '22-6=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,7,2 Current State: 29:[22, 16], Operations: ['47-25=22', '22-6=16'] Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7 Current State: 29:[6, 22, 22], Operations: ['47-25=22'] Exploring Operation: 22-6=16, Resulting Numbers: [22, 16] Generated Node #0,7,3: 29:[22, 16] Operation: 22-6=16 Moving to Node #0,7,3 Current State: 29:[22, 16], Operations: ['47-25=22', '22-6=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,7,3 Current State: 29:[22, 16], Operations: ['47-25=22', '22-6=16'] Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7 Current State: 29:[6, 22, 22], Operations: ['47-25=22'] Exploring Operation: 22+22=44, Resulting Numbers: [6, 44] Generated Node #0,7,4: 29:[6, 44] Operation: 22+22=44 Moving to Node #0,7,4 Current State: 29:[6, 44], Operations: ['47-25=22', '22+22=44'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,29 unequal: No Solution Moving to Node #0,7,4 Current State: 29:[6, 44], Operations: ['47-25=22', '22+22=44'] Exploring Operation: 6+44=50, Resulting Numbers: [50] 50,29 unequal: No Solution Moving to Node #0,7 Current State: 29:[6, 22, 22], Operations: ['47-25=22'] Exploring Operation: 22/22=1, Resulting Numbers: [6, 1] Generated Node #0,7,5: 29:[6, 1] Operation: 22/22=1 Moving to Node #0,7,5 Current State: 29:[6, 1], Operations: ['47-25=22', '22/22=1'] Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,29 unequal: No Solution Moving to Node #0,7,5 Current State: 29:[6, 1], Operations: ['47-25=22', '22/22=1'] Exploring Operation: 6*1=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7,5 Current State: 29:[6, 1], Operations: ['47-25=22', '22/22=1'] Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7,5 Current State: 29:[6, 1], Operations: ['47-25=22', '22/22=1'] Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,29 unequal: No Solution Moving to Node #0,7 Current State: 29:[6, 22, 22], Operations: ['47-25=22'] Exploring Operation: 22-22=0, Resulting Numbers: [6, 0] Generated Node #0,7,6: 29:[6, 0] Operation: 22-22=0 Moving to Node #0,7,6 Current State: 29:[6, 0], Operations: ['47-25=22', '22-22=0'] Exploring Operation: 6+0=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7,6 Current State: 29:[6, 0], Operations: ['47-25=22', '22-22=0'] Exploring Operation: 6-0=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,7,6 Current State: 29:[6, 0], Operations: ['47-25=22', '22-22=0'] Exploring Operation: 6*0=0, Resulting Numbers: [0] 0,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 25+22=47, Resulting Numbers: [6, 47, 47] Generated Node #0,8: 29:[6, 47, 47] Operation: 25+22=47 Moving to Node #0,8 Current State: 29:[6, 47, 47], Operations: ['25+22=47'] Exploring Operation: 47-6=41, Resulting Numbers: [47, 41] Generated Node #0,8,0: 29:[47, 41] Operation: 47-6=41 Moving to Node #0,8,0 Current State: 29:[47, 41], Operations: ['25+22=47', '47-6=41'] Exploring Operation: 47-41=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8 Current State: 29:[6, 47, 47], Operations: ['25+22=47'] Exploring Operation: 47-6=41, Resulting Numbers: [47, 41] Generated Node #0,8,1: 29:[47, 41] Operation: 47-6=41 Moving to Node #0,8,1 Current State: 29:[47, 41], Operations: ['25+22=47', '47-6=41'] Exploring Operation: 47-41=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8 Current State: 29:[6, 47, 47], Operations: ['25+22=47'] Exploring Operation: 6+47=53, Resulting Numbers: [47, 53] Generated Node #0,8,2: 29:[47, 53] Operation: 6+47=53 Moving to Node #0,8,2 Current State: 29:[47, 53], Operations: ['25+22=47', '6+47=53'] Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8 Current State: 29:[6, 47, 47], Operations: ['25+22=47'] Exploring Operation: 6+47=53, Resulting Numbers: [47, 53] Generated Node #0,8,3: 29:[47, 53] Operation: 6+47=53 Moving to Node #0,8,3 Current State: 29:[47, 53], Operations: ['25+22=47', '6+47=53'] Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8 Current State: 29:[6, 47, 47], Operations: ['25+22=47'] Exploring Operation: 47/47=1, Resulting Numbers: [6, 1] Generated Node #0,8,4: 29:[6, 1] Operation: 47/47=1 Moving to Node #0,8,4 Current State: 29:[6, 1], Operations: ['25+22=47', '47/47=1'] Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,29 unequal: No Solution Moving to Node #0,8,4 Current State: 29:[6, 1], Operations: ['25+22=47', '47/47=1'] Exploring Operation: 6*1=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8,4 Current State: 29:[6, 1], Operations: ['25+22=47', '47/47=1'] Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8,4 Current State: 29:[6, 1], Operations: ['25+22=47', '47/47=1'] Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,29 unequal: No Solution Moving to Node #0,8 Current State: 29:[6, 47, 47], Operations: ['25+22=47'] Exploring Operation: 47-47=0, Resulting Numbers: [6, 0] Generated Node #0,8,5: 29:[6, 0] Operation: 47-47=0 Moving to Node #0,8,5 Current State: 29:[6, 0], Operations: ['25+22=47', '47-47=0'] Exploring Operation: 6+0=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8,5 Current State: 29:[6, 0], Operations: ['25+22=47', '47-47=0'] Exploring Operation: 6-0=6, Resulting Numbers: [6] 6,29 unequal: No Solution Moving to Node #0,8,5 Current State: 29:[6, 0], Operations: ['25+22=47', '47-47=0'] Exploring Operation: 6*0=0, Resulting Numbers: [0] 0,29 unequal: No Solution Moving to Node #0 Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [6, 47, 3] Generated Node #0,9: 29:[6, 47, 3] Operation: 25-22=3 Moving to Node #0,9 Current State: 29:[6, 47, 3], Operations: ['25-22=3'] Exploring Operation: 6*3=18, Resulting Numbers: [47, 18] Generated Node #0,9,0: 29:[47, 18] Operation: 6*3=18 Moving to Node #0,9,0 Current State: 29:[47, 18], Operations: ['25-22=3', '6*3=18'] Exploring Operation: 47-18=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
0.850694
dfs
Current State: 29:[25, 6, 22, 47], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [6, 47, 3] Generated Node #2: [6, 47, 3] from Operation: 25-22=3 Current State: 29:[6, 47, 3], Operations: ['25-22=3'] Exploring Operation: 6*3=18, Resulting Numbers: [47, 18] Generated Node #3: [47, 18] from Operation: 6*3=18 Current State: 29:[47, 18], Operations: ['25-22=3', '6*3=18'] Exploring Operation: 47-18=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
sum_heuristic
[ { "content": "Make 29 with the numbers [25, 6, 22, 47] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 6+22=28, Resulting Numbers: [25, 47, 28]\nGenerated Node #0,0: 29:[25, 47, 28] Operation: 6+22=28\nMoving to Node #0,0\nCurrent State: 29:[25, 47, 28], Operations: ['6+22=28']\nExploring Operation: 47-25=22, Resulting Numbers: [28, 22]\nGenerated Node #0,0,0: 29:[28, 22] Operation: 47-25=22\nMoving to Node #0,0,0\nCurrent State: 29:[28, 22], Operations: ['6+22=28', '47-25=22']\nExploring Operation: 28+22=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 29:[28, 22], Operations: ['6+22=28', '47-25=22']\nExploring Operation: 28-22=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[25, 47, 28], Operations: ['6+22=28']\nExploring Operation: 47-28=19, Resulting Numbers: [25, 19]\nGenerated Node #0,0,1: 29:[25, 19] Operation: 47-28=19\nMoving to Node #0,0,1\nCurrent State: 29:[25, 19], Operations: ['6+22=28', '47-28=19']\nExploring Operation: 25+19=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 29:[25, 19], Operations: ['6+22=28', '47-28=19']\nExploring Operation: 25-19=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[25, 47, 28], Operations: ['6+22=28']\nExploring Operation: 25+28=53, Resulting Numbers: [47, 53]\nGenerated Node #0,0,2: 29:[47, 53] Operation: 25+28=53\nMoving to Node #0,0,2\nCurrent State: 29:[47, 53], Operations: ['6+22=28', '25+28=53']\nExploring Operation: 53-47=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[25, 47, 28], Operations: ['6+22=28']\nExploring Operation: 25+47=72, Resulting Numbers: [28, 72]\nGenerated Node #0,0,3: 29:[28, 72] Operation: 25+47=72\nMoving to Node #0,0,3\nCurrent State: 29:[28, 72], Operations: ['6+22=28', '25+47=72']\nExploring Operation: 72-28=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[25, 47, 28], Operations: ['6+22=28']\nExploring Operation: 28-25=3, Resulting Numbers: [47, 3]\nGenerated Node #0,0,4: 29:[47, 3] Operation: 28-25=3\nMoving to Node #0,0,4\nCurrent State: 29:[47, 3], Operations: ['6+22=28', '28-25=3']\nExploring Operation: 47-3=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 29:[47, 3], Operations: ['6+22=28', '28-25=3']\nExploring Operation: 47+3=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[25, 47, 28], Operations: ['6+22=28']\nExploring Operation: 47+28=75, Resulting Numbers: [25, 75]\nGenerated Node #0,0,5: 29:[25, 75] Operation: 47+28=75\nMoving to Node #0,0,5\nCurrent State: 29:[25, 75], Operations: ['6+22=28', '47+28=75']\nExploring Operation: 75-25=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 29:[25, 75], Operations: ['6+22=28', '47+28=75']\nExploring Operation: 75/25=3, Resulting Numbers: [3]\n3,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 47-6=41, Resulting Numbers: [25, 22, 41]\nGenerated Node #0,1: 29:[25, 22, 41] Operation: 47-6=41\nMoving to Node #0,1\nCurrent State: 29:[25, 22, 41], Operations: ['47-6=41']\nExploring Operation: 41-22=19, Resulting Numbers: [25, 19]\nGenerated Node #0,1,0: 29:[25, 19] Operation: 41-22=19\nMoving to Node #0,1,0\nCurrent State: 29:[25, 19], Operations: ['47-6=41', '41-22=19']\nExploring Operation: 25+19=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 29:[25, 19], Operations: ['47-6=41', '41-22=19']\nExploring Operation: 25-19=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 29:[25, 22, 41], Operations: ['47-6=41']\nExploring Operation: 41-25=16, Resulting Numbers: [22, 16]\nGenerated Node #0,1,1: 29:[22, 16] Operation: 41-25=16\nMoving to Node #0,1,1\nCurrent State: 29:[22, 16], Operations: ['47-6=41', '41-25=16']\nExploring Operation: 22+16=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 29:[22, 16], Operations: ['47-6=41', '41-25=16']\nExploring Operation: 22-16=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 29:[25, 22, 41], Operations: ['47-6=41']\nExploring Operation: 25+22=47, Resulting Numbers: [41, 47]\nGenerated Node #0,1,2: 29:[41, 47] Operation: 25+22=47\nMoving to Node #0,1,2\nCurrent State: 29:[41, 47], Operations: ['47-6=41', '25+22=47']\nExploring Operation: 47-41=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 29:[25, 22, 41], Operations: ['47-6=41']\nExploring Operation: 25-22=3, Resulting Numbers: [41, 3]\nGenerated Node #0,1,3: 29:[41, 3] Operation: 25-22=3\nMoving to Node #0,1,3\nCurrent State: 29:[41, 3], Operations: ['47-6=41', '25-22=3']\nExploring Operation: 41-3=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 29:[41, 3], Operations: ['47-6=41', '25-22=3']\nExploring Operation: 41+3=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 29:[25, 22, 41], Operations: ['47-6=41']\nExploring Operation: 22+41=63, Resulting Numbers: [25, 63]\nGenerated Node #0,1,4: 29:[25, 63] Operation: 22+41=63\nMoving to Node #0,1,4\nCurrent State: 29:[25, 63], Operations: ['47-6=41', '22+41=63']\nExploring Operation: 63-25=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 29:[25, 22, 41], Operations: ['47-6=41']\nExploring Operation: 25+41=66, Resulting Numbers: [22, 66]\nGenerated Node #0,1,5: 29:[22, 66] Operation: 25+41=66\nMoving to Node #0,1,5\nCurrent State: 29:[22, 66], Operations: ['47-6=41', '25+41=66']\nExploring Operation: 66-22=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 29:[22, 66], Operations: ['47-6=41', '25+41=66']\nExploring Operation: 66/22=3, Resulting Numbers: [3]\n3,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 25+6=31, Resulting Numbers: [22, 47, 31]\nGenerated Node #0,2: 29:[22, 47, 31] Operation: 25+6=31\nMoving to Node #0,2\nCurrent State: 29:[22, 47, 31], Operations: ['25+6=31']\nExploring Operation: 47-22=25, Resulting Numbers: [31, 25]\nGenerated Node #0,2,0: 29:[31, 25] Operation: 47-22=25\nMoving to Node #0,2,0\nCurrent State: 29:[31, 25], Operations: ['25+6=31', '47-22=25']\nExploring Operation: 31-25=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 29:[31, 25], Operations: ['25+6=31', '47-22=25']\nExploring Operation: 31+25=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 29:[22, 47, 31], Operations: ['25+6=31']\nExploring Operation: 47-31=16, Resulting Numbers: [22, 16]\nGenerated Node #0,2,1: 29:[22, 16] Operation: 47-31=16\nMoving to Node #0,2,1\nCurrent State: 29:[22, 16], Operations: ['25+6=31', '47-31=16']\nExploring Operation: 22+16=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 29:[22, 16], Operations: ['25+6=31', '47-31=16']\nExploring Operation: 22-16=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 29:[22, 47, 31], Operations: ['25+6=31']\nExploring Operation: 31-22=9, Resulting Numbers: [47, 9]\nGenerated Node #0,2,2: 29:[47, 9] Operation: 31-22=9\nMoving to Node #0,2,2\nCurrent State: 29:[47, 9], Operations: ['25+6=31', '31-22=9']\nExploring Operation: 47-9=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 29:[47, 9], Operations: ['25+6=31', '31-22=9']\nExploring Operation: 47+9=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 29:[22, 47, 31], Operations: ['25+6=31']\nExploring Operation: 22+47=69, Resulting Numbers: [31, 69]\nGenerated Node #0,2,3: 29:[31, 69] Operation: 22+47=69\nMoving to Node #0,2,3\nCurrent State: 29:[31, 69], Operations: ['25+6=31', '22+47=69']\nExploring Operation: 69-31=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 29:[22, 47, 31], Operations: ['25+6=31']\nExploring Operation: 22+31=53, Resulting Numbers: [47, 53]\nGenerated Node #0,2,4: 29:[47, 53] Operation: 22+31=53\nMoving to Node #0,2,4\nCurrent State: 29:[47, 53], Operations: ['25+6=31', '22+31=53']\nExploring Operation: 53-47=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 29:[22, 47, 31], Operations: ['25+6=31']\nExploring Operation: 47+31=78, Resulting Numbers: [22, 78]\nGenerated Node #0,2,5: 29:[22, 78] Operation: 47+31=78\nMoving to Node #0,2,5\nCurrent State: 29:[22, 78], Operations: ['25+6=31', '47+31=78']\nExploring Operation: 78-22=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 47-22=25, Resulting Numbers: [25, 6, 25]\nGenerated Node #0,3: 29:[25, 6, 25] Operation: 47-22=25\nMoving to Node #0,3\nCurrent State: 29:[25, 6, 25], Operations: ['47-22=25']\nExploring Operation: 25+6=31, Resulting Numbers: [25, 31]\nGenerated Node #0,3,0: 29:[25, 31] Operation: 25+6=31\nMoving to Node #0,3,0\nCurrent State: 29:[25, 31], Operations: ['47-22=25', '25+6=31']\nExploring Operation: 31-25=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 29:[25, 31], Operations: ['47-22=25', '25+6=31']\nExploring Operation: 25+31=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 29:[25, 6, 25], Operations: ['47-22=25']\nExploring Operation: 6+25=31, Resulting Numbers: [25, 31]\nGenerated Node #0,3,1: 29:[25, 31] Operation: 6+25=31\nMoving to Node #0,3,1\nCurrent State: 29:[25, 31], Operations: ['47-22=25', '6+25=31']\nExploring Operation: 31-25=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 29:[25, 31], Operations: ['47-22=25', '6+25=31']\nExploring Operation: 25+31=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 29:[25, 6, 25], Operations: ['47-22=25']\nExploring Operation: 25-6=19, Resulting Numbers: [25, 19]\nGenerated Node #0,3,2: 29:[25, 19] Operation: 25-6=19\nMoving to Node #0,3,2\nCurrent State: 29:[25, 19], Operations: ['47-22=25', '25-6=19']\nExploring Operation: 25+19=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 29:[25, 19], Operations: ['47-22=25', '25-6=19']\nExploring Operation: 25-19=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 29:[25, 6, 25], Operations: ['47-22=25']\nExploring Operation: 25-6=19, Resulting Numbers: [25, 19]\nGenerated Node #0,3,3: 29:[25, 19] Operation: 25-6=19\nMoving to Node #0,3,3\nCurrent State: 29:[25, 19], Operations: ['47-22=25', '25-6=19']\nExploring Operation: 25+19=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 29:[25, 19], Operations: ['47-22=25', '25-6=19']\nExploring Operation: 25-19=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 29:[25, 6, 25], Operations: ['47-22=25']\nExploring Operation: 25+25=50, Resulting Numbers: [6, 50]\nGenerated Node #0,3,4: 29:[6, 50] Operation: 25+25=50\nMoving to Node #0,3,4\nCurrent State: 29:[6, 50], Operations: ['47-22=25', '25+25=50']\nExploring Operation: 50-6=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 29:[6, 50], Operations: ['47-22=25', '25+25=50']\nExploring Operation: 6+50=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 29:[25, 6, 25], Operations: ['47-22=25']\nExploring Operation: 25/25=1, Resulting Numbers: [6, 1]\nGenerated Node #0,3,5: 29:[6, 1] Operation: 25/25=1\nMoving to Node #0,3,5\nCurrent State: 29:[6, 1], Operations: ['47-22=25', '25/25=1']\nExploring Operation: 6+1=7, Resulting Numbers: [7]\n7,29 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 29:[6, 1], Operations: ['47-22=25', '25/25=1']\nExploring Operation: 6*1=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 29:[6, 1], Operations: ['47-22=25', '25/25=1']\nExploring Operation: 6/1=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 29:[6, 1], Operations: ['47-22=25', '25/25=1']\nExploring Operation: 6-1=5, Resulting Numbers: [5]\n5,29 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 29:[25, 6, 25], Operations: ['47-22=25']\nExploring Operation: 25-25=0, Resulting Numbers: [6, 0]\nGenerated Node #0,3,6: 29:[6, 0] Operation: 25-25=0\nMoving to Node #0,3,6\nCurrent State: 29:[6, 0], Operations: ['47-22=25', '25-25=0']\nExploring Operation: 6+0=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3,6\nCurrent State: 29:[6, 0], Operations: ['47-22=25', '25-25=0']\nExploring Operation: 6-0=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,3,6\nCurrent State: 29:[6, 0], Operations: ['47-22=25', '25-25=0']\nExploring Operation: 6*0=0, Resulting Numbers: [0]\n0,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 25-6=19, Resulting Numbers: [22, 47, 19]\nGenerated Node #0,4: 29:[22, 47, 19] Operation: 25-6=19\nMoving to Node #0,4\nCurrent State: 29:[22, 47, 19], Operations: ['25-6=19']\nExploring Operation: 47-19=28, Resulting Numbers: [22, 28]\nGenerated Node #0,4,0: 29:[22, 28] Operation: 47-19=28\nMoving to Node #0,4,0\nCurrent State: 29:[22, 28], Operations: ['25-6=19', '47-19=28']\nExploring Operation: 22+28=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 29:[22, 28], Operations: ['25-6=19', '47-19=28']\nExploring Operation: 28-22=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 29:[22, 47, 19], Operations: ['25-6=19']\nExploring Operation: 47-22=25, Resulting Numbers: [19, 25]\nGenerated Node #0,4,1: 29:[19, 25] Operation: 47-22=25\nMoving to Node #0,4,1\nCurrent State: 29:[19, 25], Operations: ['25-6=19', '47-22=25']\nExploring Operation: 19+25=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 29:[19, 25], Operations: ['25-6=19', '47-22=25']\nExploring Operation: 25-19=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 29:[22, 47, 19], Operations: ['25-6=19']\nExploring Operation: 22+19=41, Resulting Numbers: [47, 41]\nGenerated Node #0,4,2: 29:[47, 41] Operation: 22+19=41\nMoving to Node #0,4,2\nCurrent State: 29:[47, 41], Operations: ['25-6=19', '22+19=41']\nExploring Operation: 47-41=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 29:[22, 47, 19], Operations: ['25-6=19']\nExploring Operation: 22-19=3, Resulting Numbers: [47, 3]\nGenerated Node #0,4,3: 29:[47, 3] Operation: 22-19=3\nMoving to Node #0,4,3\nCurrent State: 29:[47, 3], Operations: ['25-6=19', '22-19=3']\nExploring Operation: 47-3=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 29:[47, 3], Operations: ['25-6=19', '22-19=3']\nExploring Operation: 47+3=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 29:[22, 47, 19], Operations: ['25-6=19']\nExploring Operation: 47+19=66, Resulting Numbers: [22, 66]\nGenerated Node #0,4,4: 29:[22, 66] Operation: 47+19=66\nMoving to Node #0,4,4\nCurrent State: 29:[22, 66], Operations: ['25-6=19', '47+19=66']\nExploring Operation: 66-22=44, Resulting Numbers: [44]\n44,29 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 29:[22, 66], Operations: ['25-6=19', '47+19=66']\nExploring Operation: 66/22=3, Resulting Numbers: [3]\n3,29 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 29:[22, 47, 19], Operations: ['25-6=19']\nExploring Operation: 22+47=69, Resulting Numbers: [19, 69]\nGenerated Node #0,4,5: 29:[19, 69] Operation: 22+47=69\nMoving to Node #0,4,5\nCurrent State: 29:[19, 69], Operations: ['25-6=19', '22+47=69']\nExploring Operation: 69-19=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 22-6=16, Resulting Numbers: [25, 47, 16]\nGenerated Node #0,5: 29:[25, 47, 16] Operation: 22-6=16\nMoving to Node #0,5\nCurrent State: 29:[25, 47, 16], Operations: ['22-6=16']\nExploring Operation: 47-16=31, Resulting Numbers: [25, 31]\nGenerated Node #0,5,0: 29:[25, 31] Operation: 47-16=31\nMoving to Node #0,5,0\nCurrent State: 29:[25, 31], Operations: ['22-6=16', '47-16=31']\nExploring Operation: 31-25=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 29:[25, 31], Operations: ['22-6=16', '47-16=31']\nExploring Operation: 25+31=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 29:[25, 47, 16], Operations: ['22-6=16']\nExploring Operation: 47-25=22, Resulting Numbers: [16, 22]\nGenerated Node #0,5,1: 29:[16, 22] Operation: 47-25=22\nMoving to Node #0,5,1\nCurrent State: 29:[16, 22], Operations: ['22-6=16', '47-25=22']\nExploring Operation: 16+22=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 29:[16, 22], Operations: ['22-6=16', '47-25=22']\nExploring Operation: 22-16=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 29:[25, 47, 16], Operations: ['22-6=16']\nExploring Operation: 25+16=41, Resulting Numbers: [47, 41]\nGenerated Node #0,5,2: 29:[47, 41] Operation: 25+16=41\nMoving to Node #0,5,2\nCurrent State: 29:[47, 41], Operations: ['22-6=16', '25+16=41']\nExploring Operation: 47-41=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 29:[25, 47, 16], Operations: ['22-6=16']\nExploring Operation: 25-16=9, Resulting Numbers: [47, 9]\nGenerated Node #0,5,3: 29:[47, 9] Operation: 25-16=9\nMoving to Node #0,5,3\nCurrent State: 29:[47, 9], Operations: ['22-6=16', '25-16=9']\nExploring Operation: 47-9=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 29:[47, 9], Operations: ['22-6=16', '25-16=9']\nExploring Operation: 47+9=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 29:[25, 47, 16], Operations: ['22-6=16']\nExploring Operation: 47+16=63, Resulting Numbers: [25, 63]\nGenerated Node #0,5,4: 29:[25, 63] Operation: 47+16=63\nMoving to Node #0,5,4\nCurrent State: 29:[25, 63], Operations: ['22-6=16', '47+16=63']\nExploring Operation: 63-25=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 29:[25, 47, 16], Operations: ['22-6=16']\nExploring Operation: 25+47=72, Resulting Numbers: [16, 72]\nGenerated Node #0,5,5: 29:[16, 72] Operation: 25+47=72\nMoving to Node #0,5,5\nCurrent State: 29:[16, 72], Operations: ['22-6=16', '25+47=72']\nExploring Operation: 72-16=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 6+47=53, Resulting Numbers: [25, 22, 53]\nGenerated Node #0,6: 29:[25, 22, 53] Operation: 6+47=53\nMoving to Node #0,6\nCurrent State: 29:[25, 22, 53], Operations: ['6+47=53']\nExploring Operation: 53-22=31, Resulting Numbers: [25, 31]\nGenerated Node #0,6,0: 29:[25, 31] Operation: 53-22=31\nMoving to Node #0,6,0\nCurrent State: 29:[25, 31], Operations: ['6+47=53', '53-22=31']\nExploring Operation: 31-25=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 29:[25, 31], Operations: ['6+47=53', '53-22=31']\nExploring Operation: 25+31=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 29:[25, 22, 53], Operations: ['6+47=53']\nExploring Operation: 53-25=28, Resulting Numbers: [22, 28]\nGenerated Node #0,6,1: 29:[22, 28] Operation: 53-25=28\nMoving to Node #0,6,1\nCurrent State: 29:[22, 28], Operations: ['6+47=53', '53-25=28']\nExploring Operation: 22+28=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 29:[22, 28], Operations: ['6+47=53', '53-25=28']\nExploring Operation: 28-22=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 29:[25, 22, 53], Operations: ['6+47=53']\nExploring Operation: 25+22=47, Resulting Numbers: [53, 47]\nGenerated Node #0,6,2: 29:[53, 47] Operation: 25+22=47\nMoving to Node #0,6,2\nCurrent State: 29:[53, 47], Operations: ['6+47=53', '25+22=47']\nExploring Operation: 53-47=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 29:[25, 22, 53], Operations: ['6+47=53']\nExploring Operation: 25-22=3, Resulting Numbers: [53, 3]\nGenerated Node #0,6,3: 29:[53, 3] Operation: 25-22=3\nMoving to Node #0,6,3\nCurrent State: 29:[53, 3], Operations: ['6+47=53', '25-22=3']\nExploring Operation: 53-3=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 29:[53, 3], Operations: ['6+47=53', '25-22=3']\nExploring Operation: 53+3=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 29:[25, 22, 53], Operations: ['6+47=53']\nExploring Operation: 22+53=75, Resulting Numbers: [25, 75]\nGenerated Node #0,6,4: 29:[25, 75] Operation: 22+53=75\nMoving to Node #0,6,4\nCurrent State: 29:[25, 75], Operations: ['6+47=53', '22+53=75']\nExploring Operation: 75-25=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 29:[25, 75], Operations: ['6+47=53', '22+53=75']\nExploring Operation: 75/25=3, Resulting Numbers: [3]\n3,29 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 29:[25, 22, 53], Operations: ['6+47=53']\nExploring Operation: 25+53=78, Resulting Numbers: [22, 78]\nGenerated Node #0,6,5: 29:[22, 78] Operation: 25+53=78\nMoving to Node #0,6,5\nCurrent State: 29:[22, 78], Operations: ['6+47=53', '25+53=78']\nExploring Operation: 78-22=56, Resulting Numbers: [56]\n56,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 47-25=22, Resulting Numbers: [6, 22, 22]\nGenerated Node #0,7: 29:[6, 22, 22] Operation: 47-25=22\nMoving to Node #0,7\nCurrent State: 29:[6, 22, 22], Operations: ['47-25=22']\nExploring Operation: 6+22=28, Resulting Numbers: [22, 28]\nGenerated Node #0,7,0: 29:[22, 28] Operation: 6+22=28\nMoving to Node #0,7,0\nCurrent State: 29:[22, 28], Operations: ['47-25=22', '6+22=28']\nExploring Operation: 22+28=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 29:[22, 28], Operations: ['47-25=22', '6+22=28']\nExploring Operation: 28-22=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 29:[6, 22, 22], Operations: ['47-25=22']\nExploring Operation: 6+22=28, Resulting Numbers: [22, 28]\nGenerated Node #0,7,1: 29:[22, 28] Operation: 6+22=28\nMoving to Node #0,7,1\nCurrent State: 29:[22, 28], Operations: ['47-25=22', '6+22=28']\nExploring Operation: 22+28=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 29:[22, 28], Operations: ['47-25=22', '6+22=28']\nExploring Operation: 28-22=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 29:[6, 22, 22], Operations: ['47-25=22']\nExploring Operation: 22-6=16, Resulting Numbers: [22, 16]\nGenerated Node #0,7,2: 29:[22, 16] Operation: 22-6=16\nMoving to Node #0,7,2\nCurrent State: 29:[22, 16], Operations: ['47-25=22', '22-6=16']\nExploring Operation: 22+16=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 29:[22, 16], Operations: ['47-25=22', '22-6=16']\nExploring Operation: 22-16=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 29:[6, 22, 22], Operations: ['47-25=22']\nExploring Operation: 22-6=16, Resulting Numbers: [22, 16]\nGenerated Node #0,7,3: 29:[22, 16] Operation: 22-6=16\nMoving to Node #0,7,3\nCurrent State: 29:[22, 16], Operations: ['47-25=22', '22-6=16']\nExploring Operation: 22+16=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 29:[22, 16], Operations: ['47-25=22', '22-6=16']\nExploring Operation: 22-16=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 29:[6, 22, 22], Operations: ['47-25=22']\nExploring Operation: 22+22=44, Resulting Numbers: [6, 44]\nGenerated Node #0,7,4: 29:[6, 44] Operation: 22+22=44\nMoving to Node #0,7,4\nCurrent State: 29:[6, 44], Operations: ['47-25=22', '22+22=44']\nExploring Operation: 44-6=38, Resulting Numbers: [38]\n38,29 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 29:[6, 44], Operations: ['47-25=22', '22+22=44']\nExploring Operation: 6+44=50, Resulting Numbers: [50]\n50,29 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 29:[6, 22, 22], Operations: ['47-25=22']\nExploring Operation: 22/22=1, Resulting Numbers: [6, 1]\nGenerated Node #0,7,5: 29:[6, 1] Operation: 22/22=1\nMoving to Node #0,7,5\nCurrent State: 29:[6, 1], Operations: ['47-25=22', '22/22=1']\nExploring Operation: 6+1=7, Resulting Numbers: [7]\n7,29 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 29:[6, 1], Operations: ['47-25=22', '22/22=1']\nExploring Operation: 6*1=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 29:[6, 1], Operations: ['47-25=22', '22/22=1']\nExploring Operation: 6/1=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 29:[6, 1], Operations: ['47-25=22', '22/22=1']\nExploring Operation: 6-1=5, Resulting Numbers: [5]\n5,29 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 29:[6, 22, 22], Operations: ['47-25=22']\nExploring Operation: 22-22=0, Resulting Numbers: [6, 0]\nGenerated Node #0,7,6: 29:[6, 0] Operation: 22-22=0\nMoving to Node #0,7,6\nCurrent State: 29:[6, 0], Operations: ['47-25=22', '22-22=0']\nExploring Operation: 6+0=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 29:[6, 0], Operations: ['47-25=22', '22-22=0']\nExploring Operation: 6-0=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 29:[6, 0], Operations: ['47-25=22', '22-22=0']\nExploring Operation: 6*0=0, Resulting Numbers: [0]\n0,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 25+22=47, Resulting Numbers: [6, 47, 47]\nGenerated Node #0,8: 29:[6, 47, 47] Operation: 25+22=47\nMoving to Node #0,8\nCurrent State: 29:[6, 47, 47], Operations: ['25+22=47']\nExploring Operation: 47-6=41, Resulting Numbers: [47, 41]\nGenerated Node #0,8,0: 29:[47, 41] Operation: 47-6=41\nMoving to Node #0,8,0\nCurrent State: 29:[47, 41], Operations: ['25+22=47', '47-6=41']\nExploring Operation: 47-41=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 29:[6, 47, 47], Operations: ['25+22=47']\nExploring Operation: 47-6=41, Resulting Numbers: [47, 41]\nGenerated Node #0,8,1: 29:[47, 41] Operation: 47-6=41\nMoving to Node #0,8,1\nCurrent State: 29:[47, 41], Operations: ['25+22=47', '47-6=41']\nExploring Operation: 47-41=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 29:[6, 47, 47], Operations: ['25+22=47']\nExploring Operation: 6+47=53, Resulting Numbers: [47, 53]\nGenerated Node #0,8,2: 29:[47, 53] Operation: 6+47=53\nMoving to Node #0,8,2\nCurrent State: 29:[47, 53], Operations: ['25+22=47', '6+47=53']\nExploring Operation: 53-47=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 29:[6, 47, 47], Operations: ['25+22=47']\nExploring Operation: 6+47=53, Resulting Numbers: [47, 53]\nGenerated Node #0,8,3: 29:[47, 53] Operation: 6+47=53\nMoving to Node #0,8,3\nCurrent State: 29:[47, 53], Operations: ['25+22=47', '6+47=53']\nExploring Operation: 53-47=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 29:[6, 47, 47], Operations: ['25+22=47']\nExploring Operation: 47/47=1, Resulting Numbers: [6, 1]\nGenerated Node #0,8,4: 29:[6, 1] Operation: 47/47=1\nMoving to Node #0,8,4\nCurrent State: 29:[6, 1], Operations: ['25+22=47', '47/47=1']\nExploring Operation: 6+1=7, Resulting Numbers: [7]\n7,29 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 29:[6, 1], Operations: ['25+22=47', '47/47=1']\nExploring Operation: 6*1=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 29:[6, 1], Operations: ['25+22=47', '47/47=1']\nExploring Operation: 6/1=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 29:[6, 1], Operations: ['25+22=47', '47/47=1']\nExploring Operation: 6-1=5, Resulting Numbers: [5]\n5,29 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 29:[6, 47, 47], Operations: ['25+22=47']\nExploring Operation: 47-47=0, Resulting Numbers: [6, 0]\nGenerated Node #0,8,5: 29:[6, 0] Operation: 47-47=0\nMoving to Node #0,8,5\nCurrent State: 29:[6, 0], Operations: ['25+22=47', '47-47=0']\nExploring Operation: 6+0=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 29:[6, 0], Operations: ['25+22=47', '47-47=0']\nExploring Operation: 6-0=6, Resulting Numbers: [6]\n6,29 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 29:[6, 0], Operations: ['25+22=47', '47-47=0']\nExploring Operation: 6*0=0, Resulting Numbers: [0]\n0,29 unequal: No Solution\nMoving to Node #0\nCurrent State: 29:[25, 6, 22, 47], Operations: []\nExploring Operation: 25-22=3, Resulting Numbers: [6, 47, 3]\nGenerated Node #0,9: 29:[6, 47, 3] Operation: 25-22=3\nMoving to Node #0,9\nCurrent State: 29:[6, 47, 3], Operations: ['25-22=3']\nExploring Operation: 6*3=18, Resulting Numbers: [47, 18]\nGenerated Node #0,9,0: 29:[47, 18] Operation: 6*3=18\nMoving to Node #0,9,0\nCurrent State: 29:[47, 18], Operations: ['25-22=3', '6*3=18']\nExploring Operation: 47-18=29, Resulting Numbers: [29]\n29,29 equal: Goal Reached\n", "role": "assistant" } ]
[ 11, 42, 92, 69 ]
45
[ "42*92=3864", "3864/69=56", "56-11=45" ]
Current State: 45:[11, 42, 92, 69], Operations: [] Exploring Operation: 92-69=23, Resulting Numbers: [11, 42, 23] Generated Node #0,0: 45:[11, 42, 23] Operation: 92-69=23 Exploring Operation: 92-42=50, Resulting Numbers: [11, 69, 50] Generated Node #0,1: 45:[11, 69, 50] Operation: 92-42=50 Exploring Operation: 69-42=27, Resulting Numbers: [11, 92, 27] Generated Node #0,2: 45:[11, 92, 27] Operation: 69-42=27 Exploring Operation: 92-11=81, Resulting Numbers: [42, 69, 81] Generated Node #0,3: 45:[42, 69, 81] Operation: 92-11=81 Exploring Operation: 69-11=58, Resulting Numbers: [42, 92, 58] Generated Node #0,4: 45:[42, 92, 58] Operation: 69-11=58 Moving to Node #0,0 Current State: 45:[11, 42, 23], Operations: ['92-69=23'] Exploring Operation: 11+42=53, Resulting Numbers: [23, 53] Generated Node #0,0,0: 45:[23, 53] Operation: 11+42=53 Exploring Operation: 42-11=31, Resulting Numbers: [23, 31] Generated Node #0,0,1: 45:[23, 31] Operation: 42-11=31 Exploring Operation: 42-23=19, Resulting Numbers: [11, 19] Generated Node #0,0,2: 45:[11, 19] Operation: 42-23=19 Exploring Operation: 11+23=34, Resulting Numbers: [42, 34] Generated Node #0,0,3: 45:[42, 34] Operation: 11+23=34 Exploring Operation: 23-11=12, Resulting Numbers: [42, 12] Generated Node #0,0,4: 45:[42, 12] Operation: 23-11=12 Moving to Node #0,1 Current State: 45:[11, 69, 50], Operations: ['92-42=50'] Exploring Operation: 69-50=19, Resulting Numbers: [11, 19] Generated Node #0,1,0: 45:[11, 19] Operation: 69-50=19 Exploring Operation: 69-11=58, Resulting Numbers: [50, 58] Generated Node #0,1,1: 45:[50, 58] Operation: 69-11=58 Exploring Operation: 50-11=39, Resulting Numbers: [69, 39] Generated Node #0,1,2: 45:[69, 39] Operation: 50-11=39 Exploring Operation: 11+69=80, Resulting Numbers: [50, 80] Generated Node #0,1,3: 45:[50, 80] Operation: 11+69=80 Exploring Operation: 11+50=61, Resulting Numbers: [69, 61] Generated Node #0,1,4: 45:[69, 61] Operation: 11+50=61 Moving to Node #0,2 Current State: 45:[11, 92, 27], Operations: ['69-42=27'] Exploring Operation: 27-11=16, Resulting Numbers: [92, 16] Generated Node #0,2,0: 45:[92, 16] Operation: 27-11=16 Exploring Operation: 92-11=81, Resulting Numbers: [27, 81] Generated Node #0,2,1: 45:[27, 81] Operation: 92-11=81 Exploring Operation: 92-27=65, Resulting Numbers: [11, 65] Generated Node #0,2,2: 45:[11, 65] Operation: 92-27=65 Exploring Operation: 11+92=103, Resulting Numbers: [27, 103] Generated Node #0,2,3: 45:[27, 103] Operation: 11+92=103 Exploring Operation: 11+27=38, Resulting Numbers: [92, 38] Generated Node #0,2,4: 45:[92, 38] Operation: 11+27=38 Moving to Node #0,3 Current State: 45:[42, 69, 81], Operations: ['92-11=81'] Exploring Operation: 42+69=111, Resulting Numbers: [81, 111] Generated Node #0,3,0: 45:[81, 111] Operation: 42+69=111 Exploring Operation: 81-69=12, Resulting Numbers: [42, 12] Generated Node #0,3,1: 45:[42, 12] Operation: 81-69=12 Exploring Operation: 42+81=123, Resulting Numbers: [69, 123] Generated Node #0,3,2: 45:[69, 123] Operation: 42+81=123 Exploring Operation: 81-42=39, Resulting Numbers: [69, 39] Generated Node #0,3,3: 45:[69, 39] Operation: 81-42=39 Exploring Operation: 69-42=27, Resulting Numbers: [81, 27] Generated Node #0,3,4: 45:[81, 27] Operation: 69-42=27 Moving to Node #0,4 Current State: 45:[42, 92, 58], Operations: ['69-11=58'] Exploring Operation: 58-42=16, Resulting Numbers: [92, 16] Generated Node #0,4,0: 45:[92, 16] Operation: 58-42=16 Exploring Operation: 42+92=134, Resulting Numbers: [58, 134] Generated Node #0,4,1: 45:[58, 134] Operation: 42+92=134 Exploring Operation: 92-42=50, Resulting Numbers: [58, 50] Generated Node #0,4,2: 45:[58, 50] Operation: 92-42=50 Exploring Operation: 92-58=34, Resulting Numbers: [42, 34] Generated Node #0,4,3: 45:[42, 34] Operation: 92-58=34 Exploring Operation: 42+58=100, Resulting Numbers: [92, 100] Generated Node #0,4,4: 45:[92, 100] Operation: 42+58=100 Moving to Node #0,0,2 Current State: 45:[11, 19], Operations: ['92-69=23', '42-23=19'] Exploring Operation: 11*19=209, Resulting Numbers: [209] 209,45 unequal: No Solution Exploring Operation: 11+19=30, Resulting Numbers: [30] 30,45 unequal: No Solution Exploring Operation: 19-11=8, Resulting Numbers: [8] 8,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[11, 19], Operations: ['92-42=50', '69-50=19'] Exploring Operation: 11*19=209, Resulting Numbers: [209] 209,45 unequal: No Solution Exploring Operation: 11+19=30, Resulting Numbers: [30] 30,45 unequal: No Solution Exploring Operation: 19-11=8, Resulting Numbers: [8] 8,45 unequal: No Solution Moving to Node #0,0,4 Current State: 45:[42, 12], Operations: ['92-69=23', '23-11=12'] Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,45 unequal: No Solution Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 42*12=504, Resulting Numbers: [504] 504,45 unequal: No Solution Moving to Node #0,3,1 Current State: 45:[42, 12], Operations: ['92-11=81', '81-69=12'] Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 42*12=504, Resulting Numbers: [504] 504,45 unequal: No Solution Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,45 unequal: No Solution Moving to Node #0,0,3 Current State: 45:[42, 34], Operations: ['92-69=23', '11+23=34'] Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,45 unequal: No Solution Exploring Operation: 42-34=8, Resulting Numbers: [8] 8,45 unequal: No Solution Exploring Operation: 42*34=1428, Resulting Numbers: [1428] 1428,45 unequal: No Solution Moving to Node #0,0,2,0 Current State: 45:[8], Operations: ['92-69=23', '42-23=19', '19-11=8'] Moving to Node #0,1,0,0 Current State: 45:[8], Operations: ['92-42=50', '69-50=19', '19-11=8'] Moving to Node #0,0,3,0 Current State: 45:[8], Operations: ['92-69=23', '11+23=34', '42-34=8'] Moving to Node #0,3,1,0 Current State: 45:[54], Operations: ['92-11=81', '81-69=12', '42+12=54'] Moving to Node #0,0,4,0 Current State: 45:[54], Operations: ['92-69=23', '23-11=12', '42+12=54'] Moving to Node #0,4,3 Current State: 45:[42, 34], Operations: ['69-11=58', '92-58=34'] Exploring Operation: 42*34=1428, Resulting Numbers: [1428] 1428,45 unequal: No Solution Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,45 unequal: No Solution Exploring Operation: 42-34=8, Resulting Numbers: [8] 8,45 unequal: No Solution Moving to Node #0,0,4,0 Current State: 45:[30], Operations: ['92-69=23', '23-11=12', '42-12=30'] Moving to Node #0,3,1,0 Current State: 45:[30], Operations: ['92-11=81', '81-69=12', '42-12=30'] Moving to Node #0,1,0,0 Current State: 45:[30], Operations: ['92-42=50', '69-50=19', '11+19=30'] Moving to Node #0,0,2,0 Current State: 45:[30], Operations: ['92-69=23', '42-23=19', '11+19=30'] Moving to Node #0,4,3,0 Current State: 45:[8], Operations: ['69-11=58', '92-58=34', '42-34=8'] Moving to Node #0,0,0 Current State: 45:[23, 53], Operations: ['92-69=23', '11+42=53'] Exploring Operation: 23+53=76, Resulting Numbers: [76] 76,45 unequal: No Solution Exploring Operation: 23*53=1219, Resulting Numbers: [1219] 1219,45 unequal: No Solution Exploring Operation: 53-23=30, Resulting Numbers: [30] 30,45 unequal: No Solution Moving to Node #0,1,1 Current State: 45:[50, 58], Operations: ['92-42=50', '69-11=58'] Exploring Operation: 50+58=108, Resulting Numbers: [108] 108,45 unequal: No Solution Exploring Operation: 50*58=2900, Resulting Numbers: [2900] 2900,45 unequal: No Solution Exploring Operation: 58-50=8, Resulting Numbers: [8] 8,45 unequal: No Solution Moving to Node #0,4,2 Current State: 45:[58, 50], Operations: ['69-11=58', '92-42=50'] Exploring Operation: 58+50=108, Resulting Numbers: [108] 108,45 unequal: No Solution Exploring Operation: 58-50=8, Resulting Numbers: [8] 8,45 unequal: No Solution Exploring Operation: 58*50=2900, Resulting Numbers: [2900] 2900,45 unequal: No Solution Moving to Node #0,2,2 Current State: 45:[11, 65], Operations: ['69-42=27', '92-27=65'] Exploring Operation: 11*65=715, Resulting Numbers: [715] 715,45 unequal: No Solution Exploring Operation: 11+65=76, Resulting Numbers: [76] 76,45 unequal: No Solution Exploring Operation: 65-11=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,1,1,0 Current State: 45:[8], Operations: ['92-42=50', '69-11=58', '58-50=8'] Moving to Node #0,4,2,0 Current State: 45:[8], Operations: ['69-11=58', '92-42=50', '58-50=8'] Moving to Node #0,2,2,0 Current State: 45:[54], Operations: ['69-42=27', '92-27=65', '65-11=54'] Moving to Node #0,0,0,0 Current State: 45:[30], Operations: ['92-69=23', '11+42=53', '53-23=30'] Moving to Node #0,0,1 Current State: 45:[23, 31], Operations: ['92-69=23', '42-11=31'] Exploring Operation: 23*31=713, Resulting Numbers: [713] 713,45 unequal: No Solution Exploring Operation: 23+31=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 31-23=8, Resulting Numbers: [8] 8,45 unequal: No Solution Moving to Node #0,0,1,0 Current State: 45:[8], Operations: ['92-69=23', '42-11=31', '31-23=8'] Moving to Node #0,0,1,0 Current State: 45:[54], Operations: ['92-69=23', '42-11=31', '23+31=54'] Moving to Node #0,3,3 Current State: 45:[69, 39], Operations: ['92-11=81', '81-42=39'] Exploring Operation: 69-39=30, Resulting Numbers: [30] 30,45 unequal: No Solution Exploring Operation: 69*39=2691, Resulting Numbers: [2691] 2691,45 unequal: No Solution Exploring Operation: 69+39=108, Resulting Numbers: [108] 108,45 unequal: No Solution Moving to Node #0,1,2 Current State: 45:[69, 39], Operations: ['92-42=50', '50-11=39'] Exploring Operation: 69-39=30, Resulting Numbers: [30] 30,45 unequal: No Solution Exploring Operation: 69+39=108, Resulting Numbers: [108] 108,45 unequal: No Solution Exploring Operation: 69*39=2691, Resulting Numbers: [2691] 2691,45 unequal: No Solution Moving to Node #0,4,3,0 Current State: 45:[76], Operations: ['69-11=58', '92-58=34', '42+34=76'] Moving to Node #0,3,3,0 Current State: 45:[30], Operations: ['92-11=81', '81-42=39', '69-39=30'] Moving to Node #0,1,2,0 Current State: 45:[30], Operations: ['92-42=50', '50-11=39', '69-39=30'] Moving to Node #0,0,0,0 Current State: 45:[76], Operations: ['92-69=23', '11+42=53', '23+53=76'] Moving to Node #0,2,2,0 Current State: 45:[76], Operations: ['69-42=27', '92-27=65', '11+65=76'] Moving to Node #0,0,3,0 Current State: 45:[76], Operations: ['92-69=23', '11+23=34', '42+34=76'] Moving to Node #0,1,4 Current State: 45:[69, 61], Operations: ['92-42=50', '11+50=61'] Exploring Operation: 69+61=130, Resulting Numbers: [130] 130,45 unequal: No Solution Exploring Operation: 69*61=4209, Resulting Numbers: [4209] 4209,45 unequal: No Solution Exploring Operation: 69-61=8, Resulting Numbers: [8] 8,45 unequal: No Solution Moving to Node #0,1,3 Current State: 45:[50, 80], Operations: ['92-42=50', '11+69=80'] Exploring Operation: 50*80=4000, Resulting Numbers: [4000] 4000,45 unequal: No Solution Exploring Operation: 50+80=130, Resulting Numbers: [130] 130,45 unequal: No Solution Exploring Operation: 80-50=30, Resulting Numbers: [30] 30,45 unequal: No Solution Moving to Node #0,4,0 Current State: 45:[92, 16], Operations: ['69-11=58', '58-42=16'] Exploring Operation: 92*16=1472, Resulting Numbers: [1472] 1472,45 unequal: No Solution Exploring Operation: 92+16=108, Resulting Numbers: [108] 108,45 unequal: No Solution Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[27, 81], Operations: ['69-42=27', '92-11=81'] Exploring Operation: 81/27=3, Resulting Numbers: [3] 3,45 unequal: No Solution Exploring Operation: 27+81=108, Resulting Numbers: [108] 108,45 unequal: No Solution Exploring Operation: 27*81=2187, Resulting Numbers: [2187] 2187,45 unequal: No Solution Exploring Operation: 81-27=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,2,0 Current State: 45:[92, 16], Operations: ['69-42=27', '27-11=16'] Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,45 unequal: No Solution Exploring Operation: 92+16=108, Resulting Numbers: [108] 108,45 unequal: No Solution Exploring Operation: 92*16=1472, Resulting Numbers: [1472] 1472,45 unequal: No Solution Moving to Node #0,2,1,0 Current State: 45:[3], Operations: ['69-42=27', '92-11=81', '81/27=3'] Moving to Node #0,1,4,0 Current State: 45:[8], Operations: ['92-42=50', '11+50=61', '69-61=8'] Moving to Node #0,2,1,0 Current State: 45:[54], Operations: ['69-42=27', '92-11=81', '81-27=54'] Moving to Node #0,1,3,0 Current State: 45:[30], Operations: ['92-42=50', '11+69=80', '80-50=30'] Moving to Node #0,4,0,0 Current State: 45:[76], Operations: ['69-11=58', '58-42=16', '92-16=76'] Moving to Node #0,2,0,0 Current State: 45:[76], Operations: ['69-42=27', '27-11=16', '92-16=76'] Moving to Node #0,3,4 Current State: 45:[81, 27], Operations: ['92-11=81', '69-42=27'] Exploring Operation: 81*27=2187, Resulting Numbers: [2187] 2187,45 unequal: No Solution Exploring Operation: 81/27=3, Resulting Numbers: [3] 3,45 unequal: No Solution Exploring Operation: 81-27=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 81+27=108, Resulting Numbers: [108] 108,45 unequal: No Solution Moving to Node #0,2,4 Current State: 45:[92, 38], Operations: ['69-42=27', '11+27=38'] Exploring Operation: 92+38=130, Resulting Numbers: [130] 130,45 unequal: No Solution Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 92*38=3496, Resulting Numbers: [3496] 3496,45 unequal: No Solution Moving to Node #0,4,2,0 Current State: 45:[108], Operations: ['69-11=58', '92-42=50', '58+50=108'] Moving to Node #0,1,1,0 Current State: 45:[108], Operations: ['92-42=50', '69-11=58', '50+58=108'] Moving to Node #0,3,4,0 Current State: 45:[3], Operations: ['92-11=81', '69-42=27', '81/27=3'] Moving to Node #0,3,4,0 Current State: 45:[54], Operations: ['92-11=81', '69-42=27', '81-27=54'] Moving to Node #0,2,4,0 Current State: 45:[54], Operations: ['69-42=27', '11+27=38', '92-38=54'] Moving to Node #0,3,3,0 Current State: 45:[108], Operations: ['92-11=81', '81-42=39', '69+39=108'] Moving to Node #0,2,1,0 Current State: 45:[108], Operations: ['69-42=27', '92-11=81', '27+81=108'] Moving to Node #0,2,0,0 Current State: 45:[108], Operations: ['69-42=27', '27-11=16', '92+16=108'] Moving to Node #0,4,0,0 Current State: 45:[108], Operations: ['69-11=58', '58-42=16', '92+16=108'] Moving to Node #0,1,2,0 Current State: 45:[108], Operations: ['92-42=50', '50-11=39', '69+39=108'] Moving to Node #0,3,4,0 Current State: 45:[108], Operations: ['92-11=81', '69-42=27', '81+27=108'] Moving to Node #0,2,3 Current State: 45:[27, 103], Operations: ['69-42=27', '11+92=103'] Exploring Operation: 27*103=2781, Resulting Numbers: [2781] 2781,45 unequal: No Solution Exploring Operation: 27+103=130, Resulting Numbers: [130] 130,45 unequal: No Solution Exploring Operation: 103-27=76, Resulting Numbers: [76] 76,45 unequal: No Solution Moving to Node #0,2,3,0 Current State: 45:[76], Operations: ['69-42=27', '11+92=103', '103-27=76'] Moving to Node #0,1,3,0 Current State: 45:[130], Operations: ['92-42=50', '11+69=80', '50+80=130'] Moving to Node #0,1,4,0 Current State: 45:[130], Operations: ['92-42=50', '11+50=61', '69+61=130'] Moving to Node #0,2,3,0 Current State: 45:[130], Operations: ['69-42=27', '11+92=103', '27+103=130'] Moving to Node #0,2,4,0 Current State: 45:[130], Operations: ['69-42=27', '11+27=38', '92+38=130'] Moving to Node #0,4,4 Current State: 45:[92, 100], Operations: ['69-11=58', '42+58=100'] Exploring Operation: 92+100=192, Resulting Numbers: [192] 192,45 unequal: No Solution Exploring Operation: 100-92=8, Resulting Numbers: [8] 8,45 unequal: No Solution Exploring Operation: 92*100=9200, Resulting Numbers: [9200] 9200,45 unequal: No Solution Moving to Node #0,3,0 Current State: 45:[81, 111], Operations: ['92-11=81', '42+69=111'] Exploring Operation: 111-81=30, Resulting Numbers: [30] 30,45 unequal: No Solution Exploring Operation: 81+111=192, Resulting Numbers: [192] 192,45 unequal: No Solution Exploring Operation: 81*111=8991, Resulting Numbers: [8991] 8991,45 unequal: No Solution Moving to Node #0,4,1 Current State: 45:[58, 134], Operations: ['69-11=58', '42+92=134'] Exploring Operation: 58*134=7772, Resulting Numbers: [7772] 7772,45 unequal: No Solution Exploring Operation: 58+134=192, Resulting Numbers: [192] 192,45 unequal: No Solution Exploring Operation: 134-58=76, Resulting Numbers: [76] 76,45 unequal: No Solution Moving to Node #0,3,2 Current State: 45:[69, 123], Operations: ['92-11=81', '42+81=123'] Exploring Operation: 69*123=8487, Resulting Numbers: [8487] 8487,45 unequal: No Solution Exploring Operation: 69+123=192, Resulting Numbers: [192] 192,45 unequal: No Solution Exploring Operation: 123-69=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,0,2,0 Current State: 45:[209], Operations: ['92-69=23', '42-23=19', '11*19=209'] Moving to Node #0,4,4,0 Current State: 45:[8], Operations: ['69-11=58', '42+58=100', '100-92=8'] Moving to Node #0,3,2,0 Current State: 45:[54], Operations: ['92-11=81', '42+81=123', '123-69=54'] Moving to Node #0,3,0,0 Current State: 45:[30], Operations: ['92-11=81', '42+69=111', '111-81=30'] Moving to Node #0,4,1,0 Current State: 45:[76], Operations: ['69-11=58', '42+92=134', '134-58=76'] Moving to Node #0,4,1,0 Current State: 45:[192], Operations: ['69-11=58', '42+92=134', '58+134=192'] Moving to Node #0,3,2,0 Current State: 45:[192], Operations: ['92-11=81', '42+81=123', '69+123=192'] Moving to Node #0,3,0,0 Current State: 45:[192], Operations: ['92-11=81', '42+69=111', '81+111=192'] Moving to Node #0,4,4,0 Current State: 45:[192], Operations: ['69-11=58', '42+58=100', '92+100=192'] Moving to Node #0,1,0,0 Current State: 45:[209], Operations: ['92-42=50', '69-50=19', '11*19=209'] Moving to Node #0,0,4,0 Current State: 45:[504], Operations: ['92-69=23', '23-11=12', '42*12=504'] Moving to Node #0,3,1,0 Current State: 45:[504], Operations: ['92-11=81', '81-69=12', '42*12=504'] Moving to Node #0,0,1,0 Current State: 45:[713], Operations: ['92-69=23', '42-11=31', '23*31=713'] Moving to Node #0,2,2,0 Current State: 45:[715], Operations: ['69-42=27', '92-27=65', '11*65=715'] Moving to Node #0,0,0,0 Current State: 45:[1219], Operations: ['92-69=23', '11+42=53', '23*53=1219'] Moving to Node #0,0,3,0 Current State: 45:[1428], Operations: ['92-69=23', '11+23=34', '42*34=1428'] Moving to Node #0,4,3,0 Current State: 45:[1428], Operations: ['69-11=58', '92-58=34', '42*34=1428'] Moving to Node #0,4,0,0 Current State: 45:[1472], Operations: ['69-11=58', '58-42=16', '92*16=1472'] Moving to Node #0,2,0,0 Current State: 45:[1472], Operations: ['69-42=27', '27-11=16', '92*16=1472'] Moving to Node #0,2,1,0 Current State: 45:[2187], Operations: ['69-42=27', '92-11=81', '27*81=2187'] Moving to Node #0,3,4,0 Current State: 45:[2187], Operations: ['92-11=81', '69-42=27', '81*27=2187'] Moving to Node #0,1,2,0 Current State: 45:[2691], Operations: ['92-42=50', '50-11=39', '69*39=2691'] Moving to Node #0,3,3,0 Current State: 45:[2691], Operations: ['92-11=81', '81-42=39', '69*39=2691'] Moving to Node #0,2,3,0 Current State: 45:[2781], Operations: ['69-42=27', '11+92=103', '27*103=2781'] Moving to Node #0,1,1,0 Current State: 45:[2900], Operations: ['92-42=50', '69-11=58', '50*58=2900'] Moving to Node #0,4,2,0 Current State: 45:[2900], Operations: ['69-11=58', '92-42=50', '58*50=2900'] Moving to Node #0,2,4,0 Current State: 45:[3496], Operations: ['69-42=27', '11+27=38', '92*38=3496'] Moving to Node #0,1,3,0 Current State: 45:[4000], Operations: ['92-42=50', '11+69=80', '50*80=4000'] Moving to Node #0,1,4,0 Current State: 45:[4209], Operations: ['92-42=50', '11+50=61', '69*61=4209'] Moving to Node #0,4,1,0 Current State: 45:[7772], Operations: ['69-11=58', '42+92=134', '58*134=7772'] Moving to Node #0,3,2,0 Current State: 45:[8487], Operations: ['92-11=81', '42+81=123', '69*123=8487'] Moving to Node #0,3,0,0 Current State: 45:[8991], Operations: ['92-11=81', '42+69=111', '81*111=8991'] Moving to Node #0,4,4,0 Current State: 45:[9200], Operations: ['69-11=58', '42+58=100', '92*100=9200'] No solution found.
0
bfs_5
Current State: 45:[11, 42, 92, 69], Operations: [] Exploring Operation: 42*92=3864, Resulting Numbers: [11, 69, 3864] Generated Node #2: [11, 69, 3864] from Operation: 42*92=3864 Current State: 45:[11, 69, 3864], Operations: ['42*92=3864'] Exploring Operation: 3864/69=56, Resulting Numbers: [11, 56] Generated Node #3: [11, 56] from Operation: 3864/69=56 Current State: 45:[11, 56], Operations: ['42*92=3864', '3864/69=56'] Exploring Operation: 56-11=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
mult_heuristic
[ { "content": "Make 45 with the numbers [11, 42, 92, 69] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 45:[11, 42, 92, 69], Operations: []\nExploring Operation: 92-69=23, Resulting Numbers: [11, 42, 23]\nGenerated Node #0,0: 45:[11, 42, 23] Operation: 92-69=23\nExploring Operation: 92-42=50, Resulting Numbers: [11, 69, 50]\nGenerated Node #0,1: 45:[11, 69, 50] Operation: 92-42=50\nExploring Operation: 69-42=27, Resulting Numbers: [11, 92, 27]\nGenerated Node #0,2: 45:[11, 92, 27] Operation: 69-42=27\nExploring Operation: 92-11=81, Resulting Numbers: [42, 69, 81]\nGenerated Node #0,3: 45:[42, 69, 81] Operation: 92-11=81\nExploring Operation: 69-11=58, Resulting Numbers: [42, 92, 58]\nGenerated Node #0,4: 45:[42, 92, 58] Operation: 69-11=58\nMoving to Node #0,0\nCurrent State: 45:[11, 42, 23], Operations: ['92-69=23']\nExploring Operation: 11+42=53, Resulting Numbers: [23, 53]\nGenerated Node #0,0,0: 45:[23, 53] Operation: 11+42=53\nExploring Operation: 42-11=31, Resulting Numbers: [23, 31]\nGenerated Node #0,0,1: 45:[23, 31] Operation: 42-11=31\nExploring Operation: 42-23=19, Resulting Numbers: [11, 19]\nGenerated Node #0,0,2: 45:[11, 19] Operation: 42-23=19\nExploring Operation: 11+23=34, Resulting Numbers: [42, 34]\nGenerated Node #0,0,3: 45:[42, 34] Operation: 11+23=34\nExploring Operation: 23-11=12, Resulting Numbers: [42, 12]\nGenerated Node #0,0,4: 45:[42, 12] Operation: 23-11=12\nMoving to Node #0,1\nCurrent State: 45:[11, 69, 50], Operations: ['92-42=50']\nExploring Operation: 69-50=19, Resulting Numbers: [11, 19]\nGenerated Node #0,1,0: 45:[11, 19] Operation: 69-50=19\nExploring Operation: 69-11=58, Resulting Numbers: [50, 58]\nGenerated Node #0,1,1: 45:[50, 58] Operation: 69-11=58\nExploring Operation: 50-11=39, Resulting Numbers: [69, 39]\nGenerated Node #0,1,2: 45:[69, 39] Operation: 50-11=39\nExploring Operation: 11+69=80, Resulting Numbers: [50, 80]\nGenerated Node #0,1,3: 45:[50, 80] Operation: 11+69=80\nExploring Operation: 11+50=61, Resulting Numbers: [69, 61]\nGenerated Node #0,1,4: 45:[69, 61] Operation: 11+50=61\nMoving to Node #0,2\nCurrent State: 45:[11, 92, 27], Operations: ['69-42=27']\nExploring Operation: 27-11=16, Resulting Numbers: [92, 16]\nGenerated Node #0,2,0: 45:[92, 16] Operation: 27-11=16\nExploring Operation: 92-11=81, Resulting Numbers: [27, 81]\nGenerated Node #0,2,1: 45:[27, 81] Operation: 92-11=81\nExploring Operation: 92-27=65, Resulting Numbers: [11, 65]\nGenerated Node #0,2,2: 45:[11, 65] Operation: 92-27=65\nExploring Operation: 11+92=103, Resulting Numbers: [27, 103]\nGenerated Node #0,2,3: 45:[27, 103] Operation: 11+92=103\nExploring Operation: 11+27=38, Resulting Numbers: [92, 38]\nGenerated Node #0,2,4: 45:[92, 38] Operation: 11+27=38\nMoving to Node #0,3\nCurrent State: 45:[42, 69, 81], Operations: ['92-11=81']\nExploring Operation: 42+69=111, Resulting Numbers: [81, 111]\nGenerated Node #0,3,0: 45:[81, 111] Operation: 42+69=111\nExploring Operation: 81-69=12, Resulting Numbers: [42, 12]\nGenerated Node #0,3,1: 45:[42, 12] Operation: 81-69=12\nExploring Operation: 42+81=123, Resulting Numbers: [69, 123]\nGenerated Node #0,3,2: 45:[69, 123] Operation: 42+81=123\nExploring Operation: 81-42=39, Resulting Numbers: [69, 39]\nGenerated Node #0,3,3: 45:[69, 39] Operation: 81-42=39\nExploring Operation: 69-42=27, Resulting Numbers: [81, 27]\nGenerated Node #0,3,4: 45:[81, 27] Operation: 69-42=27\nMoving to Node #0,4\nCurrent State: 45:[42, 92, 58], Operations: ['69-11=58']\nExploring Operation: 58-42=16, Resulting Numbers: [92, 16]\nGenerated Node #0,4,0: 45:[92, 16] Operation: 58-42=16\nExploring Operation: 42+92=134, Resulting Numbers: [58, 134]\nGenerated Node #0,4,1: 45:[58, 134] Operation: 42+92=134\nExploring Operation: 92-42=50, Resulting Numbers: [58, 50]\nGenerated Node #0,4,2: 45:[58, 50] Operation: 92-42=50\nExploring Operation: 92-58=34, Resulting Numbers: [42, 34]\nGenerated Node #0,4,3: 45:[42, 34] Operation: 92-58=34\nExploring Operation: 42+58=100, Resulting Numbers: [92, 100]\nGenerated Node #0,4,4: 45:[92, 100] Operation: 42+58=100\nMoving to Node #0,0,2\nCurrent State: 45:[11, 19], Operations: ['92-69=23', '42-23=19']\nExploring Operation: 11*19=209, Resulting Numbers: [209]\n209,45 unequal: No Solution\nExploring Operation: 11+19=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nExploring Operation: 19-11=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 45:[11, 19], Operations: ['92-42=50', '69-50=19']\nExploring Operation: 11*19=209, Resulting Numbers: [209]\n209,45 unequal: No Solution\nExploring Operation: 11+19=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nExploring Operation: 19-11=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 45:[42, 12], Operations: ['92-69=23', '23-11=12']\nExploring Operation: 42-12=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nExploring Operation: 42+12=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nExploring Operation: 42*12=504, Resulting Numbers: [504]\n504,45 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 45:[42, 12], Operations: ['92-11=81', '81-69=12']\nExploring Operation: 42+12=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nExploring Operation: 42*12=504, Resulting Numbers: [504]\n504,45 unequal: No Solution\nExploring Operation: 42-12=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 45:[42, 34], Operations: ['92-69=23', '11+23=34']\nExploring Operation: 42+34=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nExploring Operation: 42-34=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nExploring Operation: 42*34=1428, Resulting Numbers: [1428]\n1428,45 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 45:[8], Operations: ['92-69=23', '42-23=19', '19-11=8']\nMoving to Node #0,1,0,0\nCurrent State: 45:[8], Operations: ['92-42=50', '69-50=19', '19-11=8']\nMoving to Node #0,0,3,0\nCurrent State: 45:[8], Operations: ['92-69=23', '11+23=34', '42-34=8']\nMoving to Node #0,3,1,0\nCurrent State: 45:[54], Operations: ['92-11=81', '81-69=12', '42+12=54']\nMoving to Node #0,0,4,0\nCurrent State: 45:[54], Operations: ['92-69=23', '23-11=12', '42+12=54']\nMoving to Node #0,4,3\nCurrent State: 45:[42, 34], Operations: ['69-11=58', '92-58=34']\nExploring Operation: 42*34=1428, Resulting Numbers: [1428]\n1428,45 unequal: No Solution\nExploring Operation: 42+34=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nExploring Operation: 42-34=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nMoving to Node #0,0,4,0\nCurrent State: 45:[30], Operations: ['92-69=23', '23-11=12', '42-12=30']\nMoving to Node #0,3,1,0\nCurrent State: 45:[30], Operations: ['92-11=81', '81-69=12', '42-12=30']\nMoving to Node #0,1,0,0\nCurrent State: 45:[30], Operations: ['92-42=50', '69-50=19', '11+19=30']\nMoving to Node #0,0,2,0\nCurrent State: 45:[30], Operations: ['92-69=23', '42-23=19', '11+19=30']\nMoving to Node #0,4,3,0\nCurrent State: 45:[8], Operations: ['69-11=58', '92-58=34', '42-34=8']\nMoving to Node #0,0,0\nCurrent State: 45:[23, 53], Operations: ['92-69=23', '11+42=53']\nExploring Operation: 23+53=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nExploring Operation: 23*53=1219, Resulting Numbers: [1219]\n1219,45 unequal: No Solution\nExploring Operation: 53-23=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 45:[50, 58], Operations: ['92-42=50', '69-11=58']\nExploring Operation: 50+58=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nExploring Operation: 50*58=2900, Resulting Numbers: [2900]\n2900,45 unequal: No Solution\nExploring Operation: 58-50=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 45:[58, 50], Operations: ['69-11=58', '92-42=50']\nExploring Operation: 58+50=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nExploring Operation: 58-50=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nExploring Operation: 58*50=2900, Resulting Numbers: [2900]\n2900,45 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 45:[11, 65], Operations: ['69-42=27', '92-27=65']\nExploring Operation: 11*65=715, Resulting Numbers: [715]\n715,45 unequal: No Solution\nExploring Operation: 11+65=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nExploring Operation: 65-11=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 45:[8], Operations: ['92-42=50', '69-11=58', '58-50=8']\nMoving to Node #0,4,2,0\nCurrent State: 45:[8], Operations: ['69-11=58', '92-42=50', '58-50=8']\nMoving to Node #0,2,2,0\nCurrent State: 45:[54], Operations: ['69-42=27', '92-27=65', '65-11=54']\nMoving to Node #0,0,0,0\nCurrent State: 45:[30], Operations: ['92-69=23', '11+42=53', '53-23=30']\nMoving to Node #0,0,1\nCurrent State: 45:[23, 31], Operations: ['92-69=23', '42-11=31']\nExploring Operation: 23*31=713, Resulting Numbers: [713]\n713,45 unequal: No Solution\nExploring Operation: 23+31=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nExploring Operation: 31-23=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 45:[8], Operations: ['92-69=23', '42-11=31', '31-23=8']\nMoving to Node #0,0,1,0\nCurrent State: 45:[54], Operations: ['92-69=23', '42-11=31', '23+31=54']\nMoving to Node #0,3,3\nCurrent State: 45:[69, 39], Operations: ['92-11=81', '81-42=39']\nExploring Operation: 69-39=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nExploring Operation: 69*39=2691, Resulting Numbers: [2691]\n2691,45 unequal: No Solution\nExploring Operation: 69+39=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 45:[69, 39], Operations: ['92-42=50', '50-11=39']\nExploring Operation: 69-39=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nExploring Operation: 69+39=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nExploring Operation: 69*39=2691, Resulting Numbers: [2691]\n2691,45 unequal: No Solution\nMoving to Node #0,4,3,0\nCurrent State: 45:[76], Operations: ['69-11=58', '92-58=34', '42+34=76']\nMoving to Node #0,3,3,0\nCurrent State: 45:[30], Operations: ['92-11=81', '81-42=39', '69-39=30']\nMoving to Node #0,1,2,0\nCurrent State: 45:[30], Operations: ['92-42=50', '50-11=39', '69-39=30']\nMoving to Node #0,0,0,0\nCurrent State: 45:[76], Operations: ['92-69=23', '11+42=53', '23+53=76']\nMoving to Node #0,2,2,0\nCurrent State: 45:[76], Operations: ['69-42=27', '92-27=65', '11+65=76']\nMoving to Node #0,0,3,0\nCurrent State: 45:[76], Operations: ['92-69=23', '11+23=34', '42+34=76']\nMoving to Node #0,1,4\nCurrent State: 45:[69, 61], Operations: ['92-42=50', '11+50=61']\nExploring Operation: 69+61=130, Resulting Numbers: [130]\n130,45 unequal: No Solution\nExploring Operation: 69*61=4209, Resulting Numbers: [4209]\n4209,45 unequal: No Solution\nExploring Operation: 69-61=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 45:[50, 80], Operations: ['92-42=50', '11+69=80']\nExploring Operation: 50*80=4000, Resulting Numbers: [4000]\n4000,45 unequal: No Solution\nExploring Operation: 50+80=130, Resulting Numbers: [130]\n130,45 unequal: No Solution\nExploring Operation: 80-50=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 45:[92, 16], Operations: ['69-11=58', '58-42=16']\nExploring Operation: 92*16=1472, Resulting Numbers: [1472]\n1472,45 unequal: No Solution\nExploring Operation: 92+16=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nExploring Operation: 92-16=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 45:[27, 81], Operations: ['69-42=27', '92-11=81']\nExploring Operation: 81/27=3, Resulting Numbers: [3]\n3,45 unequal: No Solution\nExploring Operation: 27+81=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nExploring Operation: 27*81=2187, Resulting Numbers: [2187]\n2187,45 unequal: No Solution\nExploring Operation: 81-27=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 45:[92, 16], Operations: ['69-42=27', '27-11=16']\nExploring Operation: 92-16=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nExploring Operation: 92+16=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nExploring Operation: 92*16=1472, Resulting Numbers: [1472]\n1472,45 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 45:[3], Operations: ['69-42=27', '92-11=81', '81/27=3']\nMoving to Node #0,1,4,0\nCurrent State: 45:[8], Operations: ['92-42=50', '11+50=61', '69-61=8']\nMoving to Node #0,2,1,0\nCurrent State: 45:[54], Operations: ['69-42=27', '92-11=81', '81-27=54']\nMoving to Node #0,1,3,0\nCurrent State: 45:[30], Operations: ['92-42=50', '11+69=80', '80-50=30']\nMoving to Node #0,4,0,0\nCurrent State: 45:[76], Operations: ['69-11=58', '58-42=16', '92-16=76']\nMoving to Node #0,2,0,0\nCurrent State: 45:[76], Operations: ['69-42=27', '27-11=16', '92-16=76']\nMoving to Node #0,3,4\nCurrent State: 45:[81, 27], Operations: ['92-11=81', '69-42=27']\nExploring Operation: 81*27=2187, Resulting Numbers: [2187]\n2187,45 unequal: No Solution\nExploring Operation: 81/27=3, Resulting Numbers: [3]\n3,45 unequal: No Solution\nExploring Operation: 81-27=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nExploring Operation: 81+27=108, Resulting Numbers: [108]\n108,45 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 45:[92, 38], Operations: ['69-42=27', '11+27=38']\nExploring Operation: 92+38=130, Resulting Numbers: [130]\n130,45 unequal: No Solution\nExploring Operation: 92-38=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nExploring Operation: 92*38=3496, Resulting Numbers: [3496]\n3496,45 unequal: No Solution\nMoving to Node #0,4,2,0\nCurrent State: 45:[108], Operations: ['69-11=58', '92-42=50', '58+50=108']\nMoving to Node #0,1,1,0\nCurrent State: 45:[108], Operations: ['92-42=50', '69-11=58', '50+58=108']\nMoving to Node #0,3,4,0\nCurrent State: 45:[3], Operations: ['92-11=81', '69-42=27', '81/27=3']\nMoving to Node #0,3,4,0\nCurrent State: 45:[54], Operations: ['92-11=81', '69-42=27', '81-27=54']\nMoving to Node #0,2,4,0\nCurrent State: 45:[54], Operations: ['69-42=27', '11+27=38', '92-38=54']\nMoving to Node #0,3,3,0\nCurrent State: 45:[108], Operations: ['92-11=81', '81-42=39', '69+39=108']\nMoving to Node #0,2,1,0\nCurrent State: 45:[108], Operations: ['69-42=27', '92-11=81', '27+81=108']\nMoving to Node #0,2,0,0\nCurrent State: 45:[108], Operations: ['69-42=27', '27-11=16', '92+16=108']\nMoving to Node #0,4,0,0\nCurrent State: 45:[108], Operations: ['69-11=58', '58-42=16', '92+16=108']\nMoving to Node #0,1,2,0\nCurrent State: 45:[108], Operations: ['92-42=50', '50-11=39', '69+39=108']\nMoving to Node #0,3,4,0\nCurrent State: 45:[108], Operations: ['92-11=81', '69-42=27', '81+27=108']\nMoving to Node #0,2,3\nCurrent State: 45:[27, 103], Operations: ['69-42=27', '11+92=103']\nExploring Operation: 27*103=2781, Resulting Numbers: [2781]\n2781,45 unequal: No Solution\nExploring Operation: 27+103=130, Resulting Numbers: [130]\n130,45 unequal: No Solution\nExploring Operation: 103-27=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nMoving to Node #0,2,3,0\nCurrent State: 45:[76], Operations: ['69-42=27', '11+92=103', '103-27=76']\nMoving to Node #0,1,3,0\nCurrent State: 45:[130], Operations: ['92-42=50', '11+69=80', '50+80=130']\nMoving to Node #0,1,4,0\nCurrent State: 45:[130], Operations: ['92-42=50', '11+50=61', '69+61=130']\nMoving to Node #0,2,3,0\nCurrent State: 45:[130], Operations: ['69-42=27', '11+92=103', '27+103=130']\nMoving to Node #0,2,4,0\nCurrent State: 45:[130], Operations: ['69-42=27', '11+27=38', '92+38=130']\nMoving to Node #0,4,4\nCurrent State: 45:[92, 100], Operations: ['69-11=58', '42+58=100']\nExploring Operation: 92+100=192, Resulting Numbers: [192]\n192,45 unequal: No Solution\nExploring Operation: 100-92=8, Resulting Numbers: [8]\n8,45 unequal: No Solution\nExploring Operation: 92*100=9200, Resulting Numbers: [9200]\n9200,45 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 45:[81, 111], Operations: ['92-11=81', '42+69=111']\nExploring Operation: 111-81=30, Resulting Numbers: [30]\n30,45 unequal: No Solution\nExploring Operation: 81+111=192, Resulting Numbers: [192]\n192,45 unequal: No Solution\nExploring Operation: 81*111=8991, Resulting Numbers: [8991]\n8991,45 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 45:[58, 134], Operations: ['69-11=58', '42+92=134']\nExploring Operation: 58*134=7772, Resulting Numbers: [7772]\n7772,45 unequal: No Solution\nExploring Operation: 58+134=192, Resulting Numbers: [192]\n192,45 unequal: No Solution\nExploring Operation: 134-58=76, Resulting Numbers: [76]\n76,45 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 45:[69, 123], Operations: ['92-11=81', '42+81=123']\nExploring Operation: 69*123=8487, Resulting Numbers: [8487]\n8487,45 unequal: No Solution\nExploring Operation: 69+123=192, Resulting Numbers: [192]\n192,45 unequal: No Solution\nExploring Operation: 123-69=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 45:[209], Operations: ['92-69=23', '42-23=19', '11*19=209']\nMoving to Node #0,4,4,0\nCurrent State: 45:[8], Operations: ['69-11=58', '42+58=100', '100-92=8']\nMoving to Node #0,3,2,0\nCurrent State: 45:[54], Operations: ['92-11=81', '42+81=123', '123-69=54']\nMoving to Node #0,3,0,0\nCurrent State: 45:[30], Operations: ['92-11=81', '42+69=111', '111-81=30']\nMoving to Node #0,4,1,0\nCurrent State: 45:[76], Operations: ['69-11=58', '42+92=134', '134-58=76']\nMoving to Node #0,4,1,0\nCurrent State: 45:[192], Operations: ['69-11=58', '42+92=134', '58+134=192']\nMoving to Node #0,3,2,0\nCurrent State: 45:[192], Operations: ['92-11=81', '42+81=123', '69+123=192']\nMoving to Node #0,3,0,0\nCurrent State: 45:[192], Operations: ['92-11=81', '42+69=111', '81+111=192']\nMoving to Node #0,4,4,0\nCurrent State: 45:[192], Operations: ['69-11=58', '42+58=100', '92+100=192']\nMoving to Node #0,1,0,0\nCurrent State: 45:[209], Operations: ['92-42=50', '69-50=19', '11*19=209']\nMoving to Node #0,0,4,0\nCurrent State: 45:[504], Operations: ['92-69=23', '23-11=12', '42*12=504']\nMoving to Node #0,3,1,0\nCurrent State: 45:[504], Operations: ['92-11=81', '81-69=12', '42*12=504']\nMoving to Node #0,0,1,0\nCurrent State: 45:[713], Operations: ['92-69=23', '42-11=31', '23*31=713']\nMoving to Node #0,2,2,0\nCurrent State: 45:[715], Operations: ['69-42=27', '92-27=65', '11*65=715']\nMoving to Node #0,0,0,0\nCurrent State: 45:[1219], Operations: ['92-69=23', '11+42=53', '23*53=1219']\nMoving to Node #0,0,3,0\nCurrent State: 45:[1428], Operations: ['92-69=23', '11+23=34', '42*34=1428']\nMoving to Node #0,4,3,0\nCurrent State: 45:[1428], Operations: ['69-11=58', '92-58=34', '42*34=1428']\nMoving to Node #0,4,0,0\nCurrent State: 45:[1472], Operations: ['69-11=58', '58-42=16', '92*16=1472']\nMoving to Node #0,2,0,0\nCurrent State: 45:[1472], Operations: ['69-42=27', '27-11=16', '92*16=1472']\nMoving to Node #0,2,1,0\nCurrent State: 45:[2187], Operations: ['69-42=27', '92-11=81', '27*81=2187']\nMoving to Node #0,3,4,0\nCurrent State: 45:[2187], Operations: ['92-11=81', '69-42=27', '81*27=2187']\nMoving to Node #0,1,2,0\nCurrent State: 45:[2691], Operations: ['92-42=50', '50-11=39', '69*39=2691']\nMoving to Node #0,3,3,0\nCurrent State: 45:[2691], Operations: ['92-11=81', '81-42=39', '69*39=2691']\nMoving to Node #0,2,3,0\nCurrent State: 45:[2781], Operations: ['69-42=27', '11+92=103', '27*103=2781']\nMoving to Node #0,1,1,0\nCurrent State: 45:[2900], Operations: ['92-42=50', '69-11=58', '50*58=2900']\nMoving to Node #0,4,2,0\nCurrent State: 45:[2900], Operations: ['69-11=58', '92-42=50', '58*50=2900']\nMoving to Node #0,2,4,0\nCurrent State: 45:[3496], Operations: ['69-42=27', '11+27=38', '92*38=3496']\nMoving to Node #0,1,3,0\nCurrent State: 45:[4000], Operations: ['92-42=50', '11+69=80', '50*80=4000']\nMoving to Node #0,1,4,0\nCurrent State: 45:[4209], Operations: ['92-42=50', '11+50=61', '69*61=4209']\nMoving to Node #0,4,1,0\nCurrent State: 45:[7772], Operations: ['69-11=58', '42+92=134', '58*134=7772']\nMoving to Node #0,3,2,0\nCurrent State: 45:[8487], Operations: ['92-11=81', '42+81=123', '69*123=8487']\nMoving to Node #0,3,0,0\nCurrent State: 45:[8991], Operations: ['92-11=81', '42+69=111', '81*111=8991']\nMoving to Node #0,4,4,0\nCurrent State: 45:[9200], Operations: ['69-11=58', '42+58=100', '92*100=9200']\nNo solution found.", "role": "assistant" } ]
[ 99, 28, 68, 11 ]
49
[ "99/11=9", "68-28=40", "9+40=49" ]
Current State: 49:[99, 28, 68, 11], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [28, 68, 9] Generated Node #0,0: 49:[28, 68, 9] Operation: 99/11=9 Moving to Node #0,0 Current State: 49:[28, 68, 9], Operations: ['99/11=9'] Exploring Operation: 68-28=40, Resulting Numbers: [9, 40] Generated Node #0,0,0: 49:[9, 40] Operation: 68-28=40 Moving to Node #0,0,0 Current State: 49:[9, 40], Operations: ['99/11=9', '68-28=40'] Exploring Operation: 9+40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
0.996528
dfs
Current State: 49:[99, 28, 68, 11], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [28, 68, 9] Generated Node #2: [28, 68, 9] from Operation: 99/11=9 Current State: 49:[28, 68, 9], Operations: ['99/11=9'] Exploring Operation: 68-28=40, Resulting Numbers: [9, 40] Generated Node #3: [9, 40] from Operation: 68-28=40 Current State: 49:[9, 40], Operations: ['99/11=9', '68-28=40'] Exploring Operation: 9+40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
mult_heuristic
[ { "content": "Make 49 with the numbers [99, 28, 68, 11] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 49:[99, 28, 68, 11], Operations: []\nExploring Operation: 99/11=9, Resulting Numbers: [28, 68, 9]\nGenerated Node #0,0: 49:[28, 68, 9] Operation: 99/11=9\nMoving to Node #0,0\nCurrent State: 49:[28, 68, 9], Operations: ['99/11=9']\nExploring Operation: 68-28=40, Resulting Numbers: [9, 40]\nGenerated Node #0,0,0: 49:[9, 40] Operation: 68-28=40\nMoving to Node #0,0,0\nCurrent State: 49:[9, 40], Operations: ['99/11=9', '68-28=40']\nExploring Operation: 9+40=49, Resulting Numbers: [49]\n49,49 equal: Goal Reached\n", "role": "assistant" } ]
[ 54, 21, 4, 4 ]
76
[ "54+21=75", "4/4=1", "75+1=76" ]
Current State: 76:[54, 21, 4, 4], Operations: [] Exploring Operation: 54+21=75, Resulting Numbers: [4, 4, 75] Generated Node #0,0: 76:[4, 4, 75] Operation: 54+21=75 Moving to Node #0,0 Current State: 76:[4, 4, 75], Operations: ['54+21=75'] Exploring Operation: 4/4=1, Resulting Numbers: [75, 1] Generated Node #0,0,0: 76:[75, 1] Operation: 4/4=1 Moving to Node #0,0,0 Current State: 76:[75, 1], Operations: ['54+21=75', '4/4=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
0.996528
dfs
Current State: 76:[54, 21, 4, 4], Operations: [] Exploring Operation: 54+21=75, Resulting Numbers: [4, 4, 75] Generated Node #2: [4, 4, 75] from Operation: 54+21=75 Current State: 76:[4, 4, 75], Operations: ['54+21=75'] Exploring Operation: 4/4=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 4/4=1 Current State: 76:[75, 1], Operations: ['54+21=75', '4/4=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
mult_heuristic
[ { "content": "Make 76 with the numbers [54, 21, 4, 4] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 76:[54, 21, 4, 4], Operations: []\nExploring Operation: 54+21=75, Resulting Numbers: [4, 4, 75]\nGenerated Node #0,0: 76:[4, 4, 75] Operation: 54+21=75\nMoving to Node #0,0\nCurrent State: 76:[4, 4, 75], Operations: ['54+21=75']\nExploring Operation: 4/4=1, Resulting Numbers: [75, 1]\nGenerated Node #0,0,0: 76:[75, 1] Operation: 4/4=1\nMoving to Node #0,0,0\nCurrent State: 76:[75, 1], Operations: ['54+21=75', '4/4=1']\nExploring Operation: 75+1=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached\n", "role": "assistant" } ]
[ 87, 62, 2, 1 ]
36
[ "87+1=88", "62*2=124", "124-88=36" ]
Current State: 36:[87, 62, 2, 1], Operations: [] Exploring Operation: 87-62=25, Resulting Numbers: [2, 1, 25] Generated Node #0,0: 36:[2, 1, 25] Operation: 87-62=25 Moving to Node #0,0 Current State: 36:[2, 1, 25], Operations: ['87-62=25'] Exploring Operation: 2+1=3, Resulting Numbers: [25, 3] Generated Node #0,0,0: 36:[25, 3] Operation: 2+1=3 Moving to Node #0,0,0 Current State: 36:[25, 3], Operations: ['87-62=25', '2+1=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,36 unequal: No Solution Moving to Node #0,0,0,0 Current State: 36:[28], Operations: ['87-62=25', '2+1=3', '25+3=28'] No solution found.
0
bfs_1
Current State: 36:[87, 62, 2, 1], Operations: [] Exploring Operation: 87+1=88, Resulting Numbers: [62, 2, 88] Generated Node #2: [62, 2, 88] from Operation: 87+1=88 Current State: 36:[62, 2, 88], Operations: ['87+1=88'] Exploring Operation: 62*2=124, Resulting Numbers: [88, 124] Generated Node #3: [88, 124] from Operation: 62*2=124 Current State: 36:[88, 124], Operations: ['87+1=88', '62*2=124'] Exploring Operation: 124-88=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
sum_heuristic
[ { "content": "Make 36 with the numbers [87, 62, 2, 1] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 36:[87, 62, 2, 1], Operations: []\nExploring Operation: 87-62=25, Resulting Numbers: [2, 1, 25]\nGenerated Node #0,0: 36:[2, 1, 25] Operation: 87-62=25\nMoving to Node #0,0\nCurrent State: 36:[2, 1, 25], Operations: ['87-62=25']\nExploring Operation: 2+1=3, Resulting Numbers: [25, 3]\nGenerated Node #0,0,0: 36:[25, 3] Operation: 2+1=3\nMoving to Node #0,0,0\nCurrent State: 36:[25, 3], Operations: ['87-62=25', '2+1=3']\nExploring Operation: 25+3=28, Resulting Numbers: [28]\n28,36 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 36:[28], Operations: ['87-62=25', '2+1=3', '25+3=28']\nNo solution found.", "role": "assistant" } ]
[ 60, 33, 30, 52 ]
84
[ "60*30=1800", "33*52=1716", "1800-1716=84" ]
Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [33, 30, 8] Generated Node #0,0: 84:[33, 30, 8] Operation: 60-52=8 Moving to Node #0,0 Current State: 84:[33, 30, 8], Operations: ['60-52=8'] Exploring Operation: 33-30=3, Resulting Numbers: [8, 3] Generated Node #0,0,0: 84:[8, 3] Operation: 33-30=3 Moving to Node #0,0,0 Current State: 84:[8, 3], Operations: ['60-52=8', '33-30=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[8, 3], Operations: ['60-52=8', '33-30=3'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[8, 3], Operations: ['60-52=8', '33-30=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,84 unequal: No Solution Moving to Node #0,0 Current State: 84:[33, 30, 8], Operations: ['60-52=8'] Exploring Operation: 33+8=41, Resulting Numbers: [30, 41] Generated Node #0,0,1: 84:[30, 41] Operation: 33+8=41 Moving to Node #0,0,1 Current State: 84:[30, 41], Operations: ['60-52=8', '33+8=41'] Exploring Operation: 41-30=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,0,1 Current State: 84:[30, 41], Operations: ['60-52=8', '33+8=41'] Exploring Operation: 30+41=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,0 Current State: 84:[33, 30, 8], Operations: ['60-52=8'] Exploring Operation: 33-8=25, Resulting Numbers: [30, 25] Generated Node #0,0,2: 84:[30, 25] Operation: 33-8=25 Moving to Node #0,0,2 Current State: 84:[30, 25], Operations: ['60-52=8', '33-8=25'] Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,0,2 Current State: 84:[30, 25], Operations: ['60-52=8', '33-8=25'] Exploring Operation: 30+25=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,0 Current State: 84:[33, 30, 8], Operations: ['60-52=8'] Exploring Operation: 30-8=22, Resulting Numbers: [33, 22] Generated Node #0,0,3: 84:[33, 22] Operation: 30-8=22 Moving to Node #0,0,3 Current State: 84:[33, 22], Operations: ['60-52=8', '30-8=22'] Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,0,3 Current State: 84:[33, 22], Operations: ['60-52=8', '30-8=22'] Exploring Operation: 33+22=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,0 Current State: 84:[33, 30, 8], Operations: ['60-52=8'] Exploring Operation: 30+8=38, Resulting Numbers: [33, 38] Generated Node #0,0,4: 84:[33, 38] Operation: 30+8=38 Moving to Node #0,0,4 Current State: 84:[33, 38], Operations: ['60-52=8', '30+8=38'] Exploring Operation: 38-33=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,0,4 Current State: 84:[33, 38], Operations: ['60-52=8', '30+8=38'] Exploring Operation: 33+38=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,0 Current State: 84:[33, 30, 8], Operations: ['60-52=8'] Exploring Operation: 33+30=63, Resulting Numbers: [8, 63] Generated Node #0,0,5: 84:[8, 63] Operation: 33+30=63 Moving to Node #0,0,5 Current State: 84:[8, 63], Operations: ['60-52=8', '33+30=63'] Exploring Operation: 8+63=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,0,5 Current State: 84:[8, 63], Operations: ['60-52=8', '33+30=63'] Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60-33=27, Resulting Numbers: [30, 52, 27] Generated Node #0,1: 84:[30, 52, 27] Operation: 60-33=27 Moving to Node #0,1 Current State: 84:[30, 52, 27], Operations: ['60-33=27'] Exploring Operation: 52-30=22, Resulting Numbers: [27, 22] Generated Node #0,1,0: 84:[27, 22] Operation: 52-30=22 Moving to Node #0,1,0 Current State: 84:[27, 22], Operations: ['60-33=27', '52-30=22'] Exploring Operation: 27-22=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,1,0 Current State: 84:[27, 22], Operations: ['60-33=27', '52-30=22'] Exploring Operation: 27+22=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,1 Current State: 84:[30, 52, 27], Operations: ['60-33=27'] Exploring Operation: 30+52=82, Resulting Numbers: [27, 82] Generated Node #0,1,1: 84:[27, 82] Operation: 30+52=82 Moving to Node #0,1,1 Current State: 84:[27, 82], Operations: ['60-33=27', '30+52=82'] Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,1,1 Current State: 84:[27, 82], Operations: ['60-33=27', '30+52=82'] Exploring Operation: 27+82=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,1 Current State: 84:[30, 52, 27], Operations: ['60-33=27'] Exploring Operation: 52-27=25, Resulting Numbers: [30, 25] Generated Node #0,1,2: 84:[30, 25] Operation: 52-27=25 Moving to Node #0,1,2 Current State: 84:[30, 25], Operations: ['60-33=27', '52-27=25'] Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,1,2 Current State: 84:[30, 25], Operations: ['60-33=27', '52-27=25'] Exploring Operation: 30+25=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,1 Current State: 84:[30, 52, 27], Operations: ['60-33=27'] Exploring Operation: 52+27=79, Resulting Numbers: [30, 79] Generated Node #0,1,3: 84:[30, 79] Operation: 52+27=79 Moving to Node #0,1,3 Current State: 84:[30, 79], Operations: ['60-33=27', '52+27=79'] Exploring Operation: 79-30=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,1,3 Current State: 84:[30, 79], Operations: ['60-33=27', '52+27=79'] Exploring Operation: 30+79=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,1 Current State: 84:[30, 52, 27], Operations: ['60-33=27'] Exploring Operation: 30-27=3, Resulting Numbers: [52, 3] Generated Node #0,1,4: 84:[52, 3] Operation: 30-27=3 Moving to Node #0,1,4 Current State: 84:[52, 3], Operations: ['60-33=27', '30-27=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,1,4 Current State: 84:[52, 3], Operations: ['60-33=27', '30-27=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,1,4 Current State: 84:[52, 3], Operations: ['60-33=27', '30-27=3'] Exploring Operation: 52*3=156, Resulting Numbers: [156] 156,84 unequal: No Solution Moving to Node #0,1 Current State: 84:[30, 52, 27], Operations: ['60-33=27'] Exploring Operation: 30+27=57, Resulting Numbers: [52, 57] Generated Node #0,1,5: 84:[52, 57] Operation: 30+27=57 Moving to Node #0,1,5 Current State: 84:[52, 57], Operations: ['60-33=27', '30+27=57'] Exploring Operation: 57-52=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,1,5 Current State: 84:[52, 57], Operations: ['60-33=27', '30+27=57'] Exploring Operation: 52+57=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [33, 52, 2] Generated Node #0,2: 84:[33, 52, 2] Operation: 60/30=2 Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 33+52=85, Resulting Numbers: [2, 85] Generated Node #0,2,0: 84:[2, 85] Operation: 33+52=85 Moving to Node #0,2,0 Current State: 84:[2, 85], Operations: ['60/30=2', '33+52=85'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,84 unequal: No Solution Moving to Node #0,2,0 Current State: 84:[2, 85], Operations: ['60/30=2', '33+52=85'] Exploring Operation: 2+85=87, Resulting Numbers: [87] 87,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 52-33=19, Resulting Numbers: [2, 19] Generated Node #0,2,1: 84:[2, 19] Operation: 52-33=19 Moving to Node #0,2,1 Current State: 84:[2, 19], Operations: ['60/30=2', '52-33=19'] Exploring Operation: 2+19=21, Resulting Numbers: [21] 21,84 unequal: No Solution Moving to Node #0,2,1 Current State: 84:[2, 19], Operations: ['60/30=2', '52-33=19'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,84 unequal: No Solution Moving to Node #0,2,1 Current State: 84:[2, 19], Operations: ['60/30=2', '52-33=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 52/2=26, Resulting Numbers: [33, 26] Generated Node #0,2,2: 84:[33, 26] Operation: 52/2=26 Moving to Node #0,2,2 Current State: 84:[33, 26], Operations: ['60/30=2', '52/2=26'] Exploring Operation: 33-26=7, Resulting Numbers: [7] 7,84 unequal: No Solution Moving to Node #0,2,2 Current State: 84:[33, 26], Operations: ['60/30=2', '52/2=26'] Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 33-2=31, Resulting Numbers: [52, 31] Generated Node #0,2,3: 84:[52, 31] Operation: 33-2=31 Moving to Node #0,2,3 Current State: 84:[52, 31], Operations: ['60/30=2', '33-2=31'] Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,84 unequal: No Solution Moving to Node #0,2,3 Current State: 84:[52, 31], Operations: ['60/30=2', '33-2=31'] Exploring Operation: 52+31=83, Resulting Numbers: [83] 83,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 52-2=50, Resulting Numbers: [33, 50] Generated Node #0,2,4: 84:[33, 50] Operation: 52-2=50 Moving to Node #0,2,4 Current State: 84:[33, 50], Operations: ['60/30=2', '52-2=50'] Exploring Operation: 33+50=83, Resulting Numbers: [83] 83,84 unequal: No Solution Moving to Node #0,2,4 Current State: 84:[33, 50], Operations: ['60/30=2', '52-2=50'] Exploring Operation: 50-33=17, Resulting Numbers: [17] 17,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 33+2=35, Resulting Numbers: [52, 35] Generated Node #0,2,5: 84:[52, 35] Operation: 33+2=35 Moving to Node #0,2,5 Current State: 84:[52, 35], Operations: ['60/30=2', '33+2=35'] Exploring Operation: 52+35=87, Resulting Numbers: [87] 87,84 unequal: No Solution Moving to Node #0,2,5 Current State: 84:[52, 35], Operations: ['60/30=2', '33+2=35'] Exploring Operation: 52-35=17, Resulting Numbers: [17] 17,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 52+2=54, Resulting Numbers: [33, 54] Generated Node #0,2,6: 84:[33, 54] Operation: 52+2=54 Moving to Node #0,2,6 Current State: 84:[33, 54], Operations: ['60/30=2', '52+2=54'] Exploring Operation: 54-33=21, Resulting Numbers: [21] 21,84 unequal: No Solution Moving to Node #0,2,6 Current State: 84:[33, 54], Operations: ['60/30=2', '52+2=54'] Exploring Operation: 33+54=87, Resulting Numbers: [87] 87,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 52*2=104, Resulting Numbers: [33, 104] Generated Node #0,2,7: 84:[33, 104] Operation: 52*2=104 Moving to Node #0,2,7 Current State: 84:[33, 104], Operations: ['60/30=2', '52*2=104'] Exploring Operation: 104-33=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,2,7 Current State: 84:[33, 104], Operations: ['60/30=2', '52*2=104'] Exploring Operation: 33+104=137, Resulting Numbers: [137] 137,84 unequal: No Solution Moving to Node #0,2 Current State: 84:[33, 52, 2], Operations: ['60/30=2'] Exploring Operation: 33*2=66, Resulting Numbers: [52, 66] Generated Node #0,2,8: 84:[52, 66] Operation: 33*2=66 Moving to Node #0,2,8 Current State: 84:[52, 66], Operations: ['60/30=2', '33*2=66'] Exploring Operation: 66-52=14, Resulting Numbers: [14] 14,84 unequal: No Solution Moving to Node #0,2,8 Current State: 84:[52, 66], Operations: ['60/30=2', '33*2=66'] Exploring Operation: 52+66=118, Resulting Numbers: [118] 118,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60-30=30, Resulting Numbers: [33, 52, 30] Generated Node #0,3: 84:[33, 52, 30] Operation: 60-30=30 Moving to Node #0,3 Current State: 84:[33, 52, 30], Operations: ['60-30=30'] Exploring Operation: 33+52=85, Resulting Numbers: [30, 85] Generated Node #0,3,0: 84:[30, 85] Operation: 33+52=85 Moving to Node #0,3,0 Current State: 84:[30, 85], Operations: ['60-30=30', '33+52=85'] Exploring Operation: 85-30=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,3,0 Current State: 84:[30, 85], Operations: ['60-30=30', '33+52=85'] Exploring Operation: 30+85=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,3 Current State: 84:[33, 52, 30], Operations: ['60-30=30'] Exploring Operation: 52-33=19, Resulting Numbers: [30, 19] Generated Node #0,3,1: 84:[30, 19] Operation: 52-33=19 Moving to Node #0,3,1 Current State: 84:[30, 19], Operations: ['60-30=30', '52-33=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,3,1 Current State: 84:[30, 19], Operations: ['60-30=30', '52-33=19'] Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,3 Current State: 84:[33, 52, 30], Operations: ['60-30=30'] Exploring Operation: 52-30=22, Resulting Numbers: [33, 22] Generated Node #0,3,2: 84:[33, 22] Operation: 52-30=22 Moving to Node #0,3,2 Current State: 84:[33, 22], Operations: ['60-30=30', '52-30=22'] Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,3,2 Current State: 84:[33, 22], Operations: ['60-30=30', '52-30=22'] Exploring Operation: 33+22=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,3 Current State: 84:[33, 52, 30], Operations: ['60-30=30'] Exploring Operation: 52+30=82, Resulting Numbers: [33, 82] Generated Node #0,3,3: 84:[33, 82] Operation: 52+30=82 Moving to Node #0,3,3 Current State: 84:[33, 82], Operations: ['60-30=30', '52+30=82'] Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,3,3 Current State: 84:[33, 82], Operations: ['60-30=30', '52+30=82'] Exploring Operation: 33+82=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,3 Current State: 84:[33, 52, 30], Operations: ['60-30=30'] Exploring Operation: 33-30=3, Resulting Numbers: [52, 3] Generated Node #0,3,4: 84:[52, 3] Operation: 33-30=3 Moving to Node #0,3,4 Current State: 84:[52, 3], Operations: ['60-30=30', '33-30=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,3,4 Current State: 84:[52, 3], Operations: ['60-30=30', '33-30=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,3,4 Current State: 84:[52, 3], Operations: ['60-30=30', '33-30=3'] Exploring Operation: 52*3=156, Resulting Numbers: [156] 156,84 unequal: No Solution Moving to Node #0,3 Current State: 84:[33, 52, 30], Operations: ['60-30=30'] Exploring Operation: 33+30=63, Resulting Numbers: [52, 63] Generated Node #0,3,5: 84:[52, 63] Operation: 33+30=63 Moving to Node #0,3,5 Current State: 84:[52, 63], Operations: ['60-30=30', '33+30=63'] Exploring Operation: 63-52=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,3,5 Current State: 84:[52, 63], Operations: ['60-30=30', '33+30=63'] Exploring Operation: 52+63=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60+33=93, Resulting Numbers: [30, 52, 93] Generated Node #0,4: 84:[30, 52, 93] Operation: 60+33=93 Moving to Node #0,4 Current State: 84:[30, 52, 93], Operations: ['60+33=93'] Exploring Operation: 93-52=41, Resulting Numbers: [30, 41] Generated Node #0,4,0: 84:[30, 41] Operation: 93-52=41 Moving to Node #0,4,0 Current State: 84:[30, 41], Operations: ['60+33=93', '93-52=41'] Exploring Operation: 41-30=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,4,0 Current State: 84:[30, 41], Operations: ['60+33=93', '93-52=41'] Exploring Operation: 30+41=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,4 Current State: 84:[30, 52, 93], Operations: ['60+33=93'] Exploring Operation: 52-30=22, Resulting Numbers: [93, 22] Generated Node #0,4,1: 84:[93, 22] Operation: 52-30=22 Moving to Node #0,4,1 Current State: 84:[93, 22], Operations: ['60+33=93', '52-30=22'] Exploring Operation: 93-22=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,4,1 Current State: 84:[93, 22], Operations: ['60+33=93', '52-30=22'] Exploring Operation: 93+22=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,4 Current State: 84:[30, 52, 93], Operations: ['60+33=93'] Exploring Operation: 30+52=82, Resulting Numbers: [93, 82] Generated Node #0,4,2: 84:[93, 82] Operation: 30+52=82 Moving to Node #0,4,2 Current State: 84:[93, 82], Operations: ['60+33=93', '30+52=82'] Exploring Operation: 93-82=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,4 Current State: 84:[30, 52, 93], Operations: ['60+33=93'] Exploring Operation: 93-30=63, Resulting Numbers: [52, 63] Generated Node #0,4,3: 84:[52, 63] Operation: 93-30=63 Moving to Node #0,4,3 Current State: 84:[52, 63], Operations: ['60+33=93', '93-30=63'] Exploring Operation: 63-52=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,4,3 Current State: 84:[52, 63], Operations: ['60+33=93', '93-30=63'] Exploring Operation: 52+63=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,4 Current State: 84:[30, 52, 93], Operations: ['60+33=93'] Exploring Operation: 30+93=123, Resulting Numbers: [52, 123] Generated Node #0,4,4: 84:[52, 123] Operation: 30+93=123 Moving to Node #0,4,4 Current State: 84:[52, 123], Operations: ['60+33=93', '30+93=123'] Exploring Operation: 123-52=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,4 Current State: 84:[30, 52, 93], Operations: ['60+33=93'] Exploring Operation: 52+93=145, Resulting Numbers: [30, 145] Generated Node #0,4,5: 84:[30, 145] Operation: 52+93=145 Moving to Node #0,4,5 Current State: 84:[30, 145], Operations: ['60+33=93', '52+93=145'] Exploring Operation: 145-30=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60+30=90, Resulting Numbers: [33, 52, 90] Generated Node #0,5: 84:[33, 52, 90] Operation: 60+30=90 Moving to Node #0,5 Current State: 84:[33, 52, 90], Operations: ['60+30=90'] Exploring Operation: 33+52=85, Resulting Numbers: [90, 85] Generated Node #0,5,0: 84:[90, 85] Operation: 33+52=85 Moving to Node #0,5,0 Current State: 84:[90, 85], Operations: ['60+30=90', '33+52=85'] Exploring Operation: 90-85=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,5 Current State: 84:[33, 52, 90], Operations: ['60+30=90'] Exploring Operation: 52-33=19, Resulting Numbers: [90, 19] Generated Node #0,5,1: 84:[90, 19] Operation: 52-33=19 Moving to Node #0,5,1 Current State: 84:[90, 19], Operations: ['60+30=90', '52-33=19'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,5,1 Current State: 84:[90, 19], Operations: ['60+30=90', '52-33=19'] Exploring Operation: 90+19=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,5 Current State: 84:[33, 52, 90], Operations: ['60+30=90'] Exploring Operation: 90-52=38, Resulting Numbers: [33, 38] Generated Node #0,5,2: 84:[33, 38] Operation: 90-52=38 Moving to Node #0,5,2 Current State: 84:[33, 38], Operations: ['60+30=90', '90-52=38'] Exploring Operation: 38-33=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,5,2 Current State: 84:[33, 38], Operations: ['60+30=90', '90-52=38'] Exploring Operation: 33+38=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,5 Current State: 84:[33, 52, 90], Operations: ['60+30=90'] Exploring Operation: 90-33=57, Resulting Numbers: [52, 57] Generated Node #0,5,3: 84:[52, 57] Operation: 90-33=57 Moving to Node #0,5,3 Current State: 84:[52, 57], Operations: ['60+30=90', '90-33=57'] Exploring Operation: 57-52=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,5,3 Current State: 84:[52, 57], Operations: ['60+30=90', '90-33=57'] Exploring Operation: 52+57=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,5 Current State: 84:[33, 52, 90], Operations: ['60+30=90'] Exploring Operation: 33+90=123, Resulting Numbers: [52, 123] Generated Node #0,5,4: 84:[52, 123] Operation: 33+90=123 Moving to Node #0,5,4 Current State: 84:[52, 123], Operations: ['60+30=90', '33+90=123'] Exploring Operation: 123-52=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,5 Current State: 84:[33, 52, 90], Operations: ['60+30=90'] Exploring Operation: 52+90=142, Resulting Numbers: [33, 142] Generated Node #0,5,5: 84:[33, 142] Operation: 52+90=142 Moving to Node #0,5,5 Current State: 84:[33, 142], Operations: ['60+30=90', '52+90=142'] Exploring Operation: 142-33=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 33+52=85, Resulting Numbers: [60, 30, 85] Generated Node #0,6: 84:[60, 30, 85] Operation: 33+52=85 Moving to Node #0,6 Current State: 84:[60, 30, 85], Operations: ['33+52=85'] Exploring Operation: 60/30=2, Resulting Numbers: [85, 2] Generated Node #0,6,0: 84:[85, 2] Operation: 60/30=2 Moving to Node #0,6,0 Current State: 84:[85, 2], Operations: ['33+52=85', '60/30=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,84 unequal: No Solution Moving to Node #0,6,0 Current State: 84:[85, 2], Operations: ['33+52=85', '60/30=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,84 unequal: No Solution Moving to Node #0,6 Current State: 84:[60, 30, 85], Operations: ['33+52=85'] Exploring Operation: 60-30=30, Resulting Numbers: [85, 30] Generated Node #0,6,1: 84:[85, 30] Operation: 60-30=30 Moving to Node #0,6,1 Current State: 84:[85, 30], Operations: ['33+52=85', '60-30=30'] Exploring Operation: 85-30=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,6,1 Current State: 84:[85, 30], Operations: ['33+52=85', '60-30=30'] Exploring Operation: 85+30=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,6 Current State: 84:[60, 30, 85], Operations: ['33+52=85'] Exploring Operation: 85-60=25, Resulting Numbers: [30, 25] Generated Node #0,6,2: 84:[30, 25] Operation: 85-60=25 Moving to Node #0,6,2 Current State: 84:[30, 25], Operations: ['33+52=85', '85-60=25'] Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,6,2 Current State: 84:[30, 25], Operations: ['33+52=85', '85-60=25'] Exploring Operation: 30+25=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,6 Current State: 84:[60, 30, 85], Operations: ['33+52=85'] Exploring Operation: 60+30=90, Resulting Numbers: [85, 90] Generated Node #0,6,3: 84:[85, 90] Operation: 60+30=90 Moving to Node #0,6,3 Current State: 84:[85, 90], Operations: ['33+52=85', '60+30=90'] Exploring Operation: 90-85=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,6 Current State: 84:[60, 30, 85], Operations: ['33+52=85'] Exploring Operation: 85-30=55, Resulting Numbers: [60, 55] Generated Node #0,6,4: 84:[60, 55] Operation: 85-30=55 Moving to Node #0,6,4 Current State: 84:[60, 55], Operations: ['33+52=85', '85-30=55'] Exploring Operation: 60-55=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,6,4 Current State: 84:[60, 55], Operations: ['33+52=85', '85-30=55'] Exploring Operation: 60+55=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,6 Current State: 84:[60, 30, 85], Operations: ['33+52=85'] Exploring Operation: 30+85=115, Resulting Numbers: [60, 115] Generated Node #0,6,5: 84:[60, 115] Operation: 30+85=115 Moving to Node #0,6,5 Current State: 84:[60, 115], Operations: ['33+52=85', '30+85=115'] Exploring Operation: 115-60=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,6 Current State: 84:[60, 30, 85], Operations: ['33+52=85'] Exploring Operation: 60+85=145, Resulting Numbers: [30, 145] Generated Node #0,6,6: 84:[30, 145] Operation: 60+85=145 Moving to Node #0,6,6 Current State: 84:[30, 145], Operations: ['33+52=85', '60+85=145'] Exploring Operation: 145-30=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 52-33=19, Resulting Numbers: [60, 30, 19] Generated Node #0,7: 84:[60, 30, 19] Operation: 52-33=19 Moving to Node #0,7 Current State: 84:[60, 30, 19], Operations: ['52-33=19'] Exploring Operation: 60/30=2, Resulting Numbers: [19, 2] Generated Node #0,7,0: 84:[19, 2] Operation: 60/30=2 Moving to Node #0,7,0 Current State: 84:[19, 2], Operations: ['52-33=19', '60/30=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,84 unequal: No Solution Moving to Node #0,7,0 Current State: 84:[19, 2], Operations: ['52-33=19', '60/30=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,84 unequal: No Solution Moving to Node #0,7,0 Current State: 84:[19, 2], Operations: ['52-33=19', '60/30=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,84 unequal: No Solution Moving to Node #0,7 Current State: 84:[60, 30, 19], Operations: ['52-33=19'] Exploring Operation: 60-19=41, Resulting Numbers: [30, 41] Generated Node #0,7,1: 84:[30, 41] Operation: 60-19=41 Moving to Node #0,7,1 Current State: 84:[30, 41], Operations: ['52-33=19', '60-19=41'] Exploring Operation: 41-30=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,7,1 Current State: 84:[30, 41], Operations: ['52-33=19', '60-19=41'] Exploring Operation: 30+41=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,7 Current State: 84:[60, 30, 19], Operations: ['52-33=19'] Exploring Operation: 60-30=30, Resulting Numbers: [19, 30] Generated Node #0,7,2: 84:[19, 30] Operation: 60-30=30 Moving to Node #0,7,2 Current State: 84:[19, 30], Operations: ['52-33=19', '60-30=30'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,7,2 Current State: 84:[19, 30], Operations: ['52-33=19', '60-30=30'] Exploring Operation: 19+30=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,7 Current State: 84:[60, 30, 19], Operations: ['52-33=19'] Exploring Operation: 60+19=79, Resulting Numbers: [30, 79] Generated Node #0,7,3: 84:[30, 79] Operation: 60+19=79 Moving to Node #0,7,3 Current State: 84:[30, 79], Operations: ['52-33=19', '60+19=79'] Exploring Operation: 79-30=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,7,3 Current State: 84:[30, 79], Operations: ['52-33=19', '60+19=79'] Exploring Operation: 30+79=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,7 Current State: 84:[60, 30, 19], Operations: ['52-33=19'] Exploring Operation: 60+30=90, Resulting Numbers: [19, 90] Generated Node #0,7,4: 84:[19, 90] Operation: 60+30=90 Moving to Node #0,7,4 Current State: 84:[19, 90], Operations: ['52-33=19', '60+30=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,7,4 Current State: 84:[19, 90], Operations: ['52-33=19', '60+30=90'] Exploring Operation: 19+90=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,7 Current State: 84:[60, 30, 19], Operations: ['52-33=19'] Exploring Operation: 30-19=11, Resulting Numbers: [60, 11] Generated Node #0,7,5: 84:[60, 11] Operation: 30-19=11 Moving to Node #0,7,5 Current State: 84:[60, 11], Operations: ['52-33=19', '30-19=11'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,7,5 Current State: 84:[60, 11], Operations: ['52-33=19', '30-19=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,7 Current State: 84:[60, 30, 19], Operations: ['52-33=19'] Exploring Operation: 30+19=49, Resulting Numbers: [60, 49] Generated Node #0,7,6: 84:[60, 49] Operation: 30+19=49 Moving to Node #0,7,6 Current State: 84:[60, 49], Operations: ['52-33=19', '30+19=49'] Exploring Operation: 60-49=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,7,6 Current State: 84:[60, 49], Operations: ['52-33=19', '30+19=49'] Exploring Operation: 60+49=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 52-30=22, Resulting Numbers: [60, 33, 22] Generated Node #0,8: 84:[60, 33, 22] Operation: 52-30=22 Moving to Node #0,8 Current State: 84:[60, 33, 22], Operations: ['52-30=22'] Exploring Operation: 60-33=27, Resulting Numbers: [22, 27] Generated Node #0,8,0: 84:[22, 27] Operation: 60-33=27 Moving to Node #0,8,0 Current State: 84:[22, 27], Operations: ['52-30=22', '60-33=27'] Exploring Operation: 27-22=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,8,0 Current State: 84:[22, 27], Operations: ['52-30=22', '60-33=27'] Exploring Operation: 22+27=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,8 Current State: 84:[60, 33, 22], Operations: ['52-30=22'] Exploring Operation: 60+22=82, Resulting Numbers: [33, 82] Generated Node #0,8,1: 84:[33, 82] Operation: 60+22=82 Moving to Node #0,8,1 Current State: 84:[33, 82], Operations: ['52-30=22', '60+22=82'] Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,8,1 Current State: 84:[33, 82], Operations: ['52-30=22', '60+22=82'] Exploring Operation: 33+82=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,8 Current State: 84:[60, 33, 22], Operations: ['52-30=22'] Exploring Operation: 60-22=38, Resulting Numbers: [33, 38] Generated Node #0,8,2: 84:[33, 38] Operation: 60-22=38 Moving to Node #0,8,2 Current State: 84:[33, 38], Operations: ['52-30=22', '60-22=38'] Exploring Operation: 38-33=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,8,2 Current State: 84:[33, 38], Operations: ['52-30=22', '60-22=38'] Exploring Operation: 33+38=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,8 Current State: 84:[60, 33, 22], Operations: ['52-30=22'] Exploring Operation: 60+33=93, Resulting Numbers: [22, 93] Generated Node #0,8,3: 84:[22, 93] Operation: 60+33=93 Moving to Node #0,8,3 Current State: 84:[22, 93], Operations: ['52-30=22', '60+33=93'] Exploring Operation: 93-22=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,8,3 Current State: 84:[22, 93], Operations: ['52-30=22', '60+33=93'] Exploring Operation: 22+93=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,8 Current State: 84:[60, 33, 22], Operations: ['52-30=22'] Exploring Operation: 33-22=11, Resulting Numbers: [60, 11] Generated Node #0,8,4: 84:[60, 11] Operation: 33-22=11 Moving to Node #0,8,4 Current State: 84:[60, 11], Operations: ['52-30=22', '33-22=11'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,8,4 Current State: 84:[60, 11], Operations: ['52-30=22', '33-22=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,8 Current State: 84:[60, 33, 22], Operations: ['52-30=22'] Exploring Operation: 33+22=55, Resulting Numbers: [60, 55] Generated Node #0,8,5: 84:[60, 55] Operation: 33+22=55 Moving to Node #0,8,5 Current State: 84:[60, 55], Operations: ['52-30=22', '33+22=55'] Exploring Operation: 60-55=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,8,5 Current State: 84:[60, 55], Operations: ['52-30=22', '33+22=55'] Exploring Operation: 60+55=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 30+52=82, Resulting Numbers: [60, 33, 82] Generated Node #0,9: 84:[60, 33, 82] Operation: 30+52=82 Moving to Node #0,9 Current State: 84:[60, 33, 82], Operations: ['30+52=82'] Exploring Operation: 60-33=27, Resulting Numbers: [82, 27] Generated Node #0,9,0: 84:[82, 27] Operation: 60-33=27 Moving to Node #0,9,0 Current State: 84:[82, 27], Operations: ['30+52=82', '60-33=27'] Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,9,0 Current State: 84:[82, 27], Operations: ['30+52=82', '60-33=27'] Exploring Operation: 82+27=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,9 Current State: 84:[60, 33, 82], Operations: ['30+52=82'] Exploring Operation: 82-60=22, Resulting Numbers: [33, 22] Generated Node #0,9,1: 84:[33, 22] Operation: 82-60=22 Moving to Node #0,9,1 Current State: 84:[33, 22], Operations: ['30+52=82', '82-60=22'] Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,9,1 Current State: 84:[33, 22], Operations: ['30+52=82', '82-60=22'] Exploring Operation: 33+22=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,9 Current State: 84:[60, 33, 82], Operations: ['30+52=82'] Exploring Operation: 60+33=93, Resulting Numbers: [82, 93] Generated Node #0,9,2: 84:[82, 93] Operation: 60+33=93 Moving to Node #0,9,2 Current State: 84:[82, 93], Operations: ['30+52=82', '60+33=93'] Exploring Operation: 93-82=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,9 Current State: 84:[60, 33, 82], Operations: ['30+52=82'] Exploring Operation: 82-33=49, Resulting Numbers: [60, 49] Generated Node #0,9,3: 84:[60, 49] Operation: 82-33=49 Moving to Node #0,9,3 Current State: 84:[60, 49], Operations: ['30+52=82', '82-33=49'] Exploring Operation: 60-49=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,9,3 Current State: 84:[60, 49], Operations: ['30+52=82', '82-33=49'] Exploring Operation: 60+49=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,9 Current State: 84:[60, 33, 82], Operations: ['30+52=82'] Exploring Operation: 33+82=115, Resulting Numbers: [60, 115] Generated Node #0,9,4: 84:[60, 115] Operation: 33+82=115 Moving to Node #0,9,4 Current State: 84:[60, 115], Operations: ['30+52=82', '33+82=115'] Exploring Operation: 115-60=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,9 Current State: 84:[60, 33, 82], Operations: ['30+52=82'] Exploring Operation: 60+82=142, Resulting Numbers: [33, 142] Generated Node #0,9,5: 84:[33, 142] Operation: 60+82=142 Moving to Node #0,9,5 Current State: 84:[33, 142], Operations: ['30+52=82', '60+82=142'] Exploring Operation: 142-33=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [60, 52, 3] Generated Node #0,10: 84:[60, 52, 3] Operation: 33-30=3 Moving to Node #0,10 Current State: 84:[60, 52, 3], Operations: ['33-30=3'] Exploring Operation: 60-52=8, Resulting Numbers: [3, 8] Generated Node #0,10,0: 84:[3, 8] Operation: 60-52=8 Moving to Node #0,10,0 Current State: 84:[3, 8], Operations: ['33-30=3', '60-52=8'] Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,10,0 Current State: 84:[3, 8], Operations: ['33-30=3', '60-52=8'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,10,0 Current State: 84:[3, 8], Operations: ['33-30=3', '60-52=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,84 unequal: No Solution Moving to Node #0,10 Current State: 84:[60, 52, 3], Operations: ['33-30=3'] Exploring Operation: 60/3=20, Resulting Numbers: [52, 20] Generated Node #0,10,1: 84:[52, 20] Operation: 60/3=20 Moving to Node #0,10,1 Current State: 84:[52, 20], Operations: ['33-30=3', '60/3=20'] Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,84 unequal: No Solution Moving to Node #0,10,1 Current State: 84:[52, 20], Operations: ['33-30=3', '60/3=20'] Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,84 unequal: No Solution Moving to Node #0,10 Current State: 84:[60, 52, 3], Operations: ['33-30=3'] Exploring Operation: 60-3=57, Resulting Numbers: [52, 57] Generated Node #0,10,2: 84:[52, 57] Operation: 60-3=57 Moving to Node #0,10,2 Current State: 84:[52, 57], Operations: ['33-30=3', '60-3=57'] Exploring Operation: 57-52=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,10,2 Current State: 84:[52, 57], Operations: ['33-30=3', '60-3=57'] Exploring Operation: 52+57=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,10 Current State: 84:[60, 52, 3], Operations: ['33-30=3'] Exploring Operation: 52-3=49, Resulting Numbers: [60, 49] Generated Node #0,10,3: 84:[60, 49] Operation: 52-3=49 Moving to Node #0,10,3 Current State: 84:[60, 49], Operations: ['33-30=3', '52-3=49'] Exploring Operation: 60-49=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,10,3 Current State: 84:[60, 49], Operations: ['33-30=3', '52-3=49'] Exploring Operation: 60+49=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,10 Current State: 84:[60, 52, 3], Operations: ['33-30=3'] Exploring Operation: 60+52=112, Resulting Numbers: [3, 112] Generated Node #0,10,4: 84:[3, 112] Operation: 60+52=112 Moving to Node #0,10,4 Current State: 84:[3, 112], Operations: ['33-30=3', '60+52=112'] Exploring Operation: 112-3=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,10,4 Current State: 84:[3, 112], Operations: ['33-30=3', '60+52=112'] Exploring Operation: 3+112=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,10 Current State: 84:[60, 52, 3], Operations: ['33-30=3'] Exploring Operation: 60+3=63, Resulting Numbers: [52, 63] Generated Node #0,10,5: 84:[52, 63] Operation: 60+3=63 Moving to Node #0,10,5 Current State: 84:[52, 63], Operations: ['33-30=3', '60+3=63'] Exploring Operation: 63-52=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,10,5 Current State: 84:[52, 63], Operations: ['33-30=3', '60+3=63'] Exploring Operation: 52+63=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,10 Current State: 84:[60, 52, 3], Operations: ['33-30=3'] Exploring Operation: 52+3=55, Resulting Numbers: [60, 55] Generated Node #0,10,6: 84:[60, 55] Operation: 52+3=55 Moving to Node #0,10,6 Current State: 84:[60, 55], Operations: ['33-30=3', '52+3=55'] Exploring Operation: 60-55=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,10,6 Current State: 84:[60, 55], Operations: ['33-30=3', '52+3=55'] Exploring Operation: 60+55=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60+52=112, Resulting Numbers: [33, 30, 112] Generated Node #0,11: 84:[33, 30, 112] Operation: 60+52=112 Moving to Node #0,11 Current State: 84:[33, 30, 112], Operations: ['60+52=112'] Exploring Operation: 112-33=79, Resulting Numbers: [30, 79] Generated Node #0,11,0: 84:[30, 79] Operation: 112-33=79 Moving to Node #0,11,0 Current State: 84:[30, 79], Operations: ['60+52=112', '112-33=79'] Exploring Operation: 79-30=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,11,0 Current State: 84:[30, 79], Operations: ['60+52=112', '112-33=79'] Exploring Operation: 30+79=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,11 Current State: 84:[33, 30, 112], Operations: ['60+52=112'] Exploring Operation: 112-30=82, Resulting Numbers: [33, 82] Generated Node #0,11,1: 84:[33, 82] Operation: 112-30=82 Moving to Node #0,11,1 Current State: 84:[33, 82], Operations: ['60+52=112', '112-30=82'] Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,11,1 Current State: 84:[33, 82], Operations: ['60+52=112', '112-30=82'] Exploring Operation: 33+82=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,11 Current State: 84:[33, 30, 112], Operations: ['60+52=112'] Exploring Operation: 33-30=3, Resulting Numbers: [112, 3] Generated Node #0,11,2: 84:[112, 3] Operation: 33-30=3 Moving to Node #0,11,2 Current State: 84:[112, 3], Operations: ['60+52=112', '33-30=3'] Exploring Operation: 112-3=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0,11,2 Current State: 84:[112, 3], Operations: ['60+52=112', '33-30=3'] Exploring Operation: 112+3=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,11 Current State: 84:[33, 30, 112], Operations: ['60+52=112'] Exploring Operation: 33+30=63, Resulting Numbers: [112, 63] Generated Node #0,11,3: 84:[112, 63] Operation: 33+30=63 Moving to Node #0,11,3 Current State: 84:[112, 63], Operations: ['60+52=112', '33+30=63'] Exploring Operation: 112-63=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,11 Current State: 84:[33, 30, 112], Operations: ['60+52=112'] Exploring Operation: 33+112=145, Resulting Numbers: [30, 145] Generated Node #0,11,4: 84:[30, 145] Operation: 33+112=145 Moving to Node #0,11,4 Current State: 84:[30, 145], Operations: ['60+52=112', '33+112=145'] Exploring Operation: 145-30=115, Resulting Numbers: [115] 115,84 unequal: No Solution Moving to Node #0,11 Current State: 84:[33, 30, 112], Operations: ['60+52=112'] Exploring Operation: 30+112=142, Resulting Numbers: [33, 142] Generated Node #0,11,5: 84:[33, 142] Operation: 30+112=142 Moving to Node #0,11,5 Current State: 84:[33, 142], Operations: ['60+52=112', '30+112=142'] Exploring Operation: 142-33=109, Resulting Numbers: [109] 109,84 unequal: No Solution Moving to Node #0 Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 33+30=63, Resulting Numbers: [60, 52, 63] Generated Node #0,12: 84:[60, 52, 63] Operation: 33+30=63 Moving to Node #0,12 Current State: 84:[60, 52, 63], Operations: ['33+30=63'] Exploring Operation: 63-60=3, Resulting Numbers: [52, 3] Generated Node #0,12,0: 84:[52, 3] Operation: 63-60=3 Moving to Node #0,12,0 Current State: 84:[52, 3], Operations: ['33+30=63', '63-60=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,12,0 Current State: 84:[52, 3], Operations: ['33+30=63', '63-60=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,12,0 Current State: 84:[52, 3], Operations: ['33+30=63', '63-60=3'] Exploring Operation: 52*3=156, Resulting Numbers: [156] 156,84 unequal: No Solution Moving to Node #0,12 Current State: 84:[60, 52, 63], Operations: ['33+30=63'] Exploring Operation: 63-52=11, Resulting Numbers: [60, 11] Generated Node #0,12,1: 84:[60, 11] Operation: 63-52=11 Moving to Node #0,12,1 Current State: 84:[60, 11], Operations: ['33+30=63', '63-52=11'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,12,1 Current State: 84:[60, 11], Operations: ['33+30=63', '63-52=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,12 Current State: 84:[60, 52, 63], Operations: ['33+30=63'] Exploring Operation: 60-52=8, Resulting Numbers: [63, 8] Generated Node #0,12,2: 84:[63, 8] Operation: 60-52=8 Moving to Node #0,12,2 Current State: 84:[63, 8], Operations: ['33+30=63', '60-52=8'] Exploring Operation: 63+8=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,12,2 Current State: 84:[63, 8], Operations: ['33+30=63', '60-52=8'] Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,84 unequal: No Solution Moving to Node #0,12 Current State: 84:[60, 52, 63], Operations: ['33+30=63'] Exploring Operation: 60+52=112, Resulting Numbers: [63, 112] Generated Node #0,12,3: 84:[63, 112] Operation: 60+52=112 Moving to Node #0,12,3 Current State: 84:[63, 112], Operations: ['33+30=63', '60+52=112'] Exploring Operation: 112-63=49, Resulting Numbers: [49] 49,84 unequal: No Solution Moving to Node #0,12 Current State: 84:[60, 52, 63], Operations: ['33+30=63'] Exploring Operation: 60+63=123, Resulting Numbers: [52, 123] Generated Node #0,12,4: 84:[52, 123] Operation: 60+63=123 Moving to Node #0,12,4 Current State: 84:[52, 123], Operations: ['33+30=63', '60+63=123'] Exploring Operation: 123-52=71, Resulting Numbers: [71] 71,84 unequal: No Solution Moving to Node #0,12 Current State: 84:[60, 52, 63], Operations: ['33+30=63'] Exploring Operation: 52+63=115, Resulting Numbers: [60, 115] Generated Node #0,12,5: 84:[60, 115] Operation: 52+63=115 Moving to Node #0,12,5 Current State: 84:[60, 115], Operations: ['33+30=63', '52+63=115'] Exploring Operation: 115-60=55, Resulting Numbers: [55] 55,84 unequal: No Solution
0
dfs
Current State: 84:[60, 33, 30, 52], Operations: [] Exploring Operation: 60*30=1800, Resulting Numbers: [33, 52, 1800] Generated Node #2: [33, 52, 1800] from Operation: 60*30=1800 Current State: 84:[33, 52, 1800], Operations: ['60*30=1800'] Exploring Operation: 33*52=1716, Resulting Numbers: [1800, 1716] Generated Node #3: [1800, 1716] from Operation: 33*52=1716 Current State: 84:[1800, 1716], Operations: ['60*30=1800', '33*52=1716'] Exploring Operation: 1800-1716=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
mult_heuristic
[ { "content": "Make 84 with the numbers [60, 33, 30, 52] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 60-52=8, Resulting Numbers: [33, 30, 8]\nGenerated Node #0,0: 84:[33, 30, 8] Operation: 60-52=8\nMoving to Node #0,0\nCurrent State: 84:[33, 30, 8], Operations: ['60-52=8']\nExploring Operation: 33-30=3, Resulting Numbers: [8, 3]\nGenerated Node #0,0,0: 84:[8, 3] Operation: 33-30=3\nMoving to Node #0,0,0\nCurrent State: 84:[8, 3], Operations: ['60-52=8', '33-30=3']\nExploring Operation: 8+3=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 84:[8, 3], Operations: ['60-52=8', '33-30=3']\nExploring Operation: 8-3=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 84:[8, 3], Operations: ['60-52=8', '33-30=3']\nExploring Operation: 8*3=24, Resulting Numbers: [24]\n24,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[33, 30, 8], Operations: ['60-52=8']\nExploring Operation: 33+8=41, Resulting Numbers: [30, 41]\nGenerated Node #0,0,1: 84:[30, 41] Operation: 33+8=41\nMoving to Node #0,0,1\nCurrent State: 84:[30, 41], Operations: ['60-52=8', '33+8=41']\nExploring Operation: 41-30=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 84:[30, 41], Operations: ['60-52=8', '33+8=41']\nExploring Operation: 30+41=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[33, 30, 8], Operations: ['60-52=8']\nExploring Operation: 33-8=25, Resulting Numbers: [30, 25]\nGenerated Node #0,0,2: 84:[30, 25] Operation: 33-8=25\nMoving to Node #0,0,2\nCurrent State: 84:[30, 25], Operations: ['60-52=8', '33-8=25']\nExploring Operation: 30-25=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 84:[30, 25], Operations: ['60-52=8', '33-8=25']\nExploring Operation: 30+25=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[33, 30, 8], Operations: ['60-52=8']\nExploring Operation: 30-8=22, Resulting Numbers: [33, 22]\nGenerated Node #0,0,3: 84:[33, 22] Operation: 30-8=22\nMoving to Node #0,0,3\nCurrent State: 84:[33, 22], Operations: ['60-52=8', '30-8=22']\nExploring Operation: 33-22=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 84:[33, 22], Operations: ['60-52=8', '30-8=22']\nExploring Operation: 33+22=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[33, 30, 8], Operations: ['60-52=8']\nExploring Operation: 30+8=38, Resulting Numbers: [33, 38]\nGenerated Node #0,0,4: 84:[33, 38] Operation: 30+8=38\nMoving to Node #0,0,4\nCurrent State: 84:[33, 38], Operations: ['60-52=8', '30+8=38']\nExploring Operation: 38-33=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 84:[33, 38], Operations: ['60-52=8', '30+8=38']\nExploring Operation: 33+38=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[33, 30, 8], Operations: ['60-52=8']\nExploring Operation: 33+30=63, Resulting Numbers: [8, 63]\nGenerated Node #0,0,5: 84:[8, 63] Operation: 33+30=63\nMoving to Node #0,0,5\nCurrent State: 84:[8, 63], Operations: ['60-52=8', '33+30=63']\nExploring Operation: 8+63=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 84:[8, 63], Operations: ['60-52=8', '33+30=63']\nExploring Operation: 63-8=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 60-33=27, Resulting Numbers: [30, 52, 27]\nGenerated Node #0,1: 84:[30, 52, 27] Operation: 60-33=27\nMoving to Node #0,1\nCurrent State: 84:[30, 52, 27], Operations: ['60-33=27']\nExploring Operation: 52-30=22, Resulting Numbers: [27, 22]\nGenerated Node #0,1,0: 84:[27, 22] Operation: 52-30=22\nMoving to Node #0,1,0\nCurrent State: 84:[27, 22], Operations: ['60-33=27', '52-30=22']\nExploring Operation: 27-22=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 84:[27, 22], Operations: ['60-33=27', '52-30=22']\nExploring Operation: 27+22=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[30, 52, 27], Operations: ['60-33=27']\nExploring Operation: 30+52=82, Resulting Numbers: [27, 82]\nGenerated Node #0,1,1: 84:[27, 82] Operation: 30+52=82\nMoving to Node #0,1,1\nCurrent State: 84:[27, 82], Operations: ['60-33=27', '30+52=82']\nExploring Operation: 82-27=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 84:[27, 82], Operations: ['60-33=27', '30+52=82']\nExploring Operation: 27+82=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[30, 52, 27], Operations: ['60-33=27']\nExploring Operation: 52-27=25, Resulting Numbers: [30, 25]\nGenerated Node #0,1,2: 84:[30, 25] Operation: 52-27=25\nMoving to Node #0,1,2\nCurrent State: 84:[30, 25], Operations: ['60-33=27', '52-27=25']\nExploring Operation: 30-25=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 84:[30, 25], Operations: ['60-33=27', '52-27=25']\nExploring Operation: 30+25=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[30, 52, 27], Operations: ['60-33=27']\nExploring Operation: 52+27=79, Resulting Numbers: [30, 79]\nGenerated Node #0,1,3: 84:[30, 79] Operation: 52+27=79\nMoving to Node #0,1,3\nCurrent State: 84:[30, 79], Operations: ['60-33=27', '52+27=79']\nExploring Operation: 79-30=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 84:[30, 79], Operations: ['60-33=27', '52+27=79']\nExploring Operation: 30+79=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[30, 52, 27], Operations: ['60-33=27']\nExploring Operation: 30-27=3, Resulting Numbers: [52, 3]\nGenerated Node #0,1,4: 84:[52, 3] Operation: 30-27=3\nMoving to Node #0,1,4\nCurrent State: 84:[52, 3], Operations: ['60-33=27', '30-27=3']\nExploring Operation: 52-3=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 84:[52, 3], Operations: ['60-33=27', '30-27=3']\nExploring Operation: 52+3=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 84:[52, 3], Operations: ['60-33=27', '30-27=3']\nExploring Operation: 52*3=156, Resulting Numbers: [156]\n156,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[30, 52, 27], Operations: ['60-33=27']\nExploring Operation: 30+27=57, Resulting Numbers: [52, 57]\nGenerated Node #0,1,5: 84:[52, 57] Operation: 30+27=57\nMoving to Node #0,1,5\nCurrent State: 84:[52, 57], Operations: ['60-33=27', '30+27=57']\nExploring Operation: 57-52=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 84:[52, 57], Operations: ['60-33=27', '30+27=57']\nExploring Operation: 52+57=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 60/30=2, Resulting Numbers: [33, 52, 2]\nGenerated Node #0,2: 84:[33, 52, 2] Operation: 60/30=2\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 33+52=85, Resulting Numbers: [2, 85]\nGenerated Node #0,2,0: 84:[2, 85] Operation: 33+52=85\nMoving to Node #0,2,0\nCurrent State: 84:[2, 85], Operations: ['60/30=2', '33+52=85']\nExploring Operation: 85-2=83, Resulting Numbers: [83]\n83,84 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 84:[2, 85], Operations: ['60/30=2', '33+52=85']\nExploring Operation: 2+85=87, Resulting Numbers: [87]\n87,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 52-33=19, Resulting Numbers: [2, 19]\nGenerated Node #0,2,1: 84:[2, 19] Operation: 52-33=19\nMoving to Node #0,2,1\nCurrent State: 84:[2, 19], Operations: ['60/30=2', '52-33=19']\nExploring Operation: 2+19=21, Resulting Numbers: [21]\n21,84 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 84:[2, 19], Operations: ['60/30=2', '52-33=19']\nExploring Operation: 19-2=17, Resulting Numbers: [17]\n17,84 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 84:[2, 19], Operations: ['60/30=2', '52-33=19']\nExploring Operation: 2*19=38, Resulting Numbers: [38]\n38,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 52/2=26, Resulting Numbers: [33, 26]\nGenerated Node #0,2,2: 84:[33, 26] Operation: 52/2=26\nMoving to Node #0,2,2\nCurrent State: 84:[33, 26], Operations: ['60/30=2', '52/2=26']\nExploring Operation: 33-26=7, Resulting Numbers: [7]\n7,84 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 84:[33, 26], Operations: ['60/30=2', '52/2=26']\nExploring Operation: 33+26=59, Resulting Numbers: [59]\n59,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 33-2=31, Resulting Numbers: [52, 31]\nGenerated Node #0,2,3: 84:[52, 31] Operation: 33-2=31\nMoving to Node #0,2,3\nCurrent State: 84:[52, 31], Operations: ['60/30=2', '33-2=31']\nExploring Operation: 52-31=21, Resulting Numbers: [21]\n21,84 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 84:[52, 31], Operations: ['60/30=2', '33-2=31']\nExploring Operation: 52+31=83, Resulting Numbers: [83]\n83,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 52-2=50, Resulting Numbers: [33, 50]\nGenerated Node #0,2,4: 84:[33, 50] Operation: 52-2=50\nMoving to Node #0,2,4\nCurrent State: 84:[33, 50], Operations: ['60/30=2', '52-2=50']\nExploring Operation: 33+50=83, Resulting Numbers: [83]\n83,84 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 84:[33, 50], Operations: ['60/30=2', '52-2=50']\nExploring Operation: 50-33=17, Resulting Numbers: [17]\n17,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 33+2=35, Resulting Numbers: [52, 35]\nGenerated Node #0,2,5: 84:[52, 35] Operation: 33+2=35\nMoving to Node #0,2,5\nCurrent State: 84:[52, 35], Operations: ['60/30=2', '33+2=35']\nExploring Operation: 52+35=87, Resulting Numbers: [87]\n87,84 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 84:[52, 35], Operations: ['60/30=2', '33+2=35']\nExploring Operation: 52-35=17, Resulting Numbers: [17]\n17,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 52+2=54, Resulting Numbers: [33, 54]\nGenerated Node #0,2,6: 84:[33, 54] Operation: 52+2=54\nMoving to Node #0,2,6\nCurrent State: 84:[33, 54], Operations: ['60/30=2', '52+2=54']\nExploring Operation: 54-33=21, Resulting Numbers: [21]\n21,84 unequal: No Solution\nMoving to Node #0,2,6\nCurrent State: 84:[33, 54], Operations: ['60/30=2', '52+2=54']\nExploring Operation: 33+54=87, Resulting Numbers: [87]\n87,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 52*2=104, Resulting Numbers: [33, 104]\nGenerated Node #0,2,7: 84:[33, 104] Operation: 52*2=104\nMoving to Node #0,2,7\nCurrent State: 84:[33, 104], Operations: ['60/30=2', '52*2=104']\nExploring Operation: 104-33=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,2,7\nCurrent State: 84:[33, 104], Operations: ['60/30=2', '52*2=104']\nExploring Operation: 33+104=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[33, 52, 2], Operations: ['60/30=2']\nExploring Operation: 33*2=66, Resulting Numbers: [52, 66]\nGenerated Node #0,2,8: 84:[52, 66] Operation: 33*2=66\nMoving to Node #0,2,8\nCurrent State: 84:[52, 66], Operations: ['60/30=2', '33*2=66']\nExploring Operation: 66-52=14, Resulting Numbers: [14]\n14,84 unequal: No Solution\nMoving to Node #0,2,8\nCurrent State: 84:[52, 66], Operations: ['60/30=2', '33*2=66']\nExploring Operation: 52+66=118, Resulting Numbers: [118]\n118,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 60-30=30, Resulting Numbers: [33, 52, 30]\nGenerated Node #0,3: 84:[33, 52, 30] Operation: 60-30=30\nMoving to Node #0,3\nCurrent State: 84:[33, 52, 30], Operations: ['60-30=30']\nExploring Operation: 33+52=85, Resulting Numbers: [30, 85]\nGenerated Node #0,3,0: 84:[30, 85] Operation: 33+52=85\nMoving to Node #0,3,0\nCurrent State: 84:[30, 85], Operations: ['60-30=30', '33+52=85']\nExploring Operation: 85-30=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 84:[30, 85], Operations: ['60-30=30', '33+52=85']\nExploring Operation: 30+85=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[33, 52, 30], Operations: ['60-30=30']\nExploring Operation: 52-33=19, Resulting Numbers: [30, 19]\nGenerated Node #0,3,1: 84:[30, 19] Operation: 52-33=19\nMoving to Node #0,3,1\nCurrent State: 84:[30, 19], Operations: ['60-30=30', '52-33=19']\nExploring Operation: 30-19=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 84:[30, 19], Operations: ['60-30=30', '52-33=19']\nExploring Operation: 30+19=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[33, 52, 30], Operations: ['60-30=30']\nExploring Operation: 52-30=22, Resulting Numbers: [33, 22]\nGenerated Node #0,3,2: 84:[33, 22] Operation: 52-30=22\nMoving to Node #0,3,2\nCurrent State: 84:[33, 22], Operations: ['60-30=30', '52-30=22']\nExploring Operation: 33-22=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 84:[33, 22], Operations: ['60-30=30', '52-30=22']\nExploring Operation: 33+22=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[33, 52, 30], Operations: ['60-30=30']\nExploring Operation: 52+30=82, Resulting Numbers: [33, 82]\nGenerated Node #0,3,3: 84:[33, 82] Operation: 52+30=82\nMoving to Node #0,3,3\nCurrent State: 84:[33, 82], Operations: ['60-30=30', '52+30=82']\nExploring Operation: 82-33=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 84:[33, 82], Operations: ['60-30=30', '52+30=82']\nExploring Operation: 33+82=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[33, 52, 30], Operations: ['60-30=30']\nExploring Operation: 33-30=3, Resulting Numbers: [52, 3]\nGenerated Node #0,3,4: 84:[52, 3] Operation: 33-30=3\nMoving to Node #0,3,4\nCurrent State: 84:[52, 3], Operations: ['60-30=30', '33-30=3']\nExploring Operation: 52-3=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 84:[52, 3], Operations: ['60-30=30', '33-30=3']\nExploring Operation: 52+3=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 84:[52, 3], Operations: ['60-30=30', '33-30=3']\nExploring Operation: 52*3=156, Resulting Numbers: [156]\n156,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[33, 52, 30], Operations: ['60-30=30']\nExploring Operation: 33+30=63, Resulting Numbers: [52, 63]\nGenerated Node #0,3,5: 84:[52, 63] Operation: 33+30=63\nMoving to Node #0,3,5\nCurrent State: 84:[52, 63], Operations: ['60-30=30', '33+30=63']\nExploring Operation: 63-52=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 84:[52, 63], Operations: ['60-30=30', '33+30=63']\nExploring Operation: 52+63=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 60+33=93, Resulting Numbers: [30, 52, 93]\nGenerated Node #0,4: 84:[30, 52, 93] Operation: 60+33=93\nMoving to Node #0,4\nCurrent State: 84:[30, 52, 93], Operations: ['60+33=93']\nExploring Operation: 93-52=41, Resulting Numbers: [30, 41]\nGenerated Node #0,4,0: 84:[30, 41] Operation: 93-52=41\nMoving to Node #0,4,0\nCurrent State: 84:[30, 41], Operations: ['60+33=93', '93-52=41']\nExploring Operation: 41-30=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 84:[30, 41], Operations: ['60+33=93', '93-52=41']\nExploring Operation: 30+41=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[30, 52, 93], Operations: ['60+33=93']\nExploring Operation: 52-30=22, Resulting Numbers: [93, 22]\nGenerated Node #0,4,1: 84:[93, 22] Operation: 52-30=22\nMoving to Node #0,4,1\nCurrent State: 84:[93, 22], Operations: ['60+33=93', '52-30=22']\nExploring Operation: 93-22=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 84:[93, 22], Operations: ['60+33=93', '52-30=22']\nExploring Operation: 93+22=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[30, 52, 93], Operations: ['60+33=93']\nExploring Operation: 30+52=82, Resulting Numbers: [93, 82]\nGenerated Node #0,4,2: 84:[93, 82] Operation: 30+52=82\nMoving to Node #0,4,2\nCurrent State: 84:[93, 82], Operations: ['60+33=93', '30+52=82']\nExploring Operation: 93-82=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[30, 52, 93], Operations: ['60+33=93']\nExploring Operation: 93-30=63, Resulting Numbers: [52, 63]\nGenerated Node #0,4,3: 84:[52, 63] Operation: 93-30=63\nMoving to Node #0,4,3\nCurrent State: 84:[52, 63], Operations: ['60+33=93', '93-30=63']\nExploring Operation: 63-52=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 84:[52, 63], Operations: ['60+33=93', '93-30=63']\nExploring Operation: 52+63=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[30, 52, 93], Operations: ['60+33=93']\nExploring Operation: 30+93=123, Resulting Numbers: [52, 123]\nGenerated Node #0,4,4: 84:[52, 123] Operation: 30+93=123\nMoving to Node #0,4,4\nCurrent State: 84:[52, 123], Operations: ['60+33=93', '30+93=123']\nExploring Operation: 123-52=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[30, 52, 93], Operations: ['60+33=93']\nExploring Operation: 52+93=145, Resulting Numbers: [30, 145]\nGenerated Node #0,4,5: 84:[30, 145] Operation: 52+93=145\nMoving to Node #0,4,5\nCurrent State: 84:[30, 145], Operations: ['60+33=93', '52+93=145']\nExploring Operation: 145-30=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 60+30=90, Resulting Numbers: [33, 52, 90]\nGenerated Node #0,5: 84:[33, 52, 90] Operation: 60+30=90\nMoving to Node #0,5\nCurrent State: 84:[33, 52, 90], Operations: ['60+30=90']\nExploring Operation: 33+52=85, Resulting Numbers: [90, 85]\nGenerated Node #0,5,0: 84:[90, 85] Operation: 33+52=85\nMoving to Node #0,5,0\nCurrent State: 84:[90, 85], Operations: ['60+30=90', '33+52=85']\nExploring Operation: 90-85=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[33, 52, 90], Operations: ['60+30=90']\nExploring Operation: 52-33=19, Resulting Numbers: [90, 19]\nGenerated Node #0,5,1: 84:[90, 19] Operation: 52-33=19\nMoving to Node #0,5,1\nCurrent State: 84:[90, 19], Operations: ['60+30=90', '52-33=19']\nExploring Operation: 90-19=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 84:[90, 19], Operations: ['60+30=90', '52-33=19']\nExploring Operation: 90+19=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[33, 52, 90], Operations: ['60+30=90']\nExploring Operation: 90-52=38, Resulting Numbers: [33, 38]\nGenerated Node #0,5,2: 84:[33, 38] Operation: 90-52=38\nMoving to Node #0,5,2\nCurrent State: 84:[33, 38], Operations: ['60+30=90', '90-52=38']\nExploring Operation: 38-33=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 84:[33, 38], Operations: ['60+30=90', '90-52=38']\nExploring Operation: 33+38=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[33, 52, 90], Operations: ['60+30=90']\nExploring Operation: 90-33=57, Resulting Numbers: [52, 57]\nGenerated Node #0,5,3: 84:[52, 57] Operation: 90-33=57\nMoving to Node #0,5,3\nCurrent State: 84:[52, 57], Operations: ['60+30=90', '90-33=57']\nExploring Operation: 57-52=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 84:[52, 57], Operations: ['60+30=90', '90-33=57']\nExploring Operation: 52+57=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[33, 52, 90], Operations: ['60+30=90']\nExploring Operation: 33+90=123, Resulting Numbers: [52, 123]\nGenerated Node #0,5,4: 84:[52, 123] Operation: 33+90=123\nMoving to Node #0,5,4\nCurrent State: 84:[52, 123], Operations: ['60+30=90', '33+90=123']\nExploring Operation: 123-52=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[33, 52, 90], Operations: ['60+30=90']\nExploring Operation: 52+90=142, Resulting Numbers: [33, 142]\nGenerated Node #0,5,5: 84:[33, 142] Operation: 52+90=142\nMoving to Node #0,5,5\nCurrent State: 84:[33, 142], Operations: ['60+30=90', '52+90=142']\nExploring Operation: 142-33=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 33+52=85, Resulting Numbers: [60, 30, 85]\nGenerated Node #0,6: 84:[60, 30, 85] Operation: 33+52=85\nMoving to Node #0,6\nCurrent State: 84:[60, 30, 85], Operations: ['33+52=85']\nExploring Operation: 60/30=2, Resulting Numbers: [85, 2]\nGenerated Node #0,6,0: 84:[85, 2] Operation: 60/30=2\nMoving to Node #0,6,0\nCurrent State: 84:[85, 2], Operations: ['33+52=85', '60/30=2']\nExploring Operation: 85-2=83, Resulting Numbers: [83]\n83,84 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 84:[85, 2], Operations: ['33+52=85', '60/30=2']\nExploring Operation: 85+2=87, Resulting Numbers: [87]\n87,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[60, 30, 85], Operations: ['33+52=85']\nExploring Operation: 60-30=30, Resulting Numbers: [85, 30]\nGenerated Node #0,6,1: 84:[85, 30] Operation: 60-30=30\nMoving to Node #0,6,1\nCurrent State: 84:[85, 30], Operations: ['33+52=85', '60-30=30']\nExploring Operation: 85-30=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 84:[85, 30], Operations: ['33+52=85', '60-30=30']\nExploring Operation: 85+30=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[60, 30, 85], Operations: ['33+52=85']\nExploring Operation: 85-60=25, Resulting Numbers: [30, 25]\nGenerated Node #0,6,2: 84:[30, 25] Operation: 85-60=25\nMoving to Node #0,6,2\nCurrent State: 84:[30, 25], Operations: ['33+52=85', '85-60=25']\nExploring Operation: 30-25=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 84:[30, 25], Operations: ['33+52=85', '85-60=25']\nExploring Operation: 30+25=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[60, 30, 85], Operations: ['33+52=85']\nExploring Operation: 60+30=90, Resulting Numbers: [85, 90]\nGenerated Node #0,6,3: 84:[85, 90] Operation: 60+30=90\nMoving to Node #0,6,3\nCurrent State: 84:[85, 90], Operations: ['33+52=85', '60+30=90']\nExploring Operation: 90-85=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[60, 30, 85], Operations: ['33+52=85']\nExploring Operation: 85-30=55, Resulting Numbers: [60, 55]\nGenerated Node #0,6,4: 84:[60, 55] Operation: 85-30=55\nMoving to Node #0,6,4\nCurrent State: 84:[60, 55], Operations: ['33+52=85', '85-30=55']\nExploring Operation: 60-55=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 84:[60, 55], Operations: ['33+52=85', '85-30=55']\nExploring Operation: 60+55=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[60, 30, 85], Operations: ['33+52=85']\nExploring Operation: 30+85=115, Resulting Numbers: [60, 115]\nGenerated Node #0,6,5: 84:[60, 115] Operation: 30+85=115\nMoving to Node #0,6,5\nCurrent State: 84:[60, 115], Operations: ['33+52=85', '30+85=115']\nExploring Operation: 115-60=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[60, 30, 85], Operations: ['33+52=85']\nExploring Operation: 60+85=145, Resulting Numbers: [30, 145]\nGenerated Node #0,6,6: 84:[30, 145] Operation: 60+85=145\nMoving to Node #0,6,6\nCurrent State: 84:[30, 145], Operations: ['33+52=85', '60+85=145']\nExploring Operation: 145-30=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 52-33=19, Resulting Numbers: [60, 30, 19]\nGenerated Node #0,7: 84:[60, 30, 19] Operation: 52-33=19\nMoving to Node #0,7\nCurrent State: 84:[60, 30, 19], Operations: ['52-33=19']\nExploring Operation: 60/30=2, Resulting Numbers: [19, 2]\nGenerated Node #0,7,0: 84:[19, 2] Operation: 60/30=2\nMoving to Node #0,7,0\nCurrent State: 84:[19, 2], Operations: ['52-33=19', '60/30=2']\nExploring Operation: 19+2=21, Resulting Numbers: [21]\n21,84 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 84:[19, 2], Operations: ['52-33=19', '60/30=2']\nExploring Operation: 19-2=17, Resulting Numbers: [17]\n17,84 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 84:[19, 2], Operations: ['52-33=19', '60/30=2']\nExploring Operation: 19*2=38, Resulting Numbers: [38]\n38,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[60, 30, 19], Operations: ['52-33=19']\nExploring Operation: 60-19=41, Resulting Numbers: [30, 41]\nGenerated Node #0,7,1: 84:[30, 41] Operation: 60-19=41\nMoving to Node #0,7,1\nCurrent State: 84:[30, 41], Operations: ['52-33=19', '60-19=41']\nExploring Operation: 41-30=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 84:[30, 41], Operations: ['52-33=19', '60-19=41']\nExploring Operation: 30+41=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[60, 30, 19], Operations: ['52-33=19']\nExploring Operation: 60-30=30, Resulting Numbers: [19, 30]\nGenerated Node #0,7,2: 84:[19, 30] Operation: 60-30=30\nMoving to Node #0,7,2\nCurrent State: 84:[19, 30], Operations: ['52-33=19', '60-30=30']\nExploring Operation: 30-19=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 84:[19, 30], Operations: ['52-33=19', '60-30=30']\nExploring Operation: 19+30=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[60, 30, 19], Operations: ['52-33=19']\nExploring Operation: 60+19=79, Resulting Numbers: [30, 79]\nGenerated Node #0,7,3: 84:[30, 79] Operation: 60+19=79\nMoving to Node #0,7,3\nCurrent State: 84:[30, 79], Operations: ['52-33=19', '60+19=79']\nExploring Operation: 79-30=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 84:[30, 79], Operations: ['52-33=19', '60+19=79']\nExploring Operation: 30+79=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[60, 30, 19], Operations: ['52-33=19']\nExploring Operation: 60+30=90, Resulting Numbers: [19, 90]\nGenerated Node #0,7,4: 84:[19, 90] Operation: 60+30=90\nMoving to Node #0,7,4\nCurrent State: 84:[19, 90], Operations: ['52-33=19', '60+30=90']\nExploring Operation: 90-19=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 84:[19, 90], Operations: ['52-33=19', '60+30=90']\nExploring Operation: 19+90=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[60, 30, 19], Operations: ['52-33=19']\nExploring Operation: 30-19=11, Resulting Numbers: [60, 11]\nGenerated Node #0,7,5: 84:[60, 11] Operation: 30-19=11\nMoving to Node #0,7,5\nCurrent State: 84:[60, 11], Operations: ['52-33=19', '30-19=11']\nExploring Operation: 60-11=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 84:[60, 11], Operations: ['52-33=19', '30-19=11']\nExploring Operation: 60+11=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[60, 30, 19], Operations: ['52-33=19']\nExploring Operation: 30+19=49, Resulting Numbers: [60, 49]\nGenerated Node #0,7,6: 84:[60, 49] Operation: 30+19=49\nMoving to Node #0,7,6\nCurrent State: 84:[60, 49], Operations: ['52-33=19', '30+19=49']\nExploring Operation: 60-49=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 84:[60, 49], Operations: ['52-33=19', '30+19=49']\nExploring Operation: 60+49=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 52-30=22, Resulting Numbers: [60, 33, 22]\nGenerated Node #0,8: 84:[60, 33, 22] Operation: 52-30=22\nMoving to Node #0,8\nCurrent State: 84:[60, 33, 22], Operations: ['52-30=22']\nExploring Operation: 60-33=27, Resulting Numbers: [22, 27]\nGenerated Node #0,8,0: 84:[22, 27] Operation: 60-33=27\nMoving to Node #0,8,0\nCurrent State: 84:[22, 27], Operations: ['52-30=22', '60-33=27']\nExploring Operation: 27-22=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 84:[22, 27], Operations: ['52-30=22', '60-33=27']\nExploring Operation: 22+27=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[60, 33, 22], Operations: ['52-30=22']\nExploring Operation: 60+22=82, Resulting Numbers: [33, 82]\nGenerated Node #0,8,1: 84:[33, 82] Operation: 60+22=82\nMoving to Node #0,8,1\nCurrent State: 84:[33, 82], Operations: ['52-30=22', '60+22=82']\nExploring Operation: 82-33=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 84:[33, 82], Operations: ['52-30=22', '60+22=82']\nExploring Operation: 33+82=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[60, 33, 22], Operations: ['52-30=22']\nExploring Operation: 60-22=38, Resulting Numbers: [33, 38]\nGenerated Node #0,8,2: 84:[33, 38] Operation: 60-22=38\nMoving to Node #0,8,2\nCurrent State: 84:[33, 38], Operations: ['52-30=22', '60-22=38']\nExploring Operation: 38-33=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 84:[33, 38], Operations: ['52-30=22', '60-22=38']\nExploring Operation: 33+38=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[60, 33, 22], Operations: ['52-30=22']\nExploring Operation: 60+33=93, Resulting Numbers: [22, 93]\nGenerated Node #0,8,3: 84:[22, 93] Operation: 60+33=93\nMoving to Node #0,8,3\nCurrent State: 84:[22, 93], Operations: ['52-30=22', '60+33=93']\nExploring Operation: 93-22=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 84:[22, 93], Operations: ['52-30=22', '60+33=93']\nExploring Operation: 22+93=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[60, 33, 22], Operations: ['52-30=22']\nExploring Operation: 33-22=11, Resulting Numbers: [60, 11]\nGenerated Node #0,8,4: 84:[60, 11] Operation: 33-22=11\nMoving to Node #0,8,4\nCurrent State: 84:[60, 11], Operations: ['52-30=22', '33-22=11']\nExploring Operation: 60-11=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 84:[60, 11], Operations: ['52-30=22', '33-22=11']\nExploring Operation: 60+11=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[60, 33, 22], Operations: ['52-30=22']\nExploring Operation: 33+22=55, Resulting Numbers: [60, 55]\nGenerated Node #0,8,5: 84:[60, 55] Operation: 33+22=55\nMoving to Node #0,8,5\nCurrent State: 84:[60, 55], Operations: ['52-30=22', '33+22=55']\nExploring Operation: 60-55=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 84:[60, 55], Operations: ['52-30=22', '33+22=55']\nExploring Operation: 60+55=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 30+52=82, Resulting Numbers: [60, 33, 82]\nGenerated Node #0,9: 84:[60, 33, 82] Operation: 30+52=82\nMoving to Node #0,9\nCurrent State: 84:[60, 33, 82], Operations: ['30+52=82']\nExploring Operation: 60-33=27, Resulting Numbers: [82, 27]\nGenerated Node #0,9,0: 84:[82, 27] Operation: 60-33=27\nMoving to Node #0,9,0\nCurrent State: 84:[82, 27], Operations: ['30+52=82', '60-33=27']\nExploring Operation: 82-27=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 84:[82, 27], Operations: ['30+52=82', '60-33=27']\nExploring Operation: 82+27=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[60, 33, 82], Operations: ['30+52=82']\nExploring Operation: 82-60=22, Resulting Numbers: [33, 22]\nGenerated Node #0,9,1: 84:[33, 22] Operation: 82-60=22\nMoving to Node #0,9,1\nCurrent State: 84:[33, 22], Operations: ['30+52=82', '82-60=22']\nExploring Operation: 33-22=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 84:[33, 22], Operations: ['30+52=82', '82-60=22']\nExploring Operation: 33+22=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[60, 33, 82], Operations: ['30+52=82']\nExploring Operation: 60+33=93, Resulting Numbers: [82, 93]\nGenerated Node #0,9,2: 84:[82, 93] Operation: 60+33=93\nMoving to Node #0,9,2\nCurrent State: 84:[82, 93], Operations: ['30+52=82', '60+33=93']\nExploring Operation: 93-82=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[60, 33, 82], Operations: ['30+52=82']\nExploring Operation: 82-33=49, Resulting Numbers: [60, 49]\nGenerated Node #0,9,3: 84:[60, 49] Operation: 82-33=49\nMoving to Node #0,9,3\nCurrent State: 84:[60, 49], Operations: ['30+52=82', '82-33=49']\nExploring Operation: 60-49=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 84:[60, 49], Operations: ['30+52=82', '82-33=49']\nExploring Operation: 60+49=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[60, 33, 82], Operations: ['30+52=82']\nExploring Operation: 33+82=115, Resulting Numbers: [60, 115]\nGenerated Node #0,9,4: 84:[60, 115] Operation: 33+82=115\nMoving to Node #0,9,4\nCurrent State: 84:[60, 115], Operations: ['30+52=82', '33+82=115']\nExploring Operation: 115-60=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[60, 33, 82], Operations: ['30+52=82']\nExploring Operation: 60+82=142, Resulting Numbers: [33, 142]\nGenerated Node #0,9,5: 84:[33, 142] Operation: 60+82=142\nMoving to Node #0,9,5\nCurrent State: 84:[33, 142], Operations: ['30+52=82', '60+82=142']\nExploring Operation: 142-33=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 33-30=3, Resulting Numbers: [60, 52, 3]\nGenerated Node #0,10: 84:[60, 52, 3] Operation: 33-30=3\nMoving to Node #0,10\nCurrent State: 84:[60, 52, 3], Operations: ['33-30=3']\nExploring Operation: 60-52=8, Resulting Numbers: [3, 8]\nGenerated Node #0,10,0: 84:[3, 8] Operation: 60-52=8\nMoving to Node #0,10,0\nCurrent State: 84:[3, 8], Operations: ['33-30=3', '60-52=8']\nExploring Operation: 3+8=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 84:[3, 8], Operations: ['33-30=3', '60-52=8']\nExploring Operation: 8-3=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 84:[3, 8], Operations: ['33-30=3', '60-52=8']\nExploring Operation: 3*8=24, Resulting Numbers: [24]\n24,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[60, 52, 3], Operations: ['33-30=3']\nExploring Operation: 60/3=20, Resulting Numbers: [52, 20]\nGenerated Node #0,10,1: 84:[52, 20] Operation: 60/3=20\nMoving to Node #0,10,1\nCurrent State: 84:[52, 20], Operations: ['33-30=3', '60/3=20']\nExploring Operation: 52-20=32, Resulting Numbers: [32]\n32,84 unequal: No Solution\nMoving to Node #0,10,1\nCurrent State: 84:[52, 20], Operations: ['33-30=3', '60/3=20']\nExploring Operation: 52+20=72, Resulting Numbers: [72]\n72,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[60, 52, 3], Operations: ['33-30=3']\nExploring Operation: 60-3=57, Resulting Numbers: [52, 57]\nGenerated Node #0,10,2: 84:[52, 57] Operation: 60-3=57\nMoving to Node #0,10,2\nCurrent State: 84:[52, 57], Operations: ['33-30=3', '60-3=57']\nExploring Operation: 57-52=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,10,2\nCurrent State: 84:[52, 57], Operations: ['33-30=3', '60-3=57']\nExploring Operation: 52+57=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[60, 52, 3], Operations: ['33-30=3']\nExploring Operation: 52-3=49, Resulting Numbers: [60, 49]\nGenerated Node #0,10,3: 84:[60, 49] Operation: 52-3=49\nMoving to Node #0,10,3\nCurrent State: 84:[60, 49], Operations: ['33-30=3', '52-3=49']\nExploring Operation: 60-49=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 84:[60, 49], Operations: ['33-30=3', '52-3=49']\nExploring Operation: 60+49=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[60, 52, 3], Operations: ['33-30=3']\nExploring Operation: 60+52=112, Resulting Numbers: [3, 112]\nGenerated Node #0,10,4: 84:[3, 112] Operation: 60+52=112\nMoving to Node #0,10,4\nCurrent State: 84:[3, 112], Operations: ['33-30=3', '60+52=112']\nExploring Operation: 112-3=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,10,4\nCurrent State: 84:[3, 112], Operations: ['33-30=3', '60+52=112']\nExploring Operation: 3+112=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[60, 52, 3], Operations: ['33-30=3']\nExploring Operation: 60+3=63, Resulting Numbers: [52, 63]\nGenerated Node #0,10,5: 84:[52, 63] Operation: 60+3=63\nMoving to Node #0,10,5\nCurrent State: 84:[52, 63], Operations: ['33-30=3', '60+3=63']\nExploring Operation: 63-52=11, Resulting Numbers: [11]\n11,84 unequal: No Solution\nMoving to Node #0,10,5\nCurrent State: 84:[52, 63], Operations: ['33-30=3', '60+3=63']\nExploring Operation: 52+63=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[60, 52, 3], Operations: ['33-30=3']\nExploring Operation: 52+3=55, Resulting Numbers: [60, 55]\nGenerated Node #0,10,6: 84:[60, 55] Operation: 52+3=55\nMoving to Node #0,10,6\nCurrent State: 84:[60, 55], Operations: ['33-30=3', '52+3=55']\nExploring Operation: 60-55=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,10,6\nCurrent State: 84:[60, 55], Operations: ['33-30=3', '52+3=55']\nExploring Operation: 60+55=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 60+52=112, Resulting Numbers: [33, 30, 112]\nGenerated Node #0,11: 84:[33, 30, 112] Operation: 60+52=112\nMoving to Node #0,11\nCurrent State: 84:[33, 30, 112], Operations: ['60+52=112']\nExploring Operation: 112-33=79, Resulting Numbers: [30, 79]\nGenerated Node #0,11,0: 84:[30, 79] Operation: 112-33=79\nMoving to Node #0,11,0\nCurrent State: 84:[30, 79], Operations: ['60+52=112', '112-33=79']\nExploring Operation: 79-30=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 84:[30, 79], Operations: ['60+52=112', '112-33=79']\nExploring Operation: 30+79=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 84:[33, 30, 112], Operations: ['60+52=112']\nExploring Operation: 112-30=82, Resulting Numbers: [33, 82]\nGenerated Node #0,11,1: 84:[33, 82] Operation: 112-30=82\nMoving to Node #0,11,1\nCurrent State: 84:[33, 82], Operations: ['60+52=112', '112-30=82']\nExploring Operation: 82-33=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,11,1\nCurrent State: 84:[33, 82], Operations: ['60+52=112', '112-30=82']\nExploring Operation: 33+82=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 84:[33, 30, 112], Operations: ['60+52=112']\nExploring Operation: 33-30=3, Resulting Numbers: [112, 3]\nGenerated Node #0,11,2: 84:[112, 3] Operation: 33-30=3\nMoving to Node #0,11,2\nCurrent State: 84:[112, 3], Operations: ['60+52=112', '33-30=3']\nExploring Operation: 112-3=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0,11,2\nCurrent State: 84:[112, 3], Operations: ['60+52=112', '33-30=3']\nExploring Operation: 112+3=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 84:[33, 30, 112], Operations: ['60+52=112']\nExploring Operation: 33+30=63, Resulting Numbers: [112, 63]\nGenerated Node #0,11,3: 84:[112, 63] Operation: 33+30=63\nMoving to Node #0,11,3\nCurrent State: 84:[112, 63], Operations: ['60+52=112', '33+30=63']\nExploring Operation: 112-63=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 84:[33, 30, 112], Operations: ['60+52=112']\nExploring Operation: 33+112=145, Resulting Numbers: [30, 145]\nGenerated Node #0,11,4: 84:[30, 145] Operation: 33+112=145\nMoving to Node #0,11,4\nCurrent State: 84:[30, 145], Operations: ['60+52=112', '33+112=145']\nExploring Operation: 145-30=115, Resulting Numbers: [115]\n115,84 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 84:[33, 30, 112], Operations: ['60+52=112']\nExploring Operation: 30+112=142, Resulting Numbers: [33, 142]\nGenerated Node #0,11,5: 84:[33, 142] Operation: 30+112=142\nMoving to Node #0,11,5\nCurrent State: 84:[33, 142], Operations: ['60+52=112', '30+112=142']\nExploring Operation: 142-33=109, Resulting Numbers: [109]\n109,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[60, 33, 30, 52], Operations: []\nExploring Operation: 33+30=63, Resulting Numbers: [60, 52, 63]\nGenerated Node #0,12: 84:[60, 52, 63] Operation: 33+30=63\nMoving to Node #0,12\nCurrent State: 84:[60, 52, 63], Operations: ['33+30=63']\nExploring Operation: 63-60=3, Resulting Numbers: [52, 3]\nGenerated Node #0,12,0: 84:[52, 3] Operation: 63-60=3\nMoving to Node #0,12,0\nCurrent State: 84:[52, 3], Operations: ['33+30=63', '63-60=3']\nExploring Operation: 52-3=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,12,0\nCurrent State: 84:[52, 3], Operations: ['33+30=63', '63-60=3']\nExploring Operation: 52+3=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,12,0\nCurrent State: 84:[52, 3], Operations: ['33+30=63', '63-60=3']\nExploring Operation: 52*3=156, Resulting Numbers: [156]\n156,84 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 84:[60, 52, 63], Operations: ['33+30=63']\nExploring Operation: 63-52=11, Resulting Numbers: [60, 11]\nGenerated Node #0,12,1: 84:[60, 11] Operation: 63-52=11\nMoving to Node #0,12,1\nCurrent State: 84:[60, 11], Operations: ['33+30=63', '63-52=11']\nExploring Operation: 60-11=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,12,1\nCurrent State: 84:[60, 11], Operations: ['33+30=63', '63-52=11']\nExploring Operation: 60+11=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 84:[60, 52, 63], Operations: ['33+30=63']\nExploring Operation: 60-52=8, Resulting Numbers: [63, 8]\nGenerated Node #0,12,2: 84:[63, 8] Operation: 60-52=8\nMoving to Node #0,12,2\nCurrent State: 84:[63, 8], Operations: ['33+30=63', '60-52=8']\nExploring Operation: 63+8=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,12,2\nCurrent State: 84:[63, 8], Operations: ['33+30=63', '60-52=8']\nExploring Operation: 63-8=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 84:[60, 52, 63], Operations: ['33+30=63']\nExploring Operation: 60+52=112, Resulting Numbers: [63, 112]\nGenerated Node #0,12,3: 84:[63, 112] Operation: 60+52=112\nMoving to Node #0,12,3\nCurrent State: 84:[63, 112], Operations: ['33+30=63', '60+52=112']\nExploring Operation: 112-63=49, Resulting Numbers: [49]\n49,84 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 84:[60, 52, 63], Operations: ['33+30=63']\nExploring Operation: 60+63=123, Resulting Numbers: [52, 123]\nGenerated Node #0,12,4: 84:[52, 123] Operation: 60+63=123\nMoving to Node #0,12,4\nCurrent State: 84:[52, 123], Operations: ['33+30=63', '60+63=123']\nExploring Operation: 123-52=71, Resulting Numbers: [71]\n71,84 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 84:[60, 52, 63], Operations: ['33+30=63']\nExploring Operation: 52+63=115, Resulting Numbers: [60, 115]\nGenerated Node #0,12,5: 84:[60, 115] Operation: 52+63=115\nMoving to Node #0,12,5\nCurrent State: 84:[60, 115], Operations: ['33+30=63', '52+63=115']\nExploring Operation: 115-60=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\n", "role": "assistant" } ]
[ 9, 17, 50, 41 ]
99
[ "17-9=8", "50+41=91", "8+91=99" ]
Current State: 99:[9, 17, 50, 41], Operations: [] Exploring Operation: 50-9=41, Resulting Numbers: [17, 41, 41] Generated Node #0,0: 99:[17, 41, 41] Operation: 50-9=41 Exploring Operation: 50-17=33, Resulting Numbers: [9, 41, 33] Generated Node #0,1: 99:[9, 41, 33] Operation: 50-17=33 Exploring Operation: 50+41=91, Resulting Numbers: [9, 17, 91] Generated Node #0,2: 99:[9, 17, 91] Operation: 50+41=91 Exploring Operation: 41-9=32, Resulting Numbers: [17, 50, 32] Generated Node #0,3: 99:[17, 50, 32] Operation: 41-9=32 Exploring Operation: 50-41=9, Resulting Numbers: [9, 17, 9] Generated Node #0,4: 99:[9, 17, 9] Operation: 50-41=9 Moving to Node #0,4 Current State: 99:[9, 17, 9], Operations: ['50-41=9'] Exploring Operation: 9+17=26, Resulting Numbers: [9, 26] Generated Node #0,4,0: 99:[9, 26] Operation: 9+17=26 Exploring Operation: 9/9=1, Resulting Numbers: [17, 1] Generated Node #0,4,1: 99:[17, 1] Operation: 9/9=1 Exploring Operation: 17-9=8, Resulting Numbers: [9, 8] Generated Node #0,4,2: 99:[9, 8] Operation: 17-9=8 Exploring Operation: 17-9=8, Resulting Numbers: [9, 8] Generated Node #0,4,3: 99:[9, 8] Operation: 17-9=8 Exploring Operation: 17+9=26, Resulting Numbers: [9, 26] Generated Node #0,4,4: 99:[9, 26] Operation: 17+9=26 Moving to Node #0,1 Current State: 99:[9, 41, 33], Operations: ['50-17=33'] Exploring Operation: 33-9=24, Resulting Numbers: [41, 24] Generated Node #0,1,0: 99:[41, 24] Operation: 33-9=24 Exploring Operation: 41-33=8, Resulting Numbers: [9, 8] Generated Node #0,1,1: 99:[9, 8] Operation: 41-33=8 Exploring Operation: 9+33=42, Resulting Numbers: [41, 42] Generated Node #0,1,2: 99:[41, 42] Operation: 9+33=42 Exploring Operation: 41-9=32, Resulting Numbers: [33, 32] Generated Node #0,1,3: 99:[33, 32] Operation: 41-9=32 Exploring Operation: 9+41=50, Resulting Numbers: [33, 50] Generated Node #0,1,4: 99:[33, 50] Operation: 9+41=50 Moving to Node #0,2 Current State: 99:[9, 17, 91], Operations: ['50+41=91'] Exploring Operation: 91-9=82, Resulting Numbers: [17, 82] Generated Node #0,2,0: 99:[17, 82] Operation: 91-9=82 Exploring Operation: 9+17=26, Resulting Numbers: [91, 26] Generated Node #0,2,1: 99:[91, 26] Operation: 9+17=26 Exploring Operation: 17-9=8, Resulting Numbers: [91, 8] Generated Node #0,2,2: 99:[91, 8] Operation: 17-9=8 Exploring Operation: 9+91=100, Resulting Numbers: [17, 100] Generated Node #0,2,3: 99:[17, 100] Operation: 9+91=100 Exploring Operation: 17+91=108, Resulting Numbers: [9, 108] Generated Node #0,2,4: 99:[9, 108] Operation: 17+91=108 Moving to Node #0,0 Current State: 99:[17, 41, 41], Operations: ['50-9=41'] Exploring Operation: 41-17=24, Resulting Numbers: [41, 24] Generated Node #0,0,0: 99:[41, 24] Operation: 41-17=24 Exploring Operation: 41/41=1, Resulting Numbers: [17, 1] Generated Node #0,0,1: 99:[17, 1] Operation: 41/41=1 Exploring Operation: 41-41=0, Resulting Numbers: [17, 0] Generated Node #0,0,2: 99:[17, 0] Operation: 41-41=0 Exploring Operation: 41+41=82, Resulting Numbers: [17, 82] Generated Node #0,0,3: 99:[17, 82] Operation: 41+41=82 Exploring Operation: 41-17=24, Resulting Numbers: [41, 24] Generated Node #0,0,4: 99:[41, 24] Operation: 41-17=24 Moving to Node #0,3 Current State: 99:[17, 50, 32], Operations: ['41-9=32'] Exploring Operation: 32-17=15, Resulting Numbers: [50, 15] Generated Node #0,3,0: 99:[50, 15] Operation: 32-17=15 Exploring Operation: 50-17=33, Resulting Numbers: [32, 33] Generated Node #0,3,1: 99:[32, 33] Operation: 50-17=33 Exploring Operation: 50+32=82, Resulting Numbers: [17, 82] Generated Node #0,3,2: 99:[17, 82] Operation: 50+32=82 Exploring Operation: 17+50=67, Resulting Numbers: [32, 67] Generated Node #0,3,3: 99:[32, 67] Operation: 17+50=67 Exploring Operation: 50-32=18, Resulting Numbers: [17, 18] Generated Node #0,3,4: 99:[17, 18] Operation: 50-32=18 Moving to Node #0,4,2 Current State: 99:[9, 8], Operations: ['50-41=9', '17-9=8'] Exploring Operation: 9+8=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,99 unequal: No Solution Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,99 unequal: No Solution Moving to Node #0,1,1 Current State: 99:[9, 8], Operations: ['50-17=33', '41-33=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,99 unequal: No Solution Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,99 unequal: No Solution Exploring Operation: 9+8=17, Resulting Numbers: [17] 17,99 unequal: No Solution Moving to Node #0,1,3 Current State: 99:[33, 32], Operations: ['50-17=33', '41-9=32'] Exploring Operation: 33+32=65, Resulting Numbers: [65] 65,99 unequal: No Solution Exploring Operation: 33*32=1056, Resulting Numbers: [1056] 1056,99 unequal: No Solution Exploring Operation: 33-32=1, Resulting Numbers: [1] 1,99 unequal: No Solution Moving to Node #0,4,3 Current State: 99:[9, 8], Operations: ['50-41=9', '17-9=8'] Exploring Operation: 9+8=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,99 unequal: No Solution Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,99 unequal: No Solution Moving to Node #0,3,1 Current State: 99:[32, 33], Operations: ['41-9=32', '50-17=33'] Exploring Operation: 32*33=1056, Resulting Numbers: [1056] 1056,99 unequal: No Solution Exploring Operation: 32+33=65, Resulting Numbers: [65] 65,99 unequal: No Solution Exploring Operation: 33-32=1, Resulting Numbers: [1] 1,99 unequal: No Solution Moving to Node #0,4,2,0 Current State: 99:[1], Operations: ['50-41=9', '17-9=8', '9-8=1'] Moving to Node #0,1,1,0 Current State: 99:[1], Operations: ['50-17=33', '41-33=8', '9-8=1'] Moving to Node #0,4,3,0 Current State: 99:[1], Operations: ['50-41=9', '17-9=8', '9-8=1'] Moving to Node #0,1,3,0 Current State: 99:[1], Operations: ['50-17=33', '41-9=32', '33-32=1'] Moving to Node #0,3,1,0 Current State: 99:[1], Operations: ['41-9=32', '50-17=33', '33-32=1'] Moving to Node #0,4,3,0 Current State: 99:[17], Operations: ['50-41=9', '17-9=8', '9+8=17'] Moving to Node #0,1,1,0 Current State: 99:[17], Operations: ['50-17=33', '41-33=8', '9+8=17'] Moving to Node #0,4,2,0 Current State: 99:[17], Operations: ['50-41=9', '17-9=8', '9+8=17'] Moving to Node #0,4,0 Current State: 99:[9, 26], Operations: ['50-41=9', '9+17=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 9+26=35, Resulting Numbers: [35] 35,99 unequal: No Solution Exploring Operation: 9*26=234, Resulting Numbers: [234] 234,99 unequal: No Solution Moving to Node #0,2,3 Current State: 99:[17, 100], Operations: ['50+41=91', '9+91=100'] Exploring Operation: 17+100=117, Resulting Numbers: [117] 117,99 unequal: No Solution Exploring Operation: 17*100=1700, Resulting Numbers: [1700] 1700,99 unequal: No Solution Exploring Operation: 100-17=83, Resulting Numbers: [83] 83,99 unequal: No Solution Moving to Node #0,4,0,0 Current State: 99:[35], Operations: ['50-41=9', '9+17=26', '9+26=35'] Moving to Node #0,4,0,0 Current State: 99:[17], Operations: ['50-41=9', '9+17=26', '26-9=17'] Moving to Node #0,4,4 Current State: 99:[9, 26], Operations: ['50-41=9', '17+9=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 9+26=35, Resulting Numbers: [35] 35,99 unequal: No Solution Exploring Operation: 9*26=234, Resulting Numbers: [234] 234,99 unequal: No Solution Moving to Node #0,4,1 Current State: 99:[17, 1], Operations: ['50-41=9', '9/9=1'] Exploring Operation: 17/1=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,99 unequal: No Solution Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,99 unequal: No Solution Moving to Node #0,0,1 Current State: 99:[17, 1], Operations: ['50-9=41', '41/41=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,99 unequal: No Solution Exploring Operation: 17/1=17, Resulting Numbers: [17] 17,99 unequal: No Solution Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,99 unequal: No Solution Moving to Node #0,4,4,0 Current State: 99:[35], Operations: ['50-41=9', '17+9=26', '9+26=35'] Moving to Node #0,4,1,0 Current State: 99:[16], Operations: ['50-41=9', '9/9=1', '17-1=16'] Moving to Node #0,0,1,0 Current State: 99:[16], Operations: ['50-9=41', '41/41=1', '17-1=16'] Moving to Node #0,4,4,0 Current State: 99:[17], Operations: ['50-41=9', '17+9=26', '26-9=17'] Moving to Node #0,4,1,0 Current State: 99:[17], Operations: ['50-41=9', '9/9=1', '17/1=17'] Moving to Node #0,4,1,0 Current State: 99:[17], Operations: ['50-41=9', '9/9=1', '17*1=17'] Moving to Node #0,0,1,0 Current State: 99:[17], Operations: ['50-9=41', '41/41=1', '17/1=17'] Moving to Node #0,0,1,0 Current State: 99:[17], Operations: ['50-9=41', '41/41=1', '17*1=17'] Moving to Node #0,0,1,0 Current State: 99:[18], Operations: ['50-9=41', '41/41=1', '17+1=18'] Moving to Node #0,4,1,0 Current State: 99:[18], Operations: ['50-41=9', '9/9=1', '17+1=18'] Moving to Node #0,2,4 Current State: 99:[9, 108], Operations: ['50+41=91', '17+91=108'] Exploring Operation: 9*108=972, Resulting Numbers: [972] 972,99 unequal: No Solution Exploring Operation: 9+108=117, Resulting Numbers: [117] 117,99 unequal: No Solution Exploring Operation: 108/9=12, Resulting Numbers: [12] 12,99 unequal: No Solution Exploring Operation: 108-9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
0.94184
bfs_5
Current State: 99:[9, 17, 50, 41], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [50, 41, 8] Generated Node #2: [50, 41, 8] from Operation: 17-9=8 Current State: 99:[50, 41, 8], Operations: ['17-9=8'] Exploring Operation: 50+41=91, Resulting Numbers: [8, 91] Generated Node #3: [8, 91] from Operation: 50+41=91 Current State: 99:[8, 91], Operations: ['17-9=8', '50+41=91'] Exploring Operation: 8+91=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
mult_heuristic
[ { "content": "Make 99 with the numbers [9, 17, 50, 41] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 99:[9, 17, 50, 41], Operations: []\nExploring Operation: 50-9=41, Resulting Numbers: [17, 41, 41]\nGenerated Node #0,0: 99:[17, 41, 41] Operation: 50-9=41\nExploring Operation: 50-17=33, Resulting Numbers: [9, 41, 33]\nGenerated Node #0,1: 99:[9, 41, 33] Operation: 50-17=33\nExploring Operation: 50+41=91, Resulting Numbers: [9, 17, 91]\nGenerated Node #0,2: 99:[9, 17, 91] Operation: 50+41=91\nExploring Operation: 41-9=32, Resulting Numbers: [17, 50, 32]\nGenerated Node #0,3: 99:[17, 50, 32] Operation: 41-9=32\nExploring Operation: 50-41=9, Resulting Numbers: [9, 17, 9]\nGenerated Node #0,4: 99:[9, 17, 9] Operation: 50-41=9\nMoving to Node #0,4\nCurrent State: 99:[9, 17, 9], Operations: ['50-41=9']\nExploring Operation: 9+17=26, Resulting Numbers: [9, 26]\nGenerated Node #0,4,0: 99:[9, 26] Operation: 9+17=26\nExploring Operation: 9/9=1, Resulting Numbers: [17, 1]\nGenerated Node #0,4,1: 99:[17, 1] Operation: 9/9=1\nExploring Operation: 17-9=8, Resulting Numbers: [9, 8]\nGenerated Node #0,4,2: 99:[9, 8] Operation: 17-9=8\nExploring Operation: 17-9=8, Resulting Numbers: [9, 8]\nGenerated Node #0,4,3: 99:[9, 8] Operation: 17-9=8\nExploring Operation: 17+9=26, Resulting Numbers: [9, 26]\nGenerated Node #0,4,4: 99:[9, 26] Operation: 17+9=26\nMoving to Node #0,1\nCurrent State: 99:[9, 41, 33], Operations: ['50-17=33']\nExploring Operation: 33-9=24, Resulting Numbers: [41, 24]\nGenerated Node #0,1,0: 99:[41, 24] Operation: 33-9=24\nExploring Operation: 41-33=8, Resulting Numbers: [9, 8]\nGenerated Node #0,1,1: 99:[9, 8] Operation: 41-33=8\nExploring Operation: 9+33=42, Resulting Numbers: [41, 42]\nGenerated Node #0,1,2: 99:[41, 42] Operation: 9+33=42\nExploring Operation: 41-9=32, Resulting Numbers: [33, 32]\nGenerated Node #0,1,3: 99:[33, 32] Operation: 41-9=32\nExploring Operation: 9+41=50, Resulting Numbers: [33, 50]\nGenerated Node #0,1,4: 99:[33, 50] Operation: 9+41=50\nMoving to Node #0,2\nCurrent State: 99:[9, 17, 91], Operations: ['50+41=91']\nExploring Operation: 91-9=82, Resulting Numbers: [17, 82]\nGenerated Node #0,2,0: 99:[17, 82] Operation: 91-9=82\nExploring Operation: 9+17=26, Resulting Numbers: [91, 26]\nGenerated Node #0,2,1: 99:[91, 26] Operation: 9+17=26\nExploring Operation: 17-9=8, Resulting Numbers: [91, 8]\nGenerated Node #0,2,2: 99:[91, 8] Operation: 17-9=8\nExploring Operation: 9+91=100, Resulting Numbers: [17, 100]\nGenerated Node #0,2,3: 99:[17, 100] Operation: 9+91=100\nExploring Operation: 17+91=108, Resulting Numbers: [9, 108]\nGenerated Node #0,2,4: 99:[9, 108] Operation: 17+91=108\nMoving to Node #0,0\nCurrent State: 99:[17, 41, 41], Operations: ['50-9=41']\nExploring Operation: 41-17=24, Resulting Numbers: [41, 24]\nGenerated Node #0,0,0: 99:[41, 24] Operation: 41-17=24\nExploring Operation: 41/41=1, Resulting Numbers: [17, 1]\nGenerated Node #0,0,1: 99:[17, 1] Operation: 41/41=1\nExploring Operation: 41-41=0, Resulting Numbers: [17, 0]\nGenerated Node #0,0,2: 99:[17, 0] Operation: 41-41=0\nExploring Operation: 41+41=82, Resulting Numbers: [17, 82]\nGenerated Node #0,0,3: 99:[17, 82] Operation: 41+41=82\nExploring Operation: 41-17=24, Resulting Numbers: [41, 24]\nGenerated Node #0,0,4: 99:[41, 24] Operation: 41-17=24\nMoving to Node #0,3\nCurrent State: 99:[17, 50, 32], Operations: ['41-9=32']\nExploring Operation: 32-17=15, Resulting Numbers: [50, 15]\nGenerated Node #0,3,0: 99:[50, 15] Operation: 32-17=15\nExploring Operation: 50-17=33, Resulting Numbers: [32, 33]\nGenerated Node #0,3,1: 99:[32, 33] Operation: 50-17=33\nExploring Operation: 50+32=82, Resulting Numbers: [17, 82]\nGenerated Node #0,3,2: 99:[17, 82] Operation: 50+32=82\nExploring Operation: 17+50=67, Resulting Numbers: [32, 67]\nGenerated Node #0,3,3: 99:[32, 67] Operation: 17+50=67\nExploring Operation: 50-32=18, Resulting Numbers: [17, 18]\nGenerated Node #0,3,4: 99:[17, 18] Operation: 50-32=18\nMoving to Node #0,4,2\nCurrent State: 99:[9, 8], Operations: ['50-41=9', '17-9=8']\nExploring Operation: 9+8=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 9-8=1, Resulting Numbers: [1]\n1,99 unequal: No Solution\nExploring Operation: 9*8=72, Resulting Numbers: [72]\n72,99 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 99:[9, 8], Operations: ['50-17=33', '41-33=8']\nExploring Operation: 9*8=72, Resulting Numbers: [72]\n72,99 unequal: No Solution\nExploring Operation: 9-8=1, Resulting Numbers: [1]\n1,99 unequal: No Solution\nExploring Operation: 9+8=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 99:[33, 32], Operations: ['50-17=33', '41-9=32']\nExploring Operation: 33+32=65, Resulting Numbers: [65]\n65,99 unequal: No Solution\nExploring Operation: 33*32=1056, Resulting Numbers: [1056]\n1056,99 unequal: No Solution\nExploring Operation: 33-32=1, Resulting Numbers: [1]\n1,99 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 99:[9, 8], Operations: ['50-41=9', '17-9=8']\nExploring Operation: 9+8=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 9*8=72, Resulting Numbers: [72]\n72,99 unequal: No Solution\nExploring Operation: 9-8=1, Resulting Numbers: [1]\n1,99 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 99:[32, 33], Operations: ['41-9=32', '50-17=33']\nExploring Operation: 32*33=1056, Resulting Numbers: [1056]\n1056,99 unequal: No Solution\nExploring Operation: 32+33=65, Resulting Numbers: [65]\n65,99 unequal: No Solution\nExploring Operation: 33-32=1, Resulting Numbers: [1]\n1,99 unequal: No Solution\nMoving to Node #0,4,2,0\nCurrent State: 99:[1], Operations: ['50-41=9', '17-9=8', '9-8=1']\nMoving to Node #0,1,1,0\nCurrent State: 99:[1], Operations: ['50-17=33', '41-33=8', '9-8=1']\nMoving to Node #0,4,3,0\nCurrent State: 99:[1], Operations: ['50-41=9', '17-9=8', '9-8=1']\nMoving to Node #0,1,3,0\nCurrent State: 99:[1], Operations: ['50-17=33', '41-9=32', '33-32=1']\nMoving to Node #0,3,1,0\nCurrent State: 99:[1], Operations: ['41-9=32', '50-17=33', '33-32=1']\nMoving to Node #0,4,3,0\nCurrent State: 99:[17], Operations: ['50-41=9', '17-9=8', '9+8=17']\nMoving to Node #0,1,1,0\nCurrent State: 99:[17], Operations: ['50-17=33', '41-33=8', '9+8=17']\nMoving to Node #0,4,2,0\nCurrent State: 99:[17], Operations: ['50-41=9', '17-9=8', '9+8=17']\nMoving to Node #0,4,0\nCurrent State: 99:[9, 26], Operations: ['50-41=9', '9+17=26']\nExploring Operation: 26-9=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 9+26=35, Resulting Numbers: [35]\n35,99 unequal: No Solution\nExploring Operation: 9*26=234, Resulting Numbers: [234]\n234,99 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 99:[17, 100], Operations: ['50+41=91', '9+91=100']\nExploring Operation: 17+100=117, Resulting Numbers: [117]\n117,99 unequal: No Solution\nExploring Operation: 17*100=1700, Resulting Numbers: [1700]\n1700,99 unequal: No Solution\nExploring Operation: 100-17=83, Resulting Numbers: [83]\n83,99 unequal: No Solution\nMoving to Node #0,4,0,0\nCurrent State: 99:[35], Operations: ['50-41=9', '9+17=26', '9+26=35']\nMoving to Node #0,4,0,0\nCurrent State: 99:[17], Operations: ['50-41=9', '9+17=26', '26-9=17']\nMoving to Node #0,4,4\nCurrent State: 99:[9, 26], Operations: ['50-41=9', '17+9=26']\nExploring Operation: 26-9=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 9+26=35, Resulting Numbers: [35]\n35,99 unequal: No Solution\nExploring Operation: 9*26=234, Resulting Numbers: [234]\n234,99 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 99:[17, 1], Operations: ['50-41=9', '9/9=1']\nExploring Operation: 17/1=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 17*1=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 17+1=18, Resulting Numbers: [18]\n18,99 unequal: No Solution\nExploring Operation: 17-1=16, Resulting Numbers: [16]\n16,99 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 99:[17, 1], Operations: ['50-9=41', '41/41=1']\nExploring Operation: 17*1=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 17+1=18, Resulting Numbers: [18]\n18,99 unequal: No Solution\nExploring Operation: 17/1=17, Resulting Numbers: [17]\n17,99 unequal: No Solution\nExploring Operation: 17-1=16, Resulting Numbers: [16]\n16,99 unequal: No Solution\nMoving to Node #0,4,4,0\nCurrent State: 99:[35], Operations: ['50-41=9', '17+9=26', '9+26=35']\nMoving to Node #0,4,1,0\nCurrent State: 99:[16], Operations: ['50-41=9', '9/9=1', '17-1=16']\nMoving to Node #0,0,1,0\nCurrent State: 99:[16], Operations: ['50-9=41', '41/41=1', '17-1=16']\nMoving to Node #0,4,4,0\nCurrent State: 99:[17], Operations: ['50-41=9', '17+9=26', '26-9=17']\nMoving to Node #0,4,1,0\nCurrent State: 99:[17], Operations: ['50-41=9', '9/9=1', '17/1=17']\nMoving to Node #0,4,1,0\nCurrent State: 99:[17], Operations: ['50-41=9', '9/9=1', '17*1=17']\nMoving to Node #0,0,1,0\nCurrent State: 99:[17], Operations: ['50-9=41', '41/41=1', '17/1=17']\nMoving to Node #0,0,1,0\nCurrent State: 99:[17], Operations: ['50-9=41', '41/41=1', '17*1=17']\nMoving to Node #0,0,1,0\nCurrent State: 99:[18], Operations: ['50-9=41', '41/41=1', '17+1=18']\nMoving to Node #0,4,1,0\nCurrent State: 99:[18], Operations: ['50-41=9', '9/9=1', '17+1=18']\nMoving to Node #0,2,4\nCurrent State: 99:[9, 108], Operations: ['50+41=91', '17+91=108']\nExploring Operation: 9*108=972, Resulting Numbers: [972]\n972,99 unequal: No Solution\nExploring Operation: 9+108=117, Resulting Numbers: [117]\n117,99 unequal: No Solution\nExploring Operation: 108/9=12, Resulting Numbers: [12]\n12,99 unequal: No Solution\nExploring Operation: 108-9=99, Resulting Numbers: [99]\n99,99 equal: Goal Reached\n", "role": "assistant" } ]
[ 41, 32, 7, 40 ]
38
[ "41-32=9", "7+40=47", "47-9=38" ]
Current State: 38:[41, 32, 7, 40], Operations: [] Exploring Operation: 32+7=39, Resulting Numbers: [41, 40, 39] Generated Node #0,0: 38:[41, 40, 39] Operation: 32+7=39 Moving to Node #0,0 Current State: 38:[41, 40, 39], Operations: ['32+7=39'] Exploring Operation: 41-40=1, Resulting Numbers: [39, 1] Generated Node #0,0,0: 38:[39, 1] Operation: 41-40=1 Moving to Node #0,0,0 Current State: 38:[39, 1], Operations: ['32+7=39', '41-40=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
0.996528
dfs
Current State: 38:[41, 32, 7, 40], Operations: [] Exploring Operation: 41-32=9, Resulting Numbers: [7, 40, 9] Generated Node #2: [7, 40, 9] from Operation: 41-32=9 Current State: 38:[7, 40, 9], Operations: ['41-32=9'] Exploring Operation: 7+40=47, Resulting Numbers: [9, 47] Generated Node #3: [9, 47] from Operation: 7+40=47 Current State: 38:[9, 47], Operations: ['41-32=9', '7+40=47'] Exploring Operation: 47-9=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
sum_heuristic
[ { "content": "Make 38 with the numbers [41, 32, 7, 40] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 38:[41, 32, 7, 40], Operations: []\nExploring Operation: 32+7=39, Resulting Numbers: [41, 40, 39]\nGenerated Node #0,0: 38:[41, 40, 39] Operation: 32+7=39\nMoving to Node #0,0\nCurrent State: 38:[41, 40, 39], Operations: ['32+7=39']\nExploring Operation: 41-40=1, Resulting Numbers: [39, 1]\nGenerated Node #0,0,0: 38:[39, 1] Operation: 41-40=1\nMoving to Node #0,0,0\nCurrent State: 38:[39, 1], Operations: ['32+7=39', '41-40=1']\nExploring Operation: 39-1=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached\n", "role": "assistant" } ]
[ 30, 17, 90, 69 ]
68
[ "30+17=47", "90-69=21", "47+21=68" ]
Current State: 68:[30, 17, 90, 69], Operations: [] Exploring Operation: 30+17=47, Resulting Numbers: [90, 69, 47] Generated Node #0,0: 68:[90, 69, 47] Operation: 30+17=47 Moving to Node #0,0 Current State: 68:[90, 69, 47], Operations: ['30+17=47'] Exploring Operation: 90-47=43, Resulting Numbers: [69, 43] Generated Node #0,0,0: 68:[69, 43] Operation: 90-47=43 Moving to Node #0,0,0 Current State: 68:[69, 43], Operations: ['30+17=47', '90-47=43'] Exploring Operation: 69-43=26, Resulting Numbers: [26] 26,68 unequal: No Solution Moving to Node #0,0,0 Current State: 68:[69, 43], Operations: ['30+17=47', '90-47=43'] Exploring Operation: 69+43=112, Resulting Numbers: [112] 112,68 unequal: No Solution Moving to Node #0,0 Current State: 68:[90, 69, 47], Operations: ['30+17=47'] Exploring Operation: 90-69=21, Resulting Numbers: [47, 21] Generated Node #0,0,1: 68:[47, 21] Operation: 90-69=21 Moving to Node #0,0,1 Current State: 68:[47, 21], Operations: ['30+17=47', '90-69=21'] Exploring Operation: 47+21=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
0.993924
dfs
Current State: 68:[30, 17, 90, 69], Operations: [] Exploring Operation: 30+17=47, Resulting Numbers: [90, 69, 47] Generated Node #2: [90, 69, 47] from Operation: 30+17=47 Current State: 68:[90, 69, 47], Operations: ['30+17=47'] Exploring Operation: 90-69=21, Resulting Numbers: [47, 21] Generated Node #3: [47, 21] from Operation: 90-69=21 Current State: 68:[47, 21], Operations: ['30+17=47', '90-69=21'] Exploring Operation: 47+21=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
sum_heuristic
[ { "content": "Make 68 with the numbers [30, 17, 90, 69] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 68:[30, 17, 90, 69], Operations: []\nExploring Operation: 30+17=47, Resulting Numbers: [90, 69, 47]\nGenerated Node #0,0: 68:[90, 69, 47] Operation: 30+17=47\nMoving to Node #0,0\nCurrent State: 68:[90, 69, 47], Operations: ['30+17=47']\nExploring Operation: 90-47=43, Resulting Numbers: [69, 43]\nGenerated Node #0,0,0: 68:[69, 43] Operation: 90-47=43\nMoving to Node #0,0,0\nCurrent State: 68:[69, 43], Operations: ['30+17=47', '90-47=43']\nExploring Operation: 69-43=26, Resulting Numbers: [26]\n26,68 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 68:[69, 43], Operations: ['30+17=47', '90-47=43']\nExploring Operation: 69+43=112, Resulting Numbers: [112]\n112,68 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 68:[90, 69, 47], Operations: ['30+17=47']\nExploring Operation: 90-69=21, Resulting Numbers: [47, 21]\nGenerated Node #0,0,1: 68:[47, 21] Operation: 90-69=21\nMoving to Node #0,0,1\nCurrent State: 68:[47, 21], Operations: ['30+17=47', '90-69=21']\nExploring Operation: 47+21=68, Resulting Numbers: [68]\n68,68 equal: Goal Reached\n", "role": "assistant" } ]
[ 35, 53, 2, 20 ]
37
[ "35*2=70", "53-20=33", "70-33=37" ]
Current State: 37:[35, 53, 2, 20], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [35, 20, 51] Generated Node #0,0: 37:[35, 20, 51] Operation: 53-2=51 Exploring Operation: 2*20=40, Resulting Numbers: [35, 53, 40] Generated Node #0,1: 37:[35, 53, 40] Operation: 2*20=40 Exploring Operation: 2+20=22, Resulting Numbers: [35, 53, 22] Generated Node #0,2: 37:[35, 53, 22] Operation: 2+20=22 Exploring Operation: 35+2=37, Resulting Numbers: [53, 20, 37] Generated Node #0,3: 37:[53, 20, 37] Operation: 35+2=37 Moving to Node #0,1 Current State: 37:[35, 53, 40], Operations: ['2*20=40'] Exploring Operation: 40-35=5, Resulting Numbers: [53, 5] Generated Node #0,1,0: 37:[53, 5] Operation: 40-35=5 Exploring Operation: 53-35=18, Resulting Numbers: [40, 18] Generated Node #0,1,1: 37:[40, 18] Operation: 53-35=18 Exploring Operation: 35+53=88, Resulting Numbers: [40, 88] Generated Node #0,1,2: 37:[40, 88] Operation: 35+53=88 Exploring Operation: 53-40=13, Resulting Numbers: [35, 13] Generated Node #0,1,3: 37:[35, 13] Operation: 53-40=13 Moving to Node #0,2 Current State: 37:[35, 53, 22], Operations: ['2+20=22'] Exploring Operation: 53-22=31, Resulting Numbers: [35, 31] Generated Node #0,2,0: 37:[35, 31] Operation: 53-22=31 Exploring Operation: 53-35=18, Resulting Numbers: [22, 18] Generated Node #0,2,1: 37:[22, 18] Operation: 53-35=18 Exploring Operation: 35+22=57, Resulting Numbers: [53, 57] Generated Node #0,2,2: 37:[53, 57] Operation: 35+22=57 Exploring Operation: 35-22=13, Resulting Numbers: [53, 13] Generated Node #0,2,3: 37:[53, 13] Operation: 35-22=13 Moving to Node #0,0 Current State: 37:[35, 20, 51], Operations: ['53-2=51'] Exploring Operation: 35-20=15, Resulting Numbers: [51, 15] Generated Node #0,0,0: 37:[51, 15] Operation: 35-20=15 Exploring Operation: 51-20=31, Resulting Numbers: [35, 31] Generated Node #0,0,1: 37:[35, 31] Operation: 51-20=31 Exploring Operation: 35+20=55, Resulting Numbers: [51, 55] Generated Node #0,0,2: 37:[51, 55] Operation: 35+20=55 Exploring Operation: 20+51=71, Resulting Numbers: [35, 71] Generated Node #0,0,3: 37:[35, 71] Operation: 20+51=71 Moving to Node #0,3 Current State: 37:[53, 20, 37], Operations: ['35+2=37'] Exploring Operation: 37-20=17, Resulting Numbers: [53, 17] Generated Node #0,3,0: 37:[53, 17] Operation: 37-20=17 Exploring Operation: 53-20=33, Resulting Numbers: [37, 33] Generated Node #0,3,1: 37:[37, 33] Operation: 53-20=33 Exploring Operation: 20+37=57, Resulting Numbers: [53, 57] Generated Node #0,3,2: 37:[53, 57] Operation: 20+37=57 Exploring Operation: 53+20=73, Resulting Numbers: [37, 73] Generated Node #0,3,3: 37:[37, 73] Operation: 53+20=73 Moving to Node #0,3,1 Current State: 37:[37, 33], Operations: ['35+2=37', '53-20=33'] Exploring Operation: 37*33=1221, Resulting Numbers: [1221] 1221,37 unequal: No Solution Exploring Operation: 37-33=4, Resulting Numbers: [4] 4,37 unequal: No Solution Exploring Operation: 37+33=70, Resulting Numbers: [70] 70,37 unequal: No Solution Moving to Node #0,2,0 Current State: 37:[35, 31], Operations: ['2+20=22', '53-22=31'] Exploring Operation: 35*31=1085, Resulting Numbers: [1085] 1085,37 unequal: No Solution Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,37 unequal: No Solution Exploring Operation: 35-31=4, Resulting Numbers: [4] 4,37 unequal: No Solution Moving to Node #0,0,1 Current State: 37:[35, 31], Operations: ['53-2=51', '51-20=31'] Exploring Operation: 35*31=1085, Resulting Numbers: [1085] 1085,37 unequal: No Solution Exploring Operation: 35-31=4, Resulting Numbers: [4] 4,37 unequal: No Solution Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,37 unequal: No Solution Moving to Node #0,1,1 Current State: 37:[40, 18], Operations: ['2*20=40', '53-35=18'] Exploring Operation: 40-18=22, Resulting Numbers: [22] 22,37 unequal: No Solution Exploring Operation: 40*18=720, Resulting Numbers: [720] 720,37 unequal: No Solution Exploring Operation: 40+18=58, Resulting Numbers: [58] 58,37 unequal: No Solution Moving to Node #0,1,1,0 Current State: 37:[22], Operations: ['2*20=40', '53-35=18', '40-18=22'] Moving to Node #0,1,1,0 Current State: 37:[58], Operations: ['2*20=40', '53-35=18', '40+18=58'] Moving to Node #0,1,3 Current State: 37:[35, 13], Operations: ['2*20=40', '53-40=13'] Exploring Operation: 35*13=455, Resulting Numbers: [455] 455,37 unequal: No Solution Exploring Operation: 35-13=22, Resulting Numbers: [22] 22,37 unequal: No Solution Exploring Operation: 35+13=48, Resulting Numbers: [48] 48,37 unequal: No Solution Moving to Node #0,2,0,0 Current State: 37:[66], Operations: ['2+20=22', '53-22=31', '35+31=66'] Moving to Node #0,1,3,0 Current State: 37:[48], Operations: ['2*20=40', '53-40=13', '35+13=48'] Moving to Node #0,1,3,0 Current State: 37:[22], Operations: ['2*20=40', '53-40=13', '35-13=22'] Moving to Node #0,0,1,0 Current State: 37:[66], Operations: ['53-2=51', '51-20=31', '35+31=66'] Moving to Node #0,0,2 Current State: 37:[51, 55], Operations: ['53-2=51', '35+20=55'] Exploring Operation: 51+55=106, Resulting Numbers: [106] 106,37 unequal: No Solution Exploring Operation: 55-51=4, Resulting Numbers: [4] 4,37 unequal: No Solution Exploring Operation: 51*55=2805, Resulting Numbers: [2805] 2805,37 unequal: No Solution Moving to Node #0,3,1,0 Current State: 37:[4], Operations: ['35+2=37', '53-20=33', '37-33=4'] Moving to Node #0,3,1,0 Current State: 37:[70], Operations: ['35+2=37', '53-20=33', '37+33=70'] Moving to Node #0,0,1,0 Current State: 37:[4], Operations: ['53-2=51', '51-20=31', '35-31=4'] Moving to Node #0,0,2,0 Current State: 37:[4], Operations: ['53-2=51', '35+20=55', '55-51=4'] Moving to Node #0,2,0,0 Current State: 37:[4], Operations: ['2+20=22', '53-22=31', '35-31=4'] Moving to Node #0,2,1 Current State: 37:[22, 18], Operations: ['2+20=22', '53-35=18'] Exploring Operation: 22-18=4, Resulting Numbers: [4] 4,37 unequal: No Solution Exploring Operation: 22+18=40, Resulting Numbers: [40] 40,37 unequal: No Solution Exploring Operation: 22*18=396, Resulting Numbers: [396] 396,37 unequal: No Solution Moving to Node #0,2,2 Current State: 37:[53, 57], Operations: ['2+20=22', '35+22=57'] Exploring Operation: 53+57=110, Resulting Numbers: [110] 110,37 unequal: No Solution Exploring Operation: 53*57=3021, Resulting Numbers: [3021] 3021,37 unequal: No Solution Exploring Operation: 57-53=4, Resulting Numbers: [4] 4,37 unequal: No Solution Moving to Node #0,0,3 Current State: 37:[35, 71], Operations: ['53-2=51', '20+51=71'] Exploring Operation: 35+71=106, Resulting Numbers: [106] 106,37 unequal: No Solution Exploring Operation: 35*71=2485, Resulting Numbers: [2485] 2485,37 unequal: No Solution Exploring Operation: 71-35=36, Resulting Numbers: [36] 36,37 unequal: No Solution Moving to Node #0,0,3,0 Current State: 37:[36], Operations: ['53-2=51', '20+51=71', '71-35=36'] Moving to Node #0,2,1,0 Current State: 37:[40], Operations: ['2+20=22', '53-35=18', '22+18=40'] Moving to Node #0,2,1,0 Current State: 37:[4], Operations: ['2+20=22', '53-35=18', '22-18=4'] Moving to Node #0,2,2,0 Current State: 37:[4], Operations: ['2+20=22', '35+22=57', '57-53=4'] Moving to Node #0,0,0 Current State: 37:[51, 15], Operations: ['53-2=51', '35-20=15'] Exploring Operation: 51+15=66, Resulting Numbers: [66] 66,37 unequal: No Solution Exploring Operation: 51-15=36, Resulting Numbers: [36] 36,37 unequal: No Solution Exploring Operation: 51*15=765, Resulting Numbers: [765] 765,37 unequal: No Solution Moving to Node #0,3,0 Current State: 37:[53, 17], Operations: ['35+2=37', '37-20=17'] Exploring Operation: 53*17=901, Resulting Numbers: [901] 901,37 unequal: No Solution Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,37 unequal: No Solution Exploring Operation: 53+17=70, Resulting Numbers: [70] 70,37 unequal: No Solution Moving to Node #0,3,3 Current State: 37:[37, 73], Operations: ['35+2=37', '53+20=73'] Exploring Operation: 73-37=36, Resulting Numbers: [36] 36,37 unequal: No Solution Exploring Operation: 37*73=2701, Resulting Numbers: [2701] 2701,37 unequal: No Solution Exploring Operation: 37+73=110, Resulting Numbers: [110] 110,37 unequal: No Solution Moving to Node #0,3,2 Current State: 37:[53, 57], Operations: ['35+2=37', '20+37=57'] Exploring Operation: 53*57=3021, Resulting Numbers: [3021] 3021,37 unequal: No Solution Exploring Operation: 53+57=110, Resulting Numbers: [110] 110,37 unequal: No Solution Exploring Operation: 57-53=4, Resulting Numbers: [4] 4,37 unequal: No Solution Moving to Node #0,0,0,0 Current State: 37:[36], Operations: ['53-2=51', '35-20=15', '51-15=36'] Moving to Node #0,3,0,0 Current State: 37:[36], Operations: ['35+2=37', '37-20=17', '53-17=36'] Moving to Node #0,3,3,0 Current State: 37:[36], Operations: ['35+2=37', '53+20=73', '73-37=36'] Moving to Node #0,0,0,0 Current State: 37:[66], Operations: ['53-2=51', '35-20=15', '51+15=66'] Moving to Node #0,3,2,0 Current State: 37:[4], Operations: ['35+2=37', '20+37=57', '57-53=4'] Moving to Node #0,3,0,0 Current State: 37:[70], Operations: ['35+2=37', '37-20=17', '53+17=70'] Moving to Node #0,2,3 Current State: 37:[53, 13], Operations: ['2+20=22', '35-22=13'] Exploring Operation: 53-13=40, Resulting Numbers: [40] 40,37 unequal: No Solution Exploring Operation: 53*13=689, Resulting Numbers: [689] 689,37 unequal: No Solution Exploring Operation: 53+13=66, Resulting Numbers: [66] 66,37 unequal: No Solution Moving to Node #0,1,0 Current State: 37:[53, 5], Operations: ['2*20=40', '40-35=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,37 unequal: No Solution Exploring Operation: 53*5=265, Resulting Numbers: [265] 265,37 unequal: No Solution Exploring Operation: 53+5=58, Resulting Numbers: [58] 58,37 unequal: No Solution Moving to Node #0,2,3,0 Current State: 37:[40], Operations: ['2+20=22', '35-22=13', '53-13=40'] Moving to Node #0,1,0,0 Current State: 37:[48], Operations: ['2*20=40', '40-35=5', '53-5=48'] Moving to Node #0,1,0,0 Current State: 37:[58], Operations: ['2*20=40', '40-35=5', '53+5=58'] Moving to Node #0,2,3,0 Current State: 37:[66], Operations: ['2+20=22', '35-22=13', '53+13=66'] Moving to Node #0,1,2 Current State: 37:[40, 88], Operations: ['2*20=40', '35+53=88'] Exploring Operation: 88-40=48, Resulting Numbers: [48] 48,37 unequal: No Solution Exploring Operation: 40*88=3520, Resulting Numbers: [3520] 3520,37 unequal: No Solution Exploring Operation: 40+88=128, Resulting Numbers: [128] 128,37 unequal: No Solution Moving to Node #0,0,2,0 Current State: 37:[106], Operations: ['53-2=51', '35+20=55', '51+55=106'] Moving to Node #0,0,3,0 Current State: 37:[106], Operations: ['53-2=51', '20+51=71', '35+71=106'] Moving to Node #0,3,2,0 Current State: 37:[110], Operations: ['35+2=37', '20+37=57', '53+57=110'] Moving to Node #0,1,2,0 Current State: 37:[48], Operations: ['2*20=40', '35+53=88', '88-40=48'] Moving to Node #0,3,3,0 Current State: 37:[110], Operations: ['35+2=37', '53+20=73', '37+73=110'] Moving to Node #0,2,2,0 Current State: 37:[110], Operations: ['2+20=22', '35+22=57', '53+57=110'] Moving to Node #0,1,2,0 Current State: 37:[128], Operations: ['2*20=40', '35+53=88', '40+88=128'] Moving to Node #0,1,0,0 Current State: 37:[265], Operations: ['2*20=40', '40-35=5', '53*5=265'] Moving to Node #0,2,1,0 Current State: 37:[396], Operations: ['2+20=22', '53-35=18', '22*18=396'] Moving to Node #0,1,3,0 Current State: 37:[455], Operations: ['2*20=40', '53-40=13', '35*13=455'] Moving to Node #0,2,3,0 Current State: 37:[689], Operations: ['2+20=22', '35-22=13', '53*13=689'] Moving to Node #0,1,1,0 Current State: 37:[720], Operations: ['2*20=40', '53-35=18', '40*18=720'] Moving to Node #0,0,0,0 Current State: 37:[765], Operations: ['53-2=51', '35-20=15', '51*15=765'] Moving to Node #0,3,0,0 Current State: 37:[901], Operations: ['35+2=37', '37-20=17', '53*17=901'] Moving to Node #0,2,0,0 Current State: 37:[1085], Operations: ['2+20=22', '53-22=31', '35*31=1085'] Moving to Node #0,0,1,0 Current State: 37:[1085], Operations: ['53-2=51', '51-20=31', '35*31=1085'] Moving to Node #0,3,1,0 Current State: 37:[1221], Operations: ['35+2=37', '53-20=33', '37*33=1221'] Moving to Node #0,0,3,0 Current State: 37:[2485], Operations: ['53-2=51', '20+51=71', '35*71=2485'] Moving to Node #0,3,3,0 Current State: 37:[2701], Operations: ['35+2=37', '53+20=73', '37*73=2701'] Moving to Node #0,0,2,0 Current State: 37:[2805], Operations: ['53-2=51', '35+20=55', '51*55=2805'] Moving to Node #0,2,2,0 Current State: 37:[3021], Operations: ['2+20=22', '35+22=57', '53*57=3021'] Moving to Node #0,3,2,0 Current State: 37:[3021], Operations: ['35+2=37', '20+37=57', '53*57=3021'] Moving to Node #0,1,2,0 Current State: 37:[3520], Operations: ['2*20=40', '35+53=88', '40*88=3520'] No solution found.
0
bfs_4
Current State: 37:[35, 53, 2, 20], Operations: [] Exploring Operation: 35*2=70, Resulting Numbers: [53, 20, 70] Generated Node #2: [53, 20, 70] from Operation: 35*2=70 Current State: 37:[53, 20, 70], Operations: ['35*2=70'] Exploring Operation: 53-20=33, Resulting Numbers: [70, 33] Generated Node #3: [70, 33] from Operation: 53-20=33 Current State: 37:[70, 33], Operations: ['35*2=70', '53-20=33'] Exploring Operation: 70-33=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
mult_heuristic
[ { "content": "Make 37 with the numbers [35, 53, 2, 20] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 37:[35, 53, 2, 20], Operations: []\nExploring Operation: 53-2=51, Resulting Numbers: [35, 20, 51]\nGenerated Node #0,0: 37:[35, 20, 51] Operation: 53-2=51\nExploring Operation: 2*20=40, Resulting Numbers: [35, 53, 40]\nGenerated Node #0,1: 37:[35, 53, 40] Operation: 2*20=40\nExploring Operation: 2+20=22, Resulting Numbers: [35, 53, 22]\nGenerated Node #0,2: 37:[35, 53, 22] Operation: 2+20=22\nExploring Operation: 35+2=37, Resulting Numbers: [53, 20, 37]\nGenerated Node #0,3: 37:[53, 20, 37] Operation: 35+2=37\nMoving to Node #0,1\nCurrent State: 37:[35, 53, 40], Operations: ['2*20=40']\nExploring Operation: 40-35=5, Resulting Numbers: [53, 5]\nGenerated Node #0,1,0: 37:[53, 5] Operation: 40-35=5\nExploring Operation: 53-35=18, Resulting Numbers: [40, 18]\nGenerated Node #0,1,1: 37:[40, 18] Operation: 53-35=18\nExploring Operation: 35+53=88, Resulting Numbers: [40, 88]\nGenerated Node #0,1,2: 37:[40, 88] Operation: 35+53=88\nExploring Operation: 53-40=13, Resulting Numbers: [35, 13]\nGenerated Node #0,1,3: 37:[35, 13] Operation: 53-40=13\nMoving to Node #0,2\nCurrent State: 37:[35, 53, 22], Operations: ['2+20=22']\nExploring Operation: 53-22=31, Resulting Numbers: [35, 31]\nGenerated Node #0,2,0: 37:[35, 31] Operation: 53-22=31\nExploring Operation: 53-35=18, Resulting Numbers: [22, 18]\nGenerated Node #0,2,1: 37:[22, 18] Operation: 53-35=18\nExploring Operation: 35+22=57, Resulting Numbers: [53, 57]\nGenerated Node #0,2,2: 37:[53, 57] Operation: 35+22=57\nExploring Operation: 35-22=13, Resulting Numbers: [53, 13]\nGenerated Node #0,2,3: 37:[53, 13] Operation: 35-22=13\nMoving to Node #0,0\nCurrent State: 37:[35, 20, 51], Operations: ['53-2=51']\nExploring Operation: 35-20=15, Resulting Numbers: [51, 15]\nGenerated Node #0,0,0: 37:[51, 15] Operation: 35-20=15\nExploring Operation: 51-20=31, Resulting Numbers: [35, 31]\nGenerated Node #0,0,1: 37:[35, 31] Operation: 51-20=31\nExploring Operation: 35+20=55, Resulting Numbers: [51, 55]\nGenerated Node #0,0,2: 37:[51, 55] Operation: 35+20=55\nExploring Operation: 20+51=71, Resulting Numbers: [35, 71]\nGenerated Node #0,0,3: 37:[35, 71] Operation: 20+51=71\nMoving to Node #0,3\nCurrent State: 37:[53, 20, 37], Operations: ['35+2=37']\nExploring Operation: 37-20=17, Resulting Numbers: [53, 17]\nGenerated Node #0,3,0: 37:[53, 17] Operation: 37-20=17\nExploring Operation: 53-20=33, Resulting Numbers: [37, 33]\nGenerated Node #0,3,1: 37:[37, 33] Operation: 53-20=33\nExploring Operation: 20+37=57, Resulting Numbers: [53, 57]\nGenerated Node #0,3,2: 37:[53, 57] Operation: 20+37=57\nExploring Operation: 53+20=73, Resulting Numbers: [37, 73]\nGenerated Node #0,3,3: 37:[37, 73] Operation: 53+20=73\nMoving to Node #0,3,1\nCurrent State: 37:[37, 33], Operations: ['35+2=37', '53-20=33']\nExploring Operation: 37*33=1221, Resulting Numbers: [1221]\n1221,37 unequal: No Solution\nExploring Operation: 37-33=4, Resulting Numbers: [4]\n4,37 unequal: No Solution\nExploring Operation: 37+33=70, Resulting Numbers: [70]\n70,37 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 37:[35, 31], Operations: ['2+20=22', '53-22=31']\nExploring Operation: 35*31=1085, Resulting Numbers: [1085]\n1085,37 unequal: No Solution\nExploring Operation: 35+31=66, Resulting Numbers: [66]\n66,37 unequal: No Solution\nExploring Operation: 35-31=4, Resulting Numbers: [4]\n4,37 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 37:[35, 31], Operations: ['53-2=51', '51-20=31']\nExploring Operation: 35*31=1085, Resulting Numbers: [1085]\n1085,37 unequal: No Solution\nExploring Operation: 35-31=4, Resulting Numbers: [4]\n4,37 unequal: No Solution\nExploring Operation: 35+31=66, Resulting Numbers: [66]\n66,37 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 37:[40, 18], Operations: ['2*20=40', '53-35=18']\nExploring Operation: 40-18=22, Resulting Numbers: [22]\n22,37 unequal: No Solution\nExploring Operation: 40*18=720, Resulting Numbers: [720]\n720,37 unequal: No Solution\nExploring Operation: 40+18=58, Resulting Numbers: [58]\n58,37 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 37:[22], Operations: ['2*20=40', '53-35=18', '40-18=22']\nMoving to Node #0,1,1,0\nCurrent State: 37:[58], Operations: ['2*20=40', '53-35=18', '40+18=58']\nMoving to Node #0,1,3\nCurrent State: 37:[35, 13], Operations: ['2*20=40', '53-40=13']\nExploring Operation: 35*13=455, Resulting Numbers: [455]\n455,37 unequal: No Solution\nExploring Operation: 35-13=22, Resulting Numbers: [22]\n22,37 unequal: No Solution\nExploring Operation: 35+13=48, Resulting Numbers: [48]\n48,37 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 37:[66], Operations: ['2+20=22', '53-22=31', '35+31=66']\nMoving to Node #0,1,3,0\nCurrent State: 37:[48], Operations: ['2*20=40', '53-40=13', '35+13=48']\nMoving to Node #0,1,3,0\nCurrent State: 37:[22], Operations: ['2*20=40', '53-40=13', '35-13=22']\nMoving to Node #0,0,1,0\nCurrent State: 37:[66], Operations: ['53-2=51', '51-20=31', '35+31=66']\nMoving to Node #0,0,2\nCurrent State: 37:[51, 55], Operations: ['53-2=51', '35+20=55']\nExploring Operation: 51+55=106, Resulting Numbers: [106]\n106,37 unequal: No Solution\nExploring Operation: 55-51=4, Resulting Numbers: [4]\n4,37 unequal: No Solution\nExploring Operation: 51*55=2805, Resulting Numbers: [2805]\n2805,37 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 37:[4], Operations: ['35+2=37', '53-20=33', '37-33=4']\nMoving to Node #0,3,1,0\nCurrent State: 37:[70], Operations: ['35+2=37', '53-20=33', '37+33=70']\nMoving to Node #0,0,1,0\nCurrent State: 37:[4], Operations: ['53-2=51', '51-20=31', '35-31=4']\nMoving to Node #0,0,2,0\nCurrent State: 37:[4], Operations: ['53-2=51', '35+20=55', '55-51=4']\nMoving to Node #0,2,0,0\nCurrent State: 37:[4], Operations: ['2+20=22', '53-22=31', '35-31=4']\nMoving to Node #0,2,1\nCurrent State: 37:[22, 18], Operations: ['2+20=22', '53-35=18']\nExploring Operation: 22-18=4, Resulting Numbers: [4]\n4,37 unequal: No Solution\nExploring Operation: 22+18=40, Resulting Numbers: [40]\n40,37 unequal: No Solution\nExploring Operation: 22*18=396, Resulting Numbers: [396]\n396,37 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 37:[53, 57], Operations: ['2+20=22', '35+22=57']\nExploring Operation: 53+57=110, Resulting Numbers: [110]\n110,37 unequal: No Solution\nExploring Operation: 53*57=3021, Resulting Numbers: [3021]\n3021,37 unequal: No Solution\nExploring Operation: 57-53=4, Resulting Numbers: [4]\n4,37 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 37:[35, 71], Operations: ['53-2=51', '20+51=71']\nExploring Operation: 35+71=106, Resulting Numbers: [106]\n106,37 unequal: No Solution\nExploring Operation: 35*71=2485, Resulting Numbers: [2485]\n2485,37 unequal: No Solution\nExploring Operation: 71-35=36, Resulting Numbers: [36]\n36,37 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 37:[36], Operations: ['53-2=51', '20+51=71', '71-35=36']\nMoving to Node #0,2,1,0\nCurrent State: 37:[40], Operations: ['2+20=22', '53-35=18', '22+18=40']\nMoving to Node #0,2,1,0\nCurrent State: 37:[4], Operations: ['2+20=22', '53-35=18', '22-18=4']\nMoving to Node #0,2,2,0\nCurrent State: 37:[4], Operations: ['2+20=22', '35+22=57', '57-53=4']\nMoving to Node #0,0,0\nCurrent State: 37:[51, 15], Operations: ['53-2=51', '35-20=15']\nExploring Operation: 51+15=66, Resulting Numbers: [66]\n66,37 unequal: No Solution\nExploring Operation: 51-15=36, Resulting Numbers: [36]\n36,37 unequal: No Solution\nExploring Operation: 51*15=765, Resulting Numbers: [765]\n765,37 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 37:[53, 17], Operations: ['35+2=37', '37-20=17']\nExploring Operation: 53*17=901, Resulting Numbers: [901]\n901,37 unequal: No Solution\nExploring Operation: 53-17=36, Resulting Numbers: [36]\n36,37 unequal: No Solution\nExploring Operation: 53+17=70, Resulting Numbers: [70]\n70,37 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 37:[37, 73], Operations: ['35+2=37', '53+20=73']\nExploring Operation: 73-37=36, Resulting Numbers: [36]\n36,37 unequal: No Solution\nExploring Operation: 37*73=2701, Resulting Numbers: [2701]\n2701,37 unequal: No Solution\nExploring Operation: 37+73=110, Resulting Numbers: [110]\n110,37 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 37:[53, 57], Operations: ['35+2=37', '20+37=57']\nExploring Operation: 53*57=3021, Resulting Numbers: [3021]\n3021,37 unequal: No Solution\nExploring Operation: 53+57=110, Resulting Numbers: [110]\n110,37 unequal: No Solution\nExploring Operation: 57-53=4, Resulting Numbers: [4]\n4,37 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 37:[36], Operations: ['53-2=51', '35-20=15', '51-15=36']\nMoving to Node #0,3,0,0\nCurrent State: 37:[36], Operations: ['35+2=37', '37-20=17', '53-17=36']\nMoving to Node #0,3,3,0\nCurrent State: 37:[36], Operations: ['35+2=37', '53+20=73', '73-37=36']\nMoving to Node #0,0,0,0\nCurrent State: 37:[66], Operations: ['53-2=51', '35-20=15', '51+15=66']\nMoving to Node #0,3,2,0\nCurrent State: 37:[4], Operations: ['35+2=37', '20+37=57', '57-53=4']\nMoving to Node #0,3,0,0\nCurrent State: 37:[70], Operations: ['35+2=37', '37-20=17', '53+17=70']\nMoving to Node #0,2,3\nCurrent State: 37:[53, 13], Operations: ['2+20=22', '35-22=13']\nExploring Operation: 53-13=40, Resulting Numbers: [40]\n40,37 unequal: No Solution\nExploring Operation: 53*13=689, Resulting Numbers: [689]\n689,37 unequal: No Solution\nExploring Operation: 53+13=66, Resulting Numbers: [66]\n66,37 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 37:[53, 5], Operations: ['2*20=40', '40-35=5']\nExploring Operation: 53-5=48, Resulting Numbers: [48]\n48,37 unequal: No Solution\nExploring Operation: 53*5=265, Resulting Numbers: [265]\n265,37 unequal: No Solution\nExploring Operation: 53+5=58, Resulting Numbers: [58]\n58,37 unequal: No Solution\nMoving to Node #0,2,3,0\nCurrent State: 37:[40], Operations: ['2+20=22', '35-22=13', '53-13=40']\nMoving to Node #0,1,0,0\nCurrent State: 37:[48], Operations: ['2*20=40', '40-35=5', '53-5=48']\nMoving to Node #0,1,0,0\nCurrent State: 37:[58], Operations: ['2*20=40', '40-35=5', '53+5=58']\nMoving to Node #0,2,3,0\nCurrent State: 37:[66], Operations: ['2+20=22', '35-22=13', '53+13=66']\nMoving to Node #0,1,2\nCurrent State: 37:[40, 88], Operations: ['2*20=40', '35+53=88']\nExploring Operation: 88-40=48, Resulting Numbers: [48]\n48,37 unequal: No Solution\nExploring Operation: 40*88=3520, Resulting Numbers: [3520]\n3520,37 unequal: No Solution\nExploring Operation: 40+88=128, Resulting Numbers: [128]\n128,37 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 37:[106], Operations: ['53-2=51', '35+20=55', '51+55=106']\nMoving to Node #0,0,3,0\nCurrent State: 37:[106], Operations: ['53-2=51', '20+51=71', '35+71=106']\nMoving to Node #0,3,2,0\nCurrent State: 37:[110], Operations: ['35+2=37', '20+37=57', '53+57=110']\nMoving to Node #0,1,2,0\nCurrent State: 37:[48], Operations: ['2*20=40', '35+53=88', '88-40=48']\nMoving to Node #0,3,3,0\nCurrent State: 37:[110], Operations: ['35+2=37', '53+20=73', '37+73=110']\nMoving to Node #0,2,2,0\nCurrent State: 37:[110], Operations: ['2+20=22', '35+22=57', '53+57=110']\nMoving to Node #0,1,2,0\nCurrent State: 37:[128], Operations: ['2*20=40', '35+53=88', '40+88=128']\nMoving to Node #0,1,0,0\nCurrent State: 37:[265], Operations: ['2*20=40', '40-35=5', '53*5=265']\nMoving to Node #0,2,1,0\nCurrent State: 37:[396], Operations: ['2+20=22', '53-35=18', '22*18=396']\nMoving to Node #0,1,3,0\nCurrent State: 37:[455], Operations: ['2*20=40', '53-40=13', '35*13=455']\nMoving to Node #0,2,3,0\nCurrent State: 37:[689], Operations: ['2+20=22', '35-22=13', '53*13=689']\nMoving to Node #0,1,1,0\nCurrent State: 37:[720], Operations: ['2*20=40', '53-35=18', '40*18=720']\nMoving to Node #0,0,0,0\nCurrent State: 37:[765], Operations: ['53-2=51', '35-20=15', '51*15=765']\nMoving to Node #0,3,0,0\nCurrent State: 37:[901], Operations: ['35+2=37', '37-20=17', '53*17=901']\nMoving to Node #0,2,0,0\nCurrent State: 37:[1085], Operations: ['2+20=22', '53-22=31', '35*31=1085']\nMoving to Node #0,0,1,0\nCurrent State: 37:[1085], Operations: ['53-2=51', '51-20=31', '35*31=1085']\nMoving to Node #0,3,1,0\nCurrent State: 37:[1221], Operations: ['35+2=37', '53-20=33', '37*33=1221']\nMoving to Node #0,0,3,0\nCurrent State: 37:[2485], Operations: ['53-2=51', '20+51=71', '35*71=2485']\nMoving to Node #0,3,3,0\nCurrent State: 37:[2701], Operations: ['35+2=37', '53+20=73', '37*73=2701']\nMoving to Node #0,0,2,0\nCurrent State: 37:[2805], Operations: ['53-2=51', '35+20=55', '51*55=2805']\nMoving to Node #0,2,2,0\nCurrent State: 37:[3021], Operations: ['2+20=22', '35+22=57', '53*57=3021']\nMoving to Node #0,3,2,0\nCurrent State: 37:[3021], Operations: ['35+2=37', '20+37=57', '53*57=3021']\nMoving to Node #0,1,2,0\nCurrent State: 37:[3520], Operations: ['2*20=40', '35+53=88', '40*88=3520']\nNo solution found.", "role": "assistant" } ]
[ 52, 43, 10, 25 ]
24
[ "52-43=9", "25-10=15", "9+15=24" ]
Current State: 24:[52, 43, 10, 25], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [10, 25, 9] Generated Node #0,0: 24:[10, 25, 9] Operation: 52-43=9 Moving to Node #0,0 Current State: 24:[10, 25, 9], Operations: ['52-43=9'] Exploring Operation: 10+9=19, Resulting Numbers: [25, 19] Generated Node #0,0,0: 24:[25, 19] Operation: 10+9=19 Moving to Node #0,0,0 Current State: 24:[25, 19], Operations: ['52-43=9', '10+9=19'] Exploring Operation: 25-19=6, Resulting Numbers: [6] 6,24 unequal: No Solution Moving to Node #0,0,0 Current State: 24:[25, 19], Operations: ['52-43=9', '10+9=19'] Exploring Operation: 25+19=44, Resulting Numbers: [44] 44,24 unequal: No Solution Moving to Node #0,0 Current State: 24:[10, 25, 9], Operations: ['52-43=9'] Exploring Operation: 25-9=16, Resulting Numbers: [10, 16] Generated Node #0,0,1: 24:[10, 16] Operation: 25-9=16 Moving to Node #0,0,1 Current State: 24:[10, 16], Operations: ['52-43=9', '25-9=16'] Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,24 unequal: No Solution Moving to Node #0,0,1 Current State: 24:[10, 16], Operations: ['52-43=9', '25-9=16'] Exploring Operation: 16-10=6, Resulting Numbers: [6] 6,24 unequal: No Solution Moving to Node #0,0 Current State: 24:[10, 25, 9], Operations: ['52-43=9'] Exploring Operation: 25-10=15, Resulting Numbers: [9, 15] Generated Node #0,0,2: 24:[9, 15] Operation: 25-10=15 Moving to Node #0,0,2 Current State: 24:[9, 15], Operations: ['52-43=9', '25-10=15'] Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
0.991319
dfs
Current State: 24:[52, 43, 10, 25], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [10, 25, 9] Generated Node #2: [10, 25, 9] from Operation: 52-43=9 Current State: 24:[10, 25, 9], Operations: ['52-43=9'] Exploring Operation: 25-10=15, Resulting Numbers: [9, 15] Generated Node #3: [9, 15] from Operation: 25-10=15 Current State: 24:[9, 15], Operations: ['52-43=9', '25-10=15'] Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
sum_heuristic
[ { "content": "Make 24 with the numbers [52, 43, 10, 25] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 24:[52, 43, 10, 25], Operations: []\nExploring Operation: 52-43=9, Resulting Numbers: [10, 25, 9]\nGenerated Node #0,0: 24:[10, 25, 9] Operation: 52-43=9\nMoving to Node #0,0\nCurrent State: 24:[10, 25, 9], Operations: ['52-43=9']\nExploring Operation: 10+9=19, Resulting Numbers: [25, 19]\nGenerated Node #0,0,0: 24:[25, 19] Operation: 10+9=19\nMoving to Node #0,0,0\nCurrent State: 24:[25, 19], Operations: ['52-43=9', '10+9=19']\nExploring Operation: 25-19=6, Resulting Numbers: [6]\n6,24 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 24:[25, 19], Operations: ['52-43=9', '10+9=19']\nExploring Operation: 25+19=44, Resulting Numbers: [44]\n44,24 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 24:[10, 25, 9], Operations: ['52-43=9']\nExploring Operation: 25-9=16, Resulting Numbers: [10, 16]\nGenerated Node #0,0,1: 24:[10, 16] Operation: 25-9=16\nMoving to Node #0,0,1\nCurrent State: 24:[10, 16], Operations: ['52-43=9', '25-9=16']\nExploring Operation: 10+16=26, Resulting Numbers: [26]\n26,24 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 24:[10, 16], Operations: ['52-43=9', '25-9=16']\nExploring Operation: 16-10=6, Resulting Numbers: [6]\n6,24 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 24:[10, 25, 9], Operations: ['52-43=9']\nExploring Operation: 25-10=15, Resulting Numbers: [9, 15]\nGenerated Node #0,0,2: 24:[9, 15] Operation: 25-10=15\nMoving to Node #0,0,2\nCurrent State: 24:[9, 15], Operations: ['52-43=9', '25-10=15']\nExploring Operation: 9+15=24, Resulting Numbers: [24]\n24,24 equal: Goal Reached\n", "role": "assistant" } ]
[ 84, 21, 67, 23 ]
48
[ "84/21=4", "67-23=44", "4+44=48" ]
Current State: 48:[84, 21, 67, 23], Operations: [] Exploring Operation: 84-21=63, Resulting Numbers: [67, 23, 63] Generated Node #0,0: 48:[67, 23, 63] Operation: 84-21=63 Moving to Node #0,0 Current State: 48:[67, 23, 63], Operations: ['84-21=63'] Exploring Operation: 67-23=44, Resulting Numbers: [63, 44] Generated Node #0,0,0: 48:[63, 44] Operation: 67-23=44 Moving to Node #0,0,0 Current State: 48:[63, 44], Operations: ['84-21=63', '67-23=44'] Exploring Operation: 63-44=19, Resulting Numbers: [19] 19,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[67, 23, 63], Operations: ['84-21=63'] Exploring Operation: 63-23=40, Resulting Numbers: [67, 40] Generated Node #0,0,1: 48:[67, 40] Operation: 63-23=40 Moving to Node #0,0,1 Current State: 48:[67, 40], Operations: ['84-21=63', '63-23=40'] Exploring Operation: 67-40=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[67, 23, 63], Operations: ['84-21=63'] Exploring Operation: 67+23=90, Resulting Numbers: [63, 90] Generated Node #0,0,2: 48:[63, 90] Operation: 67+23=90 Moving to Node #0,0,2 Current State: 48:[63, 90], Operations: ['84-21=63', '67+23=90'] Exploring Operation: 90-63=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[67, 23, 63], Operations: ['84-21=63'] Exploring Operation: 23+63=86, Resulting Numbers: [67, 86] Generated Node #0,0,3: 48:[67, 86] Operation: 23+63=86 Moving to Node #0,0,3 Current State: 48:[67, 86], Operations: ['84-21=63', '23+63=86'] Exploring Operation: 86-67=19, Resulting Numbers: [19] 19,48 unequal: No Solution Moving to Node #0,0 Current State: 48:[67, 23, 63], Operations: ['84-21=63'] Exploring Operation: 67-63=4, Resulting Numbers: [23, 4] Generated Node #0,0,4: 48:[23, 4] Operation: 67-63=4 Moving to Node #0,0,4 Current State: 48:[23, 4], Operations: ['84-21=63', '67-63=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,0,4 Current State: 48:[23, 4], Operations: ['84-21=63', '67-63=4'] Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,48 unequal: No Solution Moving to Node #0,0,4 Current State: 48:[23, 4], Operations: ['84-21=63', '67-63=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,48 unequal: No Solution Moving to Node #0 Current State: 48:[84, 21, 67, 23], Operations: [] Exploring Operation: 84-23=61, Resulting Numbers: [21, 67, 61] Generated Node #0,1: 48:[21, 67, 61] Operation: 84-23=61 Moving to Node #0,1 Current State: 48:[21, 67, 61], Operations: ['84-23=61'] Exploring Operation: 67-21=46, Resulting Numbers: [61, 46] Generated Node #0,1,0: 48:[61, 46] Operation: 67-21=46 Moving to Node #0,1,0 Current State: 48:[61, 46], Operations: ['84-23=61', '67-21=46'] Exploring Operation: 61-46=15, Resulting Numbers: [15] 15,48 unequal: No Solution Moving to Node #0,1 Current State: 48:[21, 67, 61], Operations: ['84-23=61'] Exploring Operation: 61-21=40, Resulting Numbers: [67, 40] Generated Node #0,1,1: 48:[67, 40] Operation: 61-21=40 Moving to Node #0,1,1 Current State: 48:[67, 40], Operations: ['84-23=61', '61-21=40'] Exploring Operation: 67-40=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,1 Current State: 48:[21, 67, 61], Operations: ['84-23=61'] Exploring Operation: 21+67=88, Resulting Numbers: [61, 88] Generated Node #0,1,2: 48:[61, 88] Operation: 21+67=88 Moving to Node #0,1,2 Current State: 48:[61, 88], Operations: ['84-23=61', '21+67=88'] Exploring Operation: 88-61=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,1 Current State: 48:[21, 67, 61], Operations: ['84-23=61'] Exploring Operation: 21+61=82, Resulting Numbers: [67, 82] Generated Node #0,1,3: 48:[67, 82] Operation: 21+61=82 Moving to Node #0,1,3 Current State: 48:[67, 82], Operations: ['84-23=61', '21+61=82'] Exploring Operation: 82-67=15, Resulting Numbers: [15] 15,48 unequal: No Solution Moving to Node #0,1 Current State: 48:[21, 67, 61], Operations: ['84-23=61'] Exploring Operation: 67-61=6, Resulting Numbers: [21, 6] Generated Node #0,1,4: 48:[21, 6] Operation: 67-61=6 Moving to Node #0,1,4 Current State: 48:[21, 6], Operations: ['84-23=61', '67-61=6'] Exploring Operation: 21+6=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,1,4 Current State: 48:[21, 6], Operations: ['84-23=61', '67-61=6'] Exploring Operation: 21-6=15, Resulting Numbers: [15] 15,48 unequal: No Solution Moving to Node #0 Current State: 48:[84, 21, 67, 23], Operations: [] Exploring Operation: 21+23=44, Resulting Numbers: [84, 67, 44] Generated Node #0,2: 48:[84, 67, 44] Operation: 21+23=44 Moving to Node #0,2 Current State: 48:[84, 67, 44], Operations: ['21+23=44'] Exploring Operation: 84-44=40, Resulting Numbers: [67, 40] Generated Node #0,2,0: 48:[67, 40] Operation: 84-44=40 Moving to Node #0,2,0 Current State: 48:[67, 40], Operations: ['21+23=44', '84-44=40'] Exploring Operation: 67-40=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,2 Current State: 48:[84, 67, 44], Operations: ['21+23=44'] Exploring Operation: 84-67=17, Resulting Numbers: [44, 17] Generated Node #0,2,1: 48:[44, 17] Operation: 84-67=17 Moving to Node #0,2,1 Current State: 48:[44, 17], Operations: ['21+23=44', '84-67=17'] Exploring Operation: 44+17=61, Resulting Numbers: [61] 61,48 unequal: No Solution Moving to Node #0,2,1 Current State: 48:[44, 17], Operations: ['21+23=44', '84-67=17'] Exploring Operation: 44-17=27, Resulting Numbers: [27] 27,48 unequal: No Solution Moving to Node #0,2 Current State: 48:[84, 67, 44], Operations: ['21+23=44'] Exploring Operation: 67-44=23, Resulting Numbers: [84, 23] Generated Node #0,2,2: 48:[84, 23] Operation: 67-44=23 Moving to Node #0,2,2 Current State: 48:[84, 23], Operations: ['21+23=44', '67-44=23'] Exploring Operation: 84-23=61, Resulting Numbers: [61] 61,48 unequal: No Solution Moving to Node #0 Current State: 48:[84, 21, 67, 23], Operations: [] Exploring Operation: 67-21=46, Resulting Numbers: [84, 23, 46] Generated Node #0,3: 48:[84, 23, 46] Operation: 67-21=46 Moving to Node #0,3 Current State: 48:[84, 23, 46], Operations: ['67-21=46'] Exploring Operation: 84-23=61, Resulting Numbers: [46, 61] Generated Node #0,3,0: 48:[46, 61] Operation: 84-23=61 Moving to Node #0,3,0 Current State: 48:[46, 61], Operations: ['67-21=46', '84-23=61'] Exploring Operation: 61-46=15, Resulting Numbers: [15] 15,48 unequal: No Solution Moving to Node #0,3 Current State: 48:[84, 23, 46], Operations: ['67-21=46'] Exploring Operation: 84-46=38, Resulting Numbers: [23, 38] Generated Node #0,3,1: 48:[23, 38] Operation: 84-46=38 Moving to Node #0,3,1 Current State: 48:[23, 38], Operations: ['67-21=46', '84-46=38'] Exploring Operation: 23+38=61, Resulting Numbers: [61] 61,48 unequal: No Solution Moving to Node #0,3,1 Current State: 48:[23, 38], Operations: ['67-21=46', '84-46=38'] Exploring Operation: 38-23=15, Resulting Numbers: [15] 15,48 unequal: No Solution Moving to Node #0,3 Current State: 48:[84, 23, 46], Operations: ['67-21=46'] Exploring Operation: 23+46=69, Resulting Numbers: [84, 69] Generated Node #0,3,2: 48:[84, 69] Operation: 23+46=69 Moving to Node #0,3,2 Current State: 48:[84, 69], Operations: ['67-21=46', '23+46=69'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,48 unequal: No Solution Moving to Node #0,3 Current State: 48:[84, 23, 46], Operations: ['67-21=46'] Exploring Operation: 84+23=107, Resulting Numbers: [46, 107] Generated Node #0,3,3: 48:[46, 107] Operation: 84+23=107 Moving to Node #0,3,3 Current State: 48:[46, 107], Operations: ['67-21=46', '84+23=107'] Exploring Operation: 107-46=61, Resulting Numbers: [61] 61,48 unequal: No Solution Moving to Node #0,3 Current State: 48:[84, 23, 46], Operations: ['67-21=46'] Exploring Operation: 46-23=23, Resulting Numbers: [84, 23] Generated Node #0,3,4: 48:[84, 23] Operation: 46-23=23 Moving to Node #0,3,4 Current State: 48:[84, 23], Operations: ['67-21=46', '46-23=23'] Exploring Operation: 84-23=61, Resulting Numbers: [61] 61,48 unequal: No Solution Moving to Node #0,3 Current State: 48:[84, 23, 46], Operations: ['67-21=46'] Exploring Operation: 46/23=2, Resulting Numbers: [84, 2] Generated Node #0,3,5: 48:[84, 2] Operation: 46/23=2 Moving to Node #0,3,5 Current State: 48:[84, 2], Operations: ['67-21=46', '46/23=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,48 unequal: No Solution Moving to Node #0,3,5 Current State: 48:[84, 2], Operations: ['67-21=46', '46/23=2'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,48 unequal: No Solution Moving to Node #0,3,5 Current State: 48:[84, 2], Operations: ['67-21=46', '46/23=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,48 unequal: No Solution Moving to Node #0 Current State: 48:[84, 21, 67, 23], Operations: [] Exploring Operation: 67-23=44, Resulting Numbers: [84, 21, 44] Generated Node #0,4: 48:[84, 21, 44] Operation: 67-23=44 Moving to Node #0,4 Current State: 48:[84, 21, 44], Operations: ['67-23=44'] Exploring Operation: 84-21=63, Resulting Numbers: [44, 63] Generated Node #0,4,0: 48:[44, 63] Operation: 84-21=63 Moving to Node #0,4,0 Current State: 48:[44, 63], Operations: ['67-23=44', '84-21=63'] Exploring Operation: 63-44=19, Resulting Numbers: [19] 19,48 unequal: No Solution Moving to Node #0,4 Current State: 48:[84, 21, 44], Operations: ['67-23=44'] Exploring Operation: 84-44=40, Resulting Numbers: [21, 40] Generated Node #0,4,1: 48:[21, 40] Operation: 84-44=40 Moving to Node #0,4,1 Current State: 48:[21, 40], Operations: ['67-23=44', '84-44=40'] Exploring Operation: 21+40=61, Resulting Numbers: [61] 61,48 unequal: No Solution Moving to Node #0,4,1 Current State: 48:[21, 40], Operations: ['67-23=44', '84-44=40'] Exploring Operation: 40-21=19, Resulting Numbers: [19] 19,48 unequal: No Solution Moving to Node #0,4 Current State: 48:[84, 21, 44], Operations: ['67-23=44'] Exploring Operation: 84/21=4, Resulting Numbers: [44, 4] Generated Node #0,4,2: 48:[44, 4] Operation: 84/21=4 Moving to Node #0,4,2 Current State: 48:[44, 4], Operations: ['67-23=44', '84/21=4'] Exploring Operation: 44+4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
0.949653
dfs
Current State: 48:[84, 21, 67, 23], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [67, 23, 4] Generated Node #2: [67, 23, 4] from Operation: 84/21=4 Current State: 48:[67, 23, 4], Operations: ['84/21=4'] Exploring Operation: 67-23=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 67-23=44 Current State: 48:[4, 44], Operations: ['84/21=4', '67-23=44'] Exploring Operation: 4+44=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
sum_heuristic
[ { "content": "Make 48 with the numbers [84, 21, 67, 23] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 48:[84, 21, 67, 23], Operations: []\nExploring Operation: 84-21=63, Resulting Numbers: [67, 23, 63]\nGenerated Node #0,0: 48:[67, 23, 63] Operation: 84-21=63\nMoving to Node #0,0\nCurrent State: 48:[67, 23, 63], Operations: ['84-21=63']\nExploring Operation: 67-23=44, Resulting Numbers: [63, 44]\nGenerated Node #0,0,0: 48:[63, 44] Operation: 67-23=44\nMoving to Node #0,0,0\nCurrent State: 48:[63, 44], Operations: ['84-21=63', '67-23=44']\nExploring Operation: 63-44=19, Resulting Numbers: [19]\n19,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[67, 23, 63], Operations: ['84-21=63']\nExploring Operation: 63-23=40, Resulting Numbers: [67, 40]\nGenerated Node #0,0,1: 48:[67, 40] Operation: 63-23=40\nMoving to Node #0,0,1\nCurrent State: 48:[67, 40], Operations: ['84-21=63', '63-23=40']\nExploring Operation: 67-40=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[67, 23, 63], Operations: ['84-21=63']\nExploring Operation: 67+23=90, Resulting Numbers: [63, 90]\nGenerated Node #0,0,2: 48:[63, 90] Operation: 67+23=90\nMoving to Node #0,0,2\nCurrent State: 48:[63, 90], Operations: ['84-21=63', '67+23=90']\nExploring Operation: 90-63=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[67, 23, 63], Operations: ['84-21=63']\nExploring Operation: 23+63=86, Resulting Numbers: [67, 86]\nGenerated Node #0,0,3: 48:[67, 86] Operation: 23+63=86\nMoving to Node #0,0,3\nCurrent State: 48:[67, 86], Operations: ['84-21=63', '23+63=86']\nExploring Operation: 86-67=19, Resulting Numbers: [19]\n19,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[67, 23, 63], Operations: ['84-21=63']\nExploring Operation: 67-63=4, Resulting Numbers: [23, 4]\nGenerated Node #0,0,4: 48:[23, 4] Operation: 67-63=4\nMoving to Node #0,0,4\nCurrent State: 48:[23, 4], Operations: ['84-21=63', '67-63=4']\nExploring Operation: 23+4=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 48:[23, 4], Operations: ['84-21=63', '67-63=4']\nExploring Operation: 23-4=19, Resulting Numbers: [19]\n19,48 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 48:[23, 4], Operations: ['84-21=63', '67-63=4']\nExploring Operation: 23*4=92, Resulting Numbers: [92]\n92,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[84, 21, 67, 23], Operations: []\nExploring Operation: 84-23=61, Resulting Numbers: [21, 67, 61]\nGenerated Node #0,1: 48:[21, 67, 61] Operation: 84-23=61\nMoving to Node #0,1\nCurrent State: 48:[21, 67, 61], Operations: ['84-23=61']\nExploring Operation: 67-21=46, Resulting Numbers: [61, 46]\nGenerated Node #0,1,0: 48:[61, 46] Operation: 67-21=46\nMoving to Node #0,1,0\nCurrent State: 48:[61, 46], Operations: ['84-23=61', '67-21=46']\nExploring Operation: 61-46=15, Resulting Numbers: [15]\n15,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[21, 67, 61], Operations: ['84-23=61']\nExploring Operation: 61-21=40, Resulting Numbers: [67, 40]\nGenerated Node #0,1,1: 48:[67, 40] Operation: 61-21=40\nMoving to Node #0,1,1\nCurrent State: 48:[67, 40], Operations: ['84-23=61', '61-21=40']\nExploring Operation: 67-40=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[21, 67, 61], Operations: ['84-23=61']\nExploring Operation: 21+67=88, Resulting Numbers: [61, 88]\nGenerated Node #0,1,2: 48:[61, 88] Operation: 21+67=88\nMoving to Node #0,1,2\nCurrent State: 48:[61, 88], Operations: ['84-23=61', '21+67=88']\nExploring Operation: 88-61=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[21, 67, 61], Operations: ['84-23=61']\nExploring Operation: 21+61=82, Resulting Numbers: [67, 82]\nGenerated Node #0,1,3: 48:[67, 82] Operation: 21+61=82\nMoving to Node #0,1,3\nCurrent State: 48:[67, 82], Operations: ['84-23=61', '21+61=82']\nExploring Operation: 82-67=15, Resulting Numbers: [15]\n15,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[21, 67, 61], Operations: ['84-23=61']\nExploring Operation: 67-61=6, Resulting Numbers: [21, 6]\nGenerated Node #0,1,4: 48:[21, 6] Operation: 67-61=6\nMoving to Node #0,1,4\nCurrent State: 48:[21, 6], Operations: ['84-23=61', '67-61=6']\nExploring Operation: 21+6=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 48:[21, 6], Operations: ['84-23=61', '67-61=6']\nExploring Operation: 21-6=15, Resulting Numbers: [15]\n15,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[84, 21, 67, 23], Operations: []\nExploring Operation: 21+23=44, Resulting Numbers: [84, 67, 44]\nGenerated Node #0,2: 48:[84, 67, 44] Operation: 21+23=44\nMoving to Node #0,2\nCurrent State: 48:[84, 67, 44], Operations: ['21+23=44']\nExploring Operation: 84-44=40, Resulting Numbers: [67, 40]\nGenerated Node #0,2,0: 48:[67, 40] Operation: 84-44=40\nMoving to Node #0,2,0\nCurrent State: 48:[67, 40], Operations: ['21+23=44', '84-44=40']\nExploring Operation: 67-40=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[84, 67, 44], Operations: ['21+23=44']\nExploring Operation: 84-67=17, Resulting Numbers: [44, 17]\nGenerated Node #0,2,1: 48:[44, 17] Operation: 84-67=17\nMoving to Node #0,2,1\nCurrent State: 48:[44, 17], Operations: ['21+23=44', '84-67=17']\nExploring Operation: 44+17=61, Resulting Numbers: [61]\n61,48 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 48:[44, 17], Operations: ['21+23=44', '84-67=17']\nExploring Operation: 44-17=27, Resulting Numbers: [27]\n27,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[84, 67, 44], Operations: ['21+23=44']\nExploring Operation: 67-44=23, Resulting Numbers: [84, 23]\nGenerated Node #0,2,2: 48:[84, 23] Operation: 67-44=23\nMoving to Node #0,2,2\nCurrent State: 48:[84, 23], Operations: ['21+23=44', '67-44=23']\nExploring Operation: 84-23=61, Resulting Numbers: [61]\n61,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[84, 21, 67, 23], Operations: []\nExploring Operation: 67-21=46, Resulting Numbers: [84, 23, 46]\nGenerated Node #0,3: 48:[84, 23, 46] Operation: 67-21=46\nMoving to Node #0,3\nCurrent State: 48:[84, 23, 46], Operations: ['67-21=46']\nExploring Operation: 84-23=61, Resulting Numbers: [46, 61]\nGenerated Node #0,3,0: 48:[46, 61] Operation: 84-23=61\nMoving to Node #0,3,0\nCurrent State: 48:[46, 61], Operations: ['67-21=46', '84-23=61']\nExploring Operation: 61-46=15, Resulting Numbers: [15]\n15,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[84, 23, 46], Operations: ['67-21=46']\nExploring Operation: 84-46=38, Resulting Numbers: [23, 38]\nGenerated Node #0,3,1: 48:[23, 38] Operation: 84-46=38\nMoving to Node #0,3,1\nCurrent State: 48:[23, 38], Operations: ['67-21=46', '84-46=38']\nExploring Operation: 23+38=61, Resulting Numbers: [61]\n61,48 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 48:[23, 38], Operations: ['67-21=46', '84-46=38']\nExploring Operation: 38-23=15, Resulting Numbers: [15]\n15,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[84, 23, 46], Operations: ['67-21=46']\nExploring Operation: 23+46=69, Resulting Numbers: [84, 69]\nGenerated Node #0,3,2: 48:[84, 69] Operation: 23+46=69\nMoving to Node #0,3,2\nCurrent State: 48:[84, 69], Operations: ['67-21=46', '23+46=69']\nExploring Operation: 84-69=15, Resulting Numbers: [15]\n15,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[84, 23, 46], Operations: ['67-21=46']\nExploring Operation: 84+23=107, Resulting Numbers: [46, 107]\nGenerated Node #0,3,3: 48:[46, 107] Operation: 84+23=107\nMoving to Node #0,3,3\nCurrent State: 48:[46, 107], Operations: ['67-21=46', '84+23=107']\nExploring Operation: 107-46=61, Resulting Numbers: [61]\n61,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[84, 23, 46], Operations: ['67-21=46']\nExploring Operation: 46-23=23, Resulting Numbers: [84, 23]\nGenerated Node #0,3,4: 48:[84, 23] Operation: 46-23=23\nMoving to Node #0,3,4\nCurrent State: 48:[84, 23], Operations: ['67-21=46', '46-23=23']\nExploring Operation: 84-23=61, Resulting Numbers: [61]\n61,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[84, 23, 46], Operations: ['67-21=46']\nExploring Operation: 46/23=2, Resulting Numbers: [84, 2]\nGenerated Node #0,3,5: 48:[84, 2] Operation: 46/23=2\nMoving to Node #0,3,5\nCurrent State: 48:[84, 2], Operations: ['67-21=46', '46/23=2']\nExploring Operation: 84/2=42, Resulting Numbers: [42]\n42,48 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 48:[84, 2], Operations: ['67-21=46', '46/23=2']\nExploring Operation: 84-2=82, Resulting Numbers: [82]\n82,48 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 48:[84, 2], Operations: ['67-21=46', '46/23=2']\nExploring Operation: 84+2=86, Resulting Numbers: [86]\n86,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[84, 21, 67, 23], Operations: []\nExploring Operation: 67-23=44, Resulting Numbers: [84, 21, 44]\nGenerated Node #0,4: 48:[84, 21, 44] Operation: 67-23=44\nMoving to Node #0,4\nCurrent State: 48:[84, 21, 44], Operations: ['67-23=44']\nExploring Operation: 84-21=63, Resulting Numbers: [44, 63]\nGenerated Node #0,4,0: 48:[44, 63] Operation: 84-21=63\nMoving to Node #0,4,0\nCurrent State: 48:[44, 63], Operations: ['67-23=44', '84-21=63']\nExploring Operation: 63-44=19, Resulting Numbers: [19]\n19,48 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 48:[84, 21, 44], Operations: ['67-23=44']\nExploring Operation: 84-44=40, Resulting Numbers: [21, 40]\nGenerated Node #0,4,1: 48:[21, 40] Operation: 84-44=40\nMoving to Node #0,4,1\nCurrent State: 48:[21, 40], Operations: ['67-23=44', '84-44=40']\nExploring Operation: 21+40=61, Resulting Numbers: [61]\n61,48 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 48:[21, 40], Operations: ['67-23=44', '84-44=40']\nExploring Operation: 40-21=19, Resulting Numbers: [19]\n19,48 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 48:[84, 21, 44], Operations: ['67-23=44']\nExploring Operation: 84/21=4, Resulting Numbers: [44, 4]\nGenerated Node #0,4,2: 48:[44, 4] Operation: 84/21=4\nMoving to Node #0,4,2\nCurrent State: 48:[44, 4], Operations: ['67-23=44', '84/21=4']\nExploring Operation: 44+4=48, Resulting Numbers: [48]\n48,48 equal: Goal Reached\n", "role": "assistant" } ]
[ 34, 5, 71, 46 ]
29
[ "71-46=25", "25/5=5", "34-5=29" ]
Current State: 29:[34, 5, 71, 46], Operations: [] Exploring Operation: 71-46=25, Resulting Numbers: [34, 5, 25] Generated Node #0,0: 29:[34, 5, 25] Operation: 71-46=25 Moving to Node #0,0 Current State: 29:[34, 5, 25], Operations: ['71-46=25'] Exploring Operation: 34-5=29, Resulting Numbers: [25, 29] Generated Node #0,0,0: 29:[25, 29] Operation: 34-5=29 Moving to Node #0,0,0 Current State: 29:[25, 29], Operations: ['71-46=25', '34-5=29'] Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,29 unequal: No Solution Moving to Node #0,0,0 Current State: 29:[25, 29], Operations: ['71-46=25', '34-5=29'] Exploring Operation: 29-25=4, Resulting Numbers: [4] 4,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[34, 5, 25], Operations: ['71-46=25'] Exploring Operation: 5+25=30, Resulting Numbers: [34, 30] Generated Node #0,0,1: 29:[34, 30] Operation: 5+25=30 Moving to Node #0,0,1 Current State: 29:[34, 30], Operations: ['71-46=25', '5+25=30'] Exploring Operation: 34-30=4, Resulting Numbers: [4] 4,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[34, 5, 25], Operations: ['71-46=25'] Exploring Operation: 34+5=39, Resulting Numbers: [25, 39] Generated Node #0,0,2: 29:[25, 39] Operation: 34+5=39 Moving to Node #0,0,2 Current State: 29:[25, 39], Operations: ['71-46=25', '34+5=39'] Exploring Operation: 39-25=14, Resulting Numbers: [14] 14,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[34, 5, 25], Operations: ['71-46=25'] Exploring Operation: 25-5=20, Resulting Numbers: [34, 20] Generated Node #0,0,3: 29:[34, 20] Operation: 25-5=20 Moving to Node #0,0,3 Current State: 29:[34, 20], Operations: ['71-46=25', '25-5=20'] Exploring Operation: 34-20=14, Resulting Numbers: [14] 14,29 unequal: No Solution Moving to Node #0,0,3 Current State: 29:[34, 20], Operations: ['71-46=25', '25-5=20'] Exploring Operation: 34+20=54, Resulting Numbers: [54] 54,29 unequal: No Solution Moving to Node #0,0 Current State: 29:[34, 5, 25], Operations: ['71-46=25'] Exploring Operation: 25/5=5, Resulting Numbers: [34, 5] Generated Node #0,0,4: 29:[34, 5] Operation: 25/5=5 Moving to Node #0,0,4 Current State: 29:[34, 5], Operations: ['71-46=25', '25/5=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
0.987847
dfs
Current State: 29:[34, 5, 71, 46], Operations: [] Exploring Operation: 71-46=25, Resulting Numbers: [34, 5, 25] Generated Node #2: [34, 5, 25] from Operation: 71-46=25 Current State: 29:[34, 5, 25], Operations: ['71-46=25'] Exploring Operation: 25/5=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 25/5=5 Current State: 29:[34, 5], Operations: ['71-46=25', '25/5=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
sum_heuristic
[ { "content": "Make 29 with the numbers [34, 5, 71, 46] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 29:[34, 5, 71, 46], Operations: []\nExploring Operation: 71-46=25, Resulting Numbers: [34, 5, 25]\nGenerated Node #0,0: 29:[34, 5, 25] Operation: 71-46=25\nMoving to Node #0,0\nCurrent State: 29:[34, 5, 25], Operations: ['71-46=25']\nExploring Operation: 34-5=29, Resulting Numbers: [25, 29]\nGenerated Node #0,0,0: 29:[25, 29] Operation: 34-5=29\nMoving to Node #0,0,0\nCurrent State: 29:[25, 29], Operations: ['71-46=25', '34-5=29']\nExploring Operation: 25+29=54, Resulting Numbers: [54]\n54,29 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 29:[25, 29], Operations: ['71-46=25', '34-5=29']\nExploring Operation: 29-25=4, Resulting Numbers: [4]\n4,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[34, 5, 25], Operations: ['71-46=25']\nExploring Operation: 5+25=30, Resulting Numbers: [34, 30]\nGenerated Node #0,0,1: 29:[34, 30] Operation: 5+25=30\nMoving to Node #0,0,1\nCurrent State: 29:[34, 30], Operations: ['71-46=25', '5+25=30']\nExploring Operation: 34-30=4, Resulting Numbers: [4]\n4,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[34, 5, 25], Operations: ['71-46=25']\nExploring Operation: 34+5=39, Resulting Numbers: [25, 39]\nGenerated Node #0,0,2: 29:[25, 39] Operation: 34+5=39\nMoving to Node #0,0,2\nCurrent State: 29:[25, 39], Operations: ['71-46=25', '34+5=39']\nExploring Operation: 39-25=14, Resulting Numbers: [14]\n14,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[34, 5, 25], Operations: ['71-46=25']\nExploring Operation: 25-5=20, Resulting Numbers: [34, 20]\nGenerated Node #0,0,3: 29:[34, 20] Operation: 25-5=20\nMoving to Node #0,0,3\nCurrent State: 29:[34, 20], Operations: ['71-46=25', '25-5=20']\nExploring Operation: 34-20=14, Resulting Numbers: [14]\n14,29 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 29:[34, 20], Operations: ['71-46=25', '25-5=20']\nExploring Operation: 34+20=54, Resulting Numbers: [54]\n54,29 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 29:[34, 5, 25], Operations: ['71-46=25']\nExploring Operation: 25/5=5, Resulting Numbers: [34, 5]\nGenerated Node #0,0,4: 29:[34, 5] Operation: 25/5=5\nMoving to Node #0,0,4\nCurrent State: 29:[34, 5], Operations: ['71-46=25', '25/5=5']\nExploring Operation: 34-5=29, Resulting Numbers: [29]\n29,29 equal: Goal Reached\n", "role": "assistant" } ]
[ 5, 88, 40, 73 ]
30
[ "88-5=83", "40+73=113", "113-83=30" ]
Current State: 30:[5, 88, 40, 73], Operations: [] Exploring Operation: 88-73=15, Resulting Numbers: [5, 40, 15] Generated Node #0,0: 30:[5, 40, 15] Operation: 88-73=15 Moving to Node #0,0 Current State: 30:[5, 40, 15], Operations: ['88-73=15'] Exploring Operation: 40/5=8, Resulting Numbers: [15, 8] Generated Node #0,0,0: 30:[15, 8] Operation: 40/5=8 Moving to Node #0,0,0 Current State: 30:[15, 8], Operations: ['88-73=15', '40/5=8'] Exploring Operation: 15-8=7, Resulting Numbers: [7] 7,30 unequal: No Solution Moving to Node #0,0,0 Current State: 30:[15, 8], Operations: ['88-73=15', '40/5=8'] Exploring Operation: 15+8=23, Resulting Numbers: [23] 23,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[5, 40, 15], Operations: ['88-73=15'] Exploring Operation: 40-5=35, Resulting Numbers: [15, 35] Generated Node #0,0,1: 30:[15, 35] Operation: 40-5=35 Moving to Node #0,0,1 Current State: 30:[15, 35], Operations: ['88-73=15', '40-5=35'] Exploring Operation: 35-15=20, Resulting Numbers: [20] 20,30 unequal: No Solution Moving to Node #0,0,1 Current State: 30:[15, 35], Operations: ['88-73=15', '40-5=35'] Exploring Operation: 15+35=50, Resulting Numbers: [50] 50,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[5, 40, 15], Operations: ['88-73=15'] Exploring Operation: 40-15=25, Resulting Numbers: [5, 25] Generated Node #0,0,2: 30:[5, 25] Operation: 40-15=25 Moving to Node #0,0,2 Current State: 30:[5, 25], Operations: ['88-73=15', '40-15=25'] Exploring Operation: 5+25=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
0.991319
dfs
Current State: 30:[5, 88, 40, 73], Operations: [] Exploring Operation: 88-5=83, Resulting Numbers: [40, 73, 83] Generated Node #2: [40, 73, 83] from Operation: 88-5=83 Current State: 30:[40, 73, 83], Operations: ['88-5=83'] Exploring Operation: 40+73=113, Resulting Numbers: [83, 113] Generated Node #3: [83, 113] from Operation: 40+73=113 Current State: 30:[83, 113], Operations: ['88-5=83', '40+73=113'] Exploring Operation: 113-83=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
mult_heuristic
[ { "content": "Make 30 with the numbers [5, 88, 40, 73] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 30:[5, 88, 40, 73], Operations: []\nExploring Operation: 88-73=15, Resulting Numbers: [5, 40, 15]\nGenerated Node #0,0: 30:[5, 40, 15] Operation: 88-73=15\nMoving to Node #0,0\nCurrent State: 30:[5, 40, 15], Operations: ['88-73=15']\nExploring Operation: 40/5=8, Resulting Numbers: [15, 8]\nGenerated Node #0,0,0: 30:[15, 8] Operation: 40/5=8\nMoving to Node #0,0,0\nCurrent State: 30:[15, 8], Operations: ['88-73=15', '40/5=8']\nExploring Operation: 15-8=7, Resulting Numbers: [7]\n7,30 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 30:[15, 8], Operations: ['88-73=15', '40/5=8']\nExploring Operation: 15+8=23, Resulting Numbers: [23]\n23,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[5, 40, 15], Operations: ['88-73=15']\nExploring Operation: 40-5=35, Resulting Numbers: [15, 35]\nGenerated Node #0,0,1: 30:[15, 35] Operation: 40-5=35\nMoving to Node #0,0,1\nCurrent State: 30:[15, 35], Operations: ['88-73=15', '40-5=35']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,30 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 30:[15, 35], Operations: ['88-73=15', '40-5=35']\nExploring Operation: 15+35=50, Resulting Numbers: [50]\n50,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[5, 40, 15], Operations: ['88-73=15']\nExploring Operation: 40-15=25, Resulting Numbers: [5, 25]\nGenerated Node #0,0,2: 30:[5, 25] Operation: 40-15=25\nMoving to Node #0,0,2\nCurrent State: 30:[5, 25], Operations: ['88-73=15', '40-15=25']\nExploring Operation: 5+25=30, Resulting Numbers: [30]\n30,30 equal: Goal Reached\n", "role": "assistant" } ]
[ 53, 41, 37, 17 ]
15
[ "41-37=4", "17*4=68", "68-53=15" ]
Current State: 15:[53, 41, 37, 17], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [41, 17, 16] Generated Node #0,0: 15:[41, 17, 16] Operation: 53-37=16 Exploring Operation: 53-41=12, Resulting Numbers: [37, 17, 12] Generated Node #0,1: 15:[37, 17, 12] Operation: 53-41=12 Exploring Operation: 41-37=4, Resulting Numbers: [53, 17, 4] Generated Node #0,2: 15:[53, 17, 4] Operation: 41-37=4 Moving to Node #0,1 Current State: 15:[37, 17, 12], Operations: ['53-41=12'] Exploring Operation: 37-12=25, Resulting Numbers: [17, 25] Generated Node #0,1,0: 15:[17, 25] Operation: 37-12=25 Exploring Operation: 17-12=5, Resulting Numbers: [37, 5] Generated Node #0,1,1: 15:[37, 5] Operation: 17-12=5 Exploring Operation: 37-17=20, Resulting Numbers: [12, 20] Generated Node #0,1,2: 15:[12, 20] Operation: 37-17=20 Moving to Node #0,0 Current State: 15:[41, 17, 16], Operations: ['53-37=16'] Exploring Operation: 41-17=24, Resulting Numbers: [16, 24] Generated Node #0,0,0: 15:[16, 24] Operation: 41-17=24 Exploring Operation: 17-16=1, Resulting Numbers: [41, 1] Generated Node #0,0,1: 15:[41, 1] Operation: 17-16=1 Exploring Operation: 41-16=25, Resulting Numbers: [17, 25] Generated Node #0,0,2: 15:[17, 25] Operation: 41-16=25 Moving to Node #0,2 Current State: 15:[53, 17, 4], Operations: ['41-37=4'] Exploring Operation: 53-17=36, Resulting Numbers: [4, 36] Generated Node #0,2,0: 15:[4, 36] Operation: 53-17=36 Exploring Operation: 53-4=49, Resulting Numbers: [17, 49] Generated Node #0,2,1: 15:[17, 49] Operation: 53-4=49 Exploring Operation: 17-4=13, Resulting Numbers: [53, 13] Generated Node #0,2,2: 15:[53, 13] Operation: 17-4=13 Moving to Node #0,1,2 Current State: 15:[12, 20], Operations: ['53-41=12', '37-17=20'] Exploring Operation: 12+20=32, Resulting Numbers: [32] 32,15 unequal: No Solution Exploring Operation: 12*20=240, Resulting Numbers: [240] 240,15 unequal: No Solution Exploring Operation: 20-12=8, Resulting Numbers: [8] 8,15 unequal: No Solution Moving to Node #0,0,0 Current State: 15:[16, 24], Operations: ['53-37=16', '41-17=24'] Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,15 unequal: No Solution Exploring Operation: 16*24=384, Resulting Numbers: [384] 384,15 unequal: No Solution Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,15 unequal: No Solution Moving to Node #0,0,2 Current State: 15:[17, 25], Operations: ['53-37=16', '41-16=25'] Exploring Operation: 17+25=42, Resulting Numbers: [42] 42,15 unequal: No Solution Exploring Operation: 25-17=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 17*25=425, Resulting Numbers: [425] 425,15 unequal: No Solution Moving to Node #0,1,2,0 Current State: 15:[8], Operations: ['53-41=12', '37-17=20', '20-12=8'] Moving to Node #0,0,2,0 Current State: 15:[8], Operations: ['53-37=16', '41-16=25', '25-17=8'] Moving to Node #0,0,0,0 Current State: 15:[8], Operations: ['53-37=16', '41-17=24', '24-16=8'] Moving to Node #0,1,0 Current State: 15:[17, 25], Operations: ['53-41=12', '37-12=25'] Exploring Operation: 25-17=8, Resulting Numbers: [8] 8,15 unequal: No Solution Exploring Operation: 17*25=425, Resulting Numbers: [425] 425,15 unequal: No Solution Exploring Operation: 17+25=42, Resulting Numbers: [42] 42,15 unequal: No Solution Moving to Node #0,1,2,0 Current State: 15:[32], Operations: ['53-41=12', '37-17=20', '12+20=32'] Moving to Node #0,1,1 Current State: 15:[37, 5], Operations: ['53-41=12', '17-12=5'] Exploring Operation: 37*5=185, Resulting Numbers: [185] 185,15 unequal: No Solution Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,15 unequal: No Solution Exploring Operation: 37+5=42, Resulting Numbers: [42] 42,15 unequal: No Solution Moving to Node #0,1,0,0 Current State: 15:[8], Operations: ['53-41=12', '37-12=25', '25-17=8'] Moving to Node #0,1,1,0 Current State: 15:[32], Operations: ['53-41=12', '17-12=5', '37-5=32'] Moving to Node #0,2,0 Current State: 15:[4, 36], Operations: ['41-37=4', '53-17=36'] Exploring Operation: 4+36=40, Resulting Numbers: [40] 40,15 unequal: No Solution Exploring Operation: 36/4=9, Resulting Numbers: [9] 9,15 unequal: No Solution Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,15 unequal: No Solution Moving to Node #0,2,0,0 Current State: 15:[9], Operations: ['41-37=4', '53-17=36', '36/4=9'] Moving to Node #0,2,0,0 Current State: 15:[32], Operations: ['41-37=4', '53-17=36', '36-4=32'] Moving to Node #0,0,0,0 Current State: 15:[40], Operations: ['53-37=16', '41-17=24', '16+24=40'] Moving to Node #0,2,0,0 Current State: 15:[40], Operations: ['41-37=4', '53-17=36', '4+36=40'] Moving to Node #0,1,1,0 Current State: 15:[42], Operations: ['53-41=12', '17-12=5', '37+5=42'] Moving to Node #0,0,2,0 Current State: 15:[42], Operations: ['53-37=16', '41-16=25', '17+25=42'] Moving to Node #0,1,0,0 Current State: 15:[42], Operations: ['53-41=12', '37-12=25', '17+25=42'] Moving to Node #0,0,1 Current State: 15:[41, 1], Operations: ['53-37=16', '17-16=1'] Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,15 unequal: No Solution Exploring Operation: 41/1=41, Resulting Numbers: [41] 41,15 unequal: No Solution Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[17, 49], Operations: ['41-37=4', '53-4=49'] Exploring Operation: 17*49=833, Resulting Numbers: [833] 833,15 unequal: No Solution Exploring Operation: 17+49=66, Resulting Numbers: [66] 66,15 unequal: No Solution Exploring Operation: 49-17=32, Resulting Numbers: [32] 32,15 unequal: No Solution Moving to Node #0,2,1,0 Current State: 15:[32], Operations: ['41-37=4', '53-4=49', '49-17=32'] Moving to Node #0,0,1,0 Current State: 15:[40], Operations: ['53-37=16', '17-16=1', '41-1=40'] Moving to Node #0,0,1,0 Current State: 15:[41], Operations: ['53-37=16', '17-16=1', '41/1=41'] Moving to Node #0,0,1,0 Current State: 15:[41], Operations: ['53-37=16', '17-16=1', '41*1=41'] Moving to Node #0,2,2 Current State: 15:[53, 13], Operations: ['41-37=4', '17-4=13'] Exploring Operation: 53-13=40, Resulting Numbers: [40] 40,15 unequal: No Solution Exploring Operation: 53*13=689, Resulting Numbers: [689] 689,15 unequal: No Solution Exploring Operation: 53+13=66, Resulting Numbers: [66] 66,15 unequal: No Solution Moving to Node #0,2,1,0 Current State: 15:[66], Operations: ['41-37=4', '53-4=49', '17+49=66'] Moving to Node #0,2,2,0 Current State: 15:[40], Operations: ['41-37=4', '17-4=13', '53-13=40'] Moving to Node #0,2,2,0 Current State: 15:[66], Operations: ['41-37=4', '17-4=13', '53+13=66'] Moving to Node #0,1,1,0 Current State: 15:[185], Operations: ['53-41=12', '17-12=5', '37*5=185'] Moving to Node #0,1,2,0 Current State: 15:[240], Operations: ['53-41=12', '37-17=20', '12*20=240'] Moving to Node #0,0,0,0 Current State: 15:[384], Operations: ['53-37=16', '41-17=24', '16*24=384'] Moving to Node #0,1,0,0 Current State: 15:[425], Operations: ['53-41=12', '37-12=25', '17*25=425'] Moving to Node #0,0,2,0 Current State: 15:[425], Operations: ['53-37=16', '41-16=25', '17*25=425'] Moving to Node #0,2,2,0 Current State: 15:[689], Operations: ['41-37=4', '17-4=13', '53*13=689'] Moving to Node #0,2,1,0 Current State: 15:[833], Operations: ['41-37=4', '53-4=49', '17*49=833'] No solution found.
0
bfs_3
Current State: 15:[53, 41, 37, 17], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [53, 17, 4] Generated Node #2: [53, 17, 4] from Operation: 41-37=4 Current State: 15:[53, 17, 4], Operations: ['41-37=4'] Exploring Operation: 17*4=68, Resulting Numbers: [53, 68] Generated Node #3: [53, 68] from Operation: 17*4=68 Current State: 15:[53, 68], Operations: ['41-37=4', '17*4=68'] Exploring Operation: 68-53=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
mult_heuristic
[ { "content": "Make 15 with the numbers [53, 41, 37, 17] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 15:[53, 41, 37, 17], Operations: []\nExploring Operation: 53-37=16, Resulting Numbers: [41, 17, 16]\nGenerated Node #0,0: 15:[41, 17, 16] Operation: 53-37=16\nExploring Operation: 53-41=12, Resulting Numbers: [37, 17, 12]\nGenerated Node #0,1: 15:[37, 17, 12] Operation: 53-41=12\nExploring Operation: 41-37=4, Resulting Numbers: [53, 17, 4]\nGenerated Node #0,2: 15:[53, 17, 4] Operation: 41-37=4\nMoving to Node #0,1\nCurrent State: 15:[37, 17, 12], Operations: ['53-41=12']\nExploring Operation: 37-12=25, Resulting Numbers: [17, 25]\nGenerated Node #0,1,0: 15:[17, 25] Operation: 37-12=25\nExploring Operation: 17-12=5, Resulting Numbers: [37, 5]\nGenerated Node #0,1,1: 15:[37, 5] Operation: 17-12=5\nExploring Operation: 37-17=20, Resulting Numbers: [12, 20]\nGenerated Node #0,1,2: 15:[12, 20] Operation: 37-17=20\nMoving to Node #0,0\nCurrent State: 15:[41, 17, 16], Operations: ['53-37=16']\nExploring Operation: 41-17=24, Resulting Numbers: [16, 24]\nGenerated Node #0,0,0: 15:[16, 24] Operation: 41-17=24\nExploring Operation: 17-16=1, Resulting Numbers: [41, 1]\nGenerated Node #0,0,1: 15:[41, 1] Operation: 17-16=1\nExploring Operation: 41-16=25, Resulting Numbers: [17, 25]\nGenerated Node #0,0,2: 15:[17, 25] Operation: 41-16=25\nMoving to Node #0,2\nCurrent State: 15:[53, 17, 4], Operations: ['41-37=4']\nExploring Operation: 53-17=36, Resulting Numbers: [4, 36]\nGenerated Node #0,2,0: 15:[4, 36] Operation: 53-17=36\nExploring Operation: 53-4=49, Resulting Numbers: [17, 49]\nGenerated Node #0,2,1: 15:[17, 49] Operation: 53-4=49\nExploring Operation: 17-4=13, Resulting Numbers: [53, 13]\nGenerated Node #0,2,2: 15:[53, 13] Operation: 17-4=13\nMoving to Node #0,1,2\nCurrent State: 15:[12, 20], Operations: ['53-41=12', '37-17=20']\nExploring Operation: 12+20=32, Resulting Numbers: [32]\n32,15 unequal: No Solution\nExploring Operation: 12*20=240, Resulting Numbers: [240]\n240,15 unequal: No Solution\nExploring Operation: 20-12=8, Resulting Numbers: [8]\n8,15 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 15:[16, 24], Operations: ['53-37=16', '41-17=24']\nExploring Operation: 16+24=40, Resulting Numbers: [40]\n40,15 unequal: No Solution\nExploring Operation: 16*24=384, Resulting Numbers: [384]\n384,15 unequal: No Solution\nExploring Operation: 24-16=8, Resulting Numbers: [8]\n8,15 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 15:[17, 25], Operations: ['53-37=16', '41-16=25']\nExploring Operation: 17+25=42, Resulting Numbers: [42]\n42,15 unequal: No Solution\nExploring Operation: 25-17=8, Resulting Numbers: [8]\n8,15 unequal: No Solution\nExploring Operation: 17*25=425, Resulting Numbers: [425]\n425,15 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 15:[8], Operations: ['53-41=12', '37-17=20', '20-12=8']\nMoving to Node #0,0,2,0\nCurrent State: 15:[8], Operations: ['53-37=16', '41-16=25', '25-17=8']\nMoving to Node #0,0,0,0\nCurrent State: 15:[8], Operations: ['53-37=16', '41-17=24', '24-16=8']\nMoving to Node #0,1,0\nCurrent State: 15:[17, 25], Operations: ['53-41=12', '37-12=25']\nExploring Operation: 25-17=8, Resulting Numbers: [8]\n8,15 unequal: No Solution\nExploring Operation: 17*25=425, Resulting Numbers: [425]\n425,15 unequal: No Solution\nExploring Operation: 17+25=42, Resulting Numbers: [42]\n42,15 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 15:[32], Operations: ['53-41=12', '37-17=20', '12+20=32']\nMoving to Node #0,1,1\nCurrent State: 15:[37, 5], Operations: ['53-41=12', '17-12=5']\nExploring Operation: 37*5=185, Resulting Numbers: [185]\n185,15 unequal: No Solution\nExploring Operation: 37-5=32, Resulting Numbers: [32]\n32,15 unequal: No Solution\nExploring Operation: 37+5=42, Resulting Numbers: [42]\n42,15 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 15:[8], Operations: ['53-41=12', '37-12=25', '25-17=8']\nMoving to Node #0,1,1,0\nCurrent State: 15:[32], Operations: ['53-41=12', '17-12=5', '37-5=32']\nMoving to Node #0,2,0\nCurrent State: 15:[4, 36], Operations: ['41-37=4', '53-17=36']\nExploring Operation: 4+36=40, Resulting Numbers: [40]\n40,15 unequal: No Solution\nExploring Operation: 36/4=9, Resulting Numbers: [9]\n9,15 unequal: No Solution\nExploring Operation: 36-4=32, Resulting Numbers: [32]\n32,15 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 15:[9], Operations: ['41-37=4', '53-17=36', '36/4=9']\nMoving to Node #0,2,0,0\nCurrent State: 15:[32], Operations: ['41-37=4', '53-17=36', '36-4=32']\nMoving to Node #0,0,0,0\nCurrent State: 15:[40], Operations: ['53-37=16', '41-17=24', '16+24=40']\nMoving to Node #0,2,0,0\nCurrent State: 15:[40], Operations: ['41-37=4', '53-17=36', '4+36=40']\nMoving to Node #0,1,1,0\nCurrent State: 15:[42], Operations: ['53-41=12', '17-12=5', '37+5=42']\nMoving to Node #0,0,2,0\nCurrent State: 15:[42], Operations: ['53-37=16', '41-16=25', '17+25=42']\nMoving to Node #0,1,0,0\nCurrent State: 15:[42], Operations: ['53-41=12', '37-12=25', '17+25=42']\nMoving to Node #0,0,1\nCurrent State: 15:[41, 1], Operations: ['53-37=16', '17-16=1']\nExploring Operation: 41-1=40, Resulting Numbers: [40]\n40,15 unequal: No Solution\nExploring Operation: 41/1=41, Resulting Numbers: [41]\n41,15 unequal: No Solution\nExploring Operation: 41*1=41, Resulting Numbers: [41]\n41,15 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 15:[17, 49], Operations: ['41-37=4', '53-4=49']\nExploring Operation: 17*49=833, Resulting Numbers: [833]\n833,15 unequal: No Solution\nExploring Operation: 17+49=66, Resulting Numbers: [66]\n66,15 unequal: No Solution\nExploring Operation: 49-17=32, Resulting Numbers: [32]\n32,15 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 15:[32], Operations: ['41-37=4', '53-4=49', '49-17=32']\nMoving to Node #0,0,1,0\nCurrent State: 15:[40], Operations: ['53-37=16', '17-16=1', '41-1=40']\nMoving to Node #0,0,1,0\nCurrent State: 15:[41], Operations: ['53-37=16', '17-16=1', '41/1=41']\nMoving to Node #0,0,1,0\nCurrent State: 15:[41], Operations: ['53-37=16', '17-16=1', '41*1=41']\nMoving to Node #0,2,2\nCurrent State: 15:[53, 13], Operations: ['41-37=4', '17-4=13']\nExploring Operation: 53-13=40, Resulting Numbers: [40]\n40,15 unequal: No Solution\nExploring Operation: 53*13=689, Resulting Numbers: [689]\n689,15 unequal: No Solution\nExploring Operation: 53+13=66, Resulting Numbers: [66]\n66,15 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 15:[66], Operations: ['41-37=4', '53-4=49', '17+49=66']\nMoving to Node #0,2,2,0\nCurrent State: 15:[40], Operations: ['41-37=4', '17-4=13', '53-13=40']\nMoving to Node #0,2,2,0\nCurrent State: 15:[66], Operations: ['41-37=4', '17-4=13', '53+13=66']\nMoving to Node #0,1,1,0\nCurrent State: 15:[185], Operations: ['53-41=12', '17-12=5', '37*5=185']\nMoving to Node #0,1,2,0\nCurrent State: 15:[240], Operations: ['53-41=12', '37-17=20', '12*20=240']\nMoving to Node #0,0,0,0\nCurrent State: 15:[384], Operations: ['53-37=16', '41-17=24', '16*24=384']\nMoving to Node #0,1,0,0\nCurrent State: 15:[425], Operations: ['53-41=12', '37-12=25', '17*25=425']\nMoving to Node #0,0,2,0\nCurrent State: 15:[425], Operations: ['53-37=16', '41-16=25', '17*25=425']\nMoving to Node #0,2,2,0\nCurrent State: 15:[689], Operations: ['41-37=4', '17-4=13', '53*13=689']\nMoving to Node #0,2,1,0\nCurrent State: 15:[833], Operations: ['41-37=4', '53-4=49', '17*49=833']\nNo solution found.", "role": "assistant" } ]
[ 70, 36, 10, 4 ]
31
[ "10+4=14", "70/14=5", "36-5=31" ]
Current State: 31:[70, 36, 10, 4], Operations: []
0
dfs
Current State: 31:[70, 36, 10, 4], Operations: [] Exploring Operation: 10+4=14, Resulting Numbers: [70, 36, 14] Generated Node #2: [70, 36, 14] from Operation: 10+4=14 Current State: 31:[70, 36, 14], Operations: ['10+4=14'] Exploring Operation: 70/14=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 70/14=5 Current State: 31:[36, 5], Operations: ['10+4=14', '70/14=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
mult_heuristic
[ { "content": "Make 31 with the numbers [70, 36, 10, 4] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 31:[70, 36, 10, 4], Operations: []\n", "role": "assistant" } ]
[ 29, 52, 4, 47 ]
63
[ "29+47=76", "52/4=13", "76-13=63" ]
Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 29+4=33, Resulting Numbers: [52, 47, 33] Generated Node #0,0: 63:[52, 47, 33] Operation: 29+4=33 Moving to Node #0,0 Current State: 63:[52, 47, 33], Operations: ['29+4=33'] Exploring Operation: 47+33=80, Resulting Numbers: [52, 80] Generated Node #0,0,0: 63:[52, 80] Operation: 47+33=80 Moving to Node #0,0,0 Current State: 63:[52, 80], Operations: ['29+4=33', '47+33=80'] Exploring Operation: 80-52=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[52, 47, 33], Operations: ['29+4=33'] Exploring Operation: 52+33=85, Resulting Numbers: [47, 85] Generated Node #0,0,1: 63:[47, 85] Operation: 52+33=85 Moving to Node #0,0,1 Current State: 63:[47, 85], Operations: ['29+4=33', '52+33=85'] Exploring Operation: 85-47=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[52, 47, 33], Operations: ['29+4=33'] Exploring Operation: 52-33=19, Resulting Numbers: [47, 19] Generated Node #0,0,2: 63:[47, 19] Operation: 52-33=19 Moving to Node #0,0,2 Current State: 63:[47, 19], Operations: ['29+4=33', '52-33=19'] Exploring Operation: 47+19=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,0,2 Current State: 63:[47, 19], Operations: ['29+4=33', '52-33=19'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[52, 47, 33], Operations: ['29+4=33'] Exploring Operation: 47-33=14, Resulting Numbers: [52, 14] Generated Node #0,0,3: 63:[52, 14] Operation: 47-33=14 Moving to Node #0,0,3 Current State: 63:[52, 14], Operations: ['29+4=33', '47-33=14'] Exploring Operation: 52+14=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,0,3 Current State: 63:[52, 14], Operations: ['29+4=33', '47-33=14'] Exploring Operation: 52-14=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[52, 47, 33], Operations: ['29+4=33'] Exploring Operation: 52+47=99, Resulting Numbers: [33, 99] Generated Node #0,0,4: 63:[33, 99] Operation: 52+47=99 Moving to Node #0,0,4 Current State: 63:[33, 99], Operations: ['29+4=33', '52+47=99'] Exploring Operation: 99-33=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,0,4 Current State: 63:[33, 99], Operations: ['29+4=33', '52+47=99'] Exploring Operation: 99/33=3, Resulting Numbers: [3] 3,63 unequal: No Solution Moving to Node #0,0 Current State: 63:[52, 47, 33], Operations: ['29+4=33'] Exploring Operation: 52-47=5, Resulting Numbers: [33, 5] Generated Node #0,0,5: 63:[33, 5] Operation: 52-47=5 Moving to Node #0,0,5 Current State: 63:[33, 5], Operations: ['29+4=33', '52-47=5'] Exploring Operation: 33+5=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,0,5 Current State: 63:[33, 5], Operations: ['29+4=33', '52-47=5'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0 Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 52+4=56, Resulting Numbers: [29, 47, 56] Generated Node #0,1: 63:[29, 47, 56] Operation: 52+4=56 Moving to Node #0,1 Current State: 63:[29, 47, 56], Operations: ['52+4=56'] Exploring Operation: 29+47=76, Resulting Numbers: [56, 76] Generated Node #0,1,0: 63:[56, 76] Operation: 29+47=76 Moving to Node #0,1,0 Current State: 63:[56, 76], Operations: ['52+4=56', '29+47=76'] Exploring Operation: 76-56=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[29, 47, 56], Operations: ['52+4=56'] Exploring Operation: 29+56=85, Resulting Numbers: [47, 85] Generated Node #0,1,1: 63:[47, 85] Operation: 29+56=85 Moving to Node #0,1,1 Current State: 63:[47, 85], Operations: ['52+4=56', '29+56=85'] Exploring Operation: 85-47=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[29, 47, 56], Operations: ['52+4=56'] Exploring Operation: 47-29=18, Resulting Numbers: [56, 18] Generated Node #0,1,2: 63:[56, 18] Operation: 47-29=18 Moving to Node #0,1,2 Current State: 63:[56, 18], Operations: ['52+4=56', '47-29=18'] Exploring Operation: 56+18=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,1,2 Current State: 63:[56, 18], Operations: ['52+4=56', '47-29=18'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[29, 47, 56], Operations: ['52+4=56'] Exploring Operation: 56-29=27, Resulting Numbers: [47, 27] Generated Node #0,1,3: 63:[47, 27] Operation: 56-29=27 Moving to Node #0,1,3 Current State: 63:[47, 27], Operations: ['52+4=56', '56-29=27'] Exploring Operation: 47+27=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,1,3 Current State: 63:[47, 27], Operations: ['52+4=56', '56-29=27'] Exploring Operation: 47-27=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[29, 47, 56], Operations: ['52+4=56'] Exploring Operation: 47+56=103, Resulting Numbers: [29, 103] Generated Node #0,1,4: 63:[29, 103] Operation: 47+56=103 Moving to Node #0,1,4 Current State: 63:[29, 103], Operations: ['52+4=56', '47+56=103'] Exploring Operation: 103-29=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,1 Current State: 63:[29, 47, 56], Operations: ['52+4=56'] Exploring Operation: 56-47=9, Resulting Numbers: [29, 9] Generated Node #0,1,5: 63:[29, 9] Operation: 56-47=9 Moving to Node #0,1,5 Current State: 63:[29, 9], Operations: ['52+4=56', '56-47=9'] Exploring Operation: 29+9=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,1,5 Current State: 63:[29, 9], Operations: ['52+4=56', '56-47=9'] Exploring Operation: 29-9=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0 Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 4+47=51, Resulting Numbers: [29, 52, 51] Generated Node #0,2: 63:[29, 52, 51] Operation: 4+47=51 Moving to Node #0,2 Current State: 63:[29, 52, 51], Operations: ['4+47=51'] Exploring Operation: 29+51=80, Resulting Numbers: [52, 80] Generated Node #0,2,0: 63:[52, 80] Operation: 29+51=80 Moving to Node #0,2,0 Current State: 63:[52, 80], Operations: ['4+47=51', '29+51=80'] Exploring Operation: 80-52=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[29, 52, 51], Operations: ['4+47=51'] Exploring Operation: 29+52=81, Resulting Numbers: [51, 81] Generated Node #0,2,1: 63:[51, 81] Operation: 29+52=81 Moving to Node #0,2,1 Current State: 63:[51, 81], Operations: ['4+47=51', '29+52=81'] Exploring Operation: 81-51=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[29, 52, 51], Operations: ['4+47=51'] Exploring Operation: 52-29=23, Resulting Numbers: [51, 23] Generated Node #0,2,2: 63:[51, 23] Operation: 52-29=23 Moving to Node #0,2,2 Current State: 63:[51, 23], Operations: ['4+47=51', '52-29=23'] Exploring Operation: 51+23=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,2,2 Current State: 63:[51, 23], Operations: ['4+47=51', '52-29=23'] Exploring Operation: 51-23=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[29, 52, 51], Operations: ['4+47=51'] Exploring Operation: 51-29=22, Resulting Numbers: [52, 22] Generated Node #0,2,3: 63:[52, 22] Operation: 51-29=22 Moving to Node #0,2,3 Current State: 63:[52, 22], Operations: ['4+47=51', '51-29=22'] Exploring Operation: 52+22=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,2,3 Current State: 63:[52, 22], Operations: ['4+47=51', '51-29=22'] Exploring Operation: 52-22=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[29, 52, 51], Operations: ['4+47=51'] Exploring Operation: 52+51=103, Resulting Numbers: [29, 103] Generated Node #0,2,4: 63:[29, 103] Operation: 52+51=103 Moving to Node #0,2,4 Current State: 63:[29, 103], Operations: ['4+47=51', '52+51=103'] Exploring Operation: 103-29=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,2 Current State: 63:[29, 52, 51], Operations: ['4+47=51'] Exploring Operation: 52-51=1, Resulting Numbers: [29, 1] Generated Node #0,2,5: 63:[29, 1] Operation: 52-51=1 Moving to Node #0,2,5 Current State: 63:[29, 1], Operations: ['4+47=51', '52-51=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,2,5 Current State: 63:[29, 1], Operations: ['4+47=51', '52-51=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,63 unequal: No Solution Moving to Node #0,2,5 Current State: 63:[29, 1], Operations: ['4+47=51', '52-51=1'] Exploring Operation: 29/1=29, Resulting Numbers: [29] 29,63 unequal: No Solution Moving to Node #0,2,5 Current State: 63:[29, 1], Operations: ['4+47=51', '52-51=1'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0 Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [52, 47, 25] Generated Node #0,3: 63:[52, 47, 25] Operation: 29-4=25 Moving to Node #0,3 Current State: 63:[52, 47, 25], Operations: ['29-4=25'] Exploring Operation: 47+25=72, Resulting Numbers: [52, 72] Generated Node #0,3,0: 63:[52, 72] Operation: 47+25=72 Moving to Node #0,3,0 Current State: 63:[52, 72], Operations: ['29-4=25', '47+25=72'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,3,0 Current State: 63:[52, 72], Operations: ['29-4=25', '47+25=72'] Exploring Operation: 52+72=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[52, 47, 25], Operations: ['29-4=25'] Exploring Operation: 52+25=77, Resulting Numbers: [47, 77] Generated Node #0,3,1: 63:[47, 77] Operation: 52+25=77 Moving to Node #0,3,1 Current State: 63:[47, 77], Operations: ['29-4=25', '52+25=77'] Exploring Operation: 77-47=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,3,1 Current State: 63:[47, 77], Operations: ['29-4=25', '52+25=77'] Exploring Operation: 47+77=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[52, 47, 25], Operations: ['29-4=25'] Exploring Operation: 52-25=27, Resulting Numbers: [47, 27] Generated Node #0,3,2: 63:[47, 27] Operation: 52-25=27 Moving to Node #0,3,2 Current State: 63:[47, 27], Operations: ['29-4=25', '52-25=27'] Exploring Operation: 47+27=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,3,2 Current State: 63:[47, 27], Operations: ['29-4=25', '52-25=27'] Exploring Operation: 47-27=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[52, 47, 25], Operations: ['29-4=25'] Exploring Operation: 47-25=22, Resulting Numbers: [52, 22] Generated Node #0,3,3: 63:[52, 22] Operation: 47-25=22 Moving to Node #0,3,3 Current State: 63:[52, 22], Operations: ['29-4=25', '47-25=22'] Exploring Operation: 52+22=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,3,3 Current State: 63:[52, 22], Operations: ['29-4=25', '47-25=22'] Exploring Operation: 52-22=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[52, 47, 25], Operations: ['29-4=25'] Exploring Operation: 52+47=99, Resulting Numbers: [25, 99] Generated Node #0,3,4: 63:[25, 99] Operation: 52+47=99 Moving to Node #0,3,4 Current State: 63:[25, 99], Operations: ['29-4=25', '52+47=99'] Exploring Operation: 99-25=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,3,4 Current State: 63:[25, 99], Operations: ['29-4=25', '52+47=99'] Exploring Operation: 25+99=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,3 Current State: 63:[52, 47, 25], Operations: ['29-4=25'] Exploring Operation: 52-47=5, Resulting Numbers: [25, 5] Generated Node #0,3,5: 63:[25, 5] Operation: 52-47=5 Moving to Node #0,3,5 Current State: 63:[25, 5], Operations: ['29-4=25', '52-47=5'] Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,3,5 Current State: 63:[25, 5], Operations: ['29-4=25', '52-47=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,3,5 Current State: 63:[25, 5], Operations: ['29-4=25', '52-47=5'] Exploring Operation: 25/5=5, Resulting Numbers: [5] 5,63 unequal: No Solution Moving to Node #0,3,5 Current State: 63:[25, 5], Operations: ['29-4=25', '52-47=5'] Exploring Operation: 25*5=125, Resulting Numbers: [125] 125,63 unequal: No Solution Moving to Node #0 Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 52-4=48, Resulting Numbers: [29, 47, 48] Generated Node #0,4: 63:[29, 47, 48] Operation: 52-4=48 Moving to Node #0,4 Current State: 63:[29, 47, 48], Operations: ['52-4=48'] Exploring Operation: 29+47=76, Resulting Numbers: [48, 76] Generated Node #0,4,0: 63:[48, 76] Operation: 29+47=76 Moving to Node #0,4,0 Current State: 63:[48, 76], Operations: ['52-4=48', '29+47=76'] Exploring Operation: 76-48=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,4,0 Current State: 63:[48, 76], Operations: ['52-4=48', '29+47=76'] Exploring Operation: 48+76=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[29, 47, 48], Operations: ['52-4=48'] Exploring Operation: 29+48=77, Resulting Numbers: [47, 77] Generated Node #0,4,1: 63:[47, 77] Operation: 29+48=77 Moving to Node #0,4,1 Current State: 63:[47, 77], Operations: ['52-4=48', '29+48=77'] Exploring Operation: 77-47=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,4,1 Current State: 63:[47, 77], Operations: ['52-4=48', '29+48=77'] Exploring Operation: 47+77=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[29, 47, 48], Operations: ['52-4=48'] Exploring Operation: 47-29=18, Resulting Numbers: [48, 18] Generated Node #0,4,2: 63:[48, 18] Operation: 47-29=18 Moving to Node #0,4,2 Current State: 63:[48, 18], Operations: ['52-4=48', '47-29=18'] Exploring Operation: 48+18=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,4,2 Current State: 63:[48, 18], Operations: ['52-4=48', '47-29=18'] Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[29, 47, 48], Operations: ['52-4=48'] Exploring Operation: 48-29=19, Resulting Numbers: [47, 19] Generated Node #0,4,3: 63:[47, 19] Operation: 48-29=19 Moving to Node #0,4,3 Current State: 63:[47, 19], Operations: ['52-4=48', '48-29=19'] Exploring Operation: 47+19=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,4,3 Current State: 63:[47, 19], Operations: ['52-4=48', '48-29=19'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[29, 47, 48], Operations: ['52-4=48'] Exploring Operation: 47+48=95, Resulting Numbers: [29, 95] Generated Node #0,4,4: 63:[29, 95] Operation: 47+48=95 Moving to Node #0,4,4 Current State: 63:[29, 95], Operations: ['52-4=48', '47+48=95'] Exploring Operation: 95-29=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,4,4 Current State: 63:[29, 95], Operations: ['52-4=48', '47+48=95'] Exploring Operation: 29+95=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,4 Current State: 63:[29, 47, 48], Operations: ['52-4=48'] Exploring Operation: 48-47=1, Resulting Numbers: [29, 1] Generated Node #0,4,5: 63:[29, 1] Operation: 48-47=1 Moving to Node #0,4,5 Current State: 63:[29, 1], Operations: ['52-4=48', '48-47=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,63 unequal: No Solution Moving to Node #0,4,5 Current State: 63:[29, 1], Operations: ['52-4=48', '48-47=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,63 unequal: No Solution Moving to Node #0,4,5 Current State: 63:[29, 1], Operations: ['52-4=48', '48-47=1'] Exploring Operation: 29/1=29, Resulting Numbers: [29] 29,63 unequal: No Solution Moving to Node #0,4,5 Current State: 63:[29, 1], Operations: ['52-4=48', '48-47=1'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0 Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 47-4=43, Resulting Numbers: [29, 52, 43] Generated Node #0,5: 63:[29, 52, 43] Operation: 47-4=43 Moving to Node #0,5 Current State: 63:[29, 52, 43], Operations: ['47-4=43'] Exploring Operation: 29+43=72, Resulting Numbers: [52, 72] Generated Node #0,5,0: 63:[52, 72] Operation: 29+43=72 Moving to Node #0,5,0 Current State: 63:[52, 72], Operations: ['47-4=43', '29+43=72'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,5,0 Current State: 63:[52, 72], Operations: ['47-4=43', '29+43=72'] Exploring Operation: 52+72=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[29, 52, 43], Operations: ['47-4=43'] Exploring Operation: 29+52=81, Resulting Numbers: [43, 81] Generated Node #0,5,1: 63:[43, 81] Operation: 29+52=81 Moving to Node #0,5,1 Current State: 63:[43, 81], Operations: ['47-4=43', '29+52=81'] Exploring Operation: 81-43=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,5,1 Current State: 63:[43, 81], Operations: ['47-4=43', '29+52=81'] Exploring Operation: 43+81=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[29, 52, 43], Operations: ['47-4=43'] Exploring Operation: 52-29=23, Resulting Numbers: [43, 23] Generated Node #0,5,2: 63:[43, 23] Operation: 52-29=23 Moving to Node #0,5,2 Current State: 63:[43, 23], Operations: ['47-4=43', '52-29=23'] Exploring Operation: 43+23=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,5,2 Current State: 63:[43, 23], Operations: ['47-4=43', '52-29=23'] Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[29, 52, 43], Operations: ['47-4=43'] Exploring Operation: 43-29=14, Resulting Numbers: [52, 14] Generated Node #0,5,3: 63:[52, 14] Operation: 43-29=14 Moving to Node #0,5,3 Current State: 63:[52, 14], Operations: ['47-4=43', '43-29=14'] Exploring Operation: 52+14=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,5,3 Current State: 63:[52, 14], Operations: ['47-4=43', '43-29=14'] Exploring Operation: 52-14=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[29, 52, 43], Operations: ['47-4=43'] Exploring Operation: 52+43=95, Resulting Numbers: [29, 95] Generated Node #0,5,4: 63:[29, 95] Operation: 52+43=95 Moving to Node #0,5,4 Current State: 63:[29, 95], Operations: ['47-4=43', '52+43=95'] Exploring Operation: 95-29=66, Resulting Numbers: [66] 66,63 unequal: No Solution Moving to Node #0,5,4 Current State: 63:[29, 95], Operations: ['47-4=43', '52+43=95'] Exploring Operation: 29+95=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,5 Current State: 63:[29, 52, 43], Operations: ['47-4=43'] Exploring Operation: 52-43=9, Resulting Numbers: [29, 9] Generated Node #0,5,5: 63:[29, 9] Operation: 52-43=9 Moving to Node #0,5,5 Current State: 63:[29, 9], Operations: ['47-4=43', '52-43=9'] Exploring Operation: 29+9=38, Resulting Numbers: [38] 38,63 unequal: No Solution Moving to Node #0,5,5 Current State: 63:[29, 9], Operations: ['47-4=43', '52-43=9'] Exploring Operation: 29-9=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0 Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 29*4=116, Resulting Numbers: [52, 47, 116] Generated Node #0,6: 63:[52, 47, 116] Operation: 29*4=116 Moving to Node #0,6 Current State: 63:[52, 47, 116], Operations: ['29*4=116'] Exploring Operation: 116-52=64, Resulting Numbers: [47, 64] Generated Node #0,6,0: 63:[47, 64] Operation: 116-52=64 Moving to Node #0,6,0 Current State: 63:[47, 64], Operations: ['29*4=116', '116-52=64'] Exploring Operation: 64-47=17, Resulting Numbers: [17] 17,63 unequal: No Solution Moving to Node #0,6,0 Current State: 63:[47, 64], Operations: ['29*4=116', '116-52=64'] Exploring Operation: 47+64=111, Resulting Numbers: [111] 111,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[52, 47, 116], Operations: ['29*4=116'] Exploring Operation: 116-47=69, Resulting Numbers: [52, 69] Generated Node #0,6,1: 63:[52, 69] Operation: 116-47=69 Moving to Node #0,6,1 Current State: 63:[52, 69], Operations: ['29*4=116', '116-47=69'] Exploring Operation: 69-52=17, Resulting Numbers: [17] 17,63 unequal: No Solution Moving to Node #0,6,1 Current State: 63:[52, 69], Operations: ['29*4=116', '116-47=69'] Exploring Operation: 52+69=121, Resulting Numbers: [121] 121,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[52, 47, 116], Operations: ['29*4=116'] Exploring Operation: 52+47=99, Resulting Numbers: [116, 99] Generated Node #0,6,2: 63:[116, 99] Operation: 52+47=99 Moving to Node #0,6,2 Current State: 63:[116, 99], Operations: ['29*4=116', '52+47=99'] Exploring Operation: 116-99=17, Resulting Numbers: [17] 17,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[52, 47, 116], Operations: ['29*4=116'] Exploring Operation: 52-47=5, Resulting Numbers: [116, 5] Generated Node #0,6,3: 63:[116, 5] Operation: 52-47=5 Moving to Node #0,6,3 Current State: 63:[116, 5], Operations: ['29*4=116', '52-47=5'] Exploring Operation: 116-5=111, Resulting Numbers: [111] 111,63 unequal: No Solution Moving to Node #0,6,3 Current State: 63:[116, 5], Operations: ['29*4=116', '52-47=5'] Exploring Operation: 116+5=121, Resulting Numbers: [121] 121,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[52, 47, 116], Operations: ['29*4=116'] Exploring Operation: 47+116=163, Resulting Numbers: [52, 163] Generated Node #0,6,4: 63:[52, 163] Operation: 47+116=163 Moving to Node #0,6,4 Current State: 63:[52, 163], Operations: ['29*4=116', '47+116=163'] Exploring Operation: 163-52=111, Resulting Numbers: [111] 111,63 unequal: No Solution Moving to Node #0,6 Current State: 63:[52, 47, 116], Operations: ['29*4=116'] Exploring Operation: 52+116=168, Resulting Numbers: [47, 168] Generated Node #0,6,5: 63:[47, 168] Operation: 52+116=168 Moving to Node #0,6,5 Current State: 63:[47, 168], Operations: ['29*4=116', '52+116=168'] Exploring Operation: 168-47=121, Resulting Numbers: [121] 121,63 unequal: No Solution Moving to Node #0 Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 29+47=76, Resulting Numbers: [52, 4, 76] Generated Node #0,7: 63:[52, 4, 76] Operation: 29+47=76 Moving to Node #0,7 Current State: 63:[52, 4, 76], Operations: ['29+47=76'] Exploring Operation: 52+4=56, Resulting Numbers: [76, 56] Generated Node #0,7,0: 63:[76, 56] Operation: 52+4=56 Moving to Node #0,7,0 Current State: 63:[76, 56], Operations: ['29+47=76', '52+4=56'] Exploring Operation: 76-56=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[52, 4, 76], Operations: ['29+47=76'] Exploring Operation: 76-4=72, Resulting Numbers: [52, 72] Generated Node #0,7,1: 63:[52, 72] Operation: 76-4=72 Moving to Node #0,7,1 Current State: 63:[52, 72], Operations: ['29+47=76', '76-4=72'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,7,1 Current State: 63:[52, 72], Operations: ['29+47=76', '76-4=72'] Exploring Operation: 52+72=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[52, 4, 76], Operations: ['29+47=76'] Exploring Operation: 52-4=48, Resulting Numbers: [76, 48] Generated Node #0,7,2: 63:[76, 48] Operation: 52-4=48 Moving to Node #0,7,2 Current State: 63:[76, 48], Operations: ['29+47=76', '52-4=48'] Exploring Operation: 76-48=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,7,2 Current State: 63:[76, 48], Operations: ['29+47=76', '52-4=48'] Exploring Operation: 76+48=124, Resulting Numbers: [124] 124,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[52, 4, 76], Operations: ['29+47=76'] Exploring Operation: 4+76=80, Resulting Numbers: [52, 80] Generated Node #0,7,3: 63:[52, 80] Operation: 4+76=80 Moving to Node #0,7,3 Current State: 63:[52, 80], Operations: ['29+47=76', '4+76=80'] Exploring Operation: 80-52=28, Resulting Numbers: [28] 28,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[52, 4, 76], Operations: ['29+47=76'] Exploring Operation: 76/4=19, Resulting Numbers: [52, 19] Generated Node #0,7,4: 63:[52, 19] Operation: 76/4=19 Moving to Node #0,7,4 Current State: 63:[52, 19], Operations: ['29+47=76', '76/4=19'] Exploring Operation: 52+19=71, Resulting Numbers: [71] 71,63 unequal: No Solution Moving to Node #0,7,4 Current State: 63:[52, 19], Operations: ['29+47=76', '76/4=19'] Exploring Operation: 52-19=33, Resulting Numbers: [33] 33,63 unequal: No Solution Moving to Node #0,7 Current State: 63:[52, 4, 76], Operations: ['29+47=76'] Exploring Operation: 52/4=13, Resulting Numbers: [76, 13] Generated Node #0,7,5: 63:[76, 13] Operation: 52/4=13 Moving to Node #0,7,5 Current State: 63:[76, 13], Operations: ['29+47=76', '52/4=13'] Exploring Operation: 76-13=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
0.874132
dfs
Current State: 63:[29, 52, 4, 47], Operations: [] Exploring Operation: 29+47=76, Resulting Numbers: [52, 4, 76] Generated Node #2: [52, 4, 76] from Operation: 29+47=76 Current State: 63:[52, 4, 76], Operations: ['29+47=76'] Exploring Operation: 52/4=13, Resulting Numbers: [76, 13] Generated Node #3: [76, 13] from Operation: 52/4=13 Current State: 63:[76, 13], Operations: ['29+47=76', '52/4=13'] Exploring Operation: 76-13=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
sum_heuristic
[ { "content": "Make 63 with the numbers [29, 52, 4, 47] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 29+4=33, Resulting Numbers: [52, 47, 33]\nGenerated Node #0,0: 63:[52, 47, 33] Operation: 29+4=33\nMoving to Node #0,0\nCurrent State: 63:[52, 47, 33], Operations: ['29+4=33']\nExploring Operation: 47+33=80, Resulting Numbers: [52, 80]\nGenerated Node #0,0,0: 63:[52, 80] Operation: 47+33=80\nMoving to Node #0,0,0\nCurrent State: 63:[52, 80], Operations: ['29+4=33', '47+33=80']\nExploring Operation: 80-52=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[52, 47, 33], Operations: ['29+4=33']\nExploring Operation: 52+33=85, Resulting Numbers: [47, 85]\nGenerated Node #0,0,1: 63:[47, 85] Operation: 52+33=85\nMoving to Node #0,0,1\nCurrent State: 63:[47, 85], Operations: ['29+4=33', '52+33=85']\nExploring Operation: 85-47=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[52, 47, 33], Operations: ['29+4=33']\nExploring Operation: 52-33=19, Resulting Numbers: [47, 19]\nGenerated Node #0,0,2: 63:[47, 19] Operation: 52-33=19\nMoving to Node #0,0,2\nCurrent State: 63:[47, 19], Operations: ['29+4=33', '52-33=19']\nExploring Operation: 47+19=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 63:[47, 19], Operations: ['29+4=33', '52-33=19']\nExploring Operation: 47-19=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[52, 47, 33], Operations: ['29+4=33']\nExploring Operation: 47-33=14, Resulting Numbers: [52, 14]\nGenerated Node #0,0,3: 63:[52, 14] Operation: 47-33=14\nMoving to Node #0,0,3\nCurrent State: 63:[52, 14], Operations: ['29+4=33', '47-33=14']\nExploring Operation: 52+14=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 63:[52, 14], Operations: ['29+4=33', '47-33=14']\nExploring Operation: 52-14=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[52, 47, 33], Operations: ['29+4=33']\nExploring Operation: 52+47=99, Resulting Numbers: [33, 99]\nGenerated Node #0,0,4: 63:[33, 99] Operation: 52+47=99\nMoving to Node #0,0,4\nCurrent State: 63:[33, 99], Operations: ['29+4=33', '52+47=99']\nExploring Operation: 99-33=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 63:[33, 99], Operations: ['29+4=33', '52+47=99']\nExploring Operation: 99/33=3, Resulting Numbers: [3]\n3,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[52, 47, 33], Operations: ['29+4=33']\nExploring Operation: 52-47=5, Resulting Numbers: [33, 5]\nGenerated Node #0,0,5: 63:[33, 5] Operation: 52-47=5\nMoving to Node #0,0,5\nCurrent State: 63:[33, 5], Operations: ['29+4=33', '52-47=5']\nExploring Operation: 33+5=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 63:[33, 5], Operations: ['29+4=33', '52-47=5']\nExploring Operation: 33-5=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 52+4=56, Resulting Numbers: [29, 47, 56]\nGenerated Node #0,1: 63:[29, 47, 56] Operation: 52+4=56\nMoving to Node #0,1\nCurrent State: 63:[29, 47, 56], Operations: ['52+4=56']\nExploring Operation: 29+47=76, Resulting Numbers: [56, 76]\nGenerated Node #0,1,0: 63:[56, 76] Operation: 29+47=76\nMoving to Node #0,1,0\nCurrent State: 63:[56, 76], Operations: ['52+4=56', '29+47=76']\nExploring Operation: 76-56=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[29, 47, 56], Operations: ['52+4=56']\nExploring Operation: 29+56=85, Resulting Numbers: [47, 85]\nGenerated Node #0,1,1: 63:[47, 85] Operation: 29+56=85\nMoving to Node #0,1,1\nCurrent State: 63:[47, 85], Operations: ['52+4=56', '29+56=85']\nExploring Operation: 85-47=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[29, 47, 56], Operations: ['52+4=56']\nExploring Operation: 47-29=18, Resulting Numbers: [56, 18]\nGenerated Node #0,1,2: 63:[56, 18] Operation: 47-29=18\nMoving to Node #0,1,2\nCurrent State: 63:[56, 18], Operations: ['52+4=56', '47-29=18']\nExploring Operation: 56+18=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 63:[56, 18], Operations: ['52+4=56', '47-29=18']\nExploring Operation: 56-18=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[29, 47, 56], Operations: ['52+4=56']\nExploring Operation: 56-29=27, Resulting Numbers: [47, 27]\nGenerated Node #0,1,3: 63:[47, 27] Operation: 56-29=27\nMoving to Node #0,1,3\nCurrent State: 63:[47, 27], Operations: ['52+4=56', '56-29=27']\nExploring Operation: 47+27=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 63:[47, 27], Operations: ['52+4=56', '56-29=27']\nExploring Operation: 47-27=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[29, 47, 56], Operations: ['52+4=56']\nExploring Operation: 47+56=103, Resulting Numbers: [29, 103]\nGenerated Node #0,1,4: 63:[29, 103] Operation: 47+56=103\nMoving to Node #0,1,4\nCurrent State: 63:[29, 103], Operations: ['52+4=56', '47+56=103']\nExploring Operation: 103-29=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[29, 47, 56], Operations: ['52+4=56']\nExploring Operation: 56-47=9, Resulting Numbers: [29, 9]\nGenerated Node #0,1,5: 63:[29, 9] Operation: 56-47=9\nMoving to Node #0,1,5\nCurrent State: 63:[29, 9], Operations: ['52+4=56', '56-47=9']\nExploring Operation: 29+9=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 63:[29, 9], Operations: ['52+4=56', '56-47=9']\nExploring Operation: 29-9=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 4+47=51, Resulting Numbers: [29, 52, 51]\nGenerated Node #0,2: 63:[29, 52, 51] Operation: 4+47=51\nMoving to Node #0,2\nCurrent State: 63:[29, 52, 51], Operations: ['4+47=51']\nExploring Operation: 29+51=80, Resulting Numbers: [52, 80]\nGenerated Node #0,2,0: 63:[52, 80] Operation: 29+51=80\nMoving to Node #0,2,0\nCurrent State: 63:[52, 80], Operations: ['4+47=51', '29+51=80']\nExploring Operation: 80-52=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[29, 52, 51], Operations: ['4+47=51']\nExploring Operation: 29+52=81, Resulting Numbers: [51, 81]\nGenerated Node #0,2,1: 63:[51, 81] Operation: 29+52=81\nMoving to Node #0,2,1\nCurrent State: 63:[51, 81], Operations: ['4+47=51', '29+52=81']\nExploring Operation: 81-51=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[29, 52, 51], Operations: ['4+47=51']\nExploring Operation: 52-29=23, Resulting Numbers: [51, 23]\nGenerated Node #0,2,2: 63:[51, 23] Operation: 52-29=23\nMoving to Node #0,2,2\nCurrent State: 63:[51, 23], Operations: ['4+47=51', '52-29=23']\nExploring Operation: 51+23=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 63:[51, 23], Operations: ['4+47=51', '52-29=23']\nExploring Operation: 51-23=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[29, 52, 51], Operations: ['4+47=51']\nExploring Operation: 51-29=22, Resulting Numbers: [52, 22]\nGenerated Node #0,2,3: 63:[52, 22] Operation: 51-29=22\nMoving to Node #0,2,3\nCurrent State: 63:[52, 22], Operations: ['4+47=51', '51-29=22']\nExploring Operation: 52+22=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 63:[52, 22], Operations: ['4+47=51', '51-29=22']\nExploring Operation: 52-22=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[29, 52, 51], Operations: ['4+47=51']\nExploring Operation: 52+51=103, Resulting Numbers: [29, 103]\nGenerated Node #0,2,4: 63:[29, 103] Operation: 52+51=103\nMoving to Node #0,2,4\nCurrent State: 63:[29, 103], Operations: ['4+47=51', '52+51=103']\nExploring Operation: 103-29=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[29, 52, 51], Operations: ['4+47=51']\nExploring Operation: 52-51=1, Resulting Numbers: [29, 1]\nGenerated Node #0,2,5: 63:[29, 1] Operation: 52-51=1\nMoving to Node #0,2,5\nCurrent State: 63:[29, 1], Operations: ['4+47=51', '52-51=1']\nExploring Operation: 29+1=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 63:[29, 1], Operations: ['4+47=51', '52-51=1']\nExploring Operation: 29*1=29, Resulting Numbers: [29]\n29,63 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 63:[29, 1], Operations: ['4+47=51', '52-51=1']\nExploring Operation: 29/1=29, Resulting Numbers: [29]\n29,63 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 63:[29, 1], Operations: ['4+47=51', '52-51=1']\nExploring Operation: 29-1=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 29-4=25, Resulting Numbers: [52, 47, 25]\nGenerated Node #0,3: 63:[52, 47, 25] Operation: 29-4=25\nMoving to Node #0,3\nCurrent State: 63:[52, 47, 25], Operations: ['29-4=25']\nExploring Operation: 47+25=72, Resulting Numbers: [52, 72]\nGenerated Node #0,3,0: 63:[52, 72] Operation: 47+25=72\nMoving to Node #0,3,0\nCurrent State: 63:[52, 72], Operations: ['29-4=25', '47+25=72']\nExploring Operation: 72-52=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 63:[52, 72], Operations: ['29-4=25', '47+25=72']\nExploring Operation: 52+72=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[52, 47, 25], Operations: ['29-4=25']\nExploring Operation: 52+25=77, Resulting Numbers: [47, 77]\nGenerated Node #0,3,1: 63:[47, 77] Operation: 52+25=77\nMoving to Node #0,3,1\nCurrent State: 63:[47, 77], Operations: ['29-4=25', '52+25=77']\nExploring Operation: 77-47=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 63:[47, 77], Operations: ['29-4=25', '52+25=77']\nExploring Operation: 47+77=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[52, 47, 25], Operations: ['29-4=25']\nExploring Operation: 52-25=27, Resulting Numbers: [47, 27]\nGenerated Node #0,3,2: 63:[47, 27] Operation: 52-25=27\nMoving to Node #0,3,2\nCurrent State: 63:[47, 27], Operations: ['29-4=25', '52-25=27']\nExploring Operation: 47+27=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 63:[47, 27], Operations: ['29-4=25', '52-25=27']\nExploring Operation: 47-27=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[52, 47, 25], Operations: ['29-4=25']\nExploring Operation: 47-25=22, Resulting Numbers: [52, 22]\nGenerated Node #0,3,3: 63:[52, 22] Operation: 47-25=22\nMoving to Node #0,3,3\nCurrent State: 63:[52, 22], Operations: ['29-4=25', '47-25=22']\nExploring Operation: 52+22=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 63:[52, 22], Operations: ['29-4=25', '47-25=22']\nExploring Operation: 52-22=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[52, 47, 25], Operations: ['29-4=25']\nExploring Operation: 52+47=99, Resulting Numbers: [25, 99]\nGenerated Node #0,3,4: 63:[25, 99] Operation: 52+47=99\nMoving to Node #0,3,4\nCurrent State: 63:[25, 99], Operations: ['29-4=25', '52+47=99']\nExploring Operation: 99-25=74, Resulting Numbers: [74]\n74,63 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 63:[25, 99], Operations: ['29-4=25', '52+47=99']\nExploring Operation: 25+99=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[52, 47, 25], Operations: ['29-4=25']\nExploring Operation: 52-47=5, Resulting Numbers: [25, 5]\nGenerated Node #0,3,5: 63:[25, 5] Operation: 52-47=5\nMoving to Node #0,3,5\nCurrent State: 63:[25, 5], Operations: ['29-4=25', '52-47=5']\nExploring Operation: 25+5=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 63:[25, 5], Operations: ['29-4=25', '52-47=5']\nExploring Operation: 25-5=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 63:[25, 5], Operations: ['29-4=25', '52-47=5']\nExploring Operation: 25/5=5, Resulting Numbers: [5]\n5,63 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 63:[25, 5], Operations: ['29-4=25', '52-47=5']\nExploring Operation: 25*5=125, Resulting Numbers: [125]\n125,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 52-4=48, Resulting Numbers: [29, 47, 48]\nGenerated Node #0,4: 63:[29, 47, 48] Operation: 52-4=48\nMoving to Node #0,4\nCurrent State: 63:[29, 47, 48], Operations: ['52-4=48']\nExploring Operation: 29+47=76, Resulting Numbers: [48, 76]\nGenerated Node #0,4,0: 63:[48, 76] Operation: 29+47=76\nMoving to Node #0,4,0\nCurrent State: 63:[48, 76], Operations: ['52-4=48', '29+47=76']\nExploring Operation: 76-48=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 63:[48, 76], Operations: ['52-4=48', '29+47=76']\nExploring Operation: 48+76=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[29, 47, 48], Operations: ['52-4=48']\nExploring Operation: 29+48=77, Resulting Numbers: [47, 77]\nGenerated Node #0,4,1: 63:[47, 77] Operation: 29+48=77\nMoving to Node #0,4,1\nCurrent State: 63:[47, 77], Operations: ['52-4=48', '29+48=77']\nExploring Operation: 77-47=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 63:[47, 77], Operations: ['52-4=48', '29+48=77']\nExploring Operation: 47+77=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[29, 47, 48], Operations: ['52-4=48']\nExploring Operation: 47-29=18, Resulting Numbers: [48, 18]\nGenerated Node #0,4,2: 63:[48, 18] Operation: 47-29=18\nMoving to Node #0,4,2\nCurrent State: 63:[48, 18], Operations: ['52-4=48', '47-29=18']\nExploring Operation: 48+18=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 63:[48, 18], Operations: ['52-4=48', '47-29=18']\nExploring Operation: 48-18=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[29, 47, 48], Operations: ['52-4=48']\nExploring Operation: 48-29=19, Resulting Numbers: [47, 19]\nGenerated Node #0,4,3: 63:[47, 19] Operation: 48-29=19\nMoving to Node #0,4,3\nCurrent State: 63:[47, 19], Operations: ['52-4=48', '48-29=19']\nExploring Operation: 47+19=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 63:[47, 19], Operations: ['52-4=48', '48-29=19']\nExploring Operation: 47-19=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[29, 47, 48], Operations: ['52-4=48']\nExploring Operation: 47+48=95, Resulting Numbers: [29, 95]\nGenerated Node #0,4,4: 63:[29, 95] Operation: 47+48=95\nMoving to Node #0,4,4\nCurrent State: 63:[29, 95], Operations: ['52-4=48', '47+48=95']\nExploring Operation: 95-29=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 63:[29, 95], Operations: ['52-4=48', '47+48=95']\nExploring Operation: 29+95=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 63:[29, 47, 48], Operations: ['52-4=48']\nExploring Operation: 48-47=1, Resulting Numbers: [29, 1]\nGenerated Node #0,4,5: 63:[29, 1] Operation: 48-47=1\nMoving to Node #0,4,5\nCurrent State: 63:[29, 1], Operations: ['52-4=48', '48-47=1']\nExploring Operation: 29+1=30, Resulting Numbers: [30]\n30,63 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 63:[29, 1], Operations: ['52-4=48', '48-47=1']\nExploring Operation: 29*1=29, Resulting Numbers: [29]\n29,63 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 63:[29, 1], Operations: ['52-4=48', '48-47=1']\nExploring Operation: 29/1=29, Resulting Numbers: [29]\n29,63 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 63:[29, 1], Operations: ['52-4=48', '48-47=1']\nExploring Operation: 29-1=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 47-4=43, Resulting Numbers: [29, 52, 43]\nGenerated Node #0,5: 63:[29, 52, 43] Operation: 47-4=43\nMoving to Node #0,5\nCurrent State: 63:[29, 52, 43], Operations: ['47-4=43']\nExploring Operation: 29+43=72, Resulting Numbers: [52, 72]\nGenerated Node #0,5,0: 63:[52, 72] Operation: 29+43=72\nMoving to Node #0,5,0\nCurrent State: 63:[52, 72], Operations: ['47-4=43', '29+43=72']\nExploring Operation: 72-52=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 63:[52, 72], Operations: ['47-4=43', '29+43=72']\nExploring Operation: 52+72=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[29, 52, 43], Operations: ['47-4=43']\nExploring Operation: 29+52=81, Resulting Numbers: [43, 81]\nGenerated Node #0,5,1: 63:[43, 81] Operation: 29+52=81\nMoving to Node #0,5,1\nCurrent State: 63:[43, 81], Operations: ['47-4=43', '29+52=81']\nExploring Operation: 81-43=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 63:[43, 81], Operations: ['47-4=43', '29+52=81']\nExploring Operation: 43+81=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[29, 52, 43], Operations: ['47-4=43']\nExploring Operation: 52-29=23, Resulting Numbers: [43, 23]\nGenerated Node #0,5,2: 63:[43, 23] Operation: 52-29=23\nMoving to Node #0,5,2\nCurrent State: 63:[43, 23], Operations: ['47-4=43', '52-29=23']\nExploring Operation: 43+23=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 63:[43, 23], Operations: ['47-4=43', '52-29=23']\nExploring Operation: 43-23=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[29, 52, 43], Operations: ['47-4=43']\nExploring Operation: 43-29=14, Resulting Numbers: [52, 14]\nGenerated Node #0,5,3: 63:[52, 14] Operation: 43-29=14\nMoving to Node #0,5,3\nCurrent State: 63:[52, 14], Operations: ['47-4=43', '43-29=14']\nExploring Operation: 52+14=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 63:[52, 14], Operations: ['47-4=43', '43-29=14']\nExploring Operation: 52-14=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[29, 52, 43], Operations: ['47-4=43']\nExploring Operation: 52+43=95, Resulting Numbers: [29, 95]\nGenerated Node #0,5,4: 63:[29, 95] Operation: 52+43=95\nMoving to Node #0,5,4\nCurrent State: 63:[29, 95], Operations: ['47-4=43', '52+43=95']\nExploring Operation: 95-29=66, Resulting Numbers: [66]\n66,63 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 63:[29, 95], Operations: ['47-4=43', '52+43=95']\nExploring Operation: 29+95=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 63:[29, 52, 43], Operations: ['47-4=43']\nExploring Operation: 52-43=9, Resulting Numbers: [29, 9]\nGenerated Node #0,5,5: 63:[29, 9] Operation: 52-43=9\nMoving to Node #0,5,5\nCurrent State: 63:[29, 9], Operations: ['47-4=43', '52-43=9']\nExploring Operation: 29+9=38, Resulting Numbers: [38]\n38,63 unequal: No Solution\nMoving to Node #0,5,5\nCurrent State: 63:[29, 9], Operations: ['47-4=43', '52-43=9']\nExploring Operation: 29-9=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 29*4=116, Resulting Numbers: [52, 47, 116]\nGenerated Node #0,6: 63:[52, 47, 116] Operation: 29*4=116\nMoving to Node #0,6\nCurrent State: 63:[52, 47, 116], Operations: ['29*4=116']\nExploring Operation: 116-52=64, Resulting Numbers: [47, 64]\nGenerated Node #0,6,0: 63:[47, 64] Operation: 116-52=64\nMoving to Node #0,6,0\nCurrent State: 63:[47, 64], Operations: ['29*4=116', '116-52=64']\nExploring Operation: 64-47=17, Resulting Numbers: [17]\n17,63 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 63:[47, 64], Operations: ['29*4=116', '116-52=64']\nExploring Operation: 47+64=111, Resulting Numbers: [111]\n111,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[52, 47, 116], Operations: ['29*4=116']\nExploring Operation: 116-47=69, Resulting Numbers: [52, 69]\nGenerated Node #0,6,1: 63:[52, 69] Operation: 116-47=69\nMoving to Node #0,6,1\nCurrent State: 63:[52, 69], Operations: ['29*4=116', '116-47=69']\nExploring Operation: 69-52=17, Resulting Numbers: [17]\n17,63 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 63:[52, 69], Operations: ['29*4=116', '116-47=69']\nExploring Operation: 52+69=121, Resulting Numbers: [121]\n121,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[52, 47, 116], Operations: ['29*4=116']\nExploring Operation: 52+47=99, Resulting Numbers: [116, 99]\nGenerated Node #0,6,2: 63:[116, 99] Operation: 52+47=99\nMoving to Node #0,6,2\nCurrent State: 63:[116, 99], Operations: ['29*4=116', '52+47=99']\nExploring Operation: 116-99=17, Resulting Numbers: [17]\n17,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[52, 47, 116], Operations: ['29*4=116']\nExploring Operation: 52-47=5, Resulting Numbers: [116, 5]\nGenerated Node #0,6,3: 63:[116, 5] Operation: 52-47=5\nMoving to Node #0,6,3\nCurrent State: 63:[116, 5], Operations: ['29*4=116', '52-47=5']\nExploring Operation: 116-5=111, Resulting Numbers: [111]\n111,63 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 63:[116, 5], Operations: ['29*4=116', '52-47=5']\nExploring Operation: 116+5=121, Resulting Numbers: [121]\n121,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[52, 47, 116], Operations: ['29*4=116']\nExploring Operation: 47+116=163, Resulting Numbers: [52, 163]\nGenerated Node #0,6,4: 63:[52, 163] Operation: 47+116=163\nMoving to Node #0,6,4\nCurrent State: 63:[52, 163], Operations: ['29*4=116', '47+116=163']\nExploring Operation: 163-52=111, Resulting Numbers: [111]\n111,63 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 63:[52, 47, 116], Operations: ['29*4=116']\nExploring Operation: 52+116=168, Resulting Numbers: [47, 168]\nGenerated Node #0,6,5: 63:[47, 168] Operation: 52+116=168\nMoving to Node #0,6,5\nCurrent State: 63:[47, 168], Operations: ['29*4=116', '52+116=168']\nExploring Operation: 168-47=121, Resulting Numbers: [121]\n121,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[29, 52, 4, 47], Operations: []\nExploring Operation: 29+47=76, Resulting Numbers: [52, 4, 76]\nGenerated Node #0,7: 63:[52, 4, 76] Operation: 29+47=76\nMoving to Node #0,7\nCurrent State: 63:[52, 4, 76], Operations: ['29+47=76']\nExploring Operation: 52+4=56, Resulting Numbers: [76, 56]\nGenerated Node #0,7,0: 63:[76, 56] Operation: 52+4=56\nMoving to Node #0,7,0\nCurrent State: 63:[76, 56], Operations: ['29+47=76', '52+4=56']\nExploring Operation: 76-56=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[52, 4, 76], Operations: ['29+47=76']\nExploring Operation: 76-4=72, Resulting Numbers: [52, 72]\nGenerated Node #0,7,1: 63:[52, 72] Operation: 76-4=72\nMoving to Node #0,7,1\nCurrent State: 63:[52, 72], Operations: ['29+47=76', '76-4=72']\nExploring Operation: 72-52=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 63:[52, 72], Operations: ['29+47=76', '76-4=72']\nExploring Operation: 52+72=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[52, 4, 76], Operations: ['29+47=76']\nExploring Operation: 52-4=48, Resulting Numbers: [76, 48]\nGenerated Node #0,7,2: 63:[76, 48] Operation: 52-4=48\nMoving to Node #0,7,2\nCurrent State: 63:[76, 48], Operations: ['29+47=76', '52-4=48']\nExploring Operation: 76-48=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 63:[76, 48], Operations: ['29+47=76', '52-4=48']\nExploring Operation: 76+48=124, Resulting Numbers: [124]\n124,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[52, 4, 76], Operations: ['29+47=76']\nExploring Operation: 4+76=80, Resulting Numbers: [52, 80]\nGenerated Node #0,7,3: 63:[52, 80] Operation: 4+76=80\nMoving to Node #0,7,3\nCurrent State: 63:[52, 80], Operations: ['29+47=76', '4+76=80']\nExploring Operation: 80-52=28, Resulting Numbers: [28]\n28,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[52, 4, 76], Operations: ['29+47=76']\nExploring Operation: 76/4=19, Resulting Numbers: [52, 19]\nGenerated Node #0,7,4: 63:[52, 19] Operation: 76/4=19\nMoving to Node #0,7,4\nCurrent State: 63:[52, 19], Operations: ['29+47=76', '76/4=19']\nExploring Operation: 52+19=71, Resulting Numbers: [71]\n71,63 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 63:[52, 19], Operations: ['29+47=76', '76/4=19']\nExploring Operation: 52-19=33, Resulting Numbers: [33]\n33,63 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 63:[52, 4, 76], Operations: ['29+47=76']\nExploring Operation: 52/4=13, Resulting Numbers: [76, 13]\nGenerated Node #0,7,5: 63:[76, 13] Operation: 52/4=13\nMoving to Node #0,7,5\nCurrent State: 63:[76, 13], Operations: ['29+47=76', '52/4=13']\nExploring Operation: 76-13=63, Resulting Numbers: [63]\n63,63 equal: Goal Reached\n", "role": "assistant" } ]
[ 95, 68, 15, 97 ]
85
[ "95-68=27", "15+97=112", "112-27=85" ]
Current State: 85:[95, 68, 15, 97], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [68, 15, 2] Generated Node #0,0: 85:[68, 15, 2] Operation: 97-95=2 Exploring Operation: 95-68=27, Resulting Numbers: [15, 97, 27] Generated Node #0,1: 85:[15, 97, 27] Operation: 95-68=27 Moving to Node #0,0 Current State: 85:[68, 15, 2], Operations: ['97-95=2'] Exploring Operation: 68+2=70, Resulting Numbers: [15, 70] Generated Node #0,0,0: 85:[15, 70] Operation: 68+2=70 Exploring Operation: 68+15=83, Resulting Numbers: [2, 83] Generated Node #0,0,1: 85:[2, 83] Operation: 68+15=83 Moving to Node #0,1 Current State: 85:[15, 97, 27], Operations: ['95-68=27'] Exploring Operation: 97-15=82, Resulting Numbers: [27, 82] Generated Node #0,1,0: 85:[27, 82] Operation: 97-15=82 Exploring Operation: 27-15=12, Resulting Numbers: [97, 12] Generated Node #0,1,1: 85:[97, 12] Operation: 27-15=12 Moving to Node #0,0,1 Current State: 85:[2, 83], Operations: ['97-95=2', '68+15=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,85 unequal: No Solution Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
0.992188
bfs_2
Current State: 85:[95, 68, 15, 97], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [15, 97, 27] Generated Node #2: [15, 97, 27] from Operation: 95-68=27 Current State: 85:[15, 97, 27], Operations: ['95-68=27'] Exploring Operation: 15+97=112, Resulting Numbers: [27, 112] Generated Node #3: [27, 112] from Operation: 15+97=112 Current State: 85:[27, 112], Operations: ['95-68=27', '15+97=112'] Exploring Operation: 112-27=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
mult_heuristic
[ { "content": "Make 85 with the numbers [95, 68, 15, 97] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 85:[95, 68, 15, 97], Operations: []\nExploring Operation: 97-95=2, Resulting Numbers: [68, 15, 2]\nGenerated Node #0,0: 85:[68, 15, 2] Operation: 97-95=2\nExploring Operation: 95-68=27, Resulting Numbers: [15, 97, 27]\nGenerated Node #0,1: 85:[15, 97, 27] Operation: 95-68=27\nMoving to Node #0,0\nCurrent State: 85:[68, 15, 2], Operations: ['97-95=2']\nExploring Operation: 68+2=70, Resulting Numbers: [15, 70]\nGenerated Node #0,0,0: 85:[15, 70] Operation: 68+2=70\nExploring Operation: 68+15=83, Resulting Numbers: [2, 83]\nGenerated Node #0,0,1: 85:[2, 83] Operation: 68+15=83\nMoving to Node #0,1\nCurrent State: 85:[15, 97, 27], Operations: ['95-68=27']\nExploring Operation: 97-15=82, Resulting Numbers: [27, 82]\nGenerated Node #0,1,0: 85:[27, 82] Operation: 97-15=82\nExploring Operation: 27-15=12, Resulting Numbers: [97, 12]\nGenerated Node #0,1,1: 85:[97, 12] Operation: 27-15=12\nMoving to Node #0,0,1\nCurrent State: 85:[2, 83], Operations: ['97-95=2', '68+15=83']\nExploring Operation: 83-2=81, Resulting Numbers: [81]\n81,85 unequal: No Solution\nExploring Operation: 2+83=85, Resulting Numbers: [85]\n85,85 equal: Goal Reached\n", "role": "assistant" } ]
[ 8, 30, 1, 12 ]
66
[ "8*1=8", "12*8=96", "96-30=66" ]
Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 30-8=22, Resulting Numbers: [1, 12, 22] Generated Node #0,0: 66:[1, 12, 22] Operation: 30-8=22 Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 12-1=11, Resulting Numbers: [22, 11] Generated Node #0,0,0: 66:[22, 11] Operation: 12-1=11 Moving to Node #0,0,0 Current State: 66:[22, 11], Operations: ['30-8=22', '12-1=11'] Exploring Operation: 22+11=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,0,0 Current State: 66:[22, 11], Operations: ['30-8=22', '12-1=11'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,0,0 Current State: 66:[22, 11], Operations: ['30-8=22', '12-1=11'] Exploring Operation: 22/11=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 1*12=12, Resulting Numbers: [22, 12] Generated Node #0,0,1: 66:[22, 12] Operation: 1*12=12 Moving to Node #0,0,1 Current State: 66:[22, 12], Operations: ['30-8=22', '1*12=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,0,1 Current State: 66:[22, 12], Operations: ['30-8=22', '1*12=12'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 12/1=12, Resulting Numbers: [22, 12] Generated Node #0,0,2: 66:[22, 12] Operation: 12/1=12 Moving to Node #0,0,2 Current State: 66:[22, 12], Operations: ['30-8=22', '12/1=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,0,2 Current State: 66:[22, 12], Operations: ['30-8=22', '12/1=12'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 1*22=22, Resulting Numbers: [12, 22] Generated Node #0,0,3: 66:[12, 22] Operation: 1*22=22 Moving to Node #0,0,3 Current State: 66:[12, 22], Operations: ['30-8=22', '1*22=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,0,3 Current State: 66:[12, 22], Operations: ['30-8=22', '1*22=22'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 22/1=22, Resulting Numbers: [12, 22] Generated Node #0,0,4: 66:[12, 22] Operation: 22/1=22 Moving to Node #0,0,4 Current State: 66:[12, 22], Operations: ['30-8=22', '22/1=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,0,4 Current State: 66:[12, 22], Operations: ['30-8=22', '22/1=22'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 1+12=13, Resulting Numbers: [22, 13] Generated Node #0,0,5: 66:[22, 13] Operation: 1+12=13 Moving to Node #0,0,5 Current State: 66:[22, 13], Operations: ['30-8=22', '1+12=13'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,0,5 Current State: 66:[22, 13], Operations: ['30-8=22', '1+12=13'] Exploring Operation: 22-13=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 1+22=23, Resulting Numbers: [12, 23] Generated Node #0,0,6: 66:[12, 23] Operation: 1+22=23 Moving to Node #0,0,6 Current State: 66:[12, 23], Operations: ['30-8=22', '1+22=23'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,0,6 Current State: 66:[12, 23], Operations: ['30-8=22', '1+22=23'] Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 22-1=21, Resulting Numbers: [12, 21] Generated Node #0,0,7: 66:[12, 21] Operation: 22-1=21 Moving to Node #0,0,7 Current State: 66:[12, 21], Operations: ['30-8=22', '22-1=21'] Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,0,7 Current State: 66:[12, 21], Operations: ['30-8=22', '22-1=21'] Exploring Operation: 21-12=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 12+22=34, Resulting Numbers: [1, 34] Generated Node #0,0,8: 66:[1, 34] Operation: 12+22=34 Moving to Node #0,0,8 Current State: 66:[1, 34], Operations: ['30-8=22', '12+22=34'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,0,8 Current State: 66:[1, 34], Operations: ['30-8=22', '12+22=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,0,8 Current State: 66:[1, 34], Operations: ['30-8=22', '12+22=34'] Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,0,8 Current State: 66:[1, 34], Operations: ['30-8=22', '12+22=34'] Exploring Operation: 1+34=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[1, 12, 22], Operations: ['30-8=22'] Exploring Operation: 22-12=10, Resulting Numbers: [1, 10] Generated Node #0,0,9: 66:[1, 10] Operation: 22-12=10 Moving to Node #0,0,9 Current State: 66:[1, 10], Operations: ['30-8=22', '22-12=10'] Exploring Operation: 1+10=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,0,9 Current State: 66:[1, 10], Operations: ['30-8=22', '22-12=10'] Exploring Operation: 1*10=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,0,9 Current State: 66:[1, 10], Operations: ['30-8=22', '22-12=10'] Exploring Operation: 10/1=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,0,9 Current State: 66:[1, 10], Operations: ['30-8=22', '22-12=10'] Exploring Operation: 10-1=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0 Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 8-1=7, Resulting Numbers: [30, 12, 7] Generated Node #0,1: 66:[30, 12, 7] Operation: 8-1=7 Moving to Node #0,1 Current State: 66:[30, 12, 7], Operations: ['8-1=7'] Exploring Operation: 30-7=23, Resulting Numbers: [12, 23] Generated Node #0,1,0: 66:[12, 23] Operation: 30-7=23 Moving to Node #0,1,0 Current State: 66:[12, 23], Operations: ['8-1=7', '30-7=23'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,1,0 Current State: 66:[12, 23], Operations: ['8-1=7', '30-7=23'] Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[30, 12, 7], Operations: ['8-1=7'] Exploring Operation: 12-7=5, Resulting Numbers: [30, 5] Generated Node #0,1,1: 66:[30, 5] Operation: 12-7=5 Moving to Node #0,1,1 Current State: 66:[30, 5], Operations: ['8-1=7', '12-7=5'] Exploring Operation: 30/5=6, Resulting Numbers: [6] 6,66 unequal: No Solution Moving to Node #0,1,1 Current State: 66:[30, 5], Operations: ['8-1=7', '12-7=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,1,1 Current State: 66:[30, 5], Operations: ['8-1=7', '12-7=5'] Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[30, 12, 7], Operations: ['8-1=7'] Exploring Operation: 30-12=18, Resulting Numbers: [7, 18] Generated Node #0,1,2: 66:[7, 18] Operation: 30-12=18 Moving to Node #0,1,2 Current State: 66:[7, 18], Operations: ['8-1=7', '30-12=18'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,1,2 Current State: 66:[7, 18], Operations: ['8-1=7', '30-12=18'] Exploring Operation: 7+18=25, Resulting Numbers: [25] 25,66 unequal: No Solution Moving to Node #0,1,2 Current State: 66:[7, 18], Operations: ['8-1=7', '30-12=18'] Exploring Operation: 7*18=126, Resulting Numbers: [126] 126,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[30, 12, 7], Operations: ['8-1=7'] Exploring Operation: 30+7=37, Resulting Numbers: [12, 37] Generated Node #0,1,3: 66:[12, 37] Operation: 30+7=37 Moving to Node #0,1,3 Current State: 66:[12, 37], Operations: ['8-1=7', '30+7=37'] Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,66 unequal: No Solution Moving to Node #0,1,3 Current State: 66:[12, 37], Operations: ['8-1=7', '30+7=37'] Exploring Operation: 12+37=49, Resulting Numbers: [49] 49,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[30, 12, 7], Operations: ['8-1=7'] Exploring Operation: 12+7=19, Resulting Numbers: [30, 19] Generated Node #0,1,4: 66:[30, 19] Operation: 12+7=19 Moving to Node #0,1,4 Current State: 66:[30, 19], Operations: ['8-1=7', '12+7=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,1,4 Current State: 66:[30, 19], Operations: ['8-1=7', '12+7=19'] Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[30, 12, 7], Operations: ['8-1=7'] Exploring Operation: 30+12=42, Resulting Numbers: [7, 42] Generated Node #0,1,5: 66:[7, 42] Operation: 30+12=42 Moving to Node #0,1,5 Current State: 66:[7, 42], Operations: ['8-1=7', '30+12=42'] Exploring Operation: 42/7=6, Resulting Numbers: [6] 6,66 unequal: No Solution Moving to Node #0,1,5 Current State: 66:[7, 42], Operations: ['8-1=7', '30+12=42'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,1,5 Current State: 66:[7, 42], Operations: ['8-1=7', '30+12=42'] Exploring Operation: 7+42=49, Resulting Numbers: [49] 49,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[30, 12, 7], Operations: ['8-1=7'] Exploring Operation: 12*7=84, Resulting Numbers: [30, 84] Generated Node #0,1,6: 66:[30, 84] Operation: 12*7=84 Moving to Node #0,1,6 Current State: 66:[30, 84], Operations: ['8-1=7', '12*7=84'] Exploring Operation: 84-30=54, Resulting Numbers: [54] 54,66 unequal: No Solution Moving to Node #0,1,6 Current State: 66:[30, 84], Operations: ['8-1=7', '12*7=84'] Exploring Operation: 30+84=114, Resulting Numbers: [114] 114,66 unequal: No Solution Moving to Node #0 Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [30, 1, 4] Generated Node #0,2: 66:[30, 1, 4] Operation: 12-8=4 Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 30+4=34, Resulting Numbers: [1, 34] Generated Node #0,2,0: 66:[1, 34] Operation: 30+4=34 Moving to Node #0,2,0 Current State: 66:[1, 34], Operations: ['12-8=4', '30+4=34'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,2,0 Current State: 66:[1, 34], Operations: ['12-8=4', '30+4=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,2,0 Current State: 66:[1, 34], Operations: ['12-8=4', '30+4=34'] Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,2,0 Current State: 66:[1, 34], Operations: ['12-8=4', '30+4=34'] Exploring Operation: 1+34=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 30+1=31, Resulting Numbers: [4, 31] Generated Node #0,2,1: 66:[4, 31] Operation: 30+1=31 Moving to Node #0,2,1 Current State: 66:[4, 31], Operations: ['12-8=4', '30+1=31'] Exploring Operation: 4+31=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,2,1 Current State: 66:[4, 31], Operations: ['12-8=4', '30+1=31'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,2,1 Current State: 66:[4, 31], Operations: ['12-8=4', '30+1=31'] Exploring Operation: 4*31=124, Resulting Numbers: [124] 124,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 4-1=3, Resulting Numbers: [30, 3] Generated Node #0,2,2: 66:[30, 3] Operation: 4-1=3 Moving to Node #0,2,2 Current State: 66:[30, 3], Operations: ['12-8=4', '4-1=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,2,2 Current State: 66:[30, 3], Operations: ['12-8=4', '4-1=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,2,2 Current State: 66:[30, 3], Operations: ['12-8=4', '4-1=3'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,2,2 Current State: 66:[30, 3], Operations: ['12-8=4', '4-1=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 30*1=30, Resulting Numbers: [4, 30] Generated Node #0,2,3: 66:[4, 30] Operation: 30*1=30 Moving to Node #0,2,3 Current State: 66:[4, 30], Operations: ['12-8=4', '30*1=30'] Exploring Operation: 4+30=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,2,3 Current State: 66:[4, 30], Operations: ['12-8=4', '30*1=30'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,2,3 Current State: 66:[4, 30], Operations: ['12-8=4', '30*1=30'] Exploring Operation: 4*30=120, Resulting Numbers: [120] 120,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 30/1=30, Resulting Numbers: [4, 30] Generated Node #0,2,4: 66:[4, 30] Operation: 30/1=30 Moving to Node #0,2,4 Current State: 66:[4, 30], Operations: ['12-8=4', '30/1=30'] Exploring Operation: 4+30=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,2,4 Current State: 66:[4, 30], Operations: ['12-8=4', '30/1=30'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,2,4 Current State: 66:[4, 30], Operations: ['12-8=4', '30/1=30'] Exploring Operation: 4*30=120, Resulting Numbers: [120] 120,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 1+4=5, Resulting Numbers: [30, 5] Generated Node #0,2,5: 66:[30, 5] Operation: 1+4=5 Moving to Node #0,2,5 Current State: 66:[30, 5], Operations: ['12-8=4', '1+4=5'] Exploring Operation: 30/5=6, Resulting Numbers: [6] 6,66 unequal: No Solution Moving to Node #0,2,5 Current State: 66:[30, 5], Operations: ['12-8=4', '1+4=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,2,5 Current State: 66:[30, 5], Operations: ['12-8=4', '1+4=5'] Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 1*4=4, Resulting Numbers: [30, 4] Generated Node #0,2,6: 66:[30, 4] Operation: 1*4=4 Moving to Node #0,2,6 Current State: 66:[30, 4], Operations: ['12-8=4', '1*4=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,2,6 Current State: 66:[30, 4], Operations: ['12-8=4', '1*4=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,2,6 Current State: 66:[30, 4], Operations: ['12-8=4', '1*4=4'] Exploring Operation: 30*4=120, Resulting Numbers: [120] 120,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 4/1=4, Resulting Numbers: [30, 4] Generated Node #0,2,7: 66:[30, 4] Operation: 4/1=4 Moving to Node #0,2,7 Current State: 66:[30, 4], Operations: ['12-8=4', '4/1=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,2,7 Current State: 66:[30, 4], Operations: ['12-8=4', '4/1=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,2,7 Current State: 66:[30, 4], Operations: ['12-8=4', '4/1=4'] Exploring Operation: 30*4=120, Resulting Numbers: [120] 120,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 30-1=29, Resulting Numbers: [4, 29] Generated Node #0,2,8: 66:[4, 29] Operation: 30-1=29 Moving to Node #0,2,8 Current State: 66:[4, 29], Operations: ['12-8=4', '30-1=29'] Exploring Operation: 4+29=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,2,8 Current State: 66:[4, 29], Operations: ['12-8=4', '30-1=29'] Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,66 unequal: No Solution Moving to Node #0,2,8 Current State: 66:[4, 29], Operations: ['12-8=4', '30-1=29'] Exploring Operation: 4*29=116, Resulting Numbers: [116] 116,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 30-4=26, Resulting Numbers: [1, 26] Generated Node #0,2,9: 66:[1, 26] Operation: 30-4=26 Moving to Node #0,2,9 Current State: 66:[1, 26], Operations: ['12-8=4', '30-4=26'] Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,66 unequal: No Solution Moving to Node #0,2,9 Current State: 66:[1, 26], Operations: ['12-8=4', '30-4=26'] Exploring Operation: 1*26=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,2,9 Current State: 66:[1, 26], Operations: ['12-8=4', '30-4=26'] Exploring Operation: 26/1=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,2,9 Current State: 66:[1, 26], Operations: ['12-8=4', '30-4=26'] Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[30, 1, 4], Operations: ['12-8=4'] Exploring Operation: 30*4=120, Resulting Numbers: [1, 120] Generated Node #0,2,10: 66:[1, 120] Operation: 30*4=120 Moving to Node #0,2,10 Current State: 66:[1, 120], Operations: ['12-8=4', '30*4=120'] Exploring Operation: 120-1=119, Resulting Numbers: [119] 119,66 unequal: No Solution Moving to Node #0,2,10 Current State: 66:[1, 120], Operations: ['12-8=4', '30*4=120'] Exploring Operation: 1*120=120, Resulting Numbers: [120] 120,66 unequal: No Solution Moving to Node #0,2,10 Current State: 66:[1, 120], Operations: ['12-8=4', '30*4=120'] Exploring Operation: 120/1=120, Resulting Numbers: [120] 120,66 unequal: No Solution Moving to Node #0,2,10 Current State: 66:[1, 120], Operations: ['12-8=4', '30*4=120'] Exploring Operation: 1+120=121, Resulting Numbers: [121] 121,66 unequal: No Solution Moving to Node #0 Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 30+1=31, Resulting Numbers: [8, 12, 31] Generated Node #0,3: 66:[8, 12, 31] Operation: 30+1=31 Moving to Node #0,3 Current State: 66:[8, 12, 31], Operations: ['30+1=31'] Exploring Operation: 31-8=23, Resulting Numbers: [12, 23] Generated Node #0,3,0: 66:[12, 23] Operation: 31-8=23 Moving to Node #0,3,0 Current State: 66:[12, 23], Operations: ['30+1=31', '31-8=23'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,3,0 Current State: 66:[12, 23], Operations: ['30+1=31', '31-8=23'] Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[8, 12, 31], Operations: ['30+1=31'] Exploring Operation: 12-8=4, Resulting Numbers: [31, 4] Generated Node #0,3,1: 66:[31, 4] Operation: 12-8=4 Moving to Node #0,3,1 Current State: 66:[31, 4], Operations: ['30+1=31', '12-8=4'] Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,3,1 Current State: 66:[31, 4], Operations: ['30+1=31', '12-8=4'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,3,1 Current State: 66:[31, 4], Operations: ['30+1=31', '12-8=4'] Exploring Operation: 31*4=124, Resulting Numbers: [124] 124,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[8, 12, 31], Operations: ['30+1=31'] Exploring Operation: 8+12=20, Resulting Numbers: [31, 20] Generated Node #0,3,2: 66:[31, 20] Operation: 8+12=20 Moving to Node #0,3,2 Current State: 66:[31, 20], Operations: ['30+1=31', '8+12=20'] Exploring Operation: 31-20=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,3,2 Current State: 66:[31, 20], Operations: ['30+1=31', '8+12=20'] Exploring Operation: 31+20=51, Resulting Numbers: [51] 51,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[8, 12, 31], Operations: ['30+1=31'] Exploring Operation: 31-12=19, Resulting Numbers: [8, 19] Generated Node #0,3,3: 66:[8, 19] Operation: 31-12=19 Moving to Node #0,3,3 Current State: 66:[8, 19], Operations: ['30+1=31', '31-12=19'] Exploring Operation: 19-8=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,3,3 Current State: 66:[8, 19], Operations: ['30+1=31', '31-12=19'] Exploring Operation: 8+19=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[8, 12, 31], Operations: ['30+1=31'] Exploring Operation: 8+31=39, Resulting Numbers: [12, 39] Generated Node #0,3,4: 66:[12, 39] Operation: 8+31=39 Moving to Node #0,3,4 Current State: 66:[12, 39], Operations: ['30+1=31', '8+31=39'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,3,4 Current State: 66:[12, 39], Operations: ['30+1=31', '8+31=39'] Exploring Operation: 12+39=51, Resulting Numbers: [51] 51,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[8, 12, 31], Operations: ['30+1=31'] Exploring Operation: 12+31=43, Resulting Numbers: [8, 43] Generated Node #0,3,5: 66:[8, 43] Operation: 12+31=43 Moving to Node #0,3,5 Current State: 66:[8, 43], Operations: ['30+1=31', '12+31=43'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,66 unequal: No Solution Moving to Node #0,3,5 Current State: 66:[8, 43], Operations: ['30+1=31', '12+31=43'] Exploring Operation: 8+43=51, Resulting Numbers: [51] 51,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[8, 12, 31], Operations: ['30+1=31'] Exploring Operation: 8*12=96, Resulting Numbers: [31, 96] Generated Node #0,3,6: 66:[31, 96] Operation: 8*12=96 Moving to Node #0,3,6 Current State: 66:[31, 96], Operations: ['30+1=31', '8*12=96'] Exploring Operation: 96-31=65, Resulting Numbers: [65] 65,66 unequal: No Solution Moving to Node #0,3,6 Current State: 66:[31, 96], Operations: ['30+1=31', '8*12=96'] Exploring Operation: 31+96=127, Resulting Numbers: [127] 127,66 unequal: No Solution Moving to Node #0 Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 12-1=11, Resulting Numbers: [8, 30, 11] Generated Node #0,4: 66:[8, 30, 11] Operation: 12-1=11 Moving to Node #0,4 Current State: 66:[8, 30, 11], Operations: ['12-1=11'] Exploring Operation: 30-8=22, Resulting Numbers: [11, 22] Generated Node #0,4,0: 66:[11, 22] Operation: 30-8=22 Moving to Node #0,4,0 Current State: 66:[11, 22], Operations: ['12-1=11', '30-8=22'] Exploring Operation: 11+22=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,4,0 Current State: 66:[11, 22], Operations: ['12-1=11', '30-8=22'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,4,0 Current State: 66:[11, 22], Operations: ['12-1=11', '30-8=22'] Exploring Operation: 22/11=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[8, 30, 11], Operations: ['12-1=11'] Exploring Operation: 11-8=3, Resulting Numbers: [30, 3] Generated Node #0,4,1: 66:[30, 3] Operation: 11-8=3 Moving to Node #0,4,1 Current State: 66:[30, 3], Operations: ['12-1=11', '11-8=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,4,1 Current State: 66:[30, 3], Operations: ['12-1=11', '11-8=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,4,1 Current State: 66:[30, 3], Operations: ['12-1=11', '11-8=3'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,4,1 Current State: 66:[30, 3], Operations: ['12-1=11', '11-8=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[8, 30, 11], Operations: ['12-1=11'] Exploring Operation: 8+30=38, Resulting Numbers: [11, 38] Generated Node #0,4,2: 66:[11, 38] Operation: 8+30=38 Moving to Node #0,4,2 Current State: 66:[11, 38], Operations: ['12-1=11', '8+30=38'] Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,4,2 Current State: 66:[11, 38], Operations: ['12-1=11', '8+30=38'] Exploring Operation: 11+38=49, Resulting Numbers: [49] 49,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[8, 30, 11], Operations: ['12-1=11'] Exploring Operation: 30-11=19, Resulting Numbers: [8, 19] Generated Node #0,4,3: 66:[8, 19] Operation: 30-11=19 Moving to Node #0,4,3 Current State: 66:[8, 19], Operations: ['12-1=11', '30-11=19'] Exploring Operation: 19-8=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,4,3 Current State: 66:[8, 19], Operations: ['12-1=11', '30-11=19'] Exploring Operation: 8+19=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[8, 30, 11], Operations: ['12-1=11'] Exploring Operation: 8+11=19, Resulting Numbers: [30, 19] Generated Node #0,4,4: 66:[30, 19] Operation: 8+11=19 Moving to Node #0,4,4 Current State: 66:[30, 19], Operations: ['12-1=11', '8+11=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,66 unequal: No Solution Moving to Node #0,4,4 Current State: 66:[30, 19], Operations: ['12-1=11', '8+11=19'] Exploring Operation: 30+19=49, Resulting Numbers: [49] 49,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[8, 30, 11], Operations: ['12-1=11'] Exploring Operation: 30+11=41, Resulting Numbers: [8, 41] Generated Node #0,4,5: 66:[8, 41] Operation: 30+11=41 Moving to Node #0,4,5 Current State: 66:[8, 41], Operations: ['12-1=11', '30+11=41'] Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,4,5 Current State: 66:[8, 41], Operations: ['12-1=11', '30+11=41'] Exploring Operation: 8+41=49, Resulting Numbers: [49] 49,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[8, 30, 11], Operations: ['12-1=11'] Exploring Operation: 8*11=88, Resulting Numbers: [30, 88] Generated Node #0,4,6: 66:[30, 88] Operation: 8*11=88 Moving to Node #0,4,6 Current State: 66:[30, 88], Operations: ['12-1=11', '8*11=88'] Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,66 unequal: No Solution Moving to Node #0,4,6 Current State: 66:[30, 88], Operations: ['12-1=11', '8*11=88'] Exploring Operation: 30+88=118, Resulting Numbers: [118] 118,66 unequal: No Solution Moving to Node #0 Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 8+1=9, Resulting Numbers: [30, 12, 9] Generated Node #0,5: 66:[30, 12, 9] Operation: 8+1=9 Moving to Node #0,5 Current State: 66:[30, 12, 9], Operations: ['8+1=9'] Exploring Operation: 30-9=21, Resulting Numbers: [12, 21] Generated Node #0,5,0: 66:[12, 21] Operation: 30-9=21 Moving to Node #0,5,0 Current State: 66:[12, 21], Operations: ['8+1=9', '30-9=21'] Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,5,0 Current State: 66:[12, 21], Operations: ['8+1=9', '30-9=21'] Exploring Operation: 21-12=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[30, 12, 9], Operations: ['8+1=9'] Exploring Operation: 12-9=3, Resulting Numbers: [30, 3] Generated Node #0,5,1: 66:[30, 3] Operation: 12-9=3 Moving to Node #0,5,1 Current State: 66:[30, 3], Operations: ['8+1=9', '12-9=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,5,1 Current State: 66:[30, 3], Operations: ['8+1=9', '12-9=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,5,1 Current State: 66:[30, 3], Operations: ['8+1=9', '12-9=3'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,5,1 Current State: 66:[30, 3], Operations: ['8+1=9', '12-9=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[30, 12, 9], Operations: ['8+1=9'] Exploring Operation: 12+9=21, Resulting Numbers: [30, 21] Generated Node #0,5,2: 66:[30, 21] Operation: 12+9=21 Moving to Node #0,5,2 Current State: 66:[30, 21], Operations: ['8+1=9', '12+9=21'] Exploring Operation: 30-21=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0,5,2 Current State: 66:[30, 21], Operations: ['8+1=9', '12+9=21'] Exploring Operation: 30+21=51, Resulting Numbers: [51] 51,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[30, 12, 9], Operations: ['8+1=9'] Exploring Operation: 30-12=18, Resulting Numbers: [9, 18] Generated Node #0,5,3: 66:[9, 18] Operation: 30-12=18 Moving to Node #0,5,3 Current State: 66:[9, 18], Operations: ['8+1=9', '30-12=18'] Exploring Operation: 18/9=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,5,3 Current State: 66:[9, 18], Operations: ['8+1=9', '30-12=18'] Exploring Operation: 18-9=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0,5,3 Current State: 66:[9, 18], Operations: ['8+1=9', '30-12=18'] Exploring Operation: 9+18=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[30, 12, 9], Operations: ['8+1=9'] Exploring Operation: 30+9=39, Resulting Numbers: [12, 39] Generated Node #0,5,4: 66:[12, 39] Operation: 30+9=39 Moving to Node #0,5,4 Current State: 66:[12, 39], Operations: ['8+1=9', '30+9=39'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,66 unequal: No Solution Moving to Node #0,5,4 Current State: 66:[12, 39], Operations: ['8+1=9', '30+9=39'] Exploring Operation: 12+39=51, Resulting Numbers: [51] 51,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[30, 12, 9], Operations: ['8+1=9'] Exploring Operation: 30+12=42, Resulting Numbers: [9, 42] Generated Node #0,5,5: 66:[9, 42] Operation: 30+12=42 Moving to Node #0,5,5 Current State: 66:[9, 42], Operations: ['8+1=9', '30+12=42'] Exploring Operation: 42-9=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,5,5 Current State: 66:[9, 42], Operations: ['8+1=9', '30+12=42'] Exploring Operation: 9+42=51, Resulting Numbers: [51] 51,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[30, 12, 9], Operations: ['8+1=9'] Exploring Operation: 12*9=108, Resulting Numbers: [30, 108] Generated Node #0,5,6: 66:[30, 108] Operation: 12*9=108 Moving to Node #0,5,6 Current State: 66:[30, 108], Operations: ['8+1=9', '12*9=108'] Exploring Operation: 108-30=78, Resulting Numbers: [78] 78,66 unequal: No Solution Moving to Node #0 Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 8*1=8, Resulting Numbers: [30, 12, 8] Generated Node #0,6: 66:[30, 12, 8] Operation: 8*1=8 Moving to Node #0,6 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 30-8=22, Resulting Numbers: [12, 22] Generated Node #0,6,0: 66:[12, 22] Operation: 30-8=22 Moving to Node #0,6,0 Current State: 66:[12, 22], Operations: ['8*1=8', '30-8=22'] Exploring Operation: 12+22=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,6,0 Current State: 66:[12, 22], Operations: ['8*1=8', '30-8=22'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 12-8=4, Resulting Numbers: [30, 4] Generated Node #0,6,1: 66:[30, 4] Operation: 12-8=4 Moving to Node #0,6,1 Current State: 66:[30, 4], Operations: ['8*1=8', '12-8=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,6,1 Current State: 66:[30, 4], Operations: ['8*1=8', '12-8=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,6,1 Current State: 66:[30, 4], Operations: ['8*1=8', '12-8=4'] Exploring Operation: 30*4=120, Resulting Numbers: [120] 120,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 12+8=20, Resulting Numbers: [30, 20] Generated Node #0,6,2: 66:[30, 20] Operation: 12+8=20 Moving to Node #0,6,2 Current State: 66:[30, 20], Operations: ['8*1=8', '12+8=20'] Exploring Operation: 30-20=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,6,2 Current State: 66:[30, 20], Operations: ['8*1=8', '12+8=20'] Exploring Operation: 30+20=50, Resulting Numbers: [50] 50,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 30-12=18, Resulting Numbers: [8, 18] Generated Node #0,6,3: 66:[8, 18] Operation: 30-12=18 Moving to Node #0,6,3 Current State: 66:[8, 18], Operations: ['8*1=8', '30-12=18'] Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,66 unequal: No Solution Moving to Node #0,6,3 Current State: 66:[8, 18], Operations: ['8*1=8', '30-12=18'] Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 30+8=38, Resulting Numbers: [12, 38] Generated Node #0,6,4: 66:[12, 38] Operation: 30+8=38 Moving to Node #0,6,4 Current State: 66:[12, 38], Operations: ['8*1=8', '30+8=38'] Exploring Operation: 38-12=26, Resulting Numbers: [26] 26,66 unequal: No Solution Moving to Node #0,6,4 Current State: 66:[12, 38], Operations: ['8*1=8', '30+8=38'] Exploring Operation: 12+38=50, Resulting Numbers: [50] 50,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 30+12=42, Resulting Numbers: [8, 42] Generated Node #0,6,5: 66:[8, 42] Operation: 30+12=42 Moving to Node #0,6,5 Current State: 66:[8, 42], Operations: ['8*1=8', '30+12=42'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,66 unequal: No Solution Moving to Node #0,6,5 Current State: 66:[8, 42], Operations: ['8*1=8', '30+12=42'] Exploring Operation: 8+42=50, Resulting Numbers: [50] 50,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 12*8=96, Resulting Numbers: [30, 96] Generated Node #0,6,6: 66:[30, 96] Operation: 12*8=96 Moving to Node #0,6,6 Current State: 66:[30, 96], Operations: ['8*1=8', '12*8=96'] Exploring Operation: 96-30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
0.822049
dfs
Current State: 66:[8, 30, 1, 12], Operations: [] Exploring Operation: 8*1=8, Resulting Numbers: [30, 12, 8] Generated Node #2: [30, 12, 8] from Operation: 8*1=8 Current State: 66:[30, 12, 8], Operations: ['8*1=8'] Exploring Operation: 12*8=96, Resulting Numbers: [30, 96] Generated Node #3: [30, 96] from Operation: 12*8=96 Current State: 66:[30, 96], Operations: ['8*1=8', '12*8=96'] Exploring Operation: 96-30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
mult_heuristic
[ { "content": "Make 66 with the numbers [8, 30, 1, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 66:[8, 30, 1, 12], Operations: []\nExploring Operation: 30-8=22, Resulting Numbers: [1, 12, 22]\nGenerated Node #0,0: 66:[1, 12, 22] Operation: 30-8=22\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 12-1=11, Resulting Numbers: [22, 11]\nGenerated Node #0,0,0: 66:[22, 11] Operation: 12-1=11\nMoving to Node #0,0,0\nCurrent State: 66:[22, 11], Operations: ['30-8=22', '12-1=11']\nExploring Operation: 22+11=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 66:[22, 11], Operations: ['30-8=22', '12-1=11']\nExploring Operation: 22-11=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 66:[22, 11], Operations: ['30-8=22', '12-1=11']\nExploring Operation: 22/11=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 1*12=12, Resulting Numbers: [22, 12]\nGenerated Node #0,0,1: 66:[22, 12] Operation: 1*12=12\nMoving to Node #0,0,1\nCurrent State: 66:[22, 12], Operations: ['30-8=22', '1*12=12']\nExploring Operation: 22+12=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 66:[22, 12], Operations: ['30-8=22', '1*12=12']\nExploring Operation: 22-12=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 12/1=12, Resulting Numbers: [22, 12]\nGenerated Node #0,0,2: 66:[22, 12] Operation: 12/1=12\nMoving to Node #0,0,2\nCurrent State: 66:[22, 12], Operations: ['30-8=22', '12/1=12']\nExploring Operation: 22+12=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 66:[22, 12], Operations: ['30-8=22', '12/1=12']\nExploring Operation: 22-12=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 1*22=22, Resulting Numbers: [12, 22]\nGenerated Node #0,0,3: 66:[12, 22] Operation: 1*22=22\nMoving to Node #0,0,3\nCurrent State: 66:[12, 22], Operations: ['30-8=22', '1*22=22']\nExploring Operation: 12+22=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 66:[12, 22], Operations: ['30-8=22', '1*22=22']\nExploring Operation: 22-12=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 22/1=22, Resulting Numbers: [12, 22]\nGenerated Node #0,0,4: 66:[12, 22] Operation: 22/1=22\nMoving to Node #0,0,4\nCurrent State: 66:[12, 22], Operations: ['30-8=22', '22/1=22']\nExploring Operation: 12+22=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 66:[12, 22], Operations: ['30-8=22', '22/1=22']\nExploring Operation: 22-12=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 1+12=13, Resulting Numbers: [22, 13]\nGenerated Node #0,0,5: 66:[22, 13] Operation: 1+12=13\nMoving to Node #0,0,5\nCurrent State: 66:[22, 13], Operations: ['30-8=22', '1+12=13']\nExploring Operation: 22+13=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 66:[22, 13], Operations: ['30-8=22', '1+12=13']\nExploring Operation: 22-13=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 1+22=23, Resulting Numbers: [12, 23]\nGenerated Node #0,0,6: 66:[12, 23] Operation: 1+22=23\nMoving to Node #0,0,6\nCurrent State: 66:[12, 23], Operations: ['30-8=22', '1+22=23']\nExploring Operation: 23-12=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 66:[12, 23], Operations: ['30-8=22', '1+22=23']\nExploring Operation: 12+23=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 22-1=21, Resulting Numbers: [12, 21]\nGenerated Node #0,0,7: 66:[12, 21] Operation: 22-1=21\nMoving to Node #0,0,7\nCurrent State: 66:[12, 21], Operations: ['30-8=22', '22-1=21']\nExploring Operation: 12+21=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,0,7\nCurrent State: 66:[12, 21], Operations: ['30-8=22', '22-1=21']\nExploring Operation: 21-12=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 12+22=34, Resulting Numbers: [1, 34]\nGenerated Node #0,0,8: 66:[1, 34] Operation: 12+22=34\nMoving to Node #0,0,8\nCurrent State: 66:[1, 34], Operations: ['30-8=22', '12+22=34']\nExploring Operation: 34-1=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 66:[1, 34], Operations: ['30-8=22', '12+22=34']\nExploring Operation: 1*34=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 66:[1, 34], Operations: ['30-8=22', '12+22=34']\nExploring Operation: 34/1=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 66:[1, 34], Operations: ['30-8=22', '12+22=34']\nExploring Operation: 1+34=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[1, 12, 22], Operations: ['30-8=22']\nExploring Operation: 22-12=10, Resulting Numbers: [1, 10]\nGenerated Node #0,0,9: 66:[1, 10] Operation: 22-12=10\nMoving to Node #0,0,9\nCurrent State: 66:[1, 10], Operations: ['30-8=22', '22-12=10']\nExploring Operation: 1+10=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,0,9\nCurrent State: 66:[1, 10], Operations: ['30-8=22', '22-12=10']\nExploring Operation: 1*10=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,0,9\nCurrent State: 66:[1, 10], Operations: ['30-8=22', '22-12=10']\nExploring Operation: 10/1=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,0,9\nCurrent State: 66:[1, 10], Operations: ['30-8=22', '22-12=10']\nExploring Operation: 10-1=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[8, 30, 1, 12], Operations: []\nExploring Operation: 8-1=7, Resulting Numbers: [30, 12, 7]\nGenerated Node #0,1: 66:[30, 12, 7] Operation: 8-1=7\nMoving to Node #0,1\nCurrent State: 66:[30, 12, 7], Operations: ['8-1=7']\nExploring Operation: 30-7=23, Resulting Numbers: [12, 23]\nGenerated Node #0,1,0: 66:[12, 23] Operation: 30-7=23\nMoving to Node #0,1,0\nCurrent State: 66:[12, 23], Operations: ['8-1=7', '30-7=23']\nExploring Operation: 23-12=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 66:[12, 23], Operations: ['8-1=7', '30-7=23']\nExploring Operation: 12+23=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[30, 12, 7], Operations: ['8-1=7']\nExploring Operation: 12-7=5, Resulting Numbers: [30, 5]\nGenerated Node #0,1,1: 66:[30, 5] Operation: 12-7=5\nMoving to Node #0,1,1\nCurrent State: 66:[30, 5], Operations: ['8-1=7', '12-7=5']\nExploring Operation: 30/5=6, Resulting Numbers: [6]\n6,66 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 66:[30, 5], Operations: ['8-1=7', '12-7=5']\nExploring Operation: 30+5=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 66:[30, 5], Operations: ['8-1=7', '12-7=5']\nExploring Operation: 30-5=25, Resulting Numbers: [25]\n25,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[30, 12, 7], Operations: ['8-1=7']\nExploring Operation: 30-12=18, Resulting Numbers: [7, 18]\nGenerated Node #0,1,2: 66:[7, 18] Operation: 30-12=18\nMoving to Node #0,1,2\nCurrent State: 66:[7, 18], Operations: ['8-1=7', '30-12=18']\nExploring Operation: 18-7=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 66:[7, 18], Operations: ['8-1=7', '30-12=18']\nExploring Operation: 7+18=25, Resulting Numbers: [25]\n25,66 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 66:[7, 18], Operations: ['8-1=7', '30-12=18']\nExploring Operation: 7*18=126, Resulting Numbers: [126]\n126,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[30, 12, 7], Operations: ['8-1=7']\nExploring Operation: 30+7=37, Resulting Numbers: [12, 37]\nGenerated Node #0,1,3: 66:[12, 37] Operation: 30+7=37\nMoving to Node #0,1,3\nCurrent State: 66:[12, 37], Operations: ['8-1=7', '30+7=37']\nExploring Operation: 37-12=25, Resulting Numbers: [25]\n25,66 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 66:[12, 37], Operations: ['8-1=7', '30+7=37']\nExploring Operation: 12+37=49, Resulting Numbers: [49]\n49,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[30, 12, 7], Operations: ['8-1=7']\nExploring Operation: 12+7=19, Resulting Numbers: [30, 19]\nGenerated Node #0,1,4: 66:[30, 19] Operation: 12+7=19\nMoving to Node #0,1,4\nCurrent State: 66:[30, 19], Operations: ['8-1=7', '12+7=19']\nExploring Operation: 30-19=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 66:[30, 19], Operations: ['8-1=7', '12+7=19']\nExploring Operation: 30+19=49, Resulting Numbers: [49]\n49,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[30, 12, 7], Operations: ['8-1=7']\nExploring Operation: 30+12=42, Resulting Numbers: [7, 42]\nGenerated Node #0,1,5: 66:[7, 42] Operation: 30+12=42\nMoving to Node #0,1,5\nCurrent State: 66:[7, 42], Operations: ['8-1=7', '30+12=42']\nExploring Operation: 42/7=6, Resulting Numbers: [6]\n6,66 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 66:[7, 42], Operations: ['8-1=7', '30+12=42']\nExploring Operation: 42-7=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 66:[7, 42], Operations: ['8-1=7', '30+12=42']\nExploring Operation: 7+42=49, Resulting Numbers: [49]\n49,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[30, 12, 7], Operations: ['8-1=7']\nExploring Operation: 12*7=84, Resulting Numbers: [30, 84]\nGenerated Node #0,1,6: 66:[30, 84] Operation: 12*7=84\nMoving to Node #0,1,6\nCurrent State: 66:[30, 84], Operations: ['8-1=7', '12*7=84']\nExploring Operation: 84-30=54, Resulting Numbers: [54]\n54,66 unequal: No Solution\nMoving to Node #0,1,6\nCurrent State: 66:[30, 84], Operations: ['8-1=7', '12*7=84']\nExploring Operation: 30+84=114, Resulting Numbers: [114]\n114,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[8, 30, 1, 12], Operations: []\nExploring Operation: 12-8=4, Resulting Numbers: [30, 1, 4]\nGenerated Node #0,2: 66:[30, 1, 4] Operation: 12-8=4\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 30+4=34, Resulting Numbers: [1, 34]\nGenerated Node #0,2,0: 66:[1, 34] Operation: 30+4=34\nMoving to Node #0,2,0\nCurrent State: 66:[1, 34], Operations: ['12-8=4', '30+4=34']\nExploring Operation: 34-1=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 66:[1, 34], Operations: ['12-8=4', '30+4=34']\nExploring Operation: 1*34=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 66:[1, 34], Operations: ['12-8=4', '30+4=34']\nExploring Operation: 34/1=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 66:[1, 34], Operations: ['12-8=4', '30+4=34']\nExploring Operation: 1+34=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 30+1=31, Resulting Numbers: [4, 31]\nGenerated Node #0,2,1: 66:[4, 31] Operation: 30+1=31\nMoving to Node #0,2,1\nCurrent State: 66:[4, 31], Operations: ['12-8=4', '30+1=31']\nExploring Operation: 4+31=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 66:[4, 31], Operations: ['12-8=4', '30+1=31']\nExploring Operation: 31-4=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 66:[4, 31], Operations: ['12-8=4', '30+1=31']\nExploring Operation: 4*31=124, Resulting Numbers: [124]\n124,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 4-1=3, Resulting Numbers: [30, 3]\nGenerated Node #0,2,2: 66:[30, 3] Operation: 4-1=3\nMoving to Node #0,2,2\nCurrent State: 66:[30, 3], Operations: ['12-8=4', '4-1=3']\nExploring Operation: 30+3=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 66:[30, 3], Operations: ['12-8=4', '4-1=3']\nExploring Operation: 30/3=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 66:[30, 3], Operations: ['12-8=4', '4-1=3']\nExploring Operation: 30-3=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 66:[30, 3], Operations: ['12-8=4', '4-1=3']\nExploring Operation: 30*3=90, Resulting Numbers: [90]\n90,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 30*1=30, Resulting Numbers: [4, 30]\nGenerated Node #0,2,3: 66:[4, 30] Operation: 30*1=30\nMoving to Node #0,2,3\nCurrent State: 66:[4, 30], Operations: ['12-8=4', '30*1=30']\nExploring Operation: 4+30=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 66:[4, 30], Operations: ['12-8=4', '30*1=30']\nExploring Operation: 30-4=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 66:[4, 30], Operations: ['12-8=4', '30*1=30']\nExploring Operation: 4*30=120, Resulting Numbers: [120]\n120,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 30/1=30, Resulting Numbers: [4, 30]\nGenerated Node #0,2,4: 66:[4, 30] Operation: 30/1=30\nMoving to Node #0,2,4\nCurrent State: 66:[4, 30], Operations: ['12-8=4', '30/1=30']\nExploring Operation: 4+30=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 66:[4, 30], Operations: ['12-8=4', '30/1=30']\nExploring Operation: 30-4=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 66:[4, 30], Operations: ['12-8=4', '30/1=30']\nExploring Operation: 4*30=120, Resulting Numbers: [120]\n120,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 1+4=5, Resulting Numbers: [30, 5]\nGenerated Node #0,2,5: 66:[30, 5] Operation: 1+4=5\nMoving to Node #0,2,5\nCurrent State: 66:[30, 5], Operations: ['12-8=4', '1+4=5']\nExploring Operation: 30/5=6, Resulting Numbers: [6]\n6,66 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 66:[30, 5], Operations: ['12-8=4', '1+4=5']\nExploring Operation: 30+5=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 66:[30, 5], Operations: ['12-8=4', '1+4=5']\nExploring Operation: 30-5=25, Resulting Numbers: [25]\n25,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 1*4=4, Resulting Numbers: [30, 4]\nGenerated Node #0,2,6: 66:[30, 4] Operation: 1*4=4\nMoving to Node #0,2,6\nCurrent State: 66:[30, 4], Operations: ['12-8=4', '1*4=4']\nExploring Operation: 30+4=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,2,6\nCurrent State: 66:[30, 4], Operations: ['12-8=4', '1*4=4']\nExploring Operation: 30-4=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,2,6\nCurrent State: 66:[30, 4], Operations: ['12-8=4', '1*4=4']\nExploring Operation: 30*4=120, Resulting Numbers: [120]\n120,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 4/1=4, Resulting Numbers: [30, 4]\nGenerated Node #0,2,7: 66:[30, 4] Operation: 4/1=4\nMoving to Node #0,2,7\nCurrent State: 66:[30, 4], Operations: ['12-8=4', '4/1=4']\nExploring Operation: 30+4=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,2,7\nCurrent State: 66:[30, 4], Operations: ['12-8=4', '4/1=4']\nExploring Operation: 30-4=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,2,7\nCurrent State: 66:[30, 4], Operations: ['12-8=4', '4/1=4']\nExploring Operation: 30*4=120, Resulting Numbers: [120]\n120,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 30-1=29, Resulting Numbers: [4, 29]\nGenerated Node #0,2,8: 66:[4, 29] Operation: 30-1=29\nMoving to Node #0,2,8\nCurrent State: 66:[4, 29], Operations: ['12-8=4', '30-1=29']\nExploring Operation: 4+29=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,2,8\nCurrent State: 66:[4, 29], Operations: ['12-8=4', '30-1=29']\nExploring Operation: 29-4=25, Resulting Numbers: [25]\n25,66 unequal: No Solution\nMoving to Node #0,2,8\nCurrent State: 66:[4, 29], Operations: ['12-8=4', '30-1=29']\nExploring Operation: 4*29=116, Resulting Numbers: [116]\n116,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 30-4=26, Resulting Numbers: [1, 26]\nGenerated Node #0,2,9: 66:[1, 26] Operation: 30-4=26\nMoving to Node #0,2,9\nCurrent State: 66:[1, 26], Operations: ['12-8=4', '30-4=26']\nExploring Operation: 26-1=25, Resulting Numbers: [25]\n25,66 unequal: No Solution\nMoving to Node #0,2,9\nCurrent State: 66:[1, 26], Operations: ['12-8=4', '30-4=26']\nExploring Operation: 1*26=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,2,9\nCurrent State: 66:[1, 26], Operations: ['12-8=4', '30-4=26']\nExploring Operation: 26/1=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,2,9\nCurrent State: 66:[1, 26], Operations: ['12-8=4', '30-4=26']\nExploring Operation: 1+26=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[30, 1, 4], Operations: ['12-8=4']\nExploring Operation: 30*4=120, Resulting Numbers: [1, 120]\nGenerated Node #0,2,10: 66:[1, 120] Operation: 30*4=120\nMoving to Node #0,2,10\nCurrent State: 66:[1, 120], Operations: ['12-8=4', '30*4=120']\nExploring Operation: 120-1=119, Resulting Numbers: [119]\n119,66 unequal: No Solution\nMoving to Node #0,2,10\nCurrent State: 66:[1, 120], Operations: ['12-8=4', '30*4=120']\nExploring Operation: 1*120=120, Resulting Numbers: [120]\n120,66 unequal: No Solution\nMoving to Node #0,2,10\nCurrent State: 66:[1, 120], Operations: ['12-8=4', '30*4=120']\nExploring Operation: 120/1=120, Resulting Numbers: [120]\n120,66 unequal: No Solution\nMoving to Node #0,2,10\nCurrent State: 66:[1, 120], Operations: ['12-8=4', '30*4=120']\nExploring Operation: 1+120=121, Resulting Numbers: [121]\n121,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[8, 30, 1, 12], Operations: []\nExploring Operation: 30+1=31, Resulting Numbers: [8, 12, 31]\nGenerated Node #0,3: 66:[8, 12, 31] Operation: 30+1=31\nMoving to Node #0,3\nCurrent State: 66:[8, 12, 31], Operations: ['30+1=31']\nExploring Operation: 31-8=23, Resulting Numbers: [12, 23]\nGenerated Node #0,3,0: 66:[12, 23] Operation: 31-8=23\nMoving to Node #0,3,0\nCurrent State: 66:[12, 23], Operations: ['30+1=31', '31-8=23']\nExploring Operation: 23-12=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 66:[12, 23], Operations: ['30+1=31', '31-8=23']\nExploring Operation: 12+23=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[8, 12, 31], Operations: ['30+1=31']\nExploring Operation: 12-8=4, Resulting Numbers: [31, 4]\nGenerated Node #0,3,1: 66:[31, 4] Operation: 12-8=4\nMoving to Node #0,3,1\nCurrent State: 66:[31, 4], Operations: ['30+1=31', '12-8=4']\nExploring Operation: 31+4=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 66:[31, 4], Operations: ['30+1=31', '12-8=4']\nExploring Operation: 31-4=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 66:[31, 4], Operations: ['30+1=31', '12-8=4']\nExploring Operation: 31*4=124, Resulting Numbers: [124]\n124,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[8, 12, 31], Operations: ['30+1=31']\nExploring Operation: 8+12=20, Resulting Numbers: [31, 20]\nGenerated Node #0,3,2: 66:[31, 20] Operation: 8+12=20\nMoving to Node #0,3,2\nCurrent State: 66:[31, 20], Operations: ['30+1=31', '8+12=20']\nExploring Operation: 31-20=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 66:[31, 20], Operations: ['30+1=31', '8+12=20']\nExploring Operation: 31+20=51, Resulting Numbers: [51]\n51,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[8, 12, 31], Operations: ['30+1=31']\nExploring Operation: 31-12=19, Resulting Numbers: [8, 19]\nGenerated Node #0,3,3: 66:[8, 19] Operation: 31-12=19\nMoving to Node #0,3,3\nCurrent State: 66:[8, 19], Operations: ['30+1=31', '31-12=19']\nExploring Operation: 19-8=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 66:[8, 19], Operations: ['30+1=31', '31-12=19']\nExploring Operation: 8+19=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[8, 12, 31], Operations: ['30+1=31']\nExploring Operation: 8+31=39, Resulting Numbers: [12, 39]\nGenerated Node #0,3,4: 66:[12, 39] Operation: 8+31=39\nMoving to Node #0,3,4\nCurrent State: 66:[12, 39], Operations: ['30+1=31', '8+31=39']\nExploring Operation: 39-12=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 66:[12, 39], Operations: ['30+1=31', '8+31=39']\nExploring Operation: 12+39=51, Resulting Numbers: [51]\n51,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[8, 12, 31], Operations: ['30+1=31']\nExploring Operation: 12+31=43, Resulting Numbers: [8, 43]\nGenerated Node #0,3,5: 66:[8, 43] Operation: 12+31=43\nMoving to Node #0,3,5\nCurrent State: 66:[8, 43], Operations: ['30+1=31', '12+31=43']\nExploring Operation: 43-8=35, Resulting Numbers: [35]\n35,66 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 66:[8, 43], Operations: ['30+1=31', '12+31=43']\nExploring Operation: 8+43=51, Resulting Numbers: [51]\n51,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[8, 12, 31], Operations: ['30+1=31']\nExploring Operation: 8*12=96, Resulting Numbers: [31, 96]\nGenerated Node #0,3,6: 66:[31, 96] Operation: 8*12=96\nMoving to Node #0,3,6\nCurrent State: 66:[31, 96], Operations: ['30+1=31', '8*12=96']\nExploring Operation: 96-31=65, Resulting Numbers: [65]\n65,66 unequal: No Solution\nMoving to Node #0,3,6\nCurrent State: 66:[31, 96], Operations: ['30+1=31', '8*12=96']\nExploring Operation: 31+96=127, Resulting Numbers: [127]\n127,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[8, 30, 1, 12], Operations: []\nExploring Operation: 12-1=11, Resulting Numbers: [8, 30, 11]\nGenerated Node #0,4: 66:[8, 30, 11] Operation: 12-1=11\nMoving to Node #0,4\nCurrent State: 66:[8, 30, 11], Operations: ['12-1=11']\nExploring Operation: 30-8=22, Resulting Numbers: [11, 22]\nGenerated Node #0,4,0: 66:[11, 22] Operation: 30-8=22\nMoving to Node #0,4,0\nCurrent State: 66:[11, 22], Operations: ['12-1=11', '30-8=22']\nExploring Operation: 11+22=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 66:[11, 22], Operations: ['12-1=11', '30-8=22']\nExploring Operation: 22-11=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 66:[11, 22], Operations: ['12-1=11', '30-8=22']\nExploring Operation: 22/11=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[8, 30, 11], Operations: ['12-1=11']\nExploring Operation: 11-8=3, Resulting Numbers: [30, 3]\nGenerated Node #0,4,1: 66:[30, 3] Operation: 11-8=3\nMoving to Node #0,4,1\nCurrent State: 66:[30, 3], Operations: ['12-1=11', '11-8=3']\nExploring Operation: 30+3=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 66:[30, 3], Operations: ['12-1=11', '11-8=3']\nExploring Operation: 30/3=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 66:[30, 3], Operations: ['12-1=11', '11-8=3']\nExploring Operation: 30-3=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 66:[30, 3], Operations: ['12-1=11', '11-8=3']\nExploring Operation: 30*3=90, Resulting Numbers: [90]\n90,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[8, 30, 11], Operations: ['12-1=11']\nExploring Operation: 8+30=38, Resulting Numbers: [11, 38]\nGenerated Node #0,4,2: 66:[11, 38] Operation: 8+30=38\nMoving to Node #0,4,2\nCurrent State: 66:[11, 38], Operations: ['12-1=11', '8+30=38']\nExploring Operation: 38-11=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 66:[11, 38], Operations: ['12-1=11', '8+30=38']\nExploring Operation: 11+38=49, Resulting Numbers: [49]\n49,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[8, 30, 11], Operations: ['12-1=11']\nExploring Operation: 30-11=19, Resulting Numbers: [8, 19]\nGenerated Node #0,4,3: 66:[8, 19] Operation: 30-11=19\nMoving to Node #0,4,3\nCurrent State: 66:[8, 19], Operations: ['12-1=11', '30-11=19']\nExploring Operation: 19-8=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 66:[8, 19], Operations: ['12-1=11', '30-11=19']\nExploring Operation: 8+19=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[8, 30, 11], Operations: ['12-1=11']\nExploring Operation: 8+11=19, Resulting Numbers: [30, 19]\nGenerated Node #0,4,4: 66:[30, 19] Operation: 8+11=19\nMoving to Node #0,4,4\nCurrent State: 66:[30, 19], Operations: ['12-1=11', '8+11=19']\nExploring Operation: 30-19=11, Resulting Numbers: [11]\n11,66 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 66:[30, 19], Operations: ['12-1=11', '8+11=19']\nExploring Operation: 30+19=49, Resulting Numbers: [49]\n49,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[8, 30, 11], Operations: ['12-1=11']\nExploring Operation: 30+11=41, Resulting Numbers: [8, 41]\nGenerated Node #0,4,5: 66:[8, 41] Operation: 30+11=41\nMoving to Node #0,4,5\nCurrent State: 66:[8, 41], Operations: ['12-1=11', '30+11=41']\nExploring Operation: 41-8=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 66:[8, 41], Operations: ['12-1=11', '30+11=41']\nExploring Operation: 8+41=49, Resulting Numbers: [49]\n49,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[8, 30, 11], Operations: ['12-1=11']\nExploring Operation: 8*11=88, Resulting Numbers: [30, 88]\nGenerated Node #0,4,6: 66:[30, 88] Operation: 8*11=88\nMoving to Node #0,4,6\nCurrent State: 66:[30, 88], Operations: ['12-1=11', '8*11=88']\nExploring Operation: 88-30=58, Resulting Numbers: [58]\n58,66 unequal: No Solution\nMoving to Node #0,4,6\nCurrent State: 66:[30, 88], Operations: ['12-1=11', '8*11=88']\nExploring Operation: 30+88=118, Resulting Numbers: [118]\n118,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[8, 30, 1, 12], Operations: []\nExploring Operation: 8+1=9, Resulting Numbers: [30, 12, 9]\nGenerated Node #0,5: 66:[30, 12, 9] Operation: 8+1=9\nMoving to Node #0,5\nCurrent State: 66:[30, 12, 9], Operations: ['8+1=9']\nExploring Operation: 30-9=21, Resulting Numbers: [12, 21]\nGenerated Node #0,5,0: 66:[12, 21] Operation: 30-9=21\nMoving to Node #0,5,0\nCurrent State: 66:[12, 21], Operations: ['8+1=9', '30-9=21']\nExploring Operation: 12+21=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 66:[12, 21], Operations: ['8+1=9', '30-9=21']\nExploring Operation: 21-12=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[30, 12, 9], Operations: ['8+1=9']\nExploring Operation: 12-9=3, Resulting Numbers: [30, 3]\nGenerated Node #0,5,1: 66:[30, 3] Operation: 12-9=3\nMoving to Node #0,5,1\nCurrent State: 66:[30, 3], Operations: ['8+1=9', '12-9=3']\nExploring Operation: 30+3=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 66:[30, 3], Operations: ['8+1=9', '12-9=3']\nExploring Operation: 30/3=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 66:[30, 3], Operations: ['8+1=9', '12-9=3']\nExploring Operation: 30-3=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 66:[30, 3], Operations: ['8+1=9', '12-9=3']\nExploring Operation: 30*3=90, Resulting Numbers: [90]\n90,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[30, 12, 9], Operations: ['8+1=9']\nExploring Operation: 12+9=21, Resulting Numbers: [30, 21]\nGenerated Node #0,5,2: 66:[30, 21] Operation: 12+9=21\nMoving to Node #0,5,2\nCurrent State: 66:[30, 21], Operations: ['8+1=9', '12+9=21']\nExploring Operation: 30-21=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 66:[30, 21], Operations: ['8+1=9', '12+9=21']\nExploring Operation: 30+21=51, Resulting Numbers: [51]\n51,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[30, 12, 9], Operations: ['8+1=9']\nExploring Operation: 30-12=18, Resulting Numbers: [9, 18]\nGenerated Node #0,5,3: 66:[9, 18] Operation: 30-12=18\nMoving to Node #0,5,3\nCurrent State: 66:[9, 18], Operations: ['8+1=9', '30-12=18']\nExploring Operation: 18/9=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 66:[9, 18], Operations: ['8+1=9', '30-12=18']\nExploring Operation: 18-9=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 66:[9, 18], Operations: ['8+1=9', '30-12=18']\nExploring Operation: 9+18=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[30, 12, 9], Operations: ['8+1=9']\nExploring Operation: 30+9=39, Resulting Numbers: [12, 39]\nGenerated Node #0,5,4: 66:[12, 39] Operation: 30+9=39\nMoving to Node #0,5,4\nCurrent State: 66:[12, 39], Operations: ['8+1=9', '30+9=39']\nExploring Operation: 39-12=27, Resulting Numbers: [27]\n27,66 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 66:[12, 39], Operations: ['8+1=9', '30+9=39']\nExploring Operation: 12+39=51, Resulting Numbers: [51]\n51,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[30, 12, 9], Operations: ['8+1=9']\nExploring Operation: 30+12=42, Resulting Numbers: [9, 42]\nGenerated Node #0,5,5: 66:[9, 42] Operation: 30+12=42\nMoving to Node #0,5,5\nCurrent State: 66:[9, 42], Operations: ['8+1=9', '30+12=42']\nExploring Operation: 42-9=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,5,5\nCurrent State: 66:[9, 42], Operations: ['8+1=9', '30+12=42']\nExploring Operation: 9+42=51, Resulting Numbers: [51]\n51,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[30, 12, 9], Operations: ['8+1=9']\nExploring Operation: 12*9=108, Resulting Numbers: [30, 108]\nGenerated Node #0,5,6: 66:[30, 108] Operation: 12*9=108\nMoving to Node #0,5,6\nCurrent State: 66:[30, 108], Operations: ['8+1=9', '12*9=108']\nExploring Operation: 108-30=78, Resulting Numbers: [78]\n78,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[8, 30, 1, 12], Operations: []\nExploring Operation: 8*1=8, Resulting Numbers: [30, 12, 8]\nGenerated Node #0,6: 66:[30, 12, 8] Operation: 8*1=8\nMoving to Node #0,6\nCurrent State: 66:[30, 12, 8], Operations: ['8*1=8']\nExploring Operation: 30-8=22, Resulting Numbers: [12, 22]\nGenerated Node #0,6,0: 66:[12, 22] Operation: 30-8=22\nMoving to Node #0,6,0\nCurrent State: 66:[12, 22], Operations: ['8*1=8', '30-8=22']\nExploring Operation: 12+22=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 66:[12, 22], Operations: ['8*1=8', '30-8=22']\nExploring Operation: 22-12=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[30, 12, 8], Operations: ['8*1=8']\nExploring Operation: 12-8=4, Resulting Numbers: [30, 4]\nGenerated Node #0,6,1: 66:[30, 4] Operation: 12-8=4\nMoving to Node #0,6,1\nCurrent State: 66:[30, 4], Operations: ['8*1=8', '12-8=4']\nExploring Operation: 30+4=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 66:[30, 4], Operations: ['8*1=8', '12-8=4']\nExploring Operation: 30-4=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 66:[30, 4], Operations: ['8*1=8', '12-8=4']\nExploring Operation: 30*4=120, Resulting Numbers: [120]\n120,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[30, 12, 8], Operations: ['8*1=8']\nExploring Operation: 12+8=20, Resulting Numbers: [30, 20]\nGenerated Node #0,6,2: 66:[30, 20] Operation: 12+8=20\nMoving to Node #0,6,2\nCurrent State: 66:[30, 20], Operations: ['8*1=8', '12+8=20']\nExploring Operation: 30-20=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 66:[30, 20], Operations: ['8*1=8', '12+8=20']\nExploring Operation: 30+20=50, Resulting Numbers: [50]\n50,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[30, 12, 8], Operations: ['8*1=8']\nExploring Operation: 30-12=18, Resulting Numbers: [8, 18]\nGenerated Node #0,6,3: 66:[8, 18] Operation: 30-12=18\nMoving to Node #0,6,3\nCurrent State: 66:[8, 18], Operations: ['8*1=8', '30-12=18']\nExploring Operation: 18-8=10, Resulting Numbers: [10]\n10,66 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 66:[8, 18], Operations: ['8*1=8', '30-12=18']\nExploring Operation: 8+18=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[30, 12, 8], Operations: ['8*1=8']\nExploring Operation: 30+8=38, Resulting Numbers: [12, 38]\nGenerated Node #0,6,4: 66:[12, 38] Operation: 30+8=38\nMoving to Node #0,6,4\nCurrent State: 66:[12, 38], Operations: ['8*1=8', '30+8=38']\nExploring Operation: 38-12=26, Resulting Numbers: [26]\n26,66 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 66:[12, 38], Operations: ['8*1=8', '30+8=38']\nExploring Operation: 12+38=50, Resulting Numbers: [50]\n50,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[30, 12, 8], Operations: ['8*1=8']\nExploring Operation: 30+12=42, Resulting Numbers: [8, 42]\nGenerated Node #0,6,5: 66:[8, 42] Operation: 30+12=42\nMoving to Node #0,6,5\nCurrent State: 66:[8, 42], Operations: ['8*1=8', '30+12=42']\nExploring Operation: 42-8=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 66:[8, 42], Operations: ['8*1=8', '30+12=42']\nExploring Operation: 8+42=50, Resulting Numbers: [50]\n50,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[30, 12, 8], Operations: ['8*1=8']\nExploring Operation: 12*8=96, Resulting Numbers: [30, 96]\nGenerated Node #0,6,6: 66:[30, 96] Operation: 12*8=96\nMoving to Node #0,6,6\nCurrent State: 66:[30, 96], Operations: ['8*1=8', '12*8=96']\nExploring Operation: 96-30=66, Resulting Numbers: [66]\n66,66 equal: Goal Reached\n", "role": "assistant" } ]
[ 18, 39, 14, 20 ]
76
[ "18-14=4", "39-20=19", "4*19=76" ]
Current State: 76:[18, 39, 14, 20], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [39, 20, 4] Generated Node #0,0: 76:[39, 20, 4] Operation: 18-14=4 Moving to Node #0,0 Current State: 76:[39, 20, 4], Operations: ['18-14=4'] Exploring Operation: 39-20=19, Resulting Numbers: [4, 19] Generated Node #0,0,0: 76:[4, 19] Operation: 39-20=19 Moving to Node #0,0,0 Current State: 76:[4, 19], Operations: ['18-14=4', '39-20=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
0.996528
bfs_1
Current State: 76:[18, 39, 14, 20], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [39, 20, 4] Generated Node #2: [39, 20, 4] from Operation: 18-14=4 Current State: 76:[39, 20, 4], Operations: ['18-14=4'] Exploring Operation: 39-20=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 39-20=19 Current State: 76:[4, 19], Operations: ['18-14=4', '39-20=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
mult_heuristic
[ { "content": "Make 76 with the numbers [18, 39, 14, 20] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 76:[18, 39, 14, 20], Operations: []\nExploring Operation: 18-14=4, Resulting Numbers: [39, 20, 4]\nGenerated Node #0,0: 76:[39, 20, 4] Operation: 18-14=4\nMoving to Node #0,0\nCurrent State: 76:[39, 20, 4], Operations: ['18-14=4']\nExploring Operation: 39-20=19, Resulting Numbers: [4, 19]\nGenerated Node #0,0,0: 76:[4, 19] Operation: 39-20=19\nMoving to Node #0,0,0\nCurrent State: 76:[4, 19], Operations: ['18-14=4', '39-20=19']\nExploring Operation: 4*19=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached\n", "role": "assistant" } ]
[ 21, 35, 63, 94 ]
43
[ "63/21=3", "35+94=129", "129/3=43" ]
Current State: 43:[21, 35, 63, 94], Operations: [] Exploring Operation: 94-35=59, Resulting Numbers: [21, 63, 59] Generated Node #0,0: 43:[21, 63, 59] Operation: 94-35=59 Exploring Operation: 94-63=31, Resulting Numbers: [21, 35, 31] Generated Node #0,1: 43:[21, 35, 31] Operation: 94-63=31 Exploring Operation: 94-21=73, Resulting Numbers: [35, 63, 73] Generated Node #0,2: 43:[35, 63, 73] Operation: 94-21=73 Moving to Node #0,1 Current State: 43:[21, 35, 31], Operations: ['94-63=31'] Exploring Operation: 35-21=14, Resulting Numbers: [31, 14] Generated Node #0,1,0: 43:[31, 14] Operation: 35-21=14 Exploring Operation: 21+35=56, Resulting Numbers: [31, 56] Generated Node #0,1,1: 43:[31, 56] Operation: 21+35=56 Exploring Operation: 21+31=52, Resulting Numbers: [35, 52] Generated Node #0,1,2: 43:[35, 52] Operation: 21+31=52 Moving to Node #0,0 Current State: 43:[21, 63, 59], Operations: ['94-35=59'] Exploring Operation: 63/21=3, Resulting Numbers: [59, 3] Generated Node #0,0,0: 43:[59, 3] Operation: 63/21=3 Exploring Operation: 63-21=42, Resulting Numbers: [59, 42] Generated Node #0,0,1: 43:[59, 42] Operation: 63-21=42 Exploring Operation: 59-21=38, Resulting Numbers: [63, 38] Generated Node #0,0,2: 43:[63, 38] Operation: 59-21=38 Moving to Node #0,2 Current State: 43:[35, 63, 73], Operations: ['94-21=73'] Exploring Operation: 63-35=28, Resulting Numbers: [73, 28] Generated Node #0,2,0: 43:[73, 28] Operation: 63-35=28 Exploring Operation: 73-35=38, Resulting Numbers: [63, 38] Generated Node #0,2,1: 43:[63, 38] Operation: 73-35=38 Exploring Operation: 73-63=10, Resulting Numbers: [35, 10] Generated Node #0,2,2: 43:[35, 10] Operation: 73-63=10 Moving to Node #0,1,2 Current State: 43:[35, 52], Operations: ['94-63=31', '21+31=52'] Exploring Operation: 52-35=17, Resulting Numbers: [17] 17,43 unequal: No Solution Exploring Operation: 35+52=87, Resulting Numbers: [87] 87,43 unequal: No Solution Exploring Operation: 35*52=1820, Resulting Numbers: [1820] 1820,43 unequal: No Solution Moving to Node #0,0,1 Current State: 43:[59, 42], Operations: ['94-35=59', '63-21=42'] Exploring Operation: 59-42=17, Resulting Numbers: [17] 17,43 unequal: No Solution Exploring Operation: 59+42=101, Resulting Numbers: [101] 101,43 unequal: No Solution Exploring Operation: 59*42=2478, Resulting Numbers: [2478] 2478,43 unequal: No Solution Moving to Node #0,2,1 Current State: 43:[63, 38], Operations: ['94-21=73', '73-35=38'] Exploring Operation: 63+38=101, Resulting Numbers: [101] 101,43 unequal: No Solution Exploring Operation: 63*38=2394, Resulting Numbers: [2394] 2394,43 unequal: No Solution Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,43 unequal: No Solution Moving to Node #0,0,2 Current State: 43:[63, 38], Operations: ['94-35=59', '59-21=38'] Exploring Operation: 63*38=2394, Resulting Numbers: [2394] 2394,43 unequal: No Solution Exploring Operation: 63+38=101, Resulting Numbers: [101] 101,43 unequal: No Solution Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,43 unequal: No Solution Moving to Node #0,1,1 Current State: 43:[31, 56], Operations: ['94-63=31', '21+35=56'] Exploring Operation: 31*56=1736, Resulting Numbers: [1736] 1736,43 unequal: No Solution Exploring Operation: 56-31=25, Resulting Numbers: [25] 25,43 unequal: No Solution Exploring Operation: 31+56=87, Resulting Numbers: [87] 87,43 unequal: No Solution Moving to Node #0,2,1,0 Current State: 43:[25], Operations: ['94-21=73', '73-35=38', '63-38=25'] Moving to Node #0,0,2,0 Current State: 43:[25], Operations: ['94-35=59', '59-21=38', '63-38=25'] Moving to Node #0,1,1,0 Current State: 43:[25], Operations: ['94-63=31', '21+35=56', '56-31=25'] Moving to Node #0,1,0 Current State: 43:[31, 14], Operations: ['94-63=31', '35-21=14'] Exploring Operation: 31*14=434, Resulting Numbers: [434] 434,43 unequal: No Solution Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,43 unequal: No Solution Exploring Operation: 31+14=45, Resulting Numbers: [45] 45,43 unequal: No Solution Moving to Node #0,1,0,0 Current State: 43:[45], Operations: ['94-63=31', '35-21=14', '31+14=45'] Moving to Node #0,2,2 Current State: 43:[35, 10], Operations: ['94-21=73', '73-63=10'] Exploring Operation: 35*10=350, Resulting Numbers: [350] 350,43 unequal: No Solution Exploring Operation: 35+10=45, Resulting Numbers: [45] 45,43 unequal: No Solution Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,43 unequal: No Solution Moving to Node #0,2,0 Current State: 43:[73, 28], Operations: ['94-21=73', '63-35=28'] Exploring Operation: 73-28=45, Resulting Numbers: [45] 45,43 unequal: No Solution Exploring Operation: 73+28=101, Resulting Numbers: [101] 101,43 unequal: No Solution Exploring Operation: 73*28=2044, Resulting Numbers: [2044] 2044,43 unequal: No Solution Moving to Node #0,2,2,0 Current State: 43:[45], Operations: ['94-21=73', '73-63=10', '35+10=45'] Moving to Node #0,2,0,0 Current State: 43:[45], Operations: ['94-21=73', '63-35=28', '73-28=45'] Moving to Node #0,2,2,0 Current State: 43:[25], Operations: ['94-21=73', '73-63=10', '35-10=25'] Moving to Node #0,1,2,0 Current State: 43:[17], Operations: ['94-63=31', '21+31=52', '52-35=17'] Moving to Node #0,0,1,0 Current State: 43:[17], Operations: ['94-35=59', '63-21=42', '59-42=17'] Moving to Node #0,1,0,0 Current State: 43:[17], Operations: ['94-63=31', '35-21=14', '31-14=17'] Moving to Node #0,0,0 Current State: 43:[59, 3], Operations: ['94-35=59', '63/21=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,43 unequal: No Solution Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,43 unequal: No Solution Exploring Operation: 59*3=177, Resulting Numbers: [177] 177,43 unequal: No Solution Moving to Node #0,1,1,0 Current State: 43:[87], Operations: ['94-63=31', '21+35=56', '31+56=87'] Moving to Node #0,1,2,0 Current State: 43:[87], Operations: ['94-63=31', '21+31=52', '35+52=87'] Moving to Node #0,0,0,0 Current State: 43:[56], Operations: ['94-35=59', '63/21=3', '59-3=56'] Moving to Node #0,0,0,0 Current State: 43:[62], Operations: ['94-35=59', '63/21=3', '59+3=62'] Moving to Node #0,2,1,0 Current State: 43:[101], Operations: ['94-21=73', '73-35=38', '63+38=101'] Moving to Node #0,0,2,0 Current State: 43:[101], Operations: ['94-35=59', '59-21=38', '63+38=101'] Moving to Node #0,0,1,0 Current State: 43:[101], Operations: ['94-35=59', '63-21=42', '59+42=101'] Moving to Node #0,2,0,0 Current State: 43:[101], Operations: ['94-21=73', '63-35=28', '73+28=101'] Moving to Node #0,0,0,0 Current State: 43:[177], Operations: ['94-35=59', '63/21=3', '59*3=177'] Moving to Node #0,2,2,0 Current State: 43:[350], Operations: ['94-21=73', '73-63=10', '35*10=350'] Moving to Node #0,1,0,0 Current State: 43:[434], Operations: ['94-63=31', '35-21=14', '31*14=434'] Moving to Node #0,1,1,0 Current State: 43:[1736], Operations: ['94-63=31', '21+35=56', '31*56=1736'] Moving to Node #0,1,2,0 Current State: 43:[1820], Operations: ['94-63=31', '21+31=52', '35*52=1820'] Moving to Node #0,2,0,0 Current State: 43:[2044], Operations: ['94-21=73', '63-35=28', '73*28=2044'] Moving to Node #0,0,2,0 Current State: 43:[2394], Operations: ['94-35=59', '59-21=38', '63*38=2394'] Moving to Node #0,2,1,0 Current State: 43:[2394], Operations: ['94-21=73', '73-35=38', '63*38=2394'] Moving to Node #0,0,1,0 Current State: 43:[2478], Operations: ['94-35=59', '63-21=42', '59*42=2478'] No solution found.
0
bfs_3
Current State: 43:[21, 35, 63, 94], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [35, 94, 3] Generated Node #2: [35, 94, 3] from Operation: 63/21=3 Current State: 43:[35, 94, 3], Operations: ['63/21=3'] Exploring Operation: 35+94=129, Resulting Numbers: [3, 129] Generated Node #3: [3, 129] from Operation: 35+94=129 Current State: 43:[3, 129], Operations: ['63/21=3', '35+94=129'] Exploring Operation: 129/3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
sum_heuristic
[ { "content": "Make 43 with the numbers [21, 35, 63, 94] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 43:[21, 35, 63, 94], Operations: []\nExploring Operation: 94-35=59, Resulting Numbers: [21, 63, 59]\nGenerated Node #0,0: 43:[21, 63, 59] Operation: 94-35=59\nExploring Operation: 94-63=31, Resulting Numbers: [21, 35, 31]\nGenerated Node #0,1: 43:[21, 35, 31] Operation: 94-63=31\nExploring Operation: 94-21=73, Resulting Numbers: [35, 63, 73]\nGenerated Node #0,2: 43:[35, 63, 73] Operation: 94-21=73\nMoving to Node #0,1\nCurrent State: 43:[21, 35, 31], Operations: ['94-63=31']\nExploring Operation: 35-21=14, Resulting Numbers: [31, 14]\nGenerated Node #0,1,0: 43:[31, 14] Operation: 35-21=14\nExploring Operation: 21+35=56, Resulting Numbers: [31, 56]\nGenerated Node #0,1,1: 43:[31, 56] Operation: 21+35=56\nExploring Operation: 21+31=52, Resulting Numbers: [35, 52]\nGenerated Node #0,1,2: 43:[35, 52] Operation: 21+31=52\nMoving to Node #0,0\nCurrent State: 43:[21, 63, 59], Operations: ['94-35=59']\nExploring Operation: 63/21=3, Resulting Numbers: [59, 3]\nGenerated Node #0,0,0: 43:[59, 3] Operation: 63/21=3\nExploring Operation: 63-21=42, Resulting Numbers: [59, 42]\nGenerated Node #0,0,1: 43:[59, 42] Operation: 63-21=42\nExploring Operation: 59-21=38, Resulting Numbers: [63, 38]\nGenerated Node #0,0,2: 43:[63, 38] Operation: 59-21=38\nMoving to Node #0,2\nCurrent State: 43:[35, 63, 73], Operations: ['94-21=73']\nExploring Operation: 63-35=28, Resulting Numbers: [73, 28]\nGenerated Node #0,2,0: 43:[73, 28] Operation: 63-35=28\nExploring Operation: 73-35=38, Resulting Numbers: [63, 38]\nGenerated Node #0,2,1: 43:[63, 38] Operation: 73-35=38\nExploring Operation: 73-63=10, Resulting Numbers: [35, 10]\nGenerated Node #0,2,2: 43:[35, 10] Operation: 73-63=10\nMoving to Node #0,1,2\nCurrent State: 43:[35, 52], Operations: ['94-63=31', '21+31=52']\nExploring Operation: 52-35=17, Resulting Numbers: [17]\n17,43 unequal: No Solution\nExploring Operation: 35+52=87, Resulting Numbers: [87]\n87,43 unequal: No Solution\nExploring Operation: 35*52=1820, Resulting Numbers: [1820]\n1820,43 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 43:[59, 42], Operations: ['94-35=59', '63-21=42']\nExploring Operation: 59-42=17, Resulting Numbers: [17]\n17,43 unequal: No Solution\nExploring Operation: 59+42=101, Resulting Numbers: [101]\n101,43 unequal: No Solution\nExploring Operation: 59*42=2478, Resulting Numbers: [2478]\n2478,43 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 43:[63, 38], Operations: ['94-21=73', '73-35=38']\nExploring Operation: 63+38=101, Resulting Numbers: [101]\n101,43 unequal: No Solution\nExploring Operation: 63*38=2394, Resulting Numbers: [2394]\n2394,43 unequal: No Solution\nExploring Operation: 63-38=25, Resulting Numbers: [25]\n25,43 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 43:[63, 38], Operations: ['94-35=59', '59-21=38']\nExploring Operation: 63*38=2394, Resulting Numbers: [2394]\n2394,43 unequal: No Solution\nExploring Operation: 63+38=101, Resulting Numbers: [101]\n101,43 unequal: No Solution\nExploring Operation: 63-38=25, Resulting Numbers: [25]\n25,43 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 43:[31, 56], Operations: ['94-63=31', '21+35=56']\nExploring Operation: 31*56=1736, Resulting Numbers: [1736]\n1736,43 unequal: No Solution\nExploring Operation: 56-31=25, Resulting Numbers: [25]\n25,43 unequal: No Solution\nExploring Operation: 31+56=87, Resulting Numbers: [87]\n87,43 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 43:[25], Operations: ['94-21=73', '73-35=38', '63-38=25']\nMoving to Node #0,0,2,0\nCurrent State: 43:[25], Operations: ['94-35=59', '59-21=38', '63-38=25']\nMoving to Node #0,1,1,0\nCurrent State: 43:[25], Operations: ['94-63=31', '21+35=56', '56-31=25']\nMoving to Node #0,1,0\nCurrent State: 43:[31, 14], Operations: ['94-63=31', '35-21=14']\nExploring Operation: 31*14=434, Resulting Numbers: [434]\n434,43 unequal: No Solution\nExploring Operation: 31-14=17, Resulting Numbers: [17]\n17,43 unequal: No Solution\nExploring Operation: 31+14=45, Resulting Numbers: [45]\n45,43 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 43:[45], Operations: ['94-63=31', '35-21=14', '31+14=45']\nMoving to Node #0,2,2\nCurrent State: 43:[35, 10], Operations: ['94-21=73', '73-63=10']\nExploring Operation: 35*10=350, Resulting Numbers: [350]\n350,43 unequal: No Solution\nExploring Operation: 35+10=45, Resulting Numbers: [45]\n45,43 unequal: No Solution\nExploring Operation: 35-10=25, Resulting Numbers: [25]\n25,43 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 43:[73, 28], Operations: ['94-21=73', '63-35=28']\nExploring Operation: 73-28=45, Resulting Numbers: [45]\n45,43 unequal: No Solution\nExploring Operation: 73+28=101, Resulting Numbers: [101]\n101,43 unequal: No Solution\nExploring Operation: 73*28=2044, Resulting Numbers: [2044]\n2044,43 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 43:[45], Operations: ['94-21=73', '73-63=10', '35+10=45']\nMoving to Node #0,2,0,0\nCurrent State: 43:[45], Operations: ['94-21=73', '63-35=28', '73-28=45']\nMoving to Node #0,2,2,0\nCurrent State: 43:[25], Operations: ['94-21=73', '73-63=10', '35-10=25']\nMoving to Node #0,1,2,0\nCurrent State: 43:[17], Operations: ['94-63=31', '21+31=52', '52-35=17']\nMoving to Node #0,0,1,0\nCurrent State: 43:[17], Operations: ['94-35=59', '63-21=42', '59-42=17']\nMoving to Node #0,1,0,0\nCurrent State: 43:[17], Operations: ['94-63=31', '35-21=14', '31-14=17']\nMoving to Node #0,0,0\nCurrent State: 43:[59, 3], Operations: ['94-35=59', '63/21=3']\nExploring Operation: 59-3=56, Resulting Numbers: [56]\n56,43 unequal: No Solution\nExploring Operation: 59+3=62, Resulting Numbers: [62]\n62,43 unequal: No Solution\nExploring Operation: 59*3=177, Resulting Numbers: [177]\n177,43 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 43:[87], Operations: ['94-63=31', '21+35=56', '31+56=87']\nMoving to Node #0,1,2,0\nCurrent State: 43:[87], Operations: ['94-63=31', '21+31=52', '35+52=87']\nMoving to Node #0,0,0,0\nCurrent State: 43:[56], Operations: ['94-35=59', '63/21=3', '59-3=56']\nMoving to Node #0,0,0,0\nCurrent State: 43:[62], Operations: ['94-35=59', '63/21=3', '59+3=62']\nMoving to Node #0,2,1,0\nCurrent State: 43:[101], Operations: ['94-21=73', '73-35=38', '63+38=101']\nMoving to Node #0,0,2,0\nCurrent State: 43:[101], Operations: ['94-35=59', '59-21=38', '63+38=101']\nMoving to Node #0,0,1,0\nCurrent State: 43:[101], Operations: ['94-35=59', '63-21=42', '59+42=101']\nMoving to Node #0,2,0,0\nCurrent State: 43:[101], Operations: ['94-21=73', '63-35=28', '73+28=101']\nMoving to Node #0,0,0,0\nCurrent State: 43:[177], Operations: ['94-35=59', '63/21=3', '59*3=177']\nMoving to Node #0,2,2,0\nCurrent State: 43:[350], Operations: ['94-21=73', '73-63=10', '35*10=350']\nMoving to Node #0,1,0,0\nCurrent State: 43:[434], Operations: ['94-63=31', '35-21=14', '31*14=434']\nMoving to Node #0,1,1,0\nCurrent State: 43:[1736], Operations: ['94-63=31', '21+35=56', '31*56=1736']\nMoving to Node #0,1,2,0\nCurrent State: 43:[1820], Operations: ['94-63=31', '21+31=52', '35*52=1820']\nMoving to Node #0,2,0,0\nCurrent State: 43:[2044], Operations: ['94-21=73', '63-35=28', '73*28=2044']\nMoving to Node #0,0,2,0\nCurrent State: 43:[2394], Operations: ['94-35=59', '59-21=38', '63*38=2394']\nMoving to Node #0,2,1,0\nCurrent State: 43:[2394], Operations: ['94-21=73', '73-35=38', '63*38=2394']\nMoving to Node #0,0,1,0\nCurrent State: 43:[2478], Operations: ['94-35=59', '63-21=42', '59*42=2478']\nNo solution found.", "role": "assistant" } ]
[ 95, 50, 10, 19 ]
45
[ "95+50=145", "10*19=190", "190-145=45" ]
Current State: 45:[95, 50, 10, 19], Operations: [] Exploring Operation: 95-10=85, Resulting Numbers: [50, 19, 85] Generated Node #0,0: 45:[50, 19, 85] Operation: 95-10=85 Exploring Operation: 10+19=29, Resulting Numbers: [95, 50, 29] Generated Node #0,1: 45:[95, 50, 29] Operation: 10+19=29 Exploring Operation: 95/19=5, Resulting Numbers: [50, 10, 5] Generated Node #0,2: 45:[50, 10, 5] Operation: 95/19=5 Exploring Operation: 95-50=45, Resulting Numbers: [10, 19, 45] Generated Node #0,3: 45:[10, 19, 45] Operation: 95-50=45 Exploring Operation: 95-19=76, Resulting Numbers: [50, 10, 76] Generated Node #0,4: 45:[50, 10, 76] Operation: 95-19=76 Moving to Node #0,3 Current State: 45:[10, 19, 45], Operations: ['95-50=45'] Exploring Operation: 10+45=55, Resulting Numbers: [19, 55] Generated Node #0,3,0: 45:[19, 55] Operation: 10+45=55 Exploring Operation: 19-10=9, Resulting Numbers: [45, 9] Generated Node #0,3,1: 45:[45, 9] Operation: 19-10=9 Exploring Operation: 10+19=29, Resulting Numbers: [45, 29] Generated Node #0,3,2: 45:[45, 29] Operation: 10+19=29 Exploring Operation: 19+45=64, Resulting Numbers: [10, 64] Generated Node #0,3,3: 45:[10, 64] Operation: 19+45=64 Exploring Operation: 45-10=35, Resulting Numbers: [19, 35] Generated Node #0,3,4: 45:[19, 35] Operation: 45-10=35 Moving to Node #0,1 Current State: 45:[95, 50, 29], Operations: ['10+19=29'] Exploring Operation: 95+29=124, Resulting Numbers: [50, 124] Generated Node #0,1,0: 45:[50, 124] Operation: 95+29=124 Exploring Operation: 95-50=45, Resulting Numbers: [29, 45] Generated Node #0,1,1: 45:[29, 45] Operation: 95-50=45 Exploring Operation: 95-29=66, Resulting Numbers: [50, 66] Generated Node #0,1,2: 45:[50, 66] Operation: 95-29=66 Exploring Operation: 50+29=79, Resulting Numbers: [95, 79] Generated Node #0,1,3: 45:[95, 79] Operation: 50+29=79 Exploring Operation: 50-29=21, Resulting Numbers: [95, 21] Generated Node #0,1,4: 45:[95, 21] Operation: 50-29=21 Moving to Node #0,0 Current State: 45:[50, 19, 85], Operations: ['95-10=85'] Exploring Operation: 85-50=35, Resulting Numbers: [19, 35] Generated Node #0,0,0: 45:[19, 35] Operation: 85-50=35 Exploring Operation: 19+85=104, Resulting Numbers: [50, 104] Generated Node #0,0,1: 45:[50, 104] Operation: 19+85=104 Exploring Operation: 50-19=31, Resulting Numbers: [85, 31] Generated Node #0,0,2: 45:[85, 31] Operation: 50-19=31 Exploring Operation: 50+19=69, Resulting Numbers: [85, 69] Generated Node #0,0,3: 45:[85, 69] Operation: 50+19=69 Exploring Operation: 85-19=66, Resulting Numbers: [50, 66] Generated Node #0,0,4: 45:[50, 66] Operation: 85-19=66 Moving to Node #0,4 Current State: 45:[50, 10, 76], Operations: ['95-19=76'] Exploring Operation: 76-10=66, Resulting Numbers: [50, 66] Generated Node #0,4,0: 45:[50, 66] Operation: 76-10=66 Exploring Operation: 50-10=40, Resulting Numbers: [76, 40] Generated Node #0,4,1: 45:[76, 40] Operation: 50-10=40 Exploring Operation: 76-50=26, Resulting Numbers: [10, 26] Generated Node #0,4,2: 45:[10, 26] Operation: 76-50=26 Exploring Operation: 10+76=86, Resulting Numbers: [50, 86] Generated Node #0,4,3: 45:[50, 86] Operation: 10+76=86 Exploring Operation: 50+10=60, Resulting Numbers: [76, 60] Generated Node #0,4,4: 45:[76, 60] Operation: 50+10=60 Moving to Node #0,2 Current State: 45:[50, 10, 5], Operations: ['95/19=5'] Exploring Operation: 50-5=45, Resulting Numbers: [10, 45] Generated Node #0,2,0: 45:[10, 45] Operation: 50-5=45 Exploring Operation: 10*5=50, Resulting Numbers: [50, 50] Generated Node #0,2,1: 45:[50, 50] Operation: 10*5=50 Exploring Operation: 10+5=15, Resulting Numbers: [50, 15] Generated Node #0,2,2: 45:[50, 15] Operation: 10+5=15 Exploring Operation: 50+5=55, Resulting Numbers: [10, 55] Generated Node #0,2,3: 45:[10, 55] Operation: 50+5=55 Exploring Operation: 50-10=40, Resulting Numbers: [5, 40] Generated Node #0,2,4: 45:[5, 40] Operation: 50-10=40 Moving to Node #0,2,1 Current State: 45:[50, 50], Operations: ['95/19=5', '10*5=50'] Exploring Operation: 50/50=1, Resulting Numbers: [1] 1,45 unequal: No Solution Exploring Operation: 50+50=100, Resulting Numbers: [100] 100,45 unequal: No Solution Exploring Operation: 50-50=0, Resulting Numbers: [0] 0,45 unequal: No Solution Exploring Operation: 50*50=2500, Resulting Numbers: [2500] 2500,45 unequal: No Solution Moving to Node #0,1,1 Current State: 45:[29, 45], Operations: ['10+19=29', '95-50=45'] Exploring Operation: 29+45=74, Resulting Numbers: [74] 74,45 unequal: No Solution Exploring Operation: 29*45=1305, Resulting Numbers: [1305] 1305,45 unequal: No Solution Exploring Operation: 45-29=16, Resulting Numbers: [16] 16,45 unequal: No Solution Moving to Node #0,3,2 Current State: 45:[45, 29], Operations: ['95-50=45', '10+19=29'] Exploring Operation: 45-29=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,45 unequal: No Solution Exploring Operation: 45*29=1305, Resulting Numbers: [1305] 1305,45 unequal: No Solution Moving to Node #0,1,2 Current State: 45:[50, 66], Operations: ['10+19=29', '95-29=66'] Exploring Operation: 50+66=116, Resulting Numbers: [116] 116,45 unequal: No Solution Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 50*66=3300, Resulting Numbers: [3300] 3300,45 unequal: No Solution Moving to Node #0,0,4 Current State: 45:[50, 66], Operations: ['95-10=85', '85-19=66'] Exploring Operation: 50*66=3300, Resulting Numbers: [3300] 3300,45 unequal: No Solution Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 50+66=116, Resulting Numbers: [116] 116,45 unequal: No Solution Moving to Node #0,4,0 Current State: 45:[50, 66], Operations: ['95-19=76', '76-10=66'] Exploring Operation: 50+66=116, Resulting Numbers: [116] 116,45 unequal: No Solution Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 50*66=3300, Resulting Numbers: [3300] 3300,45 unequal: No Solution Moving to Node #0,2,0 Current State: 45:[10, 45], Operations: ['95/19=5', '50-5=45'] Exploring Operation: 10*45=450, Resulting Numbers: [450] 450,45 unequal: No Solution Exploring Operation: 10+45=55, Resulting Numbers: [55] 55,45 unequal: No Solution Exploring Operation: 45-10=35, Resulting Numbers: [35] 35,45 unequal: No Solution Moving to Node #0,2,2 Current State: 45:[50, 15], Operations: ['95/19=5', '10+5=15'] Exploring Operation: 50+15=65, Resulting Numbers: [65] 65,45 unequal: No Solution Exploring Operation: 50-15=35, Resulting Numbers: [35] 35,45 unequal: No Solution Exploring Operation: 50*15=750, Resulting Numbers: [750] 750,45 unequal: No Solution Moving to Node #0,3,1 Current State: 45:[45, 9], Operations: ['95-50=45', '19-10=9'] Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 45*9=405, Resulting Numbers: [405] 405,45 unequal: No Solution Exploring Operation: 45-9=36, Resulting Numbers: [36] 36,45 unequal: No Solution Exploring Operation: 45/9=5, Resulting Numbers: [5] 5,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[19, 35], Operations: ['95-10=85', '85-50=35'] Exploring Operation: 35-19=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 19*35=665, Resulting Numbers: [665] 665,45 unequal: No Solution Exploring Operation: 19+35=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,3,1,0 Current State: 45:[54], Operations: ['95-50=45', '19-10=9', '45+9=54'] Moving to Node #0,3,1,0 Current State: 45:[36], Operations: ['95-50=45', '19-10=9', '45-9=36'] Moving to Node #0,0,0,0 Current State: 45:[54], Operations: ['95-10=85', '85-50=35', '19+35=54'] Moving to Node #0,2,0,0 Current State: 45:[55], Operations: ['95/19=5', '50-5=45', '10+45=55'] Moving to Node #0,2,0,0 Current State: 45:[35], Operations: ['95/19=5', '50-5=45', '45-10=35'] Moving to Node #0,2,2,0 Current State: 45:[35], Operations: ['95/19=5', '10+5=15', '50-15=35'] Moving to Node #0,3,0 Current State: 45:[19, 55], Operations: ['95-50=45', '10+45=55'] Exploring Operation: 19*55=1045, Resulting Numbers: [1045] 1045,45 unequal: No Solution Exploring Operation: 19+55=74, Resulting Numbers: [74] 74,45 unequal: No Solution Exploring Operation: 55-19=36, Resulting Numbers: [36] 36,45 unequal: No Solution Moving to Node #0,3,4 Current State: 45:[19, 35], Operations: ['95-50=45', '45-10=35'] Exploring Operation: 19+35=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 35-19=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 19*35=665, Resulting Numbers: [665] 665,45 unequal: No Solution Moving to Node #0,4,1 Current State: 45:[76, 40], Operations: ['95-19=76', '50-10=40'] Exploring Operation: 76-40=36, Resulting Numbers: [36] 36,45 unequal: No Solution Exploring Operation: 76*40=3040, Resulting Numbers: [3040] 3040,45 unequal: No Solution Exploring Operation: 76+40=116, Resulting Numbers: [116] 116,45 unequal: No Solution Moving to Node #0,2,2,0 Current State: 45:[65], Operations: ['95/19=5', '10+5=15', '50+15=65'] Moving to Node #0,3,0,0 Current State: 45:[36], Operations: ['95-50=45', '10+45=55', '55-19=36'] Moving to Node #0,3,4,0 Current State: 45:[54], Operations: ['95-50=45', '45-10=35', '19+35=54'] Moving to Node #0,4,1,0 Current State: 45:[36], Operations: ['95-19=76', '50-10=40', '76-40=36'] Moving to Node #0,2,3 Current State: 45:[10, 55], Operations: ['95/19=5', '50+5=55'] Exploring Operation: 10+55=65, Resulting Numbers: [65] 65,45 unequal: No Solution Exploring Operation: 55-10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
0.935764
bfs_5
Current State: 45:[95, 50, 10, 19], Operations: [] Exploring Operation: 95+50=145, Resulting Numbers: [10, 19, 145] Generated Node #2: [10, 19, 145] from Operation: 95+50=145 Current State: 45:[10, 19, 145], Operations: ['95+50=145'] Exploring Operation: 10*19=190, Resulting Numbers: [145, 190] Generated Node #3: [145, 190] from Operation: 10*19=190 Current State: 45:[145, 190], Operations: ['95+50=145', '10*19=190'] Exploring Operation: 190-145=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
sum_heuristic
[ { "content": "Make 45 with the numbers [95, 50, 10, 19] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 45:[95, 50, 10, 19], Operations: []\nExploring Operation: 95-10=85, Resulting Numbers: [50, 19, 85]\nGenerated Node #0,0: 45:[50, 19, 85] Operation: 95-10=85\nExploring Operation: 10+19=29, Resulting Numbers: [95, 50, 29]\nGenerated Node #0,1: 45:[95, 50, 29] Operation: 10+19=29\nExploring Operation: 95/19=5, Resulting Numbers: [50, 10, 5]\nGenerated Node #0,2: 45:[50, 10, 5] Operation: 95/19=5\nExploring Operation: 95-50=45, Resulting Numbers: [10, 19, 45]\nGenerated Node #0,3: 45:[10, 19, 45] Operation: 95-50=45\nExploring Operation: 95-19=76, Resulting Numbers: [50, 10, 76]\nGenerated Node #0,4: 45:[50, 10, 76] Operation: 95-19=76\nMoving to Node #0,3\nCurrent State: 45:[10, 19, 45], Operations: ['95-50=45']\nExploring Operation: 10+45=55, Resulting Numbers: [19, 55]\nGenerated Node #0,3,0: 45:[19, 55] Operation: 10+45=55\nExploring Operation: 19-10=9, Resulting Numbers: [45, 9]\nGenerated Node #0,3,1: 45:[45, 9] Operation: 19-10=9\nExploring Operation: 10+19=29, Resulting Numbers: [45, 29]\nGenerated Node #0,3,2: 45:[45, 29] Operation: 10+19=29\nExploring Operation: 19+45=64, Resulting Numbers: [10, 64]\nGenerated Node #0,3,3: 45:[10, 64] Operation: 19+45=64\nExploring Operation: 45-10=35, Resulting Numbers: [19, 35]\nGenerated Node #0,3,4: 45:[19, 35] Operation: 45-10=35\nMoving to Node #0,1\nCurrent State: 45:[95, 50, 29], Operations: ['10+19=29']\nExploring Operation: 95+29=124, Resulting Numbers: [50, 124]\nGenerated Node #0,1,0: 45:[50, 124] Operation: 95+29=124\nExploring Operation: 95-50=45, Resulting Numbers: [29, 45]\nGenerated Node #0,1,1: 45:[29, 45] Operation: 95-50=45\nExploring Operation: 95-29=66, Resulting Numbers: [50, 66]\nGenerated Node #0,1,2: 45:[50, 66] Operation: 95-29=66\nExploring Operation: 50+29=79, Resulting Numbers: [95, 79]\nGenerated Node #0,1,3: 45:[95, 79] Operation: 50+29=79\nExploring Operation: 50-29=21, Resulting Numbers: [95, 21]\nGenerated Node #0,1,4: 45:[95, 21] Operation: 50-29=21\nMoving to Node #0,0\nCurrent State: 45:[50, 19, 85], Operations: ['95-10=85']\nExploring Operation: 85-50=35, Resulting Numbers: [19, 35]\nGenerated Node #0,0,0: 45:[19, 35] Operation: 85-50=35\nExploring Operation: 19+85=104, Resulting Numbers: [50, 104]\nGenerated Node #0,0,1: 45:[50, 104] Operation: 19+85=104\nExploring Operation: 50-19=31, Resulting Numbers: [85, 31]\nGenerated Node #0,0,2: 45:[85, 31] Operation: 50-19=31\nExploring Operation: 50+19=69, Resulting Numbers: [85, 69]\nGenerated Node #0,0,3: 45:[85, 69] Operation: 50+19=69\nExploring Operation: 85-19=66, Resulting Numbers: [50, 66]\nGenerated Node #0,0,4: 45:[50, 66] Operation: 85-19=66\nMoving to Node #0,4\nCurrent State: 45:[50, 10, 76], Operations: ['95-19=76']\nExploring Operation: 76-10=66, Resulting Numbers: [50, 66]\nGenerated Node #0,4,0: 45:[50, 66] Operation: 76-10=66\nExploring Operation: 50-10=40, Resulting Numbers: [76, 40]\nGenerated Node #0,4,1: 45:[76, 40] Operation: 50-10=40\nExploring Operation: 76-50=26, Resulting Numbers: [10, 26]\nGenerated Node #0,4,2: 45:[10, 26] Operation: 76-50=26\nExploring Operation: 10+76=86, Resulting Numbers: [50, 86]\nGenerated Node #0,4,3: 45:[50, 86] Operation: 10+76=86\nExploring Operation: 50+10=60, Resulting Numbers: [76, 60]\nGenerated Node #0,4,4: 45:[76, 60] Operation: 50+10=60\nMoving to Node #0,2\nCurrent State: 45:[50, 10, 5], Operations: ['95/19=5']\nExploring Operation: 50-5=45, Resulting Numbers: [10, 45]\nGenerated Node #0,2,0: 45:[10, 45] Operation: 50-5=45\nExploring Operation: 10*5=50, Resulting Numbers: [50, 50]\nGenerated Node #0,2,1: 45:[50, 50] Operation: 10*5=50\nExploring Operation: 10+5=15, Resulting Numbers: [50, 15]\nGenerated Node #0,2,2: 45:[50, 15] Operation: 10+5=15\nExploring Operation: 50+5=55, Resulting Numbers: [10, 55]\nGenerated Node #0,2,3: 45:[10, 55] Operation: 50+5=55\nExploring Operation: 50-10=40, Resulting Numbers: [5, 40]\nGenerated Node #0,2,4: 45:[5, 40] Operation: 50-10=40\nMoving to Node #0,2,1\nCurrent State: 45:[50, 50], Operations: ['95/19=5', '10*5=50']\nExploring Operation: 50/50=1, Resulting Numbers: [1]\n1,45 unequal: No Solution\nExploring Operation: 50+50=100, Resulting Numbers: [100]\n100,45 unequal: No Solution\nExploring Operation: 50-50=0, Resulting Numbers: [0]\n0,45 unequal: No Solution\nExploring Operation: 50*50=2500, Resulting Numbers: [2500]\n2500,45 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 45:[29, 45], Operations: ['10+19=29', '95-50=45']\nExploring Operation: 29+45=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nExploring Operation: 29*45=1305, Resulting Numbers: [1305]\n1305,45 unequal: No Solution\nExploring Operation: 45-29=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 45:[45, 29], Operations: ['95-50=45', '10+19=29']\nExploring Operation: 45-29=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nExploring Operation: 45+29=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nExploring Operation: 45*29=1305, Resulting Numbers: [1305]\n1305,45 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 45:[50, 66], Operations: ['10+19=29', '95-29=66']\nExploring Operation: 50+66=116, Resulting Numbers: [116]\n116,45 unequal: No Solution\nExploring Operation: 66-50=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nExploring Operation: 50*66=3300, Resulting Numbers: [3300]\n3300,45 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 45:[50, 66], Operations: ['95-10=85', '85-19=66']\nExploring Operation: 50*66=3300, Resulting Numbers: [3300]\n3300,45 unequal: No Solution\nExploring Operation: 66-50=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nExploring Operation: 50+66=116, Resulting Numbers: [116]\n116,45 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 45:[50, 66], Operations: ['95-19=76', '76-10=66']\nExploring Operation: 50+66=116, Resulting Numbers: [116]\n116,45 unequal: No Solution\nExploring Operation: 66-50=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nExploring Operation: 50*66=3300, Resulting Numbers: [3300]\n3300,45 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 45:[10, 45], Operations: ['95/19=5', '50-5=45']\nExploring Operation: 10*45=450, Resulting Numbers: [450]\n450,45 unequal: No Solution\nExploring Operation: 10+45=55, Resulting Numbers: [55]\n55,45 unequal: No Solution\nExploring Operation: 45-10=35, Resulting Numbers: [35]\n35,45 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 45:[50, 15], Operations: ['95/19=5', '10+5=15']\nExploring Operation: 50+15=65, Resulting Numbers: [65]\n65,45 unequal: No Solution\nExploring Operation: 50-15=35, Resulting Numbers: [35]\n35,45 unequal: No Solution\nExploring Operation: 50*15=750, Resulting Numbers: [750]\n750,45 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 45:[45, 9], Operations: ['95-50=45', '19-10=9']\nExploring Operation: 45+9=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nExploring Operation: 45*9=405, Resulting Numbers: [405]\n405,45 unequal: No Solution\nExploring Operation: 45-9=36, Resulting Numbers: [36]\n36,45 unequal: No Solution\nExploring Operation: 45/9=5, Resulting Numbers: [5]\n5,45 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 45:[19, 35], Operations: ['95-10=85', '85-50=35']\nExploring Operation: 35-19=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nExploring Operation: 19*35=665, Resulting Numbers: [665]\n665,45 unequal: No Solution\nExploring Operation: 19+35=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 45:[54], Operations: ['95-50=45', '19-10=9', '45+9=54']\nMoving to Node #0,3,1,0\nCurrent State: 45:[36], Operations: ['95-50=45', '19-10=9', '45-9=36']\nMoving to Node #0,0,0,0\nCurrent State: 45:[54], Operations: ['95-10=85', '85-50=35', '19+35=54']\nMoving to Node #0,2,0,0\nCurrent State: 45:[55], Operations: ['95/19=5', '50-5=45', '10+45=55']\nMoving to Node #0,2,0,0\nCurrent State: 45:[35], Operations: ['95/19=5', '50-5=45', '45-10=35']\nMoving to Node #0,2,2,0\nCurrent State: 45:[35], Operations: ['95/19=5', '10+5=15', '50-15=35']\nMoving to Node #0,3,0\nCurrent State: 45:[19, 55], Operations: ['95-50=45', '10+45=55']\nExploring Operation: 19*55=1045, Resulting Numbers: [1045]\n1045,45 unequal: No Solution\nExploring Operation: 19+55=74, Resulting Numbers: [74]\n74,45 unequal: No Solution\nExploring Operation: 55-19=36, Resulting Numbers: [36]\n36,45 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 45:[19, 35], Operations: ['95-50=45', '45-10=35']\nExploring Operation: 19+35=54, Resulting Numbers: [54]\n54,45 unequal: No Solution\nExploring Operation: 35-19=16, Resulting Numbers: [16]\n16,45 unequal: No Solution\nExploring Operation: 19*35=665, Resulting Numbers: [665]\n665,45 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 45:[76, 40], Operations: ['95-19=76', '50-10=40']\nExploring Operation: 76-40=36, Resulting Numbers: [36]\n36,45 unequal: No Solution\nExploring Operation: 76*40=3040, Resulting Numbers: [3040]\n3040,45 unequal: No Solution\nExploring Operation: 76+40=116, Resulting Numbers: [116]\n116,45 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 45:[65], Operations: ['95/19=5', '10+5=15', '50+15=65']\nMoving to Node #0,3,0,0\nCurrent State: 45:[36], Operations: ['95-50=45', '10+45=55', '55-19=36']\nMoving to Node #0,3,4,0\nCurrent State: 45:[54], Operations: ['95-50=45', '45-10=35', '19+35=54']\nMoving to Node #0,4,1,0\nCurrent State: 45:[36], Operations: ['95-19=76', '50-10=40', '76-40=36']\nMoving to Node #0,2,3\nCurrent State: 45:[10, 55], Operations: ['95/19=5', '50+5=55']\nExploring Operation: 10+55=65, Resulting Numbers: [65]\n65,45 unequal: No Solution\nExploring Operation: 55-10=45, Resulting Numbers: [45]\n45,45 equal: Goal Reached\n", "role": "assistant" } ]
[ 68, 63, 6, 25 ]
30
[ "68-63=5", "6*25=150", "150/5=30" ]
Current State: 30:[68, 63, 6, 25], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [6, 25, 5] Generated Node #0,0: 30:[6, 25, 5] Operation: 68-63=5 Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 6*5=30, Resulting Numbers: [25, 30] Generated Node #0,0,0: 30:[25, 30] Operation: 6*5=30 Moving to Node #0,0,0 Current State: 30:[25, 30], Operations: ['68-63=5', '6*5=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,30 unequal: No Solution Moving to Node #0,0,0 Current State: 30:[25, 30], Operations: ['68-63=5', '6*5=30'] Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 6+5=11, Resulting Numbers: [25, 11] Generated Node #0,0,1: 30:[25, 11] Operation: 6+5=11 Moving to Node #0,0,1 Current State: 30:[25, 11], Operations: ['68-63=5', '6+5=11'] Exploring Operation: 25+11=36, Resulting Numbers: [36] 36,30 unequal: No Solution Moving to Node #0,0,1 Current State: 30:[25, 11], Operations: ['68-63=5', '6+5=11'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 25+5=30, Resulting Numbers: [6, 30] Generated Node #0,0,2: 30:[6, 30] Operation: 25+5=30 Moving to Node #0,0,2 Current State: 30:[6, 30], Operations: ['68-63=5', '25+5=30'] Exploring Operation: 6+30=36, Resulting Numbers: [36] 36,30 unequal: No Solution Moving to Node #0,0,2 Current State: 30:[6, 30], Operations: ['68-63=5', '25+5=30'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,30 unequal: No Solution Moving to Node #0,0,2 Current State: 30:[6, 30], Operations: ['68-63=5', '25+5=30'] Exploring Operation: 30/6=5, Resulting Numbers: [5] 5,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 6+25=31, Resulting Numbers: [5, 31] Generated Node #0,0,3: 30:[5, 31] Operation: 6+25=31 Moving to Node #0,0,3 Current State: 30:[5, 31], Operations: ['68-63=5', '6+25=31'] Exploring Operation: 31-5=26, Resulting Numbers: [26] 26,30 unequal: No Solution Moving to Node #0,0,3 Current State: 30:[5, 31], Operations: ['68-63=5', '6+25=31'] Exploring Operation: 5+31=36, Resulting Numbers: [36] 36,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 6-5=1, Resulting Numbers: [25, 1] Generated Node #0,0,4: 30:[25, 1] Operation: 6-5=1 Moving to Node #0,0,4 Current State: 30:[25, 1], Operations: ['68-63=5', '6-5=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,30 unequal: No Solution Moving to Node #0,0,4 Current State: 30:[25, 1], Operations: ['68-63=5', '6-5=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,30 unequal: No Solution Moving to Node #0,0,4 Current State: 30:[25, 1], Operations: ['68-63=5', '6-5=1'] Exploring Operation: 25/1=25, Resulting Numbers: [25] 25,30 unequal: No Solution Moving to Node #0,0,4 Current State: 30:[25, 1], Operations: ['68-63=5', '6-5=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 25-5=20, Resulting Numbers: [6, 20] Generated Node #0,0,5: 30:[6, 20] Operation: 25-5=20 Moving to Node #0,0,5 Current State: 30:[6, 20], Operations: ['68-63=5', '25-5=20'] Exploring Operation: 6+20=26, Resulting Numbers: [26] 26,30 unequal: No Solution Moving to Node #0,0,5 Current State: 30:[6, 20], Operations: ['68-63=5', '25-5=20'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 25-6=19, Resulting Numbers: [5, 19] Generated Node #0,0,6: 30:[5, 19] Operation: 25-6=19 Moving to Node #0,0,6 Current State: 30:[5, 19], Operations: ['68-63=5', '25-6=19'] Exploring Operation: 5+19=24, Resulting Numbers: [24] 24,30 unequal: No Solution Moving to Node #0,0,6 Current State: 30:[5, 19], Operations: ['68-63=5', '25-6=19'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,30 unequal: No Solution Moving to Node #0,0 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 25/5=5, Resulting Numbers: [6, 5] Generated Node #0,0,7: 30:[6, 5] Operation: 25/5=5 Moving to Node #0,0,7 Current State: 30:[6, 5], Operations: ['68-63=5', '25/5=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
0.975694
dfs
Current State: 30:[68, 63, 6, 25], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [6, 25, 5] Generated Node #2: [6, 25, 5] from Operation: 68-63=5 Current State: 30:[6, 25, 5], Operations: ['68-63=5'] Exploring Operation: 6*25=150, Resulting Numbers: [5, 150] Generated Node #3: [5, 150] from Operation: 6*25=150 Current State: 30:[5, 150], Operations: ['68-63=5', '6*25=150'] Exploring Operation: 150/5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
sum_heuristic
[ { "content": "Make 30 with the numbers [68, 63, 6, 25] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 30:[68, 63, 6, 25], Operations: []\nExploring Operation: 68-63=5, Resulting Numbers: [6, 25, 5]\nGenerated Node #0,0: 30:[6, 25, 5] Operation: 68-63=5\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 6*5=30, Resulting Numbers: [25, 30]\nGenerated Node #0,0,0: 30:[25, 30] Operation: 6*5=30\nMoving to Node #0,0,0\nCurrent State: 30:[25, 30], Operations: ['68-63=5', '6*5=30']\nExploring Operation: 25+30=55, Resulting Numbers: [55]\n55,30 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 30:[25, 30], Operations: ['68-63=5', '6*5=30']\nExploring Operation: 30-25=5, Resulting Numbers: [5]\n5,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 6+5=11, Resulting Numbers: [25, 11]\nGenerated Node #0,0,1: 30:[25, 11] Operation: 6+5=11\nMoving to Node #0,0,1\nCurrent State: 30:[25, 11], Operations: ['68-63=5', '6+5=11']\nExploring Operation: 25+11=36, Resulting Numbers: [36]\n36,30 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 30:[25, 11], Operations: ['68-63=5', '6+5=11']\nExploring Operation: 25-11=14, Resulting Numbers: [14]\n14,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 25+5=30, Resulting Numbers: [6, 30]\nGenerated Node #0,0,2: 30:[6, 30] Operation: 25+5=30\nMoving to Node #0,0,2\nCurrent State: 30:[6, 30], Operations: ['68-63=5', '25+5=30']\nExploring Operation: 6+30=36, Resulting Numbers: [36]\n36,30 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 30:[6, 30], Operations: ['68-63=5', '25+5=30']\nExploring Operation: 30-6=24, Resulting Numbers: [24]\n24,30 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 30:[6, 30], Operations: ['68-63=5', '25+5=30']\nExploring Operation: 30/6=5, Resulting Numbers: [5]\n5,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 6+25=31, Resulting Numbers: [5, 31]\nGenerated Node #0,0,3: 30:[5, 31] Operation: 6+25=31\nMoving to Node #0,0,3\nCurrent State: 30:[5, 31], Operations: ['68-63=5', '6+25=31']\nExploring Operation: 31-5=26, Resulting Numbers: [26]\n26,30 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 30:[5, 31], Operations: ['68-63=5', '6+25=31']\nExploring Operation: 5+31=36, Resulting Numbers: [36]\n36,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 6-5=1, Resulting Numbers: [25, 1]\nGenerated Node #0,0,4: 30:[25, 1] Operation: 6-5=1\nMoving to Node #0,0,4\nCurrent State: 30:[25, 1], Operations: ['68-63=5', '6-5=1']\nExploring Operation: 25+1=26, Resulting Numbers: [26]\n26,30 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 30:[25, 1], Operations: ['68-63=5', '6-5=1']\nExploring Operation: 25*1=25, Resulting Numbers: [25]\n25,30 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 30:[25, 1], Operations: ['68-63=5', '6-5=1']\nExploring Operation: 25/1=25, Resulting Numbers: [25]\n25,30 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 30:[25, 1], Operations: ['68-63=5', '6-5=1']\nExploring Operation: 25-1=24, Resulting Numbers: [24]\n24,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 25-5=20, Resulting Numbers: [6, 20]\nGenerated Node #0,0,5: 30:[6, 20] Operation: 25-5=20\nMoving to Node #0,0,5\nCurrent State: 30:[6, 20], Operations: ['68-63=5', '25-5=20']\nExploring Operation: 6+20=26, Resulting Numbers: [26]\n26,30 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 30:[6, 20], Operations: ['68-63=5', '25-5=20']\nExploring Operation: 20-6=14, Resulting Numbers: [14]\n14,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 25-6=19, Resulting Numbers: [5, 19]\nGenerated Node #0,0,6: 30:[5, 19] Operation: 25-6=19\nMoving to Node #0,0,6\nCurrent State: 30:[5, 19], Operations: ['68-63=5', '25-6=19']\nExploring Operation: 5+19=24, Resulting Numbers: [24]\n24,30 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 30:[5, 19], Operations: ['68-63=5', '25-6=19']\nExploring Operation: 19-5=14, Resulting Numbers: [14]\n14,30 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 30:[6, 25, 5], Operations: ['68-63=5']\nExploring Operation: 25/5=5, Resulting Numbers: [6, 5]\nGenerated Node #0,0,7: 30:[6, 5] Operation: 25/5=5\nMoving to Node #0,0,7\nCurrent State: 30:[6, 5], Operations: ['68-63=5', '25/5=5']\nExploring Operation: 6*5=30, Resulting Numbers: [30]\n30,30 equal: Goal Reached\n", "role": "assistant" } ]
[ 42, 27, 5, 75 ]
10
[ "42-27=15", "75/15=5", "5+5=10" ]
Current State: 10:[42, 27, 5, 75], Operations: [] Exploring Operation: 75/5=15, Resulting Numbers: [42, 27, 15] Generated Node #0,0: 10:[42, 27, 15] Operation: 75/5=15 Exploring Operation: 42-27=15, Resulting Numbers: [5, 75, 15] Generated Node #0,1: 10:[5, 75, 15] Operation: 42-27=15 Exploring Operation: 75-42=33, Resulting Numbers: [27, 5, 33] Generated Node #0,2: 10:[27, 5, 33] Operation: 75-42=33 Moving to Node #0,2 Current State: 10:[27, 5, 33], Operations: ['75-42=33'] Exploring Operation: 33-5=28, Resulting Numbers: [27, 28] Generated Node #0,2,0: 10:[27, 28] Operation: 33-5=28 Exploring Operation: 27-5=22, Resulting Numbers: [33, 22] Generated Node #0,2,1: 10:[33, 22] Operation: 27-5=22 Exploring Operation: 33-27=6, Resulting Numbers: [5, 6] Generated Node #0,2,2: 10:[5, 6] Operation: 33-27=6 Moving to Node #0,0 Current State: 10:[42, 27, 15], Operations: ['75/5=15'] Exploring Operation: 42-27=15, Resulting Numbers: [15, 15] Generated Node #0,0,0: 10:[15, 15] Operation: 42-27=15 Exploring Operation: 27-15=12, Resulting Numbers: [42, 12] Generated Node #0,0,1: 10:[42, 12] Operation: 27-15=12 Exploring Operation: 42-15=27, Resulting Numbers: [27, 27] Generated Node #0,0,2: 10:[27, 27] Operation: 42-15=27 Moving to Node #0,1 Current State: 10:[5, 75, 15], Operations: ['42-27=15'] Exploring Operation: 75-15=60, Resulting Numbers: [5, 60] Generated Node #0,1,0: 10:[5, 60] Operation: 75-15=60 Exploring Operation: 75/5=15, Resulting Numbers: [15, 15] Generated Node #0,1,1: 10:[15, 15] Operation: 75/5=15 Exploring Operation: 75/15=5, Resulting Numbers: [5, 5] Generated Node #0,1,2: 10:[5, 5] Operation: 75/15=5 Moving to Node #0,2,2 Current State: 10:[5, 6], Operations: ['75-42=33', '33-27=6'] Exploring Operation: 6-5=1, Resulting Numbers: [1] 1,10 unequal: No Solution Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,10 unequal: No Solution Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,10 unequal: No Solution Moving to Node #0,1,1 Current State: 10:[15, 15], Operations: ['42-27=15', '75/5=15'] Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,10 unequal: No Solution Exploring Operation: 15/15=1, Resulting Numbers: [1] 1,10 unequal: No Solution Exploring Operation: 15-15=0, Resulting Numbers: [0] 0,10 unequal: No Solution Moving to Node #0,0,0 Current State: 10:[15, 15], Operations: ['75/5=15', '42-27=15'] Exploring Operation: 15-15=0, Resulting Numbers: [0] 0,10 unequal: No Solution Exploring Operation: 15/15=1, Resulting Numbers: [1] 1,10 unequal: No Solution Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,10 unequal: No Solution Moving to Node #0,2,2,0 Current State: 10:[11], Operations: ['75-42=33', '33-27=6', '5+6=11'] Moving to Node #0,1,2 Current State: 10:[5, 5], Operations: ['42-27=15', '75/15=5'] Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,10 unequal: No Solution Exploring Operation: 5-5=0, Resulting Numbers: [0] 0,10 unequal: No Solution Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
0.978299
bfs_3
Current State: 10:[42, 27, 5, 75], Operations: [] Exploring Operation: 42-27=15, Resulting Numbers: [5, 75, 15] Generated Node #2: [5, 75, 15] from Operation: 42-27=15 Current State: 10:[5, 75, 15], Operations: ['42-27=15'] Exploring Operation: 75/15=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 75/15=5 Current State: 10:[5, 5], Operations: ['42-27=15', '75/15=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
sum_heuristic
[ { "content": "Make 10 with the numbers [42, 27, 5, 75] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 10:[42, 27, 5, 75], Operations: []\nExploring Operation: 75/5=15, Resulting Numbers: [42, 27, 15]\nGenerated Node #0,0: 10:[42, 27, 15] Operation: 75/5=15\nExploring Operation: 42-27=15, Resulting Numbers: [5, 75, 15]\nGenerated Node #0,1: 10:[5, 75, 15] Operation: 42-27=15\nExploring Operation: 75-42=33, Resulting Numbers: [27, 5, 33]\nGenerated Node #0,2: 10:[27, 5, 33] Operation: 75-42=33\nMoving to Node #0,2\nCurrent State: 10:[27, 5, 33], Operations: ['75-42=33']\nExploring Operation: 33-5=28, Resulting Numbers: [27, 28]\nGenerated Node #0,2,0: 10:[27, 28] Operation: 33-5=28\nExploring Operation: 27-5=22, Resulting Numbers: [33, 22]\nGenerated Node #0,2,1: 10:[33, 22] Operation: 27-5=22\nExploring Operation: 33-27=6, Resulting Numbers: [5, 6]\nGenerated Node #0,2,2: 10:[5, 6] Operation: 33-27=6\nMoving to Node #0,0\nCurrent State: 10:[42, 27, 15], Operations: ['75/5=15']\nExploring Operation: 42-27=15, Resulting Numbers: [15, 15]\nGenerated Node #0,0,0: 10:[15, 15] Operation: 42-27=15\nExploring Operation: 27-15=12, Resulting Numbers: [42, 12]\nGenerated Node #0,0,1: 10:[42, 12] Operation: 27-15=12\nExploring Operation: 42-15=27, Resulting Numbers: [27, 27]\nGenerated Node #0,0,2: 10:[27, 27] Operation: 42-15=27\nMoving to Node #0,1\nCurrent State: 10:[5, 75, 15], Operations: ['42-27=15']\nExploring Operation: 75-15=60, Resulting Numbers: [5, 60]\nGenerated Node #0,1,0: 10:[5, 60] Operation: 75-15=60\nExploring Operation: 75/5=15, Resulting Numbers: [15, 15]\nGenerated Node #0,1,1: 10:[15, 15] Operation: 75/5=15\nExploring Operation: 75/15=5, Resulting Numbers: [5, 5]\nGenerated Node #0,1,2: 10:[5, 5] Operation: 75/15=5\nMoving to Node #0,2,2\nCurrent State: 10:[5, 6], Operations: ['75-42=33', '33-27=6']\nExploring Operation: 6-5=1, Resulting Numbers: [1]\n1,10 unequal: No Solution\nExploring Operation: 5*6=30, Resulting Numbers: [30]\n30,10 unequal: No Solution\nExploring Operation: 5+6=11, Resulting Numbers: [11]\n11,10 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 10:[15, 15], Operations: ['42-27=15', '75/5=15']\nExploring Operation: 15+15=30, Resulting Numbers: [30]\n30,10 unequal: No Solution\nExploring Operation: 15/15=1, Resulting Numbers: [1]\n1,10 unequal: No Solution\nExploring Operation: 15-15=0, Resulting Numbers: [0]\n0,10 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 10:[15, 15], Operations: ['75/5=15', '42-27=15']\nExploring Operation: 15-15=0, Resulting Numbers: [0]\n0,10 unequal: No Solution\nExploring Operation: 15/15=1, Resulting Numbers: [1]\n1,10 unequal: No Solution\nExploring Operation: 15+15=30, Resulting Numbers: [30]\n30,10 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 10:[11], Operations: ['75-42=33', '33-27=6', '5+6=11']\nMoving to Node #0,1,2\nCurrent State: 10:[5, 5], Operations: ['42-27=15', '75/15=5']\nExploring Operation: 5/5=1, Resulting Numbers: [1]\n1,10 unequal: No Solution\nExploring Operation: 5-5=0, Resulting Numbers: [0]\n0,10 unequal: No Solution\nExploring Operation: 5+5=10, Resulting Numbers: [10]\n10,10 equal: Goal Reached\n", "role": "assistant" } ]
[ 36, 30, 45, 37 ]
91
[ "36*45=1620", "1620/30=54", "37+54=91" ]
Current State: 91:[36, 30, 45, 37], Operations: [] Exploring Operation: 36+37=73, Resulting Numbers: [30, 45, 73] Generated Node #0,0: 91:[30, 45, 73] Operation: 36+37=73 Exploring Operation: 30+45=75, Resulting Numbers: [36, 37, 75] Generated Node #0,1: 91:[36, 37, 75] Operation: 30+45=75 Exploring Operation: 36+30=66, Resulting Numbers: [45, 37, 66] Generated Node #0,2: 91:[45, 37, 66] Operation: 36+30=66 Exploring Operation: 36+45=81, Resulting Numbers: [30, 37, 81] Generated Node #0,3: 91:[30, 37, 81] Operation: 36+45=81 Exploring Operation: 30+37=67, Resulting Numbers: [36, 45, 67] Generated Node #0,4: 91:[36, 45, 67] Operation: 30+37=67 Moving to Node #0,0 Current State: 91:[30, 45, 73], Operations: ['36+37=73'] Exploring Operation: 30+73=103, Resulting Numbers: [45, 103] Generated Node #0,0,0: 91:[45, 103] Operation: 30+73=103 Exploring Operation: 45+73=118, Resulting Numbers: [30, 118] Generated Node #0,0,1: 91:[30, 118] Operation: 45+73=118 Exploring Operation: 73-30=43, Resulting Numbers: [45, 43] Generated Node #0,0,2: 91:[45, 43] Operation: 73-30=43 Exploring Operation: 45-30=15, Resulting Numbers: [73, 15] Generated Node #0,0,3: 91:[73, 15] Operation: 45-30=15 Exploring Operation: 30+45=75, Resulting Numbers: [73, 75] Generated Node #0,0,4: 91:[73, 75] Operation: 30+45=75 Moving to Node #0,2 Current State: 91:[45, 37, 66], Operations: ['36+30=66'] Exploring Operation: 45+37=82, Resulting Numbers: [66, 82] Generated Node #0,2,0: 91:[66, 82] Operation: 45+37=82 Exploring Operation: 45+66=111, Resulting Numbers: [37, 111] Generated Node #0,2,1: 91:[37, 111] Operation: 45+66=111 Exploring Operation: 45-37=8, Resulting Numbers: [66, 8] Generated Node #0,2,2: 91:[66, 8] Operation: 45-37=8 Exploring Operation: 37+66=103, Resulting Numbers: [45, 103] Generated Node #0,2,3: 91:[45, 103] Operation: 37+66=103 Exploring Operation: 66-37=29, Resulting Numbers: [45, 29] Generated Node #0,2,4: 91:[45, 29] Operation: 66-37=29 Moving to Node #0,4 Current State: 91:[36, 45, 67], Operations: ['30+37=67'] Exploring Operation: 67-36=31, Resulting Numbers: [45, 31] Generated Node #0,4,0: 91:[45, 31] Operation: 67-36=31 Exploring Operation: 36+67=103, Resulting Numbers: [45, 103] Generated Node #0,4,1: 91:[45, 103] Operation: 36+67=103 Exploring Operation: 45-36=9, Resulting Numbers: [67, 9] Generated Node #0,4,2: 91:[67, 9] Operation: 45-36=9 Exploring Operation: 45+67=112, Resulting Numbers: [36, 112] Generated Node #0,4,3: 91:[36, 112] Operation: 45+67=112 Exploring Operation: 36+45=81, Resulting Numbers: [67, 81] Generated Node #0,4,4: 91:[67, 81] Operation: 36+45=81 Moving to Node #0,1 Current State: 91:[36, 37, 75], Operations: ['30+45=75'] Exploring Operation: 37-36=1, Resulting Numbers: [75, 1] Generated Node #0,1,0: 91:[75, 1] Operation: 37-36=1 Exploring Operation: 36+37=73, Resulting Numbers: [75, 73] Generated Node #0,1,1: 91:[75, 73] Operation: 36+37=73 Exploring Operation: 37+75=112, Resulting Numbers: [36, 112] Generated Node #0,1,2: 91:[36, 112] Operation: 37+75=112 Exploring Operation: 36+75=111, Resulting Numbers: [37, 111] Generated Node #0,1,3: 91:[37, 111] Operation: 36+75=111 Exploring Operation: 75-36=39, Resulting Numbers: [37, 39] Generated Node #0,1,4: 91:[37, 39] Operation: 75-36=39 Moving to Node #0,3 Current State: 91:[30, 37, 81], Operations: ['36+45=81'] Exploring Operation: 37-30=7, Resulting Numbers: [81, 7] Generated Node #0,3,0: 91:[81, 7] Operation: 37-30=7 Exploring Operation: 37+81=118, Resulting Numbers: [30, 118] Generated Node #0,3,1: 91:[30, 118] Operation: 37+81=118 Exploring Operation: 30+37=67, Resulting Numbers: [81, 67] Generated Node #0,3,2: 91:[81, 67] Operation: 30+37=67 Exploring Operation: 81-30=51, Resulting Numbers: [37, 51] Generated Node #0,3,3: 91:[37, 51] Operation: 81-30=51 Exploring Operation: 30+81=111, Resulting Numbers: [37, 111] Generated Node #0,3,4: 91:[37, 111] Operation: 30+81=111 Moving to Node #0,0,4 Current State: 91:[73, 75], Operations: ['36+37=73', '30+45=75'] Exploring Operation: 73*75=5475, Resulting Numbers: [5475] 5475,91 unequal: No Solution Exploring Operation: 73+75=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 75-73=2, Resulting Numbers: [2] 2,91 unequal: No Solution Moving to Node #0,2,0 Current State: 91:[66, 82], Operations: ['36+30=66', '45+37=82'] Exploring Operation: 66*82=5412, Resulting Numbers: [5412] 5412,91 unequal: No Solution Exploring Operation: 82-66=16, Resulting Numbers: [16] 16,91 unequal: No Solution Exploring Operation: 66+82=148, Resulting Numbers: [148] 148,91 unequal: No Solution Moving to Node #0,4,4 Current State: 91:[67, 81], Operations: ['30+37=67', '36+45=81'] Exploring Operation: 67+81=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 81-67=14, Resulting Numbers: [14] 14,91 unequal: No Solution Exploring Operation: 67*81=5427, Resulting Numbers: [5427] 5427,91 unequal: No Solution Moving to Node #0,3,2 Current State: 91:[81, 67], Operations: ['36+45=81', '30+37=67'] Exploring Operation: 81-67=14, Resulting Numbers: [14] 14,91 unequal: No Solution Exploring Operation: 81*67=5427, Resulting Numbers: [5427] 5427,91 unequal: No Solution Exploring Operation: 81+67=148, Resulting Numbers: [148] 148,91 unequal: No Solution Moving to Node #0,1,1 Current State: 91:[75, 73], Operations: ['30+45=75', '36+37=73'] Exploring Operation: 75*73=5475, Resulting Numbers: [5475] 5475,91 unequal: No Solution Exploring Operation: 75-73=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 75+73=148, Resulting Numbers: [148] 148,91 unequal: No Solution Moving to Node #0,2,3 Current State: 91:[45, 103], Operations: ['36+30=66', '37+66=103'] Exploring Operation: 45+103=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 45*103=4635, Resulting Numbers: [4635] 4635,91 unequal: No Solution Exploring Operation: 103-45=58, Resulting Numbers: [58] 58,91 unequal: No Solution Moving to Node #0,4,1 Current State: 91:[45, 103], Operations: ['30+37=67', '36+67=103'] Exploring Operation: 103-45=58, Resulting Numbers: [58] 58,91 unequal: No Solution Exploring Operation: 45*103=4635, Resulting Numbers: [4635] 4635,91 unequal: No Solution Exploring Operation: 45+103=148, Resulting Numbers: [148] 148,91 unequal: No Solution Moving to Node #0,0,0 Current State: 91:[45, 103], Operations: ['36+37=73', '30+73=103'] Exploring Operation: 45*103=4635, Resulting Numbers: [4635] 4635,91 unequal: No Solution Exploring Operation: 45+103=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 103-45=58, Resulting Numbers: [58] 58,91 unequal: No Solution Moving to Node #0,3,4 Current State: 91:[37, 111], Operations: ['36+45=81', '30+81=111'] Exploring Operation: 37+111=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 37*111=4107, Resulting Numbers: [4107] 4107,91 unequal: No Solution Exploring Operation: 111-37=74, Resulting Numbers: [74] 74,91 unequal: No Solution Exploring Operation: 111/37=3, Resulting Numbers: [3] 3,91 unequal: No Solution Moving to Node #0,2,1 Current State: 91:[37, 111], Operations: ['36+30=66', '45+66=111'] Exploring Operation: 111/37=3, Resulting Numbers: [3] 3,91 unequal: No Solution Exploring Operation: 37*111=4107, Resulting Numbers: [4107] 4107,91 unequal: No Solution Exploring Operation: 111-37=74, Resulting Numbers: [74] 74,91 unequal: No Solution Exploring Operation: 37+111=148, Resulting Numbers: [148] 148,91 unequal: No Solution Moving to Node #0,3,4,0 Current State: 91:[74], Operations: ['36+45=81', '30+81=111', '111-37=74'] Moving to Node #0,2,1,0 Current State: 91:[74], Operations: ['36+30=66', '45+66=111', '111-37=74'] Moving to Node #0,2,3,0 Current State: 91:[58], Operations: ['36+30=66', '37+66=103', '103-45=58'] Moving to Node #0,4,1,0 Current State: 91:[58], Operations: ['30+37=67', '36+67=103', '103-45=58'] Moving to Node #0,0,0,0 Current State: 91:[58], Operations: ['36+37=73', '30+73=103', '103-45=58'] Moving to Node #0,1,3 Current State: 91:[37, 111], Operations: ['30+45=75', '36+75=111'] Exploring Operation: 111-37=74, Resulting Numbers: [74] 74,91 unequal: No Solution Exploring Operation: 37+111=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 111/37=3, Resulting Numbers: [3] 3,91 unequal: No Solution Exploring Operation: 37*111=4107, Resulting Numbers: [4107] 4107,91 unequal: No Solution Moving to Node #0,4,3 Current State: 91:[36, 112], Operations: ['30+37=67', '45+67=112'] Exploring Operation: 36+112=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 36*112=4032, Resulting Numbers: [4032] 4032,91 unequal: No Solution Exploring Operation: 112-36=76, Resulting Numbers: [76] 76,91 unequal: No Solution Moving to Node #0,1,2 Current State: 91:[36, 112], Operations: ['30+45=75', '37+75=112'] Exploring Operation: 36*112=4032, Resulting Numbers: [4032] 4032,91 unequal: No Solution Exploring Operation: 36+112=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 112-36=76, Resulting Numbers: [76] 76,91 unequal: No Solution Moving to Node #0,0,1 Current State: 91:[30, 118], Operations: ['36+37=73', '45+73=118'] Exploring Operation: 30*118=3540, Resulting Numbers: [3540] 3540,91 unequal: No Solution Exploring Operation: 30+118=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 118-30=88, Resulting Numbers: [88] 88,91 unequal: No Solution Moving to Node #0,3,1 Current State: 91:[30, 118], Operations: ['36+45=81', '37+81=118'] Exploring Operation: 30+118=148, Resulting Numbers: [148] 148,91 unequal: No Solution Exploring Operation: 118-30=88, Resulting Numbers: [88] 88,91 unequal: No Solution Exploring Operation: 30*118=3540, Resulting Numbers: [3540] 3540,91 unequal: No Solution Moving to Node #0,0,1,0 Current State: 91:[88], Operations: ['36+37=73', '45+73=118', '118-30=88'] Moving to Node #0,3,1,0 Current State: 91:[88], Operations: ['36+45=81', '37+81=118', '118-30=88'] Moving to Node #0,4,3,0 Current State: 91:[76], Operations: ['30+37=67', '45+67=112', '112-36=76'] Moving to Node #0,1,2,0 Current State: 91:[76], Operations: ['30+45=75', '37+75=112', '112-36=76'] Moving to Node #0,1,3,0 Current State: 91:[74], Operations: ['30+45=75', '36+75=111', '111-37=74'] Moving to Node #0,3,3 Current State: 91:[37, 51], Operations: ['36+45=81', '81-30=51'] Exploring Operation: 37*51=1887, Resulting Numbers: [1887] 1887,91 unequal: No Solution Exploring Operation: 51-37=14, Resulting Numbers: [14] 14,91 unequal: No Solution Exploring Operation: 37+51=88, Resulting Numbers: [88] 88,91 unequal: No Solution Moving to Node #0,3,0 Current State: 91:[81, 7], Operations: ['36+45=81', '37-30=7'] Exploring Operation: 81+7=88, Resulting Numbers: [88] 88,91 unequal: No Solution Exploring Operation: 81*7=567, Resulting Numbers: [567] 567,91 unequal: No Solution Exploring Operation: 81-7=74, Resulting Numbers: [74] 74,91 unequal: No Solution Moving to Node #0,0,3 Current State: 91:[73, 15], Operations: ['36+37=73', '45-30=15'] Exploring Operation: 73-15=58, Resulting Numbers: [58] 58,91 unequal: No Solution Exploring Operation: 73*15=1095, Resulting Numbers: [1095] 1095,91 unequal: No Solution Exploring Operation: 73+15=88, Resulting Numbers: [88] 88,91 unequal: No Solution Moving to Node #0,0,2 Current State: 91:[45, 43], Operations: ['36+37=73', '73-30=43'] Exploring Operation: 45*43=1935, Resulting Numbers: [1935] 1935,91 unequal: No Solution Exploring Operation: 45+43=88, Resulting Numbers: [88] 88,91 unequal: No Solution Exploring Operation: 45-43=2, Resulting Numbers: [2] 2,91 unequal: No Solution Moving to Node #0,4,0 Current State: 91:[45, 31], Operations: ['30+37=67', '67-36=31'] Exploring Operation: 45+31=76, Resulting Numbers: [76] 76,91 unequal: No Solution Exploring Operation: 45*31=1395, Resulting Numbers: [1395] 1395,91 unequal: No Solution Exploring Operation: 45-31=14, Resulting Numbers: [14] 14,91 unequal: No Solution Moving to Node #0,3,3,0 Current State: 91:[88], Operations: ['36+45=81', '81-30=51', '37+51=88'] Moving to Node #0,0,3,0 Current State: 91:[88], Operations: ['36+37=73', '45-30=15', '73+15=88'] Moving to Node #0,0,2,0 Current State: 91:[88], Operations: ['36+37=73', '73-30=43', '45+43=88'] Moving to Node #0,3,0,0 Current State: 91:[88], Operations: ['36+45=81', '37-30=7', '81+7=88'] Moving to Node #0,4,0,0 Current State: 91:[76], Operations: ['30+37=67', '67-36=31', '45+31=76'] Moving to Node #0,3,0,0 Current State: 91:[74], Operations: ['36+45=81', '37-30=7', '81-7=74'] Moving to Node #0,0,3,0 Current State: 91:[58], Operations: ['36+37=73', '45-30=15', '73-15=58'] Moving to Node #0,1,4 Current State: 91:[37, 39], Operations: ['30+45=75', '75-36=39'] Exploring Operation: 37+39=76, Resulting Numbers: [76] 76,91 unequal: No Solution Exploring Operation: 39-37=2, Resulting Numbers: [2] 2,91 unequal: No Solution Exploring Operation: 37*39=1443, Resulting Numbers: [1443] 1443,91 unequal: No Solution Moving to Node #0,4,2 Current State: 91:[67, 9], Operations: ['30+37=67', '45-36=9'] Exploring Operation: 67+9=76, Resulting Numbers: [76] 76,91 unequal: No Solution Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,91 unequal: No Solution Exploring Operation: 67*9=603, Resulting Numbers: [603] 603,91 unequal: No Solution Moving to Node #0,1,0 Current State: 91:[75, 1], Operations: ['30+45=75', '37-36=1'] Exploring Operation: 75/1=75, Resulting Numbers: [75] 75,91 unequal: No Solution Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,91 unequal: No Solution Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,91 unequal: No Solution Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,91 unequal: No Solution Moving to Node #0,1,4,0 Current State: 91:[76], Operations: ['30+45=75', '75-36=39', '37+39=76'] Moving to Node #0,4,2,0 Current State: 91:[76], Operations: ['30+37=67', '45-36=9', '67+9=76'] Moving to Node #0,1,0,0 Current State: 91:[76], Operations: ['30+45=75', '37-36=1', '75+1=76'] Moving to Node #0,1,0,0 Current State: 91:[75], Operations: ['30+45=75', '37-36=1', '75/1=75'] Moving to Node #0,1,0,0 Current State: 91:[75], Operations: ['30+45=75', '37-36=1', '75*1=75'] Moving to Node #0,1,0,0 Current State: 91:[74], Operations: ['30+45=75', '37-36=1', '75-1=74'] Moving to Node #0,4,2,0 Current State: 91:[58], Operations: ['30+37=67', '45-36=9', '67-9=58'] Moving to Node #0,2,4 Current State: 91:[45, 29], Operations: ['36+30=66', '66-37=29'] Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,91 unequal: No Solution Exploring Operation: 45-29=16, Resulting Numbers: [16] 16,91 unequal: No Solution Exploring Operation: 45*29=1305, Resulting Numbers: [1305] 1305,91 unequal: No Solution Moving to Node #0,2,2 Current State: 91:[66, 8], Operations: ['36+30=66', '45-37=8'] Exploring Operation: 66*8=528, Resulting Numbers: [528] 528,91 unequal: No Solution Exploring Operation: 66+8=74, Resulting Numbers: [74] 74,91 unequal: No Solution Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,91 unequal: No Solution Moving to Node #0,3,2,0 Current State: 91:[148], Operations: ['36+45=81', '30+37=67', '81+67=148'] Moving to Node #0,2,4,0 Current State: 91:[74], Operations: ['36+30=66', '66-37=29', '45+29=74'] Moving to Node #0,2,2,0 Current State: 91:[74], Operations: ['36+30=66', '45-37=8', '66+8=74'] Moving to Node #0,2,2,0 Current State: 91:[58], Operations: ['36+30=66', '45-37=8', '66-8=58'] Moving to Node #0,3,1,0 Current State: 91:[148], Operations: ['36+45=81', '37+81=118', '30+118=148'] Moving to Node #0,4,4,0 Current State: 91:[148], Operations: ['30+37=67', '36+45=81', '67+81=148'] Moving to Node #0,2,0,0 Current State: 91:[148], Operations: ['36+30=66', '45+37=82', '66+82=148'] Moving to Node #0,1,2,0 Current State: 91:[148], Operations: ['30+45=75', '37+75=112', '36+112=148'] Moving to Node #0,2,1,0 Current State: 91:[148], Operations: ['36+30=66', '45+66=111', '37+111=148'] Moving to Node #0,4,3,0 Current State: 91:[148], Operations: ['30+37=67', '45+67=112', '36+112=148'] Moving to Node #0,0,4,0 Current State: 91:[148], Operations: ['36+37=73', '30+45=75', '73+75=148'] Moving to Node #0,0,1,0 Current State: 91:[148], Operations: ['36+37=73', '45+73=118', '30+118=148'] Moving to Node #0,1,3,0 Current State: 91:[148], Operations: ['30+45=75', '36+75=111', '37+111=148'] Moving to Node #0,0,0,0 Current State: 91:[148], Operations: ['36+37=73', '30+73=103', '45+103=148'] Moving to Node #0,4,1,0 Current State: 91:[148], Operations: ['30+37=67', '36+67=103', '45+103=148'] Moving to Node #0,1,1,0 Current State: 91:[148], Operations: ['30+45=75', '36+37=73', '75+73=148'] Moving to Node #0,3,4,0 Current State: 91:[148], Operations: ['36+45=81', '30+81=111', '37+111=148'] Moving to Node #0,2,3,0 Current State: 91:[148], Operations: ['36+30=66', '37+66=103', '45+103=148'] Moving to Node #0,2,4,0 Current State: 91:[16], Operations: ['36+30=66', '66-37=29', '45-29=16'] Moving to Node #0,2,0,0 Current State: 91:[16], Operations: ['36+30=66', '45+37=82', '82-66=16'] Moving to Node #0,4,0,0 Current State: 91:[14], Operations: ['30+37=67', '67-36=31', '45-31=14'] Moving to Node #0,4,4,0 Current State: 91:[14], Operations: ['30+37=67', '36+45=81', '81-67=14'] Moving to Node #0,3,3,0 Current State: 91:[14], Operations: ['36+45=81', '81-30=51', '51-37=14'] Moving to Node #0,3,2,0 Current State: 91:[14], Operations: ['36+45=81', '30+37=67', '81-67=14'] Moving to Node #0,3,4,0 Current State: 91:[3], Operations: ['36+45=81', '30+81=111', '111/37=3'] Moving to Node #0,2,1,0 Current State: 91:[3], Operations: ['36+30=66', '45+66=111', '111/37=3'] Moving to Node #0,1,3,0 Current State: 91:[3], Operations: ['30+45=75', '36+75=111', '111/37=3'] Moving to Node #0,0,4,0 Current State: 91:[2], Operations: ['36+37=73', '30+45=75', '75-73=2'] Moving to Node #0,1,4,0 Current State: 91:[2], Operations: ['30+45=75', '75-36=39', '39-37=2'] Moving to Node #0,0,2,0 Current State: 91:[2], Operations: ['36+37=73', '73-30=43', '45-43=2'] Moving to Node #0,1,1,0 Current State: 91:[2], Operations: ['30+45=75', '36+37=73', '75-73=2'] Moving to Node #0,2,2,0 Current State: 91:[528], Operations: ['36+30=66', '45-37=8', '66*8=528'] Moving to Node #0,3,0,0 Current State: 91:[567], Operations: ['36+45=81', '37-30=7', '81*7=567'] Moving to Node #0,4,2,0 Current State: 91:[603], Operations: ['30+37=67', '45-36=9', '67*9=603'] Moving to Node #0,0,3,0 Current State: 91:[1095], Operations: ['36+37=73', '45-30=15', '73*15=1095'] Moving to Node #0,2,4,0 Current State: 91:[1305], Operations: ['36+30=66', '66-37=29', '45*29=1305'] Moving to Node #0,4,0,0 Current State: 91:[1395], Operations: ['30+37=67', '67-36=31', '45*31=1395'] Moving to Node #0,1,4,0 Current State: 91:[1443], Operations: ['30+45=75', '75-36=39', '37*39=1443'] Moving to Node #0,3,3,0 Current State: 91:[1887], Operations: ['36+45=81', '81-30=51', '37*51=1887'] Moving to Node #0,0,2,0 Current State: 91:[1935], Operations: ['36+37=73', '73-30=43', '45*43=1935'] Moving to Node #0,3,1,0 Current State: 91:[3540], Operations: ['36+45=81', '37+81=118', '30*118=3540'] Moving to Node #0,0,1,0 Current State: 91:[3540], Operations: ['36+37=73', '45+73=118', '30*118=3540'] Moving to Node #0,4,3,0 Current State: 91:[4032], Operations: ['30+37=67', '45+67=112', '36*112=4032'] Moving to Node #0,1,2,0 Current State: 91:[4032], Operations: ['30+45=75', '37+75=112', '36*112=4032'] Moving to Node #0,3,4,0 Current State: 91:[4107], Operations: ['36+45=81', '30+81=111', '37*111=4107'] Moving to Node #0,1,3,0 Current State: 91:[4107], Operations: ['30+45=75', '36+75=111', '37*111=4107'] Moving to Node #0,2,1,0 Current State: 91:[4107], Operations: ['36+30=66', '45+66=111', '37*111=4107'] Moving to Node #0,2,3,0 Current State: 91:[4635], Operations: ['36+30=66', '37+66=103', '45*103=4635'] Moving to Node #0,4,1,0 Current State: 91:[4635], Operations: ['30+37=67', '36+67=103', '45*103=4635'] Moving to Node #0,0,0,0 Current State: 91:[4635], Operations: ['36+37=73', '30+73=103', '45*103=4635'] Moving to Node #0,2,0,0 Current State: 91:[5412], Operations: ['36+30=66', '45+37=82', '66*82=5412'] Moving to Node #0,3,2,0 Current State: 91:[5427], Operations: ['36+45=81', '30+37=67', '81*67=5427'] Moving to Node #0,4,4,0 Current State: 91:[5427], Operations: ['30+37=67', '36+45=81', '67*81=5427'] Moving to Node #0,0,4,0 Current State: 91:[5475], Operations: ['36+37=73', '30+45=75', '73*75=5475'] Moving to Node #0,1,1,0 Current State: 91:[5475], Operations: ['30+45=75', '36+37=73', '75*73=5475'] No solution found.
0
bfs_5
Current State: 91:[36, 30, 45, 37], Operations: [] Exploring Operation: 36*45=1620, Resulting Numbers: [30, 37, 1620] Generated Node #2: [30, 37, 1620] from Operation: 36*45=1620 Current State: 91:[30, 37, 1620], Operations: ['36*45=1620'] Exploring Operation: 1620/30=54, Resulting Numbers: [37, 54] Generated Node #3: [37, 54] from Operation: 1620/30=54 Current State: 91:[37, 54], Operations: ['36*45=1620', '1620/30=54'] Exploring Operation: 37+54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
sum_heuristic
[ { "content": "Make 91 with the numbers [36, 30, 45, 37] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 91:[36, 30, 45, 37], Operations: []\nExploring Operation: 36+37=73, Resulting Numbers: [30, 45, 73]\nGenerated Node #0,0: 91:[30, 45, 73] Operation: 36+37=73\nExploring Operation: 30+45=75, Resulting Numbers: [36, 37, 75]\nGenerated Node #0,1: 91:[36, 37, 75] Operation: 30+45=75\nExploring Operation: 36+30=66, Resulting Numbers: [45, 37, 66]\nGenerated Node #0,2: 91:[45, 37, 66] Operation: 36+30=66\nExploring Operation: 36+45=81, Resulting Numbers: [30, 37, 81]\nGenerated Node #0,3: 91:[30, 37, 81] Operation: 36+45=81\nExploring Operation: 30+37=67, Resulting Numbers: [36, 45, 67]\nGenerated Node #0,4: 91:[36, 45, 67] Operation: 30+37=67\nMoving to Node #0,0\nCurrent State: 91:[30, 45, 73], Operations: ['36+37=73']\nExploring Operation: 30+73=103, Resulting Numbers: [45, 103]\nGenerated Node #0,0,0: 91:[45, 103] Operation: 30+73=103\nExploring Operation: 45+73=118, Resulting Numbers: [30, 118]\nGenerated Node #0,0,1: 91:[30, 118] Operation: 45+73=118\nExploring Operation: 73-30=43, Resulting Numbers: [45, 43]\nGenerated Node #0,0,2: 91:[45, 43] Operation: 73-30=43\nExploring Operation: 45-30=15, Resulting Numbers: [73, 15]\nGenerated Node #0,0,3: 91:[73, 15] Operation: 45-30=15\nExploring Operation: 30+45=75, Resulting Numbers: [73, 75]\nGenerated Node #0,0,4: 91:[73, 75] Operation: 30+45=75\nMoving to Node #0,2\nCurrent State: 91:[45, 37, 66], Operations: ['36+30=66']\nExploring Operation: 45+37=82, Resulting Numbers: [66, 82]\nGenerated Node #0,2,0: 91:[66, 82] Operation: 45+37=82\nExploring Operation: 45+66=111, Resulting Numbers: [37, 111]\nGenerated Node #0,2,1: 91:[37, 111] Operation: 45+66=111\nExploring Operation: 45-37=8, Resulting Numbers: [66, 8]\nGenerated Node #0,2,2: 91:[66, 8] Operation: 45-37=8\nExploring Operation: 37+66=103, Resulting Numbers: [45, 103]\nGenerated Node #0,2,3: 91:[45, 103] Operation: 37+66=103\nExploring Operation: 66-37=29, Resulting Numbers: [45, 29]\nGenerated Node #0,2,4: 91:[45, 29] Operation: 66-37=29\nMoving to Node #0,4\nCurrent State: 91:[36, 45, 67], Operations: ['30+37=67']\nExploring Operation: 67-36=31, Resulting Numbers: [45, 31]\nGenerated Node #0,4,0: 91:[45, 31] Operation: 67-36=31\nExploring Operation: 36+67=103, Resulting Numbers: [45, 103]\nGenerated Node #0,4,1: 91:[45, 103] Operation: 36+67=103\nExploring Operation: 45-36=9, Resulting Numbers: [67, 9]\nGenerated Node #0,4,2: 91:[67, 9] Operation: 45-36=9\nExploring Operation: 45+67=112, Resulting Numbers: [36, 112]\nGenerated Node #0,4,3: 91:[36, 112] Operation: 45+67=112\nExploring Operation: 36+45=81, Resulting Numbers: [67, 81]\nGenerated Node #0,4,4: 91:[67, 81] Operation: 36+45=81\nMoving to Node #0,1\nCurrent State: 91:[36, 37, 75], Operations: ['30+45=75']\nExploring Operation: 37-36=1, Resulting Numbers: [75, 1]\nGenerated Node #0,1,0: 91:[75, 1] Operation: 37-36=1\nExploring Operation: 36+37=73, Resulting Numbers: [75, 73]\nGenerated Node #0,1,1: 91:[75, 73] Operation: 36+37=73\nExploring Operation: 37+75=112, Resulting Numbers: [36, 112]\nGenerated Node #0,1,2: 91:[36, 112] Operation: 37+75=112\nExploring Operation: 36+75=111, Resulting Numbers: [37, 111]\nGenerated Node #0,1,3: 91:[37, 111] Operation: 36+75=111\nExploring Operation: 75-36=39, Resulting Numbers: [37, 39]\nGenerated Node #0,1,4: 91:[37, 39] Operation: 75-36=39\nMoving to Node #0,3\nCurrent State: 91:[30, 37, 81], Operations: ['36+45=81']\nExploring Operation: 37-30=7, Resulting Numbers: [81, 7]\nGenerated Node #0,3,0: 91:[81, 7] Operation: 37-30=7\nExploring Operation: 37+81=118, Resulting Numbers: [30, 118]\nGenerated Node #0,3,1: 91:[30, 118] Operation: 37+81=118\nExploring Operation: 30+37=67, Resulting Numbers: [81, 67]\nGenerated Node #0,3,2: 91:[81, 67] Operation: 30+37=67\nExploring Operation: 81-30=51, Resulting Numbers: [37, 51]\nGenerated Node #0,3,3: 91:[37, 51] Operation: 81-30=51\nExploring Operation: 30+81=111, Resulting Numbers: [37, 111]\nGenerated Node #0,3,4: 91:[37, 111] Operation: 30+81=111\nMoving to Node #0,0,4\nCurrent State: 91:[73, 75], Operations: ['36+37=73', '30+45=75']\nExploring Operation: 73*75=5475, Resulting Numbers: [5475]\n5475,91 unequal: No Solution\nExploring Operation: 73+75=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 75-73=2, Resulting Numbers: [2]\n2,91 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 91:[66, 82], Operations: ['36+30=66', '45+37=82']\nExploring Operation: 66*82=5412, Resulting Numbers: [5412]\n5412,91 unequal: No Solution\nExploring Operation: 82-66=16, Resulting Numbers: [16]\n16,91 unequal: No Solution\nExploring Operation: 66+82=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 91:[67, 81], Operations: ['30+37=67', '36+45=81']\nExploring Operation: 67+81=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 81-67=14, Resulting Numbers: [14]\n14,91 unequal: No Solution\nExploring Operation: 67*81=5427, Resulting Numbers: [5427]\n5427,91 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 91:[81, 67], Operations: ['36+45=81', '30+37=67']\nExploring Operation: 81-67=14, Resulting Numbers: [14]\n14,91 unequal: No Solution\nExploring Operation: 81*67=5427, Resulting Numbers: [5427]\n5427,91 unequal: No Solution\nExploring Operation: 81+67=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 91:[75, 73], Operations: ['30+45=75', '36+37=73']\nExploring Operation: 75*73=5475, Resulting Numbers: [5475]\n5475,91 unequal: No Solution\nExploring Operation: 75-73=2, Resulting Numbers: [2]\n2,91 unequal: No Solution\nExploring Operation: 75+73=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 91:[45, 103], Operations: ['36+30=66', '37+66=103']\nExploring Operation: 45+103=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 45*103=4635, Resulting Numbers: [4635]\n4635,91 unequal: No Solution\nExploring Operation: 103-45=58, Resulting Numbers: [58]\n58,91 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 91:[45, 103], Operations: ['30+37=67', '36+67=103']\nExploring Operation: 103-45=58, Resulting Numbers: [58]\n58,91 unequal: No Solution\nExploring Operation: 45*103=4635, Resulting Numbers: [4635]\n4635,91 unequal: No Solution\nExploring Operation: 45+103=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 91:[45, 103], Operations: ['36+37=73', '30+73=103']\nExploring Operation: 45*103=4635, Resulting Numbers: [4635]\n4635,91 unequal: No Solution\nExploring Operation: 45+103=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 103-45=58, Resulting Numbers: [58]\n58,91 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 91:[37, 111], Operations: ['36+45=81', '30+81=111']\nExploring Operation: 37+111=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 37*111=4107, Resulting Numbers: [4107]\n4107,91 unequal: No Solution\nExploring Operation: 111-37=74, Resulting Numbers: [74]\n74,91 unequal: No Solution\nExploring Operation: 111/37=3, Resulting Numbers: [3]\n3,91 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 91:[37, 111], Operations: ['36+30=66', '45+66=111']\nExploring Operation: 111/37=3, Resulting Numbers: [3]\n3,91 unequal: No Solution\nExploring Operation: 37*111=4107, Resulting Numbers: [4107]\n4107,91 unequal: No Solution\nExploring Operation: 111-37=74, Resulting Numbers: [74]\n74,91 unequal: No Solution\nExploring Operation: 37+111=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nMoving to Node #0,3,4,0\nCurrent State: 91:[74], Operations: ['36+45=81', '30+81=111', '111-37=74']\nMoving to Node #0,2,1,0\nCurrent State: 91:[74], Operations: ['36+30=66', '45+66=111', '111-37=74']\nMoving to Node #0,2,3,0\nCurrent State: 91:[58], Operations: ['36+30=66', '37+66=103', '103-45=58']\nMoving to Node #0,4,1,0\nCurrent State: 91:[58], Operations: ['30+37=67', '36+67=103', '103-45=58']\nMoving to Node #0,0,0,0\nCurrent State: 91:[58], Operations: ['36+37=73', '30+73=103', '103-45=58']\nMoving to Node #0,1,3\nCurrent State: 91:[37, 111], Operations: ['30+45=75', '36+75=111']\nExploring Operation: 111-37=74, Resulting Numbers: [74]\n74,91 unequal: No Solution\nExploring Operation: 37+111=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 111/37=3, Resulting Numbers: [3]\n3,91 unequal: No Solution\nExploring Operation: 37*111=4107, Resulting Numbers: [4107]\n4107,91 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 91:[36, 112], Operations: ['30+37=67', '45+67=112']\nExploring Operation: 36+112=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 36*112=4032, Resulting Numbers: [4032]\n4032,91 unequal: No Solution\nExploring Operation: 112-36=76, Resulting Numbers: [76]\n76,91 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 91:[36, 112], Operations: ['30+45=75', '37+75=112']\nExploring Operation: 36*112=4032, Resulting Numbers: [4032]\n4032,91 unequal: No Solution\nExploring Operation: 36+112=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 112-36=76, Resulting Numbers: [76]\n76,91 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 91:[30, 118], Operations: ['36+37=73', '45+73=118']\nExploring Operation: 30*118=3540, Resulting Numbers: [3540]\n3540,91 unequal: No Solution\nExploring Operation: 30+118=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 118-30=88, Resulting Numbers: [88]\n88,91 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 91:[30, 118], Operations: ['36+45=81', '37+81=118']\nExploring Operation: 30+118=148, Resulting Numbers: [148]\n148,91 unequal: No Solution\nExploring Operation: 118-30=88, Resulting Numbers: [88]\n88,91 unequal: No Solution\nExploring Operation: 30*118=3540, Resulting Numbers: [3540]\n3540,91 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 91:[88], Operations: ['36+37=73', '45+73=118', '118-30=88']\nMoving to Node #0,3,1,0\nCurrent State: 91:[88], Operations: ['36+45=81', '37+81=118', '118-30=88']\nMoving to Node #0,4,3,0\nCurrent State: 91:[76], Operations: ['30+37=67', '45+67=112', '112-36=76']\nMoving to Node #0,1,2,0\nCurrent State: 91:[76], Operations: ['30+45=75', '37+75=112', '112-36=76']\nMoving to Node #0,1,3,0\nCurrent State: 91:[74], Operations: ['30+45=75', '36+75=111', '111-37=74']\nMoving to Node #0,3,3\nCurrent State: 91:[37, 51], Operations: ['36+45=81', '81-30=51']\nExploring Operation: 37*51=1887, Resulting Numbers: [1887]\n1887,91 unequal: No Solution\nExploring Operation: 51-37=14, Resulting Numbers: [14]\n14,91 unequal: No Solution\nExploring Operation: 37+51=88, Resulting Numbers: [88]\n88,91 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 91:[81, 7], Operations: ['36+45=81', '37-30=7']\nExploring Operation: 81+7=88, Resulting Numbers: [88]\n88,91 unequal: No Solution\nExploring Operation: 81*7=567, Resulting Numbers: [567]\n567,91 unequal: No Solution\nExploring Operation: 81-7=74, Resulting Numbers: [74]\n74,91 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 91:[73, 15], Operations: ['36+37=73', '45-30=15']\nExploring Operation: 73-15=58, Resulting Numbers: [58]\n58,91 unequal: No Solution\nExploring Operation: 73*15=1095, Resulting Numbers: [1095]\n1095,91 unequal: No Solution\nExploring Operation: 73+15=88, Resulting Numbers: [88]\n88,91 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 91:[45, 43], Operations: ['36+37=73', '73-30=43']\nExploring Operation: 45*43=1935, Resulting Numbers: [1935]\n1935,91 unequal: No Solution\nExploring Operation: 45+43=88, Resulting Numbers: [88]\n88,91 unequal: No Solution\nExploring Operation: 45-43=2, Resulting Numbers: [2]\n2,91 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 91:[45, 31], Operations: ['30+37=67', '67-36=31']\nExploring Operation: 45+31=76, Resulting Numbers: [76]\n76,91 unequal: No Solution\nExploring Operation: 45*31=1395, Resulting Numbers: [1395]\n1395,91 unequal: No Solution\nExploring Operation: 45-31=14, Resulting Numbers: [14]\n14,91 unequal: No Solution\nMoving to Node #0,3,3,0\nCurrent State: 91:[88], Operations: ['36+45=81', '81-30=51', '37+51=88']\nMoving to Node #0,0,3,0\nCurrent State: 91:[88], Operations: ['36+37=73', '45-30=15', '73+15=88']\nMoving to Node #0,0,2,0\nCurrent State: 91:[88], Operations: ['36+37=73', '73-30=43', '45+43=88']\nMoving to Node #0,3,0,0\nCurrent State: 91:[88], Operations: ['36+45=81', '37-30=7', '81+7=88']\nMoving to Node #0,4,0,0\nCurrent State: 91:[76], Operations: ['30+37=67', '67-36=31', '45+31=76']\nMoving to Node #0,3,0,0\nCurrent State: 91:[74], Operations: ['36+45=81', '37-30=7', '81-7=74']\nMoving to Node #0,0,3,0\nCurrent State: 91:[58], Operations: ['36+37=73', '45-30=15', '73-15=58']\nMoving to Node #0,1,4\nCurrent State: 91:[37, 39], Operations: ['30+45=75', '75-36=39']\nExploring Operation: 37+39=76, Resulting Numbers: [76]\n76,91 unequal: No Solution\nExploring Operation: 39-37=2, Resulting Numbers: [2]\n2,91 unequal: No Solution\nExploring Operation: 37*39=1443, Resulting Numbers: [1443]\n1443,91 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 91:[67, 9], Operations: ['30+37=67', '45-36=9']\nExploring Operation: 67+9=76, Resulting Numbers: [76]\n76,91 unequal: No Solution\nExploring Operation: 67-9=58, Resulting Numbers: [58]\n58,91 unequal: No Solution\nExploring Operation: 67*9=603, Resulting Numbers: [603]\n603,91 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 91:[75, 1], Operations: ['30+45=75', '37-36=1']\nExploring Operation: 75/1=75, Resulting Numbers: [75]\n75,91 unequal: No Solution\nExploring Operation: 75+1=76, Resulting Numbers: [76]\n76,91 unequal: No Solution\nExploring Operation: 75*1=75, Resulting Numbers: [75]\n75,91 unequal: No Solution\nExploring Operation: 75-1=74, Resulting Numbers: [74]\n74,91 unequal: No Solution\nMoving to Node #0,1,4,0\nCurrent State: 91:[76], Operations: ['30+45=75', '75-36=39', '37+39=76']\nMoving to Node #0,4,2,0\nCurrent State: 91:[76], Operations: ['30+37=67', '45-36=9', '67+9=76']\nMoving to Node #0,1,0,0\nCurrent State: 91:[76], Operations: ['30+45=75', '37-36=1', '75+1=76']\nMoving to Node #0,1,0,0\nCurrent State: 91:[75], Operations: ['30+45=75', '37-36=1', '75/1=75']\nMoving to Node #0,1,0,0\nCurrent State: 91:[75], Operations: ['30+45=75', '37-36=1', '75*1=75']\nMoving to Node #0,1,0,0\nCurrent State: 91:[74], Operations: ['30+45=75', '37-36=1', '75-1=74']\nMoving to Node #0,4,2,0\nCurrent State: 91:[58], Operations: ['30+37=67', '45-36=9', '67-9=58']\nMoving to Node #0,2,4\nCurrent State: 91:[45, 29], Operations: ['36+30=66', '66-37=29']\nExploring Operation: 45+29=74, Resulting Numbers: [74]\n74,91 unequal: No Solution\nExploring Operation: 45-29=16, Resulting Numbers: [16]\n16,91 unequal: No Solution\nExploring Operation: 45*29=1305, Resulting Numbers: [1305]\n1305,91 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 91:[66, 8], Operations: ['36+30=66', '45-37=8']\nExploring Operation: 66*8=528, Resulting Numbers: [528]\n528,91 unequal: No Solution\nExploring Operation: 66+8=74, Resulting Numbers: [74]\n74,91 unequal: No Solution\nExploring Operation: 66-8=58, Resulting Numbers: [58]\n58,91 unequal: No Solution\nMoving to Node #0,3,2,0\nCurrent State: 91:[148], Operations: ['36+45=81', '30+37=67', '81+67=148']\nMoving to Node #0,2,4,0\nCurrent State: 91:[74], Operations: ['36+30=66', '66-37=29', '45+29=74']\nMoving to Node #0,2,2,0\nCurrent State: 91:[74], Operations: ['36+30=66', '45-37=8', '66+8=74']\nMoving to Node #0,2,2,0\nCurrent State: 91:[58], Operations: ['36+30=66', '45-37=8', '66-8=58']\nMoving to Node #0,3,1,0\nCurrent State: 91:[148], Operations: ['36+45=81', '37+81=118', '30+118=148']\nMoving to Node #0,4,4,0\nCurrent State: 91:[148], Operations: ['30+37=67', '36+45=81', '67+81=148']\nMoving to Node #0,2,0,0\nCurrent State: 91:[148], Operations: ['36+30=66', '45+37=82', '66+82=148']\nMoving to Node #0,1,2,0\nCurrent State: 91:[148], Operations: ['30+45=75', '37+75=112', '36+112=148']\nMoving to Node #0,2,1,0\nCurrent State: 91:[148], Operations: ['36+30=66', '45+66=111', '37+111=148']\nMoving to Node #0,4,3,0\nCurrent State: 91:[148], Operations: ['30+37=67', '45+67=112', '36+112=148']\nMoving to Node #0,0,4,0\nCurrent State: 91:[148], Operations: ['36+37=73', '30+45=75', '73+75=148']\nMoving to Node #0,0,1,0\nCurrent State: 91:[148], Operations: ['36+37=73', '45+73=118', '30+118=148']\nMoving to Node #0,1,3,0\nCurrent State: 91:[148], Operations: ['30+45=75', '36+75=111', '37+111=148']\nMoving to Node #0,0,0,0\nCurrent State: 91:[148], Operations: ['36+37=73', '30+73=103', '45+103=148']\nMoving to Node #0,4,1,0\nCurrent State: 91:[148], Operations: ['30+37=67', '36+67=103', '45+103=148']\nMoving to Node #0,1,1,0\nCurrent State: 91:[148], Operations: ['30+45=75', '36+37=73', '75+73=148']\nMoving to Node #0,3,4,0\nCurrent State: 91:[148], Operations: ['36+45=81', '30+81=111', '37+111=148']\nMoving to Node #0,2,3,0\nCurrent State: 91:[148], Operations: ['36+30=66', '37+66=103', '45+103=148']\nMoving to Node #0,2,4,0\nCurrent State: 91:[16], Operations: ['36+30=66', '66-37=29', '45-29=16']\nMoving to Node #0,2,0,0\nCurrent State: 91:[16], Operations: ['36+30=66', '45+37=82', '82-66=16']\nMoving to Node #0,4,0,0\nCurrent State: 91:[14], Operations: ['30+37=67', '67-36=31', '45-31=14']\nMoving to Node #0,4,4,0\nCurrent State: 91:[14], Operations: ['30+37=67', '36+45=81', '81-67=14']\nMoving to Node #0,3,3,0\nCurrent State: 91:[14], Operations: ['36+45=81', '81-30=51', '51-37=14']\nMoving to Node #0,3,2,0\nCurrent State: 91:[14], Operations: ['36+45=81', '30+37=67', '81-67=14']\nMoving to Node #0,3,4,0\nCurrent State: 91:[3], Operations: ['36+45=81', '30+81=111', '111/37=3']\nMoving to Node #0,2,1,0\nCurrent State: 91:[3], Operations: ['36+30=66', '45+66=111', '111/37=3']\nMoving to Node #0,1,3,0\nCurrent State: 91:[3], Operations: ['30+45=75', '36+75=111', '111/37=3']\nMoving to Node #0,0,4,0\nCurrent State: 91:[2], Operations: ['36+37=73', '30+45=75', '75-73=2']\nMoving to Node #0,1,4,0\nCurrent State: 91:[2], Operations: ['30+45=75', '75-36=39', '39-37=2']\nMoving to Node #0,0,2,0\nCurrent State: 91:[2], Operations: ['36+37=73', '73-30=43', '45-43=2']\nMoving to Node #0,1,1,0\nCurrent State: 91:[2], Operations: ['30+45=75', '36+37=73', '75-73=2']\nMoving to Node #0,2,2,0\nCurrent State: 91:[528], Operations: ['36+30=66', '45-37=8', '66*8=528']\nMoving to Node #0,3,0,0\nCurrent State: 91:[567], Operations: ['36+45=81', '37-30=7', '81*7=567']\nMoving to Node #0,4,2,0\nCurrent State: 91:[603], Operations: ['30+37=67', '45-36=9', '67*9=603']\nMoving to Node #0,0,3,0\nCurrent State: 91:[1095], Operations: ['36+37=73', '45-30=15', '73*15=1095']\nMoving to Node #0,2,4,0\nCurrent State: 91:[1305], Operations: ['36+30=66', '66-37=29', '45*29=1305']\nMoving to Node #0,4,0,0\nCurrent State: 91:[1395], Operations: ['30+37=67', '67-36=31', '45*31=1395']\nMoving to Node #0,1,4,0\nCurrent State: 91:[1443], Operations: ['30+45=75', '75-36=39', '37*39=1443']\nMoving to Node #0,3,3,0\nCurrent State: 91:[1887], Operations: ['36+45=81', '81-30=51', '37*51=1887']\nMoving to Node #0,0,2,0\nCurrent State: 91:[1935], Operations: ['36+37=73', '73-30=43', '45*43=1935']\nMoving to Node #0,3,1,0\nCurrent State: 91:[3540], Operations: ['36+45=81', '37+81=118', '30*118=3540']\nMoving to Node #0,0,1,0\nCurrent State: 91:[3540], Operations: ['36+37=73', '45+73=118', '30*118=3540']\nMoving to Node #0,4,3,0\nCurrent State: 91:[4032], Operations: ['30+37=67', '45+67=112', '36*112=4032']\nMoving to Node #0,1,2,0\nCurrent State: 91:[4032], Operations: ['30+45=75', '37+75=112', '36*112=4032']\nMoving to Node #0,3,4,0\nCurrent State: 91:[4107], Operations: ['36+45=81', '30+81=111', '37*111=4107']\nMoving to Node #0,1,3,0\nCurrent State: 91:[4107], Operations: ['30+45=75', '36+75=111', '37*111=4107']\nMoving to Node #0,2,1,0\nCurrent State: 91:[4107], Operations: ['36+30=66', '45+66=111', '37*111=4107']\nMoving to Node #0,2,3,0\nCurrent State: 91:[4635], Operations: ['36+30=66', '37+66=103', '45*103=4635']\nMoving to Node #0,4,1,0\nCurrent State: 91:[4635], Operations: ['30+37=67', '36+67=103', '45*103=4635']\nMoving to Node #0,0,0,0\nCurrent State: 91:[4635], Operations: ['36+37=73', '30+73=103', '45*103=4635']\nMoving to Node #0,2,0,0\nCurrent State: 91:[5412], Operations: ['36+30=66', '45+37=82', '66*82=5412']\nMoving to Node #0,3,2,0\nCurrent State: 91:[5427], Operations: ['36+45=81', '30+37=67', '81*67=5427']\nMoving to Node #0,4,4,0\nCurrent State: 91:[5427], Operations: ['30+37=67', '36+45=81', '67*81=5427']\nMoving to Node #0,0,4,0\nCurrent State: 91:[5475], Operations: ['36+37=73', '30+45=75', '73*75=5475']\nMoving to Node #0,1,1,0\nCurrent State: 91:[5475], Operations: ['30+45=75', '36+37=73', '75*73=5475']\nNo solution found.", "role": "assistant" } ]
[ 61, 16, 58, 21 ]
27
[ "61-58=3", "16*3=48", "48-21=27" ]
Current State: 27:[61, 16, 58, 21], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [16, 21, 3] Generated Node #0,0: 27:[16, 21, 3] Operation: 61-58=3 Exploring Operation: 61-16=45, Resulting Numbers: [58, 21, 45] Generated Node #0,1: 27:[58, 21, 45] Operation: 61-16=45 Moving to Node #0,0 Current State: 27:[16, 21, 3], Operations: ['61-58=3'] Exploring Operation: 21+3=24, Resulting Numbers: [16, 24] Generated Node #0,0,0: 27:[16, 24] Operation: 21+3=24 Exploring Operation: 16+3=19, Resulting Numbers: [21, 19] Generated Node #0,0,1: 27:[21, 19] Operation: 16+3=19 Moving to Node #0,1 Current State: 27:[58, 21, 45], Operations: ['61-16=45'] Exploring Operation: 58-45=13, Resulting Numbers: [21, 13] Generated Node #0,1,0: 27:[21, 13] Operation: 58-45=13 Exploring Operation: 58-21=37, Resulting Numbers: [45, 37] Generated Node #0,1,1: 27:[45, 37] Operation: 58-21=37 Moving to Node #0,0,0 Current State: 27:[16, 24], Operations: ['61-58=3', '21+3=24'] Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,27 unequal: No Solution Moving to Node #0,0,1 Current State: 27:[21, 19], Operations: ['61-58=3', '16+3=19'] Exploring Operation: 21+19=40, Resulting Numbers: [40] 40,27 unequal: No Solution Exploring Operation: 21-19=2, Resulting Numbers: [2] 2,27 unequal: No Solution Moving to Node #0,1,0 Current State: 27:[21, 13], Operations: ['61-16=45', '58-45=13'] Exploring Operation: 21-13=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 21+13=34, Resulting Numbers: [34] 34,27 unequal: No Solution Moving to Node #0,0,0,0 Current State: 27:[40], Operations: ['61-58=3', '21+3=24', '16+24=40'] Moving to Node #0,1,0,0 Current State: 27:[34], Operations: ['61-16=45', '58-45=13', '21+13=34'] Moving to Node #0,0,1,0 Current State: 27:[40], Operations: ['61-58=3', '16+3=19', '21+19=40'] Moving to Node #0,1,1 Current State: 27:[45, 37], Operations: ['61-16=45', '58-21=37'] Exploring Operation: 45-37=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 45+37=82, Resulting Numbers: [82] 82,27 unequal: No Solution Moving to Node #0,1,0,0 Current State: 27:[8], Operations: ['61-16=45', '58-45=13', '21-13=8'] Moving to Node #0,0,0,0 Current State: 27:[8], Operations: ['61-58=3', '21+3=24', '24-16=8'] Moving to Node #0,1,1,0 Current State: 27:[8], Operations: ['61-16=45', '58-21=37', '45-37=8'] Moving to Node #0,0,1,0 Current State: 27:[2], Operations: ['61-58=3', '16+3=19', '21-19=2'] Moving to Node #0,1,1,0 Current State: 27:[82], Operations: ['61-16=45', '58-21=37', '45+37=82'] No solution found.
0
bfs_2
Current State: 27:[61, 16, 58, 21], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [16, 21, 3] Generated Node #2: [16, 21, 3] from Operation: 61-58=3 Current State: 27:[16, 21, 3], Operations: ['61-58=3'] Exploring Operation: 16*3=48, Resulting Numbers: [21, 48] Generated Node #3: [21, 48] from Operation: 16*3=48 Current State: 27:[21, 48], Operations: ['61-58=3', '16*3=48'] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
sum_heuristic
[ { "content": "Make 27 with the numbers [61, 16, 58, 21] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 27:[61, 16, 58, 21], Operations: []\nExploring Operation: 61-58=3, Resulting Numbers: [16, 21, 3]\nGenerated Node #0,0: 27:[16, 21, 3] Operation: 61-58=3\nExploring Operation: 61-16=45, Resulting Numbers: [58, 21, 45]\nGenerated Node #0,1: 27:[58, 21, 45] Operation: 61-16=45\nMoving to Node #0,0\nCurrent State: 27:[16, 21, 3], Operations: ['61-58=3']\nExploring Operation: 21+3=24, Resulting Numbers: [16, 24]\nGenerated Node #0,0,0: 27:[16, 24] Operation: 21+3=24\nExploring Operation: 16+3=19, Resulting Numbers: [21, 19]\nGenerated Node #0,0,1: 27:[21, 19] Operation: 16+3=19\nMoving to Node #0,1\nCurrent State: 27:[58, 21, 45], Operations: ['61-16=45']\nExploring Operation: 58-45=13, Resulting Numbers: [21, 13]\nGenerated Node #0,1,0: 27:[21, 13] Operation: 58-45=13\nExploring Operation: 58-21=37, Resulting Numbers: [45, 37]\nGenerated Node #0,1,1: 27:[45, 37] Operation: 58-21=37\nMoving to Node #0,0,0\nCurrent State: 27:[16, 24], Operations: ['61-58=3', '21+3=24']\nExploring Operation: 24-16=8, Resulting Numbers: [8]\n8,27 unequal: No Solution\nExploring Operation: 16+24=40, Resulting Numbers: [40]\n40,27 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 27:[21, 19], Operations: ['61-58=3', '16+3=19']\nExploring Operation: 21+19=40, Resulting Numbers: [40]\n40,27 unequal: No Solution\nExploring Operation: 21-19=2, Resulting Numbers: [2]\n2,27 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 27:[21, 13], Operations: ['61-16=45', '58-45=13']\nExploring Operation: 21-13=8, Resulting Numbers: [8]\n8,27 unequal: No Solution\nExploring Operation: 21+13=34, Resulting Numbers: [34]\n34,27 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 27:[40], Operations: ['61-58=3', '21+3=24', '16+24=40']\nMoving to Node #0,1,0,0\nCurrent State: 27:[34], Operations: ['61-16=45', '58-45=13', '21+13=34']\nMoving to Node #0,0,1,0\nCurrent State: 27:[40], Operations: ['61-58=3', '16+3=19', '21+19=40']\nMoving to Node #0,1,1\nCurrent State: 27:[45, 37], Operations: ['61-16=45', '58-21=37']\nExploring Operation: 45-37=8, Resulting Numbers: [8]\n8,27 unequal: No Solution\nExploring Operation: 45+37=82, Resulting Numbers: [82]\n82,27 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 27:[8], Operations: ['61-16=45', '58-45=13', '21-13=8']\nMoving to Node #0,0,0,0\nCurrent State: 27:[8], Operations: ['61-58=3', '21+3=24', '24-16=8']\nMoving to Node #0,1,1,0\nCurrent State: 27:[8], Operations: ['61-16=45', '58-21=37', '45-37=8']\nMoving to Node #0,0,1,0\nCurrent State: 27:[2], Operations: ['61-58=3', '16+3=19', '21-19=2']\nMoving to Node #0,1,1,0\nCurrent State: 27:[82], Operations: ['61-16=45', '58-21=37', '45+37=82']\nNo solution found.", "role": "assistant" } ]
[ 68, 34, 30, 23 ]
92
[ "68-34=34", "34-30=4", "23*4=92" ]
Current State: 92:[68, 34, 30, 23], Operations: [] Exploring Operation: 68+23=91, Resulting Numbers: [34, 30, 91] Generated Node #0,0: 92:[34, 30, 91] Operation: 68+23=91 Moving to Node #0,0 Current State: 92:[34, 30, 91], Operations: ['68+23=91'] Exploring Operation: 34+30=64, Resulting Numbers: [91, 64] Generated Node #0,0,0: 92:[91, 64] Operation: 34+30=64 Moving to Node #0,0,0 Current State: 92:[91, 64], Operations: ['68+23=91', '34+30=64'] Exploring Operation: 91+64=155, Resulting Numbers: [155] 155,92 unequal: No Solution Moving to Node #0,0,0 Current State: 92:[91, 64], Operations: ['68+23=91', '34+30=64'] Exploring Operation: 91-64=27, Resulting Numbers: [27] 27,92 unequal: No Solution Moving to Node #0,0 Current State: 92:[34, 30, 91], Operations: ['68+23=91'] Exploring Operation: 30+91=121, Resulting Numbers: [34, 121] Generated Node #0,0,1: 92:[34, 121] Operation: 30+91=121 Moving to Node #0,0,1 Current State: 92:[34, 121], Operations: ['68+23=91', '30+91=121'] Exploring Operation: 121-34=87, Resulting Numbers: [87] 87,92 unequal: No Solution Moving to Node #0,0,1 Current State: 92:[34, 121], Operations: ['68+23=91', '30+91=121'] Exploring Operation: 34+121=155, Resulting Numbers: [155] 155,92 unequal: No Solution Moving to Node #0,0 Current State: 92:[34, 30, 91], Operations: ['68+23=91'] Exploring Operation: 34-30=4, Resulting Numbers: [91, 4] Generated Node #0,0,2: 92:[91, 4] Operation: 34-30=4 Moving to Node #0,0,2 Current State: 92:[91, 4], Operations: ['68+23=91', '34-30=4'] Exploring Operation: 91+4=95, Resulting Numbers: [95] 95,92 unequal: No Solution Moving to Node #0,0,2 Current State: 92:[91, 4], Operations: ['68+23=91', '34-30=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,92 unequal: No Solution Moving to Node #0,0 Current State: 92:[34, 30, 91], Operations: ['68+23=91'] Exploring Operation: 91-30=61, Resulting Numbers: [34, 61] Generated Node #0,0,3: 92:[34, 61] Operation: 91-30=61 Moving to Node #0,0,3 Current State: 92:[34, 61], Operations: ['68+23=91', '91-30=61'] Exploring Operation: 34+61=95, Resulting Numbers: [95] 95,92 unequal: No Solution Moving to Node #0,0,3 Current State: 92:[34, 61], Operations: ['68+23=91', '91-30=61'] Exploring Operation: 61-34=27, Resulting Numbers: [27] 27,92 unequal: No Solution Moving to Node #0,0 Current State: 92:[34, 30, 91], Operations: ['68+23=91'] Exploring Operation: 34+91=125, Resulting Numbers: [30, 125] Generated Node #0,0,4: 92:[30, 125] Operation: 34+91=125 Moving to Node #0,0,4 Current State: 92:[30, 125], Operations: ['68+23=91', '34+91=125'] Exploring Operation: 125-30=95, Resulting Numbers: [95] 95,92 unequal: No Solution Moving to Node #0,0,4 Current State: 92:[30, 125], Operations: ['68+23=91', '34+91=125'] Exploring Operation: 30+125=155, Resulting Numbers: [155] 155,92 unequal: No Solution Moving to Node #0,0 Current State: 92:[34, 30, 91], Operations: ['68+23=91'] Exploring Operation: 91-34=57, Resulting Numbers: [30, 57] Generated Node #0,0,5: 92:[30, 57] Operation: 91-34=57 Moving to Node #0,0,5 Current State: 92:[30, 57], Operations: ['68+23=91', '91-34=57'] Exploring Operation: 30+57=87, Resulting Numbers: [87] 87,92 unequal: No Solution Moving to Node #0,0,5 Current State: 92:[30, 57], Operations: ['68+23=91', '91-34=57'] Exploring Operation: 57-30=27, Resulting Numbers: [27] 27,92 unequal: No Solution Moving to Node #0 Current State: 92:[68, 34, 30, 23], Operations: [] Exploring Operation: 34+30=64, Resulting Numbers: [68, 23, 64] Generated Node #0,1: 92:[68, 23, 64] Operation: 34+30=64 Moving to Node #0,1 Current State: 92:[68, 23, 64], Operations: ['34+30=64'] Exploring Operation: 68+23=91, Resulting Numbers: [64, 91] Generated Node #0,1,0: 92:[64, 91] Operation: 68+23=91 Moving to Node #0,1,0 Current State: 92:[64, 91], Operations: ['34+30=64', '68+23=91'] Exploring Operation: 64+91=155, Resulting Numbers: [155] 155,92 unequal: No Solution Moving to Node #0,1,0 Current State: 92:[64, 91], Operations: ['34+30=64', '68+23=91'] Exploring Operation: 91-64=27, Resulting Numbers: [27] 27,92 unequal: No Solution Moving to Node #0,1 Current State: 92:[68, 23, 64], Operations: ['34+30=64'] Exploring Operation: 23+64=87, Resulting Numbers: [68, 87] Generated Node #0,1,1: 92:[68, 87] Operation: 23+64=87 Moving to Node #0,1,1 Current State: 92:[68, 87], Operations: ['34+30=64', '23+64=87'] Exploring Operation: 68+87=155, Resulting Numbers: [155] 155,92 unequal: No Solution Moving to Node #0,1,1 Current State: 92:[68, 87], Operations: ['34+30=64', '23+64=87'] Exploring Operation: 87-68=19, Resulting Numbers: [19] 19,92 unequal: No Solution Moving to Node #0,1 Current State: 92:[68, 23, 64], Operations: ['34+30=64'] Exploring Operation: 68-23=45, Resulting Numbers: [64, 45] Generated Node #0,1,2: 92:[64, 45] Operation: 68-23=45 Moving to Node #0,1,2 Current State: 92:[64, 45], Operations: ['34+30=64', '68-23=45'] Exploring Operation: 64+45=109, Resulting Numbers: [109] 109,92 unequal: No Solution Moving to Node #0,1,2 Current State: 92:[64, 45], Operations: ['34+30=64', '68-23=45'] Exploring Operation: 64-45=19, Resulting Numbers: [19] 19,92 unequal: No Solution Moving to Node #0,1 Current State: 92:[68, 23, 64], Operations: ['34+30=64'] Exploring Operation: 64-23=41, Resulting Numbers: [68, 41] Generated Node #0,1,3: 92:[68, 41] Operation: 64-23=41 Moving to Node #0,1,3 Current State: 92:[68, 41], Operations: ['34+30=64', '64-23=41'] Exploring Operation: 68+41=109, Resulting Numbers: [109] 109,92 unequal: No Solution Moving to Node #0,1,3 Current State: 92:[68, 41], Operations: ['34+30=64', '64-23=41'] Exploring Operation: 68-41=27, Resulting Numbers: [27] 27,92 unequal: No Solution Moving to Node #0,1 Current State: 92:[68, 23, 64], Operations: ['34+30=64'] Exploring Operation: 68+64=132, Resulting Numbers: [23, 132] Generated Node #0,1,4: 92:[23, 132] Operation: 68+64=132 Moving to Node #0,1,4 Current State: 92:[23, 132], Operations: ['34+30=64', '68+64=132'] Exploring Operation: 132-23=109, Resulting Numbers: [109] 109,92 unequal: No Solution Moving to Node #0,1,4 Current State: 92:[23, 132], Operations: ['34+30=64', '68+64=132'] Exploring Operation: 23+132=155, Resulting Numbers: [155] 155,92 unequal: No Solution Moving to Node #0,1 Current State: 92:[68, 23, 64], Operations: ['34+30=64'] Exploring Operation: 68-64=4, Resulting Numbers: [23, 4] Generated Node #0,1,5: 92:[23, 4] Operation: 68-64=4 Moving to Node #0,1,5 Current State: 92:[23, 4], Operations: ['34+30=64', '68-64=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
0.967014
dfs
Current State: 92:[68, 34, 30, 23], Operations: [] Exploring Operation: 68-34=34, Resulting Numbers: [30, 23, 34] Generated Node #2: [30, 23, 34] from Operation: 68-34=34 Current State: 92:[30, 23, 34], Operations: ['68-34=34'] Exploring Operation: 34-30=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 34-30=4 Current State: 92:[23, 4], Operations: ['68-34=34', '34-30=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
sum_heuristic
[ { "content": "Make 92 with the numbers [68, 34, 30, 23] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 92:[68, 34, 30, 23], Operations: []\nExploring Operation: 68+23=91, Resulting Numbers: [34, 30, 91]\nGenerated Node #0,0: 92:[34, 30, 91] Operation: 68+23=91\nMoving to Node #0,0\nCurrent State: 92:[34, 30, 91], Operations: ['68+23=91']\nExploring Operation: 34+30=64, Resulting Numbers: [91, 64]\nGenerated Node #0,0,0: 92:[91, 64] Operation: 34+30=64\nMoving to Node #0,0,0\nCurrent State: 92:[91, 64], Operations: ['68+23=91', '34+30=64']\nExploring Operation: 91+64=155, Resulting Numbers: [155]\n155,92 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 92:[91, 64], Operations: ['68+23=91', '34+30=64']\nExploring Operation: 91-64=27, Resulting Numbers: [27]\n27,92 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 92:[34, 30, 91], Operations: ['68+23=91']\nExploring Operation: 30+91=121, Resulting Numbers: [34, 121]\nGenerated Node #0,0,1: 92:[34, 121] Operation: 30+91=121\nMoving to Node #0,0,1\nCurrent State: 92:[34, 121], Operations: ['68+23=91', '30+91=121']\nExploring Operation: 121-34=87, Resulting Numbers: [87]\n87,92 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 92:[34, 121], Operations: ['68+23=91', '30+91=121']\nExploring Operation: 34+121=155, Resulting Numbers: [155]\n155,92 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 92:[34, 30, 91], Operations: ['68+23=91']\nExploring Operation: 34-30=4, Resulting Numbers: [91, 4]\nGenerated Node #0,0,2: 92:[91, 4] Operation: 34-30=4\nMoving to Node #0,0,2\nCurrent State: 92:[91, 4], Operations: ['68+23=91', '34-30=4']\nExploring Operation: 91+4=95, Resulting Numbers: [95]\n95,92 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 92:[91, 4], Operations: ['68+23=91', '34-30=4']\nExploring Operation: 91-4=87, Resulting Numbers: [87]\n87,92 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 92:[34, 30, 91], Operations: ['68+23=91']\nExploring Operation: 91-30=61, Resulting Numbers: [34, 61]\nGenerated Node #0,0,3: 92:[34, 61] Operation: 91-30=61\nMoving to Node #0,0,3\nCurrent State: 92:[34, 61], Operations: ['68+23=91', '91-30=61']\nExploring Operation: 34+61=95, Resulting Numbers: [95]\n95,92 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 92:[34, 61], Operations: ['68+23=91', '91-30=61']\nExploring Operation: 61-34=27, Resulting Numbers: [27]\n27,92 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 92:[34, 30, 91], Operations: ['68+23=91']\nExploring Operation: 34+91=125, Resulting Numbers: [30, 125]\nGenerated Node #0,0,4: 92:[30, 125] Operation: 34+91=125\nMoving to Node #0,0,4\nCurrent State: 92:[30, 125], Operations: ['68+23=91', '34+91=125']\nExploring Operation: 125-30=95, Resulting Numbers: [95]\n95,92 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 92:[30, 125], Operations: ['68+23=91', '34+91=125']\nExploring Operation: 30+125=155, Resulting Numbers: [155]\n155,92 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 92:[34, 30, 91], Operations: ['68+23=91']\nExploring Operation: 91-34=57, Resulting Numbers: [30, 57]\nGenerated Node #0,0,5: 92:[30, 57] Operation: 91-34=57\nMoving to Node #0,0,5\nCurrent State: 92:[30, 57], Operations: ['68+23=91', '91-34=57']\nExploring Operation: 30+57=87, Resulting Numbers: [87]\n87,92 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 92:[30, 57], Operations: ['68+23=91', '91-34=57']\nExploring Operation: 57-30=27, Resulting Numbers: [27]\n27,92 unequal: No Solution\nMoving to Node #0\nCurrent State: 92:[68, 34, 30, 23], Operations: []\nExploring Operation: 34+30=64, Resulting Numbers: [68, 23, 64]\nGenerated Node #0,1: 92:[68, 23, 64] Operation: 34+30=64\nMoving to Node #0,1\nCurrent State: 92:[68, 23, 64], Operations: ['34+30=64']\nExploring Operation: 68+23=91, Resulting Numbers: [64, 91]\nGenerated Node #0,1,0: 92:[64, 91] Operation: 68+23=91\nMoving to Node #0,1,0\nCurrent State: 92:[64, 91], Operations: ['34+30=64', '68+23=91']\nExploring Operation: 64+91=155, Resulting Numbers: [155]\n155,92 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 92:[64, 91], Operations: ['34+30=64', '68+23=91']\nExploring Operation: 91-64=27, Resulting Numbers: [27]\n27,92 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 92:[68, 23, 64], Operations: ['34+30=64']\nExploring Operation: 23+64=87, Resulting Numbers: [68, 87]\nGenerated Node #0,1,1: 92:[68, 87] Operation: 23+64=87\nMoving to Node #0,1,1\nCurrent State: 92:[68, 87], Operations: ['34+30=64', '23+64=87']\nExploring Operation: 68+87=155, Resulting Numbers: [155]\n155,92 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 92:[68, 87], Operations: ['34+30=64', '23+64=87']\nExploring Operation: 87-68=19, Resulting Numbers: [19]\n19,92 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 92:[68, 23, 64], Operations: ['34+30=64']\nExploring Operation: 68-23=45, Resulting Numbers: [64, 45]\nGenerated Node #0,1,2: 92:[64, 45] Operation: 68-23=45\nMoving to Node #0,1,2\nCurrent State: 92:[64, 45], Operations: ['34+30=64', '68-23=45']\nExploring Operation: 64+45=109, Resulting Numbers: [109]\n109,92 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 92:[64, 45], Operations: ['34+30=64', '68-23=45']\nExploring Operation: 64-45=19, Resulting Numbers: [19]\n19,92 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 92:[68, 23, 64], Operations: ['34+30=64']\nExploring Operation: 64-23=41, Resulting Numbers: [68, 41]\nGenerated Node #0,1,3: 92:[68, 41] Operation: 64-23=41\nMoving to Node #0,1,3\nCurrent State: 92:[68, 41], Operations: ['34+30=64', '64-23=41']\nExploring Operation: 68+41=109, Resulting Numbers: [109]\n109,92 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 92:[68, 41], Operations: ['34+30=64', '64-23=41']\nExploring Operation: 68-41=27, Resulting Numbers: [27]\n27,92 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 92:[68, 23, 64], Operations: ['34+30=64']\nExploring Operation: 68+64=132, Resulting Numbers: [23, 132]\nGenerated Node #0,1,4: 92:[23, 132] Operation: 68+64=132\nMoving to Node #0,1,4\nCurrent State: 92:[23, 132], Operations: ['34+30=64', '68+64=132']\nExploring Operation: 132-23=109, Resulting Numbers: [109]\n109,92 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 92:[23, 132], Operations: ['34+30=64', '68+64=132']\nExploring Operation: 23+132=155, Resulting Numbers: [155]\n155,92 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 92:[68, 23, 64], Operations: ['34+30=64']\nExploring Operation: 68-64=4, Resulting Numbers: [23, 4]\nGenerated Node #0,1,5: 92:[23, 4] Operation: 68-64=4\nMoving to Node #0,1,5\nCurrent State: 92:[23, 4], Operations: ['34+30=64', '68-64=4']\nExploring Operation: 23*4=92, Resulting Numbers: [92]\n92,92 equal: Goal Reached\n", "role": "assistant" } ]
[ 72, 49, 14, 46 ]
61
[ "72+49=121", "14+46=60", "121-60=61" ]
Current State: 61:[72, 49, 14, 46], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [72, 49, 60] Generated Node #0,0: 61:[72, 49, 60] Operation: 14+46=60 Moving to Node #0,0 Current State: 61:[72, 49, 60], Operations: ['14+46=60'] Exploring Operation: 72-49=23, Resulting Numbers: [60, 23] Generated Node #0,0,0: 61:[60, 23] Operation: 72-49=23 Moving to Node #0,0,0 Current State: 61:[60, 23], Operations: ['14+46=60', '72-49=23'] Exploring Operation: 60+23=83, Resulting Numbers: [83] 83,61 unequal: No Solution Moving to Node #0,0,0 Current State: 61:[60, 23], Operations: ['14+46=60', '72-49=23'] Exploring Operation: 60-23=37, Resulting Numbers: [37] 37,61 unequal: No Solution Moving to Node #0,0 Current State: 61:[72, 49, 60], Operations: ['14+46=60'] Exploring Operation: 49+60=109, Resulting Numbers: [72, 109] Generated Node #0,0,1: 61:[72, 109] Operation: 49+60=109 Moving to Node #0,0,1 Current State: 61:[72, 109], Operations: ['14+46=60', '49+60=109'] Exploring Operation: 109-72=37, Resulting Numbers: [37] 37,61 unequal: No Solution Moving to Node #0,0 Current State: 61:[72, 49, 60], Operations: ['14+46=60'] Exploring Operation: 72+49=121, Resulting Numbers: [60, 121] Generated Node #0,0,2: 61:[60, 121] Operation: 72+49=121 Moving to Node #0,0,2 Current State: 61:[60, 121], Operations: ['14+46=60', '72+49=121'] Exploring Operation: 121-60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
0.992188
dfs
Current State: 61:[72, 49, 14, 46], Operations: [] Exploring Operation: 72+49=121, Resulting Numbers: [14, 46, 121] Generated Node #2: [14, 46, 121] from Operation: 72+49=121 Current State: 61:[14, 46, 121], Operations: ['72+49=121'] Exploring Operation: 14+46=60, Resulting Numbers: [121, 60] Generated Node #3: [121, 60] from Operation: 14+46=60 Current State: 61:[121, 60], Operations: ['72+49=121', '14+46=60'] Exploring Operation: 121-60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
mult_heuristic
[ { "content": "Make 61 with the numbers [72, 49, 14, 46] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 61:[72, 49, 14, 46], Operations: []\nExploring Operation: 14+46=60, Resulting Numbers: [72, 49, 60]\nGenerated Node #0,0: 61:[72, 49, 60] Operation: 14+46=60\nMoving to Node #0,0\nCurrent State: 61:[72, 49, 60], Operations: ['14+46=60']\nExploring Operation: 72-49=23, Resulting Numbers: [60, 23]\nGenerated Node #0,0,0: 61:[60, 23] Operation: 72-49=23\nMoving to Node #0,0,0\nCurrent State: 61:[60, 23], Operations: ['14+46=60', '72-49=23']\nExploring Operation: 60+23=83, Resulting Numbers: [83]\n83,61 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 61:[60, 23], Operations: ['14+46=60', '72-49=23']\nExploring Operation: 60-23=37, Resulting Numbers: [37]\n37,61 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 61:[72, 49, 60], Operations: ['14+46=60']\nExploring Operation: 49+60=109, Resulting Numbers: [72, 109]\nGenerated Node #0,0,1: 61:[72, 109] Operation: 49+60=109\nMoving to Node #0,0,1\nCurrent State: 61:[72, 109], Operations: ['14+46=60', '49+60=109']\nExploring Operation: 109-72=37, Resulting Numbers: [37]\n37,61 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 61:[72, 49, 60], Operations: ['14+46=60']\nExploring Operation: 72+49=121, Resulting Numbers: [60, 121]\nGenerated Node #0,0,2: 61:[60, 121] Operation: 72+49=121\nMoving to Node #0,0,2\nCurrent State: 61:[60, 121], Operations: ['14+46=60', '72+49=121']\nExploring Operation: 121-60=61, Resulting Numbers: [61]\n61,61 equal: Goal Reached\n", "role": "assistant" } ]
[ 96, 18, 24, 24 ]
64
[ "24*24=576", "576/18=32", "96-32=64" ]
Current State: 64:[96, 18, 24, 24], Operations: [] Exploring Operation: 96-24=72, Resulting Numbers: [18, 24, 72] Generated Node #0,0: 64:[18, 24, 72] Operation: 96-24=72 Exploring Operation: 96-24=72, Resulting Numbers: [18, 24, 72] Generated Node #0,1: 64:[18, 24, 72] Operation: 96-24=72 Exploring Operation: 18+24=42, Resulting Numbers: [96, 24, 42] Generated Node #0,2: 64:[96, 24, 42] Operation: 18+24=42 Exploring Operation: 96-18=78, Resulting Numbers: [24, 24, 78] Generated Node #0,3: 64:[24, 24, 78] Operation: 96-18=78 Exploring Operation: 18+24=42, Resulting Numbers: [96, 24, 42] Generated Node #0,4: 64:[96, 24, 42] Operation: 18+24=42 Moving to Node #0,0 Current State: 64:[18, 24, 72], Operations: ['96-24=72'] Exploring Operation: 18+24=42, Resulting Numbers: [72, 42] Generated Node #0,0,0: 64:[72, 42] Operation: 18+24=42 Exploring Operation: 18+72=90, Resulting Numbers: [24, 90] Generated Node #0,0,1: 64:[24, 90] Operation: 18+72=90 Exploring Operation: 72-18=54, Resulting Numbers: [24, 54] Generated Node #0,0,2: 64:[24, 54] Operation: 72-18=54 Exploring Operation: 24-18=6, Resulting Numbers: [72, 6] Generated Node #0,0,3: 64:[72, 6] Operation: 24-18=6 Exploring Operation: 72-24=48, Resulting Numbers: [18, 48] Generated Node #0,0,4: 64:[18, 48] Operation: 72-24=48 Moving to Node #0,2 Current State: 64:[96, 24, 42], Operations: ['18+24=42'] Exploring Operation: 96-24=72, Resulting Numbers: [42, 72] Generated Node #0,2,0: 64:[42, 72] Operation: 96-24=72 Exploring Operation: 42-24=18, Resulting Numbers: [96, 18] Generated Node #0,2,1: 64:[96, 18] Operation: 42-24=18 Exploring Operation: 96+24=120, Resulting Numbers: [42, 120] Generated Node #0,2,2: 64:[42, 120] Operation: 96+24=120 Exploring Operation: 96-42=54, Resulting Numbers: [24, 54] Generated Node #0,2,3: 64:[24, 54] Operation: 96-42=54 Exploring Operation: 24+42=66, Resulting Numbers: [96, 66] Generated Node #0,2,4: 64:[96, 66] Operation: 24+42=66 Moving to Node #0,4 Current State: 64:[96, 24, 42], Operations: ['18+24=42'] Exploring Operation: 24+42=66, Resulting Numbers: [96, 66] Generated Node #0,4,0: 64:[96, 66] Operation: 24+42=66 Exploring Operation: 96-42=54, Resulting Numbers: [24, 54] Generated Node #0,4,1: 64:[24, 54] Operation: 96-42=54 Exploring Operation: 96-24=72, Resulting Numbers: [42, 72] Generated Node #0,4,2: 64:[42, 72] Operation: 96-24=72 Exploring Operation: 96+24=120, Resulting Numbers: [42, 120] Generated Node #0,4,3: 64:[42, 120] Operation: 96+24=120 Exploring Operation: 42-24=18, Resulting Numbers: [96, 18] Generated Node #0,4,4: 64:[96, 18] Operation: 42-24=18 Moving to Node #0,1 Current State: 64:[18, 24, 72], Operations: ['96-24=72'] Exploring Operation: 18+24=42, Resulting Numbers: [72, 42] Generated Node #0,1,0: 64:[72, 42] Operation: 18+24=42 Exploring Operation: 18+72=90, Resulting Numbers: [24, 90] Generated Node #0,1,1: 64:[24, 90] Operation: 18+72=90 Exploring Operation: 72-18=54, Resulting Numbers: [24, 54] Generated Node #0,1,2: 64:[24, 54] Operation: 72-18=54 Exploring Operation: 24-18=6, Resulting Numbers: [72, 6] Generated Node #0,1,3: 64:[72, 6] Operation: 24-18=6 Exploring Operation: 72-24=48, Resulting Numbers: [18, 48] Generated Node #0,1,4: 64:[18, 48] Operation: 72-24=48 Moving to Node #0,3 Current State: 64:[24, 24, 78], Operations: ['96-18=78'] Exploring Operation: 24/24=1, Resulting Numbers: [78, 1] Generated Node #0,3,0: 64:[78, 1] Operation: 24/24=1 Exploring Operation: 24+24=48, Resulting Numbers: [78, 48] Generated Node #0,3,1: 64:[78, 48] Operation: 24+24=48 Exploring Operation: 24-24=0, Resulting Numbers: [78, 0] Generated Node #0,3,2: 64:[78, 0] Operation: 24-24=0 Exploring Operation: 78-24=54, Resulting Numbers: [24, 54] Generated Node #0,3,3: 64:[24, 54] Operation: 78-24=54 Exploring Operation: 78-24=54, Resulting Numbers: [24, 54] Generated Node #0,3,4: 64:[24, 54] Operation: 78-24=54 Moving to Node #0,0,0 Current State: 64:[72, 42], Operations: ['96-24=72', '18+24=42'] Exploring Operation: 72*42=3024, Resulting Numbers: [3024] 3024,64 unequal: No Solution Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 72+42=114, Resulting Numbers: [114] 114,64 unequal: No Solution Moving to Node #0,2,0 Current State: 64:[42, 72], Operations: ['18+24=42', '96-24=72'] Exploring Operation: 42+72=114, Resulting Numbers: [114] 114,64 unequal: No Solution Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 42*72=3024, Resulting Numbers: [3024] 3024,64 unequal: No Solution Moving to Node #0,4,2 Current State: 64:[42, 72], Operations: ['18+24=42', '96-24=72'] Exploring Operation: 42*72=3024, Resulting Numbers: [3024] 3024,64 unequal: No Solution Exploring Operation: 42+72=114, Resulting Numbers: [114] 114,64 unequal: No Solution Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,64 unequal: No Solution Moving to Node #0,3,1 Current State: 64:[78, 48], Operations: ['96-18=78', '24+24=48'] Exploring Operation: 78*48=3744, Resulting Numbers: [3744] 3744,64 unequal: No Solution Exploring Operation: 78-48=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 78+48=126, Resulting Numbers: [126] 126,64 unequal: No Solution Moving to Node #0,1,0 Current State: 64:[72, 42], Operations: ['96-24=72', '18+24=42'] Exploring Operation: 72*42=3024, Resulting Numbers: [3024] 3024,64 unequal: No Solution Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 72+42=114, Resulting Numbers: [114] 114,64 unequal: No Solution Moving to Node #0,2,4 Current State: 64:[96, 66], Operations: ['18+24=42', '24+42=66'] Exploring Operation: 96*66=6336, Resulting Numbers: [6336] 6336,64 unequal: No Solution Exploring Operation: 96+66=162, Resulting Numbers: [162] 162,64 unequal: No Solution Exploring Operation: 96-66=30, Resulting Numbers: [30] 30,64 unequal: No Solution Moving to Node #0,4,0 Current State: 64:[96, 66], Operations: ['18+24=42', '24+42=66'] Exploring Operation: 96+66=162, Resulting Numbers: [162] 162,64 unequal: No Solution Exploring Operation: 96-66=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 96*66=6336, Resulting Numbers: [6336] 6336,64 unequal: No Solution Moving to Node #0,4,1 Current State: 64:[24, 54], Operations: ['18+24=42', '96-42=54'] Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,64 unequal: No Solution Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,64 unequal: No Solution Moving to Node #0,3,3 Current State: 64:[24, 54], Operations: ['96-18=78', '78-24=54'] Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,64 unequal: No Solution Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,64 unequal: No Solution Moving to Node #0,3,4 Current State: 64:[24, 54], Operations: ['96-18=78', '78-24=54'] Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,64 unequal: No Solution Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,64 unequal: No Solution Moving to Node #0,4,1,0 Current State: 64:[78], Operations: ['18+24=42', '96-42=54', '24+54=78'] Moving to Node #0,3,3,0 Current State: 64:[78], Operations: ['96-18=78', '78-24=54', '24+54=78'] Moving to Node #0,3,4,0 Current State: 64:[78], Operations: ['96-18=78', '78-24=54', '24+54=78'] Moving to Node #0,0,2 Current State: 64:[24, 54], Operations: ['96-24=72', '72-18=54'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,64 unequal: No Solution Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,64 unequal: No Solution Moving to Node #0,2,3 Current State: 64:[24, 54], Operations: ['18+24=42', '96-42=54'] Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,64 unequal: No Solution Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,64 unequal: No Solution Moving to Node #0,0,2,0 Current State: 64:[78], Operations: ['96-24=72', '72-18=54', '24+54=78'] Moving to Node #0,2,3,0 Current State: 64:[78], Operations: ['18+24=42', '96-42=54', '24+54=78'] Moving to Node #0,1,2 Current State: 64:[24, 54], Operations: ['96-24=72', '72-18=54'] Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,64 unequal: No Solution Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,64 unequal: No Solution Moving to Node #0,0,4 Current State: 64:[18, 48], Operations: ['96-24=72', '72-24=48'] Exploring Operation: 18*48=864, Resulting Numbers: [864] 864,64 unequal: No Solution Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,64 unequal: No Solution Moving to Node #0,1,4 Current State: 64:[18, 48], Operations: ['96-24=72', '72-24=48'] Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,64 unequal: No Solution Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,64 unequal: No Solution Exploring Operation: 18*48=864, Resulting Numbers: [864] 864,64 unequal: No Solution Moving to Node #0,0,4,0 Current State: 64:[66], Operations: ['96-24=72', '72-24=48', '18+48=66'] Moving to Node #0,1,4,0 Current State: 64:[66], Operations: ['96-24=72', '72-24=48', '18+48=66'] Moving to Node #0,1,2,0 Current State: 64:[78], Operations: ['96-24=72', '72-18=54', '24+54=78'] Moving to Node #0,1,3 Current State: 64:[72, 6], Operations: ['96-24=72', '24-18=6'] Exploring Operation: 72*6=432, Resulting Numbers: [432] 432,64 unequal: No Solution Exploring Operation: 72+6=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,64 unequal: No Solution Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,64 unequal: No Solution Moving to Node #0,0,3 Current State: 64:[72, 6], Operations: ['96-24=72', '24-18=6'] Exploring Operation: 72+6=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,64 unequal: No Solution Exploring Operation: 72*6=432, Resulting Numbers: [432] 432,64 unequal: No Solution Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,64 unequal: No Solution Moving to Node #0,1,3,0 Current State: 64:[66], Operations: ['96-24=72', '24-18=6', '72-6=66'] Moving to Node #0,0,3,0 Current State: 64:[66], Operations: ['96-24=72', '24-18=6', '72-6=66'] Moving to Node #0,0,3,0 Current State: 64:[78], Operations: ['96-24=72', '24-18=6', '72+6=78'] Moving to Node #0,1,3,0 Current State: 64:[78], Operations: ['96-24=72', '24-18=6', '72+6=78'] Moving to Node #0,1,1 Current State: 64:[24, 90], Operations: ['96-24=72', '18+72=90'] Exploring Operation: 90-24=66, Resulting Numbers: [66] 66,64 unequal: No Solution Exploring Operation: 24+90=114, Resulting Numbers: [114] 114,64 unequal: No Solution Exploring Operation: 24*90=2160, Resulting Numbers: [2160] 2160,64 unequal: No Solution Moving to Node #0,1,1,0 Current State: 64:[66], Operations: ['96-24=72', '18+72=90', '90-24=66'] Moving to Node #0,0,1 Current State: 64:[24, 90], Operations: ['96-24=72', '18+72=90'] Exploring Operation: 90-24=66, Resulting Numbers: [66] 66,64 unequal: No Solution Exploring Operation: 24*90=2160, Resulting Numbers: [2160] 2160,64 unequal: No Solution Exploring Operation: 24+90=114, Resulting Numbers: [114] 114,64 unequal: No Solution Moving to Node #0,2,4,0 Current State: 64:[30], Operations: ['18+24=42', '24+42=66', '96-66=30'] Moving to Node #0,3,1,0 Current State: 64:[30], Operations: ['96-18=78', '24+24=48', '78-48=30'] Moving to Node #0,4,2,0 Current State: 64:[30], Operations: ['18+24=42', '96-24=72', '72-42=30'] Moving to Node #0,0,1,0 Current State: 64:[66], Operations: ['96-24=72', '18+72=90', '90-24=66'] Moving to Node #0,2,0,0 Current State: 64:[30], Operations: ['18+24=42', '96-24=72', '72-42=30'] Moving to Node #0,0,4,0 Current State: 64:[30], Operations: ['96-24=72', '72-24=48', '48-18=30'] Moving to Node #0,1,4,0 Current State: 64:[30], Operations: ['96-24=72', '72-24=48', '48-18=30'] Moving to Node #0,2,3,0 Current State: 64:[30], Operations: ['18+24=42', '96-42=54', '54-24=30'] Moving to Node #0,3,4,0 Current State: 64:[30], Operations: ['96-18=78', '78-24=54', '54-24=30'] Moving to Node #0,0,2,0 Current State: 64:[30], Operations: ['96-24=72', '72-18=54', '54-24=30'] Moving to Node #0,1,2,0 Current State: 64:[30], Operations: ['96-24=72', '72-18=54', '54-24=30'] Moving to Node #0,1,0,0 Current State: 64:[30], Operations: ['96-24=72', '18+24=42', '72-42=30'] Moving to Node #0,0,0,0 Current State: 64:[30], Operations: ['96-24=72', '18+24=42', '72-42=30'] Moving to Node #0,4,1,0 Current State: 64:[30], Operations: ['18+24=42', '96-42=54', '54-24=30'] Moving to Node #0,3,3,0 Current State: 64:[30], Operations: ['96-18=78', '78-24=54', '54-24=30'] Moving to Node #0,4,0,0 Current State: 64:[30], Operations: ['18+24=42', '24+42=66', '96-66=30'] Moving to Node #0,3,0 Current State: 64:[78, 1], Operations: ['96-18=78', '24/24=1'] Exploring Operation: 78*1=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 78+1=79, Resulting Numbers: [79] 79,64 unequal: No Solution Exploring Operation: 78/1=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 78-1=77, Resulting Numbers: [77] 77,64 unequal: No Solution Moving to Node #0,4,4 Current State: 64:[96, 18], Operations: ['18+24=42', '42-24=18'] Exploring Operation: 96*18=1728, Resulting Numbers: [1728] 1728,64 unequal: No Solution Exploring Operation: 96+18=114, Resulting Numbers: [114] 114,64 unequal: No Solution Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,64 unequal: No Solution Moving to Node #0,3,0,0 Current State: 64:[77], Operations: ['96-18=78', '24/24=1', '78-1=77'] Moving to Node #0,3,0,0 Current State: 64:[78], Operations: ['96-18=78', '24/24=1', '78*1=78'] Moving to Node #0,3,0,0 Current State: 64:[78], Operations: ['96-18=78', '24/24=1', '78/1=78'] Moving to Node #0,4,4,0 Current State: 64:[78], Operations: ['18+24=42', '42-24=18', '96-18=78'] Moving to Node #0,3,0,0 Current State: 64:[79], Operations: ['96-18=78', '24/24=1', '78+1=79'] Moving to Node #0,4,3 Current State: 64:[42, 120], Operations: ['18+24=42', '96+24=120'] Exploring Operation: 42*120=5040, Resulting Numbers: [5040] 5040,64 unequal: No Solution Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 42+120=162, Resulting Numbers: [162] 162,64 unequal: No Solution Moving to Node #0,3,2 Current State: 64:[78, 0], Operations: ['96-18=78', '24-24=0'] Exploring Operation: 78*0=0, Resulting Numbers: [0] 0,64 unequal: No Solution Exploring Operation: 78-0=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,64 unequal: No Solution Moving to Node #0,2,2 Current State: 64:[42, 120], Operations: ['18+24=42', '96+24=120'] Exploring Operation: 42+120=162, Resulting Numbers: [162] 162,64 unequal: No Solution Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 42*120=5040, Resulting Numbers: [5040] 5040,64 unequal: No Solution Moving to Node #0,2,1 Current State: 64:[96, 18], Operations: ['18+24=42', '42-24=18'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 96+18=114, Resulting Numbers: [114] 114,64 unequal: No Solution Exploring Operation: 96*18=1728, Resulting Numbers: [1728] 1728,64 unequal: No Solution Moving to Node #0,4,2,0 Current State: 64:[114], Operations: ['18+24=42', '96-24=72', '42+72=114'] Moving to Node #0,4,3,0 Current State: 64:[78], Operations: ['18+24=42', '96+24=120', '120-42=78'] Moving to Node #0,3,2,0 Current State: 64:[78], Operations: ['96-18=78', '24-24=0', '78-0=78'] Moving to Node #0,2,1,0 Current State: 64:[78], Operations: ['18+24=42', '42-24=18', '96-18=78'] Moving to Node #0,3,2,0 Current State: 64:[78], Operations: ['96-18=78', '24-24=0', '78+0=78'] Moving to Node #0,2,2,0 Current State: 64:[78], Operations: ['18+24=42', '96+24=120', '120-42=78'] Moving to Node #0,0,0,0 Current State: 64:[114], Operations: ['96-24=72', '18+24=42', '72+42=114'] Moving to Node #0,2,0,0 Current State: 64:[114], Operations: ['18+24=42', '96-24=72', '42+72=114'] Moving to Node #0,1,1,0 Current State: 64:[114], Operations: ['96-24=72', '18+72=90', '24+90=114'] Moving to Node #0,4,4,0 Current State: 64:[114], Operations: ['18+24=42', '42-24=18', '96+18=114'] Moving to Node #0,2,1,0 Current State: 64:[114], Operations: ['18+24=42', '42-24=18', '96+18=114'] Moving to Node #0,1,0,0 Current State: 64:[114], Operations: ['96-24=72', '18+24=42', '72+42=114'] Moving to Node #0,0,1,0 Current State: 64:[114], Operations: ['96-24=72', '18+72=90', '24+90=114'] Moving to Node #0,1,3,0 Current State: 64:[12], Operations: ['96-24=72', '24-18=6', '72/6=12'] Moving to Node #0,0,3,0 Current State: 64:[12], Operations: ['96-24=72', '24-18=6', '72/6=12'] Moving to Node #0,3,1,0 Current State: 64:[126], Operations: ['96-18=78', '24+24=48', '78+48=126'] Moving to Node #0,3,2,0 Current State: 64:[0], Operations: ['96-18=78', '24-24=0', '78*0=0'] Moving to Node #0,2,4,0 Current State: 64:[162], Operations: ['18+24=42', '24+42=66', '96+66=162'] Moving to Node #0,2,2,0 Current State: 64:[162], Operations: ['18+24=42', '96+24=120', '42+120=162'] Moving to Node #0,4,0,0 Current State: 64:[162], Operations: ['18+24=42', '24+42=66', '96+66=162'] Moving to Node #0,4,3,0 Current State: 64:[162], Operations: ['18+24=42', '96+24=120', '42+120=162'] Moving to Node #0,0,3,0 Current State: 64:[432], Operations: ['96-24=72', '24-18=6', '72*6=432'] Moving to Node #0,1,3,0 Current State: 64:[432], Operations: ['96-24=72', '24-18=6', '72*6=432'] Moving to Node #0,1,4,0 Current State: 64:[864], Operations: ['96-24=72', '72-24=48', '18*48=864'] Moving to Node #0,0,4,0 Current State: 64:[864], Operations: ['96-24=72', '72-24=48', '18*48=864'] Moving to Node #0,3,4,0 Current State: 64:[1296], Operations: ['96-18=78', '78-24=54', '24*54=1296'] Moving to Node #0,1,2,0 Current State: 64:[1296], Operations: ['96-24=72', '72-18=54', '24*54=1296'] Moving to Node #0,2,3,0 Current State: 64:[1296], Operations: ['18+24=42', '96-42=54', '24*54=1296'] Moving to Node #0,4,1,0 Current State: 64:[1296], Operations: ['18+24=42', '96-42=54', '24*54=1296'] Moving to Node #0,0,2,0 Current State: 64:[1296], Operations: ['96-24=72', '72-18=54', '24*54=1296'] Moving to Node #0,3,3,0 Current State: 64:[1296], Operations: ['96-18=78', '78-24=54', '24*54=1296'] Moving to Node #0,4,4,0 Current State: 64:[1728], Operations: ['18+24=42', '42-24=18', '96*18=1728'] Moving to Node #0,2,1,0 Current State: 64:[1728], Operations: ['18+24=42', '42-24=18', '96*18=1728'] Moving to Node #0,1,1,0 Current State: 64:[2160], Operations: ['96-24=72', '18+72=90', '24*90=2160'] Moving to Node #0,0,1,0 Current State: 64:[2160], Operations: ['96-24=72', '18+72=90', '24*90=2160'] Moving to Node #0,4,2,0 Current State: 64:[3024], Operations: ['18+24=42', '96-24=72', '42*72=3024'] Moving to Node #0,1,0,0 Current State: 64:[3024], Operations: ['96-24=72', '18+24=42', '72*42=3024'] Moving to Node #0,2,0,0 Current State: 64:[3024], Operations: ['18+24=42', '96-24=72', '42*72=3024'] Moving to Node #0,0,0,0 Current State: 64:[3024], Operations: ['96-24=72', '18+24=42', '72*42=3024'] Moving to Node #0,3,1,0 Current State: 64:[3744], Operations: ['96-18=78', '24+24=48', '78*48=3744'] Moving to Node #0,4,3,0 Current State: 64:[5040], Operations: ['18+24=42', '96+24=120', '42*120=5040'] Moving to Node #0,2,2,0 Current State: 64:[5040], Operations: ['18+24=42', '96+24=120', '42*120=5040'] Moving to Node #0,4,0,0 Current State: 64:[6336], Operations: ['18+24=42', '24+42=66', '96*66=6336'] Moving to Node #0,2,4,0 Current State: 64:[6336], Operations: ['18+24=42', '24+42=66', '96*66=6336'] No solution found.
0
bfs_5
Current State: 64:[96, 18, 24, 24], Operations: [] Exploring Operation: 24*24=576, Resulting Numbers: [96, 18, 576] Generated Node #2: [96, 18, 576] from Operation: 24*24=576 Current State: 64:[96, 18, 576], Operations: ['24*24=576'] Exploring Operation: 576/18=32, Resulting Numbers: [96, 32] Generated Node #3: [96, 32] from Operation: 576/18=32 Current State: 64:[96, 32], Operations: ['24*24=576', '576/18=32'] Exploring Operation: 96-32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
sum_heuristic
[ { "content": "Make 64 with the numbers [96, 18, 24, 24] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 64:[96, 18, 24, 24], Operations: []\nExploring Operation: 96-24=72, Resulting Numbers: [18, 24, 72]\nGenerated Node #0,0: 64:[18, 24, 72] Operation: 96-24=72\nExploring Operation: 96-24=72, Resulting Numbers: [18, 24, 72]\nGenerated Node #0,1: 64:[18, 24, 72] Operation: 96-24=72\nExploring Operation: 18+24=42, Resulting Numbers: [96, 24, 42]\nGenerated Node #0,2: 64:[96, 24, 42] Operation: 18+24=42\nExploring Operation: 96-18=78, Resulting Numbers: [24, 24, 78]\nGenerated Node #0,3: 64:[24, 24, 78] Operation: 96-18=78\nExploring Operation: 18+24=42, Resulting Numbers: [96, 24, 42]\nGenerated Node #0,4: 64:[96, 24, 42] Operation: 18+24=42\nMoving to Node #0,0\nCurrent State: 64:[18, 24, 72], Operations: ['96-24=72']\nExploring Operation: 18+24=42, Resulting Numbers: [72, 42]\nGenerated Node #0,0,0: 64:[72, 42] Operation: 18+24=42\nExploring Operation: 18+72=90, Resulting Numbers: [24, 90]\nGenerated Node #0,0,1: 64:[24, 90] Operation: 18+72=90\nExploring Operation: 72-18=54, Resulting Numbers: [24, 54]\nGenerated Node #0,0,2: 64:[24, 54] Operation: 72-18=54\nExploring Operation: 24-18=6, Resulting Numbers: [72, 6]\nGenerated Node #0,0,3: 64:[72, 6] Operation: 24-18=6\nExploring Operation: 72-24=48, Resulting Numbers: [18, 48]\nGenerated Node #0,0,4: 64:[18, 48] Operation: 72-24=48\nMoving to Node #0,2\nCurrent State: 64:[96, 24, 42], Operations: ['18+24=42']\nExploring Operation: 96-24=72, Resulting Numbers: [42, 72]\nGenerated Node #0,2,0: 64:[42, 72] Operation: 96-24=72\nExploring Operation: 42-24=18, Resulting Numbers: [96, 18]\nGenerated Node #0,2,1: 64:[96, 18] Operation: 42-24=18\nExploring Operation: 96+24=120, Resulting Numbers: [42, 120]\nGenerated Node #0,2,2: 64:[42, 120] Operation: 96+24=120\nExploring Operation: 96-42=54, Resulting Numbers: [24, 54]\nGenerated Node #0,2,3: 64:[24, 54] Operation: 96-42=54\nExploring Operation: 24+42=66, Resulting Numbers: [96, 66]\nGenerated Node #0,2,4: 64:[96, 66] Operation: 24+42=66\nMoving to Node #0,4\nCurrent State: 64:[96, 24, 42], Operations: ['18+24=42']\nExploring Operation: 24+42=66, Resulting Numbers: [96, 66]\nGenerated Node #0,4,0: 64:[96, 66] Operation: 24+42=66\nExploring Operation: 96-42=54, Resulting Numbers: [24, 54]\nGenerated Node #0,4,1: 64:[24, 54] Operation: 96-42=54\nExploring Operation: 96-24=72, Resulting Numbers: [42, 72]\nGenerated Node #0,4,2: 64:[42, 72] Operation: 96-24=72\nExploring Operation: 96+24=120, Resulting Numbers: [42, 120]\nGenerated Node #0,4,3: 64:[42, 120] Operation: 96+24=120\nExploring Operation: 42-24=18, Resulting Numbers: [96, 18]\nGenerated Node #0,4,4: 64:[96, 18] Operation: 42-24=18\nMoving to Node #0,1\nCurrent State: 64:[18, 24, 72], Operations: ['96-24=72']\nExploring Operation: 18+24=42, Resulting Numbers: [72, 42]\nGenerated Node #0,1,0: 64:[72, 42] Operation: 18+24=42\nExploring Operation: 18+72=90, Resulting Numbers: [24, 90]\nGenerated Node #0,1,1: 64:[24, 90] Operation: 18+72=90\nExploring Operation: 72-18=54, Resulting Numbers: [24, 54]\nGenerated Node #0,1,2: 64:[24, 54] Operation: 72-18=54\nExploring Operation: 24-18=6, Resulting Numbers: [72, 6]\nGenerated Node #0,1,3: 64:[72, 6] Operation: 24-18=6\nExploring Operation: 72-24=48, Resulting Numbers: [18, 48]\nGenerated Node #0,1,4: 64:[18, 48] Operation: 72-24=48\nMoving to Node #0,3\nCurrent State: 64:[24, 24, 78], Operations: ['96-18=78']\nExploring Operation: 24/24=1, Resulting Numbers: [78, 1]\nGenerated Node #0,3,0: 64:[78, 1] Operation: 24/24=1\nExploring Operation: 24+24=48, Resulting Numbers: [78, 48]\nGenerated Node #0,3,1: 64:[78, 48] Operation: 24+24=48\nExploring Operation: 24-24=0, Resulting Numbers: [78, 0]\nGenerated Node #0,3,2: 64:[78, 0] Operation: 24-24=0\nExploring Operation: 78-24=54, Resulting Numbers: [24, 54]\nGenerated Node #0,3,3: 64:[24, 54] Operation: 78-24=54\nExploring Operation: 78-24=54, Resulting Numbers: [24, 54]\nGenerated Node #0,3,4: 64:[24, 54] Operation: 78-24=54\nMoving to Node #0,0,0\nCurrent State: 64:[72, 42], Operations: ['96-24=72', '18+24=42']\nExploring Operation: 72*42=3024, Resulting Numbers: [3024]\n3024,64 unequal: No Solution\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 72+42=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 64:[42, 72], Operations: ['18+24=42', '96-24=72']\nExploring Operation: 42+72=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 42*72=3024, Resulting Numbers: [3024]\n3024,64 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 64:[42, 72], Operations: ['18+24=42', '96-24=72']\nExploring Operation: 42*72=3024, Resulting Numbers: [3024]\n3024,64 unequal: No Solution\nExploring Operation: 42+72=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 64:[78, 48], Operations: ['96-18=78', '24+24=48']\nExploring Operation: 78*48=3744, Resulting Numbers: [3744]\n3744,64 unequal: No Solution\nExploring Operation: 78-48=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 78+48=126, Resulting Numbers: [126]\n126,64 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 64:[72, 42], Operations: ['96-24=72', '18+24=42']\nExploring Operation: 72*42=3024, Resulting Numbers: [3024]\n3024,64 unequal: No Solution\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 72+42=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 64:[96, 66], Operations: ['18+24=42', '24+42=66']\nExploring Operation: 96*66=6336, Resulting Numbers: [6336]\n6336,64 unequal: No Solution\nExploring Operation: 96+66=162, Resulting Numbers: [162]\n162,64 unequal: No Solution\nExploring Operation: 96-66=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 64:[96, 66], Operations: ['18+24=42', '24+42=66']\nExploring Operation: 96+66=162, Resulting Numbers: [162]\n162,64 unequal: No Solution\nExploring Operation: 96-66=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 96*66=6336, Resulting Numbers: [6336]\n6336,64 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 64:[24, 54], Operations: ['18+24=42', '96-42=54']\nExploring Operation: 24*54=1296, Resulting Numbers: [1296]\n1296,64 unequal: No Solution\nExploring Operation: 54-24=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 24+54=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 64:[24, 54], Operations: ['96-18=78', '78-24=54']\nExploring Operation: 24+54=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 24*54=1296, Resulting Numbers: [1296]\n1296,64 unequal: No Solution\nExploring Operation: 54-24=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 64:[24, 54], Operations: ['96-18=78', '78-24=54']\nExploring Operation: 24+54=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 24*54=1296, Resulting Numbers: [1296]\n1296,64 unequal: No Solution\nExploring Operation: 54-24=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nMoving to Node #0,4,1,0\nCurrent State: 64:[78], Operations: ['18+24=42', '96-42=54', '24+54=78']\nMoving to Node #0,3,3,0\nCurrent State: 64:[78], Operations: ['96-18=78', '78-24=54', '24+54=78']\nMoving to Node #0,3,4,0\nCurrent State: 64:[78], Operations: ['96-18=78', '78-24=54', '24+54=78']\nMoving to Node #0,0,2\nCurrent State: 64:[24, 54], Operations: ['96-24=72', '72-18=54']\nExploring Operation: 54-24=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 24*54=1296, Resulting Numbers: [1296]\n1296,64 unequal: No Solution\nExploring Operation: 24+54=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 64:[24, 54], Operations: ['18+24=42', '96-42=54']\nExploring Operation: 24+54=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 24*54=1296, Resulting Numbers: [1296]\n1296,64 unequal: No Solution\nExploring Operation: 54-24=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 64:[78], Operations: ['96-24=72', '72-18=54', '24+54=78']\nMoving to Node #0,2,3,0\nCurrent State: 64:[78], Operations: ['18+24=42', '96-42=54', '24+54=78']\nMoving to Node #0,1,2\nCurrent State: 64:[24, 54], Operations: ['96-24=72', '72-18=54']\nExploring Operation: 24*54=1296, Resulting Numbers: [1296]\n1296,64 unequal: No Solution\nExploring Operation: 54-24=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 24+54=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 64:[18, 48], Operations: ['96-24=72', '72-24=48']\nExploring Operation: 18*48=864, Resulting Numbers: [864]\n864,64 unequal: No Solution\nExploring Operation: 48-18=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 18+48=66, Resulting Numbers: [66]\n66,64 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 64:[18, 48], Operations: ['96-24=72', '72-24=48']\nExploring Operation: 48-18=30, Resulting Numbers: [30]\n30,64 unequal: No Solution\nExploring Operation: 18+48=66, Resulting Numbers: [66]\n66,64 unequal: No Solution\nExploring Operation: 18*48=864, Resulting Numbers: [864]\n864,64 unequal: No Solution\nMoving to Node #0,0,4,0\nCurrent State: 64:[66], Operations: ['96-24=72', '72-24=48', '18+48=66']\nMoving to Node #0,1,4,0\nCurrent State: 64:[66], Operations: ['96-24=72', '72-24=48', '18+48=66']\nMoving to Node #0,1,2,0\nCurrent State: 64:[78], Operations: ['96-24=72', '72-18=54', '24+54=78']\nMoving to Node #0,1,3\nCurrent State: 64:[72, 6], Operations: ['96-24=72', '24-18=6']\nExploring Operation: 72*6=432, Resulting Numbers: [432]\n432,64 unequal: No Solution\nExploring Operation: 72+6=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 72/6=12, Resulting Numbers: [12]\n12,64 unequal: No Solution\nExploring Operation: 72-6=66, Resulting Numbers: [66]\n66,64 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 64:[72, 6], Operations: ['96-24=72', '24-18=6']\nExploring Operation: 72+6=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 72-6=66, Resulting Numbers: [66]\n66,64 unequal: No Solution\nExploring Operation: 72*6=432, Resulting Numbers: [432]\n432,64 unequal: No Solution\nExploring Operation: 72/6=12, Resulting Numbers: [12]\n12,64 unequal: No Solution\nMoving to Node #0,1,3,0\nCurrent State: 64:[66], Operations: ['96-24=72', '24-18=6', '72-6=66']\nMoving to Node #0,0,3,0\nCurrent State: 64:[66], Operations: ['96-24=72', '24-18=6', '72-6=66']\nMoving to Node #0,0,3,0\nCurrent State: 64:[78], Operations: ['96-24=72', '24-18=6', '72+6=78']\nMoving to Node #0,1,3,0\nCurrent State: 64:[78], Operations: ['96-24=72', '24-18=6', '72+6=78']\nMoving to Node #0,1,1\nCurrent State: 64:[24, 90], Operations: ['96-24=72', '18+72=90']\nExploring Operation: 90-24=66, Resulting Numbers: [66]\n66,64 unequal: No Solution\nExploring Operation: 24+90=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nExploring Operation: 24*90=2160, Resulting Numbers: [2160]\n2160,64 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 64:[66], Operations: ['96-24=72', '18+72=90', '90-24=66']\nMoving to Node #0,0,1\nCurrent State: 64:[24, 90], Operations: ['96-24=72', '18+72=90']\nExploring Operation: 90-24=66, Resulting Numbers: [66]\n66,64 unequal: No Solution\nExploring Operation: 24*90=2160, Resulting Numbers: [2160]\n2160,64 unequal: No Solution\nExploring Operation: 24+90=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nMoving to Node #0,2,4,0\nCurrent State: 64:[30], Operations: ['18+24=42', '24+42=66', '96-66=30']\nMoving to Node #0,3,1,0\nCurrent State: 64:[30], Operations: ['96-18=78', '24+24=48', '78-48=30']\nMoving to Node #0,4,2,0\nCurrent State: 64:[30], Operations: ['18+24=42', '96-24=72', '72-42=30']\nMoving to Node #0,0,1,0\nCurrent State: 64:[66], Operations: ['96-24=72', '18+72=90', '90-24=66']\nMoving to Node #0,2,0,0\nCurrent State: 64:[30], Operations: ['18+24=42', '96-24=72', '72-42=30']\nMoving to Node #0,0,4,0\nCurrent State: 64:[30], Operations: ['96-24=72', '72-24=48', '48-18=30']\nMoving to Node #0,1,4,0\nCurrent State: 64:[30], Operations: ['96-24=72', '72-24=48', '48-18=30']\nMoving to Node #0,2,3,0\nCurrent State: 64:[30], Operations: ['18+24=42', '96-42=54', '54-24=30']\nMoving to Node #0,3,4,0\nCurrent State: 64:[30], Operations: ['96-18=78', '78-24=54', '54-24=30']\nMoving to Node #0,0,2,0\nCurrent State: 64:[30], Operations: ['96-24=72', '72-18=54', '54-24=30']\nMoving to Node #0,1,2,0\nCurrent State: 64:[30], Operations: ['96-24=72', '72-18=54', '54-24=30']\nMoving to Node #0,1,0,0\nCurrent State: 64:[30], Operations: ['96-24=72', '18+24=42', '72-42=30']\nMoving to Node #0,0,0,0\nCurrent State: 64:[30], Operations: ['96-24=72', '18+24=42', '72-42=30']\nMoving to Node #0,4,1,0\nCurrent State: 64:[30], Operations: ['18+24=42', '96-42=54', '54-24=30']\nMoving to Node #0,3,3,0\nCurrent State: 64:[30], Operations: ['96-18=78', '78-24=54', '54-24=30']\nMoving to Node #0,4,0,0\nCurrent State: 64:[30], Operations: ['18+24=42', '24+42=66', '96-66=30']\nMoving to Node #0,3,0\nCurrent State: 64:[78, 1], Operations: ['96-18=78', '24/24=1']\nExploring Operation: 78*1=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 78+1=79, Resulting Numbers: [79]\n79,64 unequal: No Solution\nExploring Operation: 78/1=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 78-1=77, Resulting Numbers: [77]\n77,64 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 64:[96, 18], Operations: ['18+24=42', '42-24=18']\nExploring Operation: 96*18=1728, Resulting Numbers: [1728]\n1728,64 unequal: No Solution\nExploring Operation: 96+18=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nExploring Operation: 96-18=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nMoving to Node #0,3,0,0\nCurrent State: 64:[77], Operations: ['96-18=78', '24/24=1', '78-1=77']\nMoving to Node #0,3,0,0\nCurrent State: 64:[78], Operations: ['96-18=78', '24/24=1', '78*1=78']\nMoving to Node #0,3,0,0\nCurrent State: 64:[78], Operations: ['96-18=78', '24/24=1', '78/1=78']\nMoving to Node #0,4,4,0\nCurrent State: 64:[78], Operations: ['18+24=42', '42-24=18', '96-18=78']\nMoving to Node #0,3,0,0\nCurrent State: 64:[79], Operations: ['96-18=78', '24/24=1', '78+1=79']\nMoving to Node #0,4,3\nCurrent State: 64:[42, 120], Operations: ['18+24=42', '96+24=120']\nExploring Operation: 42*120=5040, Resulting Numbers: [5040]\n5040,64 unequal: No Solution\nExploring Operation: 120-42=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 42+120=162, Resulting Numbers: [162]\n162,64 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 64:[78, 0], Operations: ['96-18=78', '24-24=0']\nExploring Operation: 78*0=0, Resulting Numbers: [0]\n0,64 unequal: No Solution\nExploring Operation: 78-0=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 78+0=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 64:[42, 120], Operations: ['18+24=42', '96+24=120']\nExploring Operation: 42+120=162, Resulting Numbers: [162]\n162,64 unequal: No Solution\nExploring Operation: 120-42=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 42*120=5040, Resulting Numbers: [5040]\n5040,64 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 64:[96, 18], Operations: ['18+24=42', '42-24=18']\nExploring Operation: 96-18=78, Resulting Numbers: [78]\n78,64 unequal: No Solution\nExploring Operation: 96+18=114, Resulting Numbers: [114]\n114,64 unequal: No Solution\nExploring Operation: 96*18=1728, Resulting Numbers: [1728]\n1728,64 unequal: No Solution\nMoving to Node #0,4,2,0\nCurrent State: 64:[114], Operations: ['18+24=42', '96-24=72', '42+72=114']\nMoving to Node #0,4,3,0\nCurrent State: 64:[78], Operations: ['18+24=42', '96+24=120', '120-42=78']\nMoving to Node #0,3,2,0\nCurrent State: 64:[78], Operations: ['96-18=78', '24-24=0', '78-0=78']\nMoving to Node #0,2,1,0\nCurrent State: 64:[78], Operations: ['18+24=42', '42-24=18', '96-18=78']\nMoving to Node #0,3,2,0\nCurrent State: 64:[78], Operations: ['96-18=78', '24-24=0', '78+0=78']\nMoving to Node #0,2,2,0\nCurrent State: 64:[78], Operations: ['18+24=42', '96+24=120', '120-42=78']\nMoving to Node #0,0,0,0\nCurrent State: 64:[114], Operations: ['96-24=72', '18+24=42', '72+42=114']\nMoving to Node #0,2,0,0\nCurrent State: 64:[114], Operations: ['18+24=42', '96-24=72', '42+72=114']\nMoving to Node #0,1,1,0\nCurrent State: 64:[114], Operations: ['96-24=72', '18+72=90', '24+90=114']\nMoving to Node #0,4,4,0\nCurrent State: 64:[114], Operations: ['18+24=42', '42-24=18', '96+18=114']\nMoving to Node #0,2,1,0\nCurrent State: 64:[114], Operations: ['18+24=42', '42-24=18', '96+18=114']\nMoving to Node #0,1,0,0\nCurrent State: 64:[114], Operations: ['96-24=72', '18+24=42', '72+42=114']\nMoving to Node #0,0,1,0\nCurrent State: 64:[114], Operations: ['96-24=72', '18+72=90', '24+90=114']\nMoving to Node #0,1,3,0\nCurrent State: 64:[12], Operations: ['96-24=72', '24-18=6', '72/6=12']\nMoving to Node #0,0,3,0\nCurrent State: 64:[12], Operations: ['96-24=72', '24-18=6', '72/6=12']\nMoving to Node #0,3,1,0\nCurrent State: 64:[126], Operations: ['96-18=78', '24+24=48', '78+48=126']\nMoving to Node #0,3,2,0\nCurrent State: 64:[0], Operations: ['96-18=78', '24-24=0', '78*0=0']\nMoving to Node #0,2,4,0\nCurrent State: 64:[162], Operations: ['18+24=42', '24+42=66', '96+66=162']\nMoving to Node #0,2,2,0\nCurrent State: 64:[162], Operations: ['18+24=42', '96+24=120', '42+120=162']\nMoving to Node #0,4,0,0\nCurrent State: 64:[162], Operations: ['18+24=42', '24+42=66', '96+66=162']\nMoving to Node #0,4,3,0\nCurrent State: 64:[162], Operations: ['18+24=42', '96+24=120', '42+120=162']\nMoving to Node #0,0,3,0\nCurrent State: 64:[432], Operations: ['96-24=72', '24-18=6', '72*6=432']\nMoving to Node #0,1,3,0\nCurrent State: 64:[432], Operations: ['96-24=72', '24-18=6', '72*6=432']\nMoving to Node #0,1,4,0\nCurrent State: 64:[864], Operations: ['96-24=72', '72-24=48', '18*48=864']\nMoving to Node #0,0,4,0\nCurrent State: 64:[864], Operations: ['96-24=72', '72-24=48', '18*48=864']\nMoving to Node #0,3,4,0\nCurrent State: 64:[1296], Operations: ['96-18=78', '78-24=54', '24*54=1296']\nMoving to Node #0,1,2,0\nCurrent State: 64:[1296], Operations: ['96-24=72', '72-18=54', '24*54=1296']\nMoving to Node #0,2,3,0\nCurrent State: 64:[1296], Operations: ['18+24=42', '96-42=54', '24*54=1296']\nMoving to Node #0,4,1,0\nCurrent State: 64:[1296], Operations: ['18+24=42', '96-42=54', '24*54=1296']\nMoving to Node #0,0,2,0\nCurrent State: 64:[1296], Operations: ['96-24=72', '72-18=54', '24*54=1296']\nMoving to Node #0,3,3,0\nCurrent State: 64:[1296], Operations: ['96-18=78', '78-24=54', '24*54=1296']\nMoving to Node #0,4,4,0\nCurrent State: 64:[1728], Operations: ['18+24=42', '42-24=18', '96*18=1728']\nMoving to Node #0,2,1,0\nCurrent State: 64:[1728], Operations: ['18+24=42', '42-24=18', '96*18=1728']\nMoving to Node #0,1,1,0\nCurrent State: 64:[2160], Operations: ['96-24=72', '18+72=90', '24*90=2160']\nMoving to Node #0,0,1,0\nCurrent State: 64:[2160], Operations: ['96-24=72', '18+72=90', '24*90=2160']\nMoving to Node #0,4,2,0\nCurrent State: 64:[3024], Operations: ['18+24=42', '96-24=72', '42*72=3024']\nMoving to Node #0,1,0,0\nCurrent State: 64:[3024], Operations: ['96-24=72', '18+24=42', '72*42=3024']\nMoving to Node #0,2,0,0\nCurrent State: 64:[3024], Operations: ['18+24=42', '96-24=72', '42*72=3024']\nMoving to Node #0,0,0,0\nCurrent State: 64:[3024], Operations: ['96-24=72', '18+24=42', '72*42=3024']\nMoving to Node #0,3,1,0\nCurrent State: 64:[3744], Operations: ['96-18=78', '24+24=48', '78*48=3744']\nMoving to Node #0,4,3,0\nCurrent State: 64:[5040], Operations: ['18+24=42', '96+24=120', '42*120=5040']\nMoving to Node #0,2,2,0\nCurrent State: 64:[5040], Operations: ['18+24=42', '96+24=120', '42*120=5040']\nMoving to Node #0,4,0,0\nCurrent State: 64:[6336], Operations: ['18+24=42', '24+42=66', '96*66=6336']\nMoving to Node #0,2,4,0\nCurrent State: 64:[6336], Operations: ['18+24=42', '24+42=66', '96*66=6336']\nNo solution found.", "role": "assistant" } ]
[ 2, 32, 8, 97 ]
61
[ "8/2=4", "97-32=65", "65-4=61" ]
Current State: 61:[2, 32, 8, 97], Operations: []
0
dfs
Current State: 61:[2, 32, 8, 97], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [32, 97, 4] Generated Node #2: [32, 97, 4] from Operation: 8/2=4 Current State: 61:[32, 97, 4], Operations: ['8/2=4'] Exploring Operation: 97-32=65, Resulting Numbers: [4, 65] Generated Node #3: [4, 65] from Operation: 97-32=65 Current State: 61:[4, 65], Operations: ['8/2=4', '97-32=65'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
mult_heuristic
[ { "content": "Make 61 with the numbers [2, 32, 8, 97] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 61:[2, 32, 8, 97], Operations: []\n", "role": "assistant" } ]
[ 36, 49, 36, 94 ]
49
[ "36-36=0", "94*0=0", "49+0=49" ]
Current State: 49:[36, 49, 36, 94], Operations: [] Exploring Operation: 94-36=58, Resulting Numbers: [49, 36, 58] Generated Node #0,0: 49:[49, 36, 58] Operation: 94-36=58 Exploring Operation: 36/36=1, Resulting Numbers: [49, 94, 1] Generated Node #0,1: 49:[49, 94, 1] Operation: 36/36=1 Exploring Operation: 94-49=45, Resulting Numbers: [36, 36, 45] Generated Node #0,2: 49:[36, 36, 45] Operation: 94-49=45 Exploring Operation: 36+36=72, Resulting Numbers: [49, 94, 72] Generated Node #0,3: 49:[49, 94, 72] Operation: 36+36=72 Exploring Operation: 94-36=58, Resulting Numbers: [36, 49, 58] Generated Node #0,4: 49:[36, 49, 58] Operation: 94-36=58 Moving to Node #0,0 Current State: 49:[49, 36, 58], Operations: ['94-36=58'] Exploring Operation: 49+36=85, Resulting Numbers: [58, 85] Generated Node #0,0,0: 49:[58, 85] Operation: 49+36=85 Exploring Operation: 49-36=13, Resulting Numbers: [58, 13] Generated Node #0,0,1: 49:[58, 13] Operation: 49-36=13 Exploring Operation: 58-36=22, Resulting Numbers: [49, 22] Generated Node #0,0,2: 49:[49, 22] Operation: 58-36=22 Exploring Operation: 58-49=9, Resulting Numbers: [36, 9] Generated Node #0,0,3: 49:[36, 9] Operation: 58-49=9 Exploring Operation: 36+58=94, Resulting Numbers: [49, 94] Generated Node #0,0,4: 49:[49, 94] Operation: 36+58=94 Moving to Node #0,4 Current State: 49:[36, 49, 58], Operations: ['94-36=58'] Exploring Operation: 36+49=85, Resulting Numbers: [58, 85] Generated Node #0,4,0: 49:[58, 85] Operation: 36+49=85 Exploring Operation: 49-36=13, Resulting Numbers: [58, 13] Generated Node #0,4,1: 49:[58, 13] Operation: 49-36=13 Exploring Operation: 58-36=22, Resulting Numbers: [49, 22] Generated Node #0,4,2: 49:[49, 22] Operation: 58-36=22 Exploring Operation: 36+58=94, Resulting Numbers: [49, 94] Generated Node #0,4,3: 49:[49, 94] Operation: 36+58=94 Exploring Operation: 58-49=9, Resulting Numbers: [36, 9] Generated Node #0,4,4: 49:[36, 9] Operation: 58-49=9 Moving to Node #0,2 Current State: 49:[36, 36, 45], Operations: ['94-49=45'] Exploring Operation: 36/36=1, Resulting Numbers: [45, 1] Generated Node #0,2,0: 49:[45, 1] Operation: 36/36=1 Exploring Operation: 36-36=0, Resulting Numbers: [45, 0] Generated Node #0,2,1: 49:[45, 0] Operation: 36-36=0 Exploring Operation: 36+45=81, Resulting Numbers: [36, 81] Generated Node #0,2,2: 49:[36, 81] Operation: 36+45=81 Exploring Operation: 36+45=81, Resulting Numbers: [36, 81] Generated Node #0,2,3: 49:[36, 81] Operation: 36+45=81 Exploring Operation: 36+36=72, Resulting Numbers: [45, 72] Generated Node #0,2,4: 49:[45, 72] Operation: 36+36=72 Moving to Node #0,3 Current State: 49:[49, 94, 72], Operations: ['36+36=72'] Exploring Operation: 49+94=143, Resulting Numbers: [72, 143] Generated Node #0,3,0: 49:[72, 143] Operation: 49+94=143 Exploring Operation: 49+72=121, Resulting Numbers: [94, 121] Generated Node #0,3,1: 49:[94, 121] Operation: 49+72=121 Exploring Operation: 72-49=23, Resulting Numbers: [94, 23] Generated Node #0,3,2: 49:[94, 23] Operation: 72-49=23 Exploring Operation: 94-49=45, Resulting Numbers: [72, 45] Generated Node #0,3,3: 49:[72, 45] Operation: 94-49=45 Exploring Operation: 94-72=22, Resulting Numbers: [49, 22] Generated Node #0,3,4: 49:[49, 22] Operation: 94-72=22 Moving to Node #0,1 Current State: 49:[49, 94, 1], Operations: ['36/36=1'] Exploring Operation: 94-1=93, Resulting Numbers: [49, 93] Generated Node #0,1,0: 49:[49, 93] Operation: 94-1=93 Exploring Operation: 94*1=94, Resulting Numbers: [49, 94] Generated Node #0,1,1: 49:[49, 94] Operation: 94*1=94 Exploring Operation: 94/1=94, Resulting Numbers: [49, 94] Generated Node #0,1,2: 49:[49, 94] Operation: 94/1=94 Exploring Operation: 49*1=49, Resulting Numbers: [94, 49] Generated Node #0,1,3: 49:[94, 49] Operation: 49*1=49 Exploring Operation: 49/1=49, Resulting Numbers: [94, 49] Generated Node #0,1,4: 49:[94, 49] Operation: 49/1=49 Moving to Node #0,0,2 Current State: 49:[49, 22], Operations: ['94-36=58', '58-36=22'] Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 49*22=1078, Resulting Numbers: [1078] 1078,49 unequal: No Solution Exploring Operation: 49+22=71, Resulting Numbers: [71] 71,49 unequal: No Solution Moving to Node #0,4,2 Current State: 49:[49, 22], Operations: ['94-36=58', '58-36=22'] Exploring Operation: 49*22=1078, Resulting Numbers: [1078] 1078,49 unequal: No Solution Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 49+22=71, Resulting Numbers: [71] 71,49 unequal: No Solution Moving to Node #0,2,4 Current State: 49:[45, 72], Operations: ['94-49=45', '36+36=72'] Exploring Operation: 45+72=117, Resulting Numbers: [117] 117,49 unequal: No Solution Exploring Operation: 72-45=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 45*72=3240, Resulting Numbers: [3240] 3240,49 unequal: No Solution Moving to Node #0,3,3 Current State: 49:[72, 45], Operations: ['36+36=72', '94-49=45'] Exploring Operation: 72-45=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 72*45=3240, Resulting Numbers: [3240] 3240,49 unequal: No Solution Exploring Operation: 72+45=117, Resulting Numbers: [117] 117,49 unequal: No Solution Moving to Node #0,3,4 Current State: 49:[49, 22], Operations: ['36+36=72', '94-72=22'] Exploring Operation: 49+22=71, Resulting Numbers: [71] 71,49 unequal: No Solution Exploring Operation: 49*22=1078, Resulting Numbers: [1078] 1078,49 unequal: No Solution Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,49 unequal: No Solution Moving to Node #0,1,0 Current State: 49:[49, 93], Operations: ['36/36=1', '94-1=93'] Exploring Operation: 49*93=4557, Resulting Numbers: [4557] 4557,49 unequal: No Solution Exploring Operation: 93-49=44, Resulting Numbers: [44] 44,49 unequal: No Solution Exploring Operation: 49+93=142, Resulting Numbers: [142] 142,49 unequal: No Solution Moving to Node #0,4,2,0 Current State: 49:[27], Operations: ['94-36=58', '58-36=22', '49-22=27'] Moving to Node #0,3,3,0 Current State: 49:[27], Operations: ['36+36=72', '94-49=45', '72-45=27'] Moving to Node #0,4,2,0 Current State: 49:[71], Operations: ['94-36=58', '58-36=22', '49+22=71'] Moving to Node #0,2,4,0 Current State: 49:[27], Operations: ['94-49=45', '36+36=72', '72-45=27'] Moving to Node #0,1,0,0 Current State: 49:[44], Operations: ['36/36=1', '94-1=93', '93-49=44'] Moving to Node #0,0,2,0 Current State: 49:[27], Operations: ['94-36=58', '58-36=22', '49-22=27'] Moving to Node #0,0,2,0 Current State: 49:[71], Operations: ['94-36=58', '58-36=22', '49+22=71'] Moving to Node #0,3,4,0 Current State: 49:[71], Operations: ['36+36=72', '94-72=22', '49+22=71'] Moving to Node #0,3,4,0 Current State: 49:[27], Operations: ['36+36=72', '94-72=22', '49-22=27'] Moving to Node #0,1,4 Current State: 49:[94, 49], Operations: ['36/36=1', '49/1=49'] Exploring Operation: 94+49=143, Resulting Numbers: [143] 143,49 unequal: No Solution Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 94*49=4606, Resulting Numbers: [4606] 4606,49 unequal: No Solution Moving to Node #0,2,3 Current State: 49:[36, 81], Operations: ['94-49=45', '36+45=81'] Exploring Operation: 81-36=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 36*81=2916, Resulting Numbers: [2916] 2916,49 unequal: No Solution Exploring Operation: 36+81=117, Resulting Numbers: [117] 117,49 unequal: No Solution Moving to Node #0,1,3 Current State: 49:[94, 49], Operations: ['36/36=1', '49*1=49'] Exploring Operation: 94*49=4606, Resulting Numbers: [4606] 4606,49 unequal: No Solution Exploring Operation: 94+49=143, Resulting Numbers: [143] 143,49 unequal: No Solution Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,49 unequal: No Solution Moving to Node #0,4,1 Current State: 49:[58, 13], Operations: ['94-36=58', '49-36=13'] Exploring Operation: 58+13=71, Resulting Numbers: [71] 71,49 unequal: No Solution Exploring Operation: 58*13=754, Resulting Numbers: [754] 754,49 unequal: No Solution Exploring Operation: 58-13=45, Resulting Numbers: [45] 45,49 unequal: No Solution Moving to Node #0,4,0 Current State: 49:[58, 85], Operations: ['94-36=58', '36+49=85'] Exploring Operation: 58+85=143, Resulting Numbers: [143] 143,49 unequal: No Solution Exploring Operation: 85-58=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 58*85=4930, Resulting Numbers: [4930] 4930,49 unequal: No Solution Moving to Node #0,1,4,0 Current State: 49:[45], Operations: ['36/36=1', '49/1=49', '94-49=45'] Moving to Node #0,2,3,0 Current State: 49:[45], Operations: ['94-49=45', '36+45=81', '81-36=45'] Moving to Node #0,1,3,0 Current State: 49:[45], Operations: ['36/36=1', '49*1=49', '94-49=45'] Moving to Node #0,4,1,0 Current State: 49:[45], Operations: ['94-36=58', '49-36=13', '58-13=45'] Moving to Node #0,4,1,0 Current State: 49:[71], Operations: ['94-36=58', '49-36=13', '58+13=71'] Moving to Node #0,4,0,0 Current State: 49:[27], Operations: ['94-36=58', '36+49=85', '85-58=27'] Moving to Node #0,0,1 Current State: 49:[58, 13], Operations: ['94-36=58', '49-36=13'] Exploring Operation: 58-13=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 58+13=71, Resulting Numbers: [71] 71,49 unequal: No Solution Exploring Operation: 58*13=754, Resulting Numbers: [754] 754,49 unequal: No Solution Moving to Node #0,2,2 Current State: 49:[36, 81], Operations: ['94-49=45', '36+45=81'] Exploring Operation: 81-36=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 36+81=117, Resulting Numbers: [117] 117,49 unequal: No Solution Exploring Operation: 36*81=2916, Resulting Numbers: [2916] 2916,49 unequal: No Solution Moving to Node #0,0,4 Current State: 49:[49, 94], Operations: ['94-36=58', '36+58=94'] Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 49*94=4606, Resulting Numbers: [4606] 4606,49 unequal: No Solution Exploring Operation: 49+94=143, Resulting Numbers: [143] 143,49 unequal: No Solution Moving to Node #0,0,0 Current State: 49:[58, 85], Operations: ['94-36=58', '49+36=85'] Exploring Operation: 58*85=4930, Resulting Numbers: [4930] 4930,49 unequal: No Solution Exploring Operation: 85-58=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 58+85=143, Resulting Numbers: [143] 143,49 unequal: No Solution Moving to Node #0,0,1,0 Current State: 49:[45], Operations: ['94-36=58', '49-36=13', '58-13=45'] Moving to Node #0,2,2,0 Current State: 49:[45], Operations: ['94-49=45', '36+45=81', '81-36=45'] Moving to Node #0,0,4,0 Current State: 49:[45], Operations: ['94-36=58', '36+58=94', '94-49=45'] Moving to Node #0,0,1,0 Current State: 49:[71], Operations: ['94-36=58', '49-36=13', '58+13=71'] Moving to Node #0,0,0,0 Current State: 49:[27], Operations: ['94-36=58', '49+36=85', '85-58=27'] Moving to Node #0,1,1 Current State: 49:[49, 94], Operations: ['36/36=1', '94*1=94'] Exploring Operation: 49*94=4606, Resulting Numbers: [4606] 4606,49 unequal: No Solution Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 49+94=143, Resulting Numbers: [143] 143,49 unequal: No Solution Moving to Node #0,1,2 Current State: 49:[49, 94], Operations: ['36/36=1', '94/1=94'] Exploring Operation: 49+94=143, Resulting Numbers: [143] 143,49 unequal: No Solution Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 49*94=4606, Resulting Numbers: [4606] 4606,49 unequal: No Solution Moving to Node #0,4,3 Current State: 49:[49, 94], Operations: ['94-36=58', '36+58=94'] Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 49*94=4606, Resulting Numbers: [4606] 4606,49 unequal: No Solution Exploring Operation: 49+94=143, Resulting Numbers: [143] 143,49 unequal: No Solution Moving to Node #0,2,0 Current State: 49:[45, 1], Operations: ['94-49=45', '36/36=1'] Exploring Operation: 45/1=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,49 unequal: No Solution Exploring Operation: 45+1=46, Resulting Numbers: [46] 46,49 unequal: No Solution Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,49 unequal: No Solution Moving to Node #0,2,1 Current State: 49:[45, 0], Operations: ['94-49=45', '36-36=0'] Exploring Operation: 45+0=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 45*0=0, Resulting Numbers: [0] 0,49 unequal: No Solution Exploring Operation: 45-0=45, Resulting Numbers: [45] 45,49 unequal: No Solution Moving to Node #0,2,0,0 Current State: 49:[46], Operations: ['94-49=45', '36/36=1', '45+1=46'] Moving to Node #0,1,1,0 Current State: 49:[45], Operations: ['36/36=1', '94*1=94', '94-49=45'] Moving to Node #0,1,2,0 Current State: 49:[45], Operations: ['36/36=1', '94/1=94', '94-49=45'] Moving to Node #0,2,1,0 Current State: 49:[45], Operations: ['94-49=45', '36-36=0', '45+0=45'] Moving to Node #0,2,1,0 Current State: 49:[45], Operations: ['94-49=45', '36-36=0', '45-0=45'] Moving to Node #0,2,0,0 Current State: 49:[45], Operations: ['94-49=45', '36/36=1', '45/1=45'] Moving to Node #0,2,0,0 Current State: 49:[45], Operations: ['94-49=45', '36/36=1', '45*1=45'] Moving to Node #0,4,3,0 Current State: 49:[45], Operations: ['94-36=58', '36+58=94', '94-49=45'] Moving to Node #0,2,0,0 Current State: 49:[44], Operations: ['94-49=45', '36/36=1', '45-1=44'] Moving to Node #0,0,3 Current State: 49:[36, 9], Operations: ['94-36=58', '58-49=9'] Exploring Operation: 36/9=4, Resulting Numbers: [4] 4,49 unequal: No Solution Exploring Operation: 36*9=324, Resulting Numbers: [324] 324,49 unequal: No Solution Exploring Operation: 36+9=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,49 unequal: No Solution Moving to Node #0,0,3,0 Current State: 49:[45], Operations: ['94-36=58', '58-49=9', '36+9=45'] Moving to Node #0,0,3,0 Current State: 49:[27], Operations: ['94-36=58', '58-49=9', '36-9=27'] Moving to Node #0,4,4 Current State: 49:[36, 9], Operations: ['94-36=58', '58-49=9'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 36/9=4, Resulting Numbers: [4] 4,49 unequal: No Solution Exploring Operation: 36+9=45, Resulting Numbers: [45] 45,49 unequal: No Solution Exploring Operation: 36*9=324, Resulting Numbers: [324] 324,49 unequal: No Solution Moving to Node #0,3,2 Current State: 49:[94, 23], Operations: ['36+36=72', '72-49=23'] Exploring Operation: 94+23=117, Resulting Numbers: [117] 117,49 unequal: No Solution Exploring Operation: 94*23=2162, Resulting Numbers: [2162] 2162,49 unequal: No Solution Exploring Operation: 94-23=71, Resulting Numbers: [71] 71,49 unequal: No Solution Moving to Node #0,0,3,0 Current State: 49:[4], Operations: ['94-36=58', '58-49=9', '36/9=4'] Moving to Node #0,4,4,0 Current State: 49:[45], Operations: ['94-36=58', '58-49=9', '36+9=45'] Moving to Node #0,4,4,0 Current State: 49:[27], Operations: ['94-36=58', '58-49=9', '36-9=27'] Moving to Node #0,3,2,0 Current State: 49:[71], Operations: ['36+36=72', '72-49=23', '94-23=71'] Moving to Node #0,4,4,0 Current State: 49:[4], Operations: ['94-36=58', '58-49=9', '36/9=4'] Moving to Node #0,2,1,0 Current State: 49:[0], Operations: ['94-49=45', '36-36=0', '45*0=0'] Moving to Node #0,3,1 Current State: 49:[94, 121], Operations: ['36+36=72', '49+72=121'] Exploring Operation: 121-94=27, Resulting Numbers: [27] 27,49 unequal: No Solution Exploring Operation: 94*121=11374, Resulting Numbers: [11374] 11374,49 unequal: No Solution Exploring Operation: 94+121=215, Resulting Numbers: [215] 215,49 unequal: No Solution Moving to Node #0,3,0 Current State: 49:[72, 143], Operations: ['36+36=72', '49+94=143'] Exploring Operation: 143-72=71, Resulting Numbers: [71] 71,49 unequal: No Solution Exploring Operation: 72+143=215, Resulting Numbers: [215] 215,49 unequal: No Solution Exploring Operation: 72*143=10296, Resulting Numbers: [10296] 10296,49 unequal: No Solution Moving to Node #0,2,4,0 Current State: 49:[117], Operations: ['94-49=45', '36+36=72', '45+72=117'] Moving to Node #0,2,3,0 Current State: 49:[117], Operations: ['94-49=45', '36+45=81', '36+81=117'] Moving to Node #0,3,3,0 Current State: 49:[117], Operations: ['36+36=72', '94-49=45', '72+45=117'] Moving to Node #0,3,1,0 Current State: 49:[27], Operations: ['36+36=72', '49+72=121', '121-94=27'] Moving to Node #0,3,0,0 Current State: 49:[71], Operations: ['36+36=72', '49+94=143', '143-72=71'] Moving to Node #0,3,2,0 Current State: 49:[117], Operations: ['36+36=72', '72-49=23', '94+23=117'] Moving to Node #0,2,2,0 Current State: 49:[117], Operations: ['94-49=45', '36+45=81', '36+81=117'] Moving to Node #0,1,0,0 Current State: 49:[142], Operations: ['36/36=1', '94-1=93', '49+93=142'] Moving to Node #0,1,3,0 Current State: 49:[143], Operations: ['36/36=1', '49*1=49', '94+49=143'] Moving to Node #0,4,0,0 Current State: 49:[143], Operations: ['94-36=58', '36+49=85', '58+85=143'] Moving to Node #0,1,4,0 Current State: 49:[143], Operations: ['36/36=1', '49/1=49', '94+49=143'] Moving to Node #0,0,0,0 Current State: 49:[143], Operations: ['94-36=58', '49+36=85', '58+85=143'] Moving to Node #0,4,3,0 Current State: 49:[143], Operations: ['94-36=58', '36+58=94', '49+94=143'] Moving to Node #0,0,4,0 Current State: 49:[143], Operations: ['94-36=58', '36+58=94', '49+94=143'] Moving to Node #0,1,2,0 Current State: 49:[143], Operations: ['36/36=1', '94/1=94', '49+94=143'] Moving to Node #0,1,1,0 Current State: 49:[143], Operations: ['36/36=1', '94*1=94', '49+94=143'] Moving to Node #0,3,0,0 Current State: 49:[215], Operations: ['36+36=72', '49+94=143', '72+143=215'] Moving to Node #0,3,1,0 Current State: 49:[215], Operations: ['36+36=72', '49+72=121', '94+121=215'] Moving to Node #0,0,3,0 Current State: 49:[324], Operations: ['94-36=58', '58-49=9', '36*9=324'] Moving to Node #0,4,4,0 Current State: 49:[324], Operations: ['94-36=58', '58-49=9', '36*9=324'] Moving to Node #0,0,1,0 Current State: 49:[754], Operations: ['94-36=58', '49-36=13', '58*13=754'] Moving to Node #0,4,1,0 Current State: 49:[754], Operations: ['94-36=58', '49-36=13', '58*13=754'] Moving to Node #0,4,2,0 Current State: 49:[1078], Operations: ['94-36=58', '58-36=22', '49*22=1078'] Moving to Node #0,0,2,0 Current State: 49:[1078], Operations: ['94-36=58', '58-36=22', '49*22=1078'] Moving to Node #0,3,4,0 Current State: 49:[1078], Operations: ['36+36=72', '94-72=22', '49*22=1078'] Moving to Node #0,3,2,0 Current State: 49:[2162], Operations: ['36+36=72', '72-49=23', '94*23=2162'] Moving to Node #0,2,3,0 Current State: 49:[2916], Operations: ['94-49=45', '36+45=81', '36*81=2916'] Moving to Node #0,2,2,0 Current State: 49:[2916], Operations: ['94-49=45', '36+45=81', '36*81=2916'] Moving to Node #0,2,4,0 Current State: 49:[3240], Operations: ['94-49=45', '36+36=72', '45*72=3240'] Moving to Node #0,3,3,0 Current State: 49:[3240], Operations: ['36+36=72', '94-49=45', '72*45=3240'] Moving to Node #0,1,0,0 Current State: 49:[4557], Operations: ['36/36=1', '94-1=93', '49*93=4557'] Moving to Node #0,1,2,0 Current State: 49:[4606], Operations: ['36/36=1', '94/1=94', '49*94=4606'] Moving to Node #0,1,4,0 Current State: 49:[4606], Operations: ['36/36=1', '49/1=49', '94*49=4606'] Moving to Node #0,1,1,0 Current State: 49:[4606], Operations: ['36/36=1', '94*1=94', '49*94=4606'] Moving to Node #0,4,3,0 Current State: 49:[4606], Operations: ['94-36=58', '36+58=94', '49*94=4606'] Moving to Node #0,0,4,0 Current State: 49:[4606], Operations: ['94-36=58', '36+58=94', '49*94=4606'] Moving to Node #0,1,3,0 Current State: 49:[4606], Operations: ['36/36=1', '49*1=49', '94*49=4606'] Moving to Node #0,4,0,0 Current State: 49:[4930], Operations: ['94-36=58', '36+49=85', '58*85=4930'] Moving to Node #0,0,0,0 Current State: 49:[4930], Operations: ['94-36=58', '49+36=85', '58*85=4930'] Moving to Node #0,3,0,0 Current State: 49:[10296], Operations: ['36+36=72', '49+94=143', '72*143=10296'] Moving to Node #0,3,1,0 Current State: 49:[11374], Operations: ['36+36=72', '49+72=121', '94*121=11374'] No solution found.
0
bfs_5
Current State: 49:[36, 49, 36, 94], Operations: [] Exploring Operation: 36-36=0, Resulting Numbers: [49, 94, 0] Generated Node #2: [49, 94, 0] from Operation: 36-36=0 Current State: 49:[49, 94, 0], Operations: ['36-36=0'] Exploring Operation: 94*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 94*0=0 Current State: 49:[49, 0], Operations: ['36-36=0', '94*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
sum_heuristic
[ { "content": "Make 49 with the numbers [36, 49, 36, 94] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 49:[36, 49, 36, 94], Operations: []\nExploring Operation: 94-36=58, Resulting Numbers: [49, 36, 58]\nGenerated Node #0,0: 49:[49, 36, 58] Operation: 94-36=58\nExploring Operation: 36/36=1, Resulting Numbers: [49, 94, 1]\nGenerated Node #0,1: 49:[49, 94, 1] Operation: 36/36=1\nExploring Operation: 94-49=45, Resulting Numbers: [36, 36, 45]\nGenerated Node #0,2: 49:[36, 36, 45] Operation: 94-49=45\nExploring Operation: 36+36=72, Resulting Numbers: [49, 94, 72]\nGenerated Node #0,3: 49:[49, 94, 72] Operation: 36+36=72\nExploring Operation: 94-36=58, Resulting Numbers: [36, 49, 58]\nGenerated Node #0,4: 49:[36, 49, 58] Operation: 94-36=58\nMoving to Node #0,0\nCurrent State: 49:[49, 36, 58], Operations: ['94-36=58']\nExploring Operation: 49+36=85, Resulting Numbers: [58, 85]\nGenerated Node #0,0,0: 49:[58, 85] Operation: 49+36=85\nExploring Operation: 49-36=13, Resulting Numbers: [58, 13]\nGenerated Node #0,0,1: 49:[58, 13] Operation: 49-36=13\nExploring Operation: 58-36=22, Resulting Numbers: [49, 22]\nGenerated Node #0,0,2: 49:[49, 22] Operation: 58-36=22\nExploring Operation: 58-49=9, Resulting Numbers: [36, 9]\nGenerated Node #0,0,3: 49:[36, 9] Operation: 58-49=9\nExploring Operation: 36+58=94, Resulting Numbers: [49, 94]\nGenerated Node #0,0,4: 49:[49, 94] Operation: 36+58=94\nMoving to Node #0,4\nCurrent State: 49:[36, 49, 58], Operations: ['94-36=58']\nExploring Operation: 36+49=85, Resulting Numbers: [58, 85]\nGenerated Node #0,4,0: 49:[58, 85] Operation: 36+49=85\nExploring Operation: 49-36=13, Resulting Numbers: [58, 13]\nGenerated Node #0,4,1: 49:[58, 13] Operation: 49-36=13\nExploring Operation: 58-36=22, Resulting Numbers: [49, 22]\nGenerated Node #0,4,2: 49:[49, 22] Operation: 58-36=22\nExploring Operation: 36+58=94, Resulting Numbers: [49, 94]\nGenerated Node #0,4,3: 49:[49, 94] Operation: 36+58=94\nExploring Operation: 58-49=9, Resulting Numbers: [36, 9]\nGenerated Node #0,4,4: 49:[36, 9] Operation: 58-49=9\nMoving to Node #0,2\nCurrent State: 49:[36, 36, 45], Operations: ['94-49=45']\nExploring Operation: 36/36=1, Resulting Numbers: [45, 1]\nGenerated Node #0,2,0: 49:[45, 1] Operation: 36/36=1\nExploring Operation: 36-36=0, Resulting Numbers: [45, 0]\nGenerated Node #0,2,1: 49:[45, 0] Operation: 36-36=0\nExploring Operation: 36+45=81, Resulting Numbers: [36, 81]\nGenerated Node #0,2,2: 49:[36, 81] Operation: 36+45=81\nExploring Operation: 36+45=81, Resulting Numbers: [36, 81]\nGenerated Node #0,2,3: 49:[36, 81] Operation: 36+45=81\nExploring Operation: 36+36=72, Resulting Numbers: [45, 72]\nGenerated Node #0,2,4: 49:[45, 72] Operation: 36+36=72\nMoving to Node #0,3\nCurrent State: 49:[49, 94, 72], Operations: ['36+36=72']\nExploring Operation: 49+94=143, Resulting Numbers: [72, 143]\nGenerated Node #0,3,0: 49:[72, 143] Operation: 49+94=143\nExploring Operation: 49+72=121, Resulting Numbers: [94, 121]\nGenerated Node #0,3,1: 49:[94, 121] Operation: 49+72=121\nExploring Operation: 72-49=23, Resulting Numbers: [94, 23]\nGenerated Node #0,3,2: 49:[94, 23] Operation: 72-49=23\nExploring Operation: 94-49=45, Resulting Numbers: [72, 45]\nGenerated Node #0,3,3: 49:[72, 45] Operation: 94-49=45\nExploring Operation: 94-72=22, Resulting Numbers: [49, 22]\nGenerated Node #0,3,4: 49:[49, 22] Operation: 94-72=22\nMoving to Node #0,1\nCurrent State: 49:[49, 94, 1], Operations: ['36/36=1']\nExploring Operation: 94-1=93, Resulting Numbers: [49, 93]\nGenerated Node #0,1,0: 49:[49, 93] Operation: 94-1=93\nExploring Operation: 94*1=94, Resulting Numbers: [49, 94]\nGenerated Node #0,1,1: 49:[49, 94] Operation: 94*1=94\nExploring Operation: 94/1=94, Resulting Numbers: [49, 94]\nGenerated Node #0,1,2: 49:[49, 94] Operation: 94/1=94\nExploring Operation: 49*1=49, Resulting Numbers: [94, 49]\nGenerated Node #0,1,3: 49:[94, 49] Operation: 49*1=49\nExploring Operation: 49/1=49, Resulting Numbers: [94, 49]\nGenerated Node #0,1,4: 49:[94, 49] Operation: 49/1=49\nMoving to Node #0,0,2\nCurrent State: 49:[49, 22], Operations: ['94-36=58', '58-36=22']\nExploring Operation: 49-22=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 49*22=1078, Resulting Numbers: [1078]\n1078,49 unequal: No Solution\nExploring Operation: 49+22=71, Resulting Numbers: [71]\n71,49 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 49:[49, 22], Operations: ['94-36=58', '58-36=22']\nExploring Operation: 49*22=1078, Resulting Numbers: [1078]\n1078,49 unequal: No Solution\nExploring Operation: 49-22=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 49+22=71, Resulting Numbers: [71]\n71,49 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 49:[45, 72], Operations: ['94-49=45', '36+36=72']\nExploring Operation: 45+72=117, Resulting Numbers: [117]\n117,49 unequal: No Solution\nExploring Operation: 72-45=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 45*72=3240, Resulting Numbers: [3240]\n3240,49 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 49:[72, 45], Operations: ['36+36=72', '94-49=45']\nExploring Operation: 72-45=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 72*45=3240, Resulting Numbers: [3240]\n3240,49 unequal: No Solution\nExploring Operation: 72+45=117, Resulting Numbers: [117]\n117,49 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 49:[49, 22], Operations: ['36+36=72', '94-72=22']\nExploring Operation: 49+22=71, Resulting Numbers: [71]\n71,49 unequal: No Solution\nExploring Operation: 49*22=1078, Resulting Numbers: [1078]\n1078,49 unequal: No Solution\nExploring Operation: 49-22=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 49:[49, 93], Operations: ['36/36=1', '94-1=93']\nExploring Operation: 49*93=4557, Resulting Numbers: [4557]\n4557,49 unequal: No Solution\nExploring Operation: 93-49=44, Resulting Numbers: [44]\n44,49 unequal: No Solution\nExploring Operation: 49+93=142, Resulting Numbers: [142]\n142,49 unequal: No Solution\nMoving to Node #0,4,2,0\nCurrent State: 49:[27], Operations: ['94-36=58', '58-36=22', '49-22=27']\nMoving to Node #0,3,3,0\nCurrent State: 49:[27], Operations: ['36+36=72', '94-49=45', '72-45=27']\nMoving to Node #0,4,2,0\nCurrent State: 49:[71], Operations: ['94-36=58', '58-36=22', '49+22=71']\nMoving to Node #0,2,4,0\nCurrent State: 49:[27], Operations: ['94-49=45', '36+36=72', '72-45=27']\nMoving to Node #0,1,0,0\nCurrent State: 49:[44], Operations: ['36/36=1', '94-1=93', '93-49=44']\nMoving to Node #0,0,2,0\nCurrent State: 49:[27], Operations: ['94-36=58', '58-36=22', '49-22=27']\nMoving to Node #0,0,2,0\nCurrent State: 49:[71], Operations: ['94-36=58', '58-36=22', '49+22=71']\nMoving to Node #0,3,4,0\nCurrent State: 49:[71], Operations: ['36+36=72', '94-72=22', '49+22=71']\nMoving to Node #0,3,4,0\nCurrent State: 49:[27], Operations: ['36+36=72', '94-72=22', '49-22=27']\nMoving to Node #0,1,4\nCurrent State: 49:[94, 49], Operations: ['36/36=1', '49/1=49']\nExploring Operation: 94+49=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nExploring Operation: 94-49=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 94*49=4606, Resulting Numbers: [4606]\n4606,49 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 49:[36, 81], Operations: ['94-49=45', '36+45=81']\nExploring Operation: 81-36=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 36*81=2916, Resulting Numbers: [2916]\n2916,49 unequal: No Solution\nExploring Operation: 36+81=117, Resulting Numbers: [117]\n117,49 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 49:[94, 49], Operations: ['36/36=1', '49*1=49']\nExploring Operation: 94*49=4606, Resulting Numbers: [4606]\n4606,49 unequal: No Solution\nExploring Operation: 94+49=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nExploring Operation: 94-49=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 49:[58, 13], Operations: ['94-36=58', '49-36=13']\nExploring Operation: 58+13=71, Resulting Numbers: [71]\n71,49 unequal: No Solution\nExploring Operation: 58*13=754, Resulting Numbers: [754]\n754,49 unequal: No Solution\nExploring Operation: 58-13=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 49:[58, 85], Operations: ['94-36=58', '36+49=85']\nExploring Operation: 58+85=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nExploring Operation: 85-58=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 58*85=4930, Resulting Numbers: [4930]\n4930,49 unequal: No Solution\nMoving to Node #0,1,4,0\nCurrent State: 49:[45], Operations: ['36/36=1', '49/1=49', '94-49=45']\nMoving to Node #0,2,3,0\nCurrent State: 49:[45], Operations: ['94-49=45', '36+45=81', '81-36=45']\nMoving to Node #0,1,3,0\nCurrent State: 49:[45], Operations: ['36/36=1', '49*1=49', '94-49=45']\nMoving to Node #0,4,1,0\nCurrent State: 49:[45], Operations: ['94-36=58', '49-36=13', '58-13=45']\nMoving to Node #0,4,1,0\nCurrent State: 49:[71], Operations: ['94-36=58', '49-36=13', '58+13=71']\nMoving to Node #0,4,0,0\nCurrent State: 49:[27], Operations: ['94-36=58', '36+49=85', '85-58=27']\nMoving to Node #0,0,1\nCurrent State: 49:[58, 13], Operations: ['94-36=58', '49-36=13']\nExploring Operation: 58-13=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 58+13=71, Resulting Numbers: [71]\n71,49 unequal: No Solution\nExploring Operation: 58*13=754, Resulting Numbers: [754]\n754,49 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 49:[36, 81], Operations: ['94-49=45', '36+45=81']\nExploring Operation: 81-36=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 36+81=117, Resulting Numbers: [117]\n117,49 unequal: No Solution\nExploring Operation: 36*81=2916, Resulting Numbers: [2916]\n2916,49 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 49:[49, 94], Operations: ['94-36=58', '36+58=94']\nExploring Operation: 94-49=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 49*94=4606, Resulting Numbers: [4606]\n4606,49 unequal: No Solution\nExploring Operation: 49+94=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 49:[58, 85], Operations: ['94-36=58', '49+36=85']\nExploring Operation: 58*85=4930, Resulting Numbers: [4930]\n4930,49 unequal: No Solution\nExploring Operation: 85-58=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 58+85=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 49:[45], Operations: ['94-36=58', '49-36=13', '58-13=45']\nMoving to Node #0,2,2,0\nCurrent State: 49:[45], Operations: ['94-49=45', '36+45=81', '81-36=45']\nMoving to Node #0,0,4,0\nCurrent State: 49:[45], Operations: ['94-36=58', '36+58=94', '94-49=45']\nMoving to Node #0,0,1,0\nCurrent State: 49:[71], Operations: ['94-36=58', '49-36=13', '58+13=71']\nMoving to Node #0,0,0,0\nCurrent State: 49:[27], Operations: ['94-36=58', '49+36=85', '85-58=27']\nMoving to Node #0,1,1\nCurrent State: 49:[49, 94], Operations: ['36/36=1', '94*1=94']\nExploring Operation: 49*94=4606, Resulting Numbers: [4606]\n4606,49 unequal: No Solution\nExploring Operation: 94-49=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 49+94=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 49:[49, 94], Operations: ['36/36=1', '94/1=94']\nExploring Operation: 49+94=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nExploring Operation: 94-49=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 49*94=4606, Resulting Numbers: [4606]\n4606,49 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 49:[49, 94], Operations: ['94-36=58', '36+58=94']\nExploring Operation: 94-49=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 49*94=4606, Resulting Numbers: [4606]\n4606,49 unequal: No Solution\nExploring Operation: 49+94=143, Resulting Numbers: [143]\n143,49 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 49:[45, 1], Operations: ['94-49=45', '36/36=1']\nExploring Operation: 45/1=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 45-1=44, Resulting Numbers: [44]\n44,49 unequal: No Solution\nExploring Operation: 45+1=46, Resulting Numbers: [46]\n46,49 unequal: No Solution\nExploring Operation: 45*1=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 49:[45, 0], Operations: ['94-49=45', '36-36=0']\nExploring Operation: 45+0=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 45*0=0, Resulting Numbers: [0]\n0,49 unequal: No Solution\nExploring Operation: 45-0=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 49:[46], Operations: ['94-49=45', '36/36=1', '45+1=46']\nMoving to Node #0,1,1,0\nCurrent State: 49:[45], Operations: ['36/36=1', '94*1=94', '94-49=45']\nMoving to Node #0,1,2,0\nCurrent State: 49:[45], Operations: ['36/36=1', '94/1=94', '94-49=45']\nMoving to Node #0,2,1,0\nCurrent State: 49:[45], Operations: ['94-49=45', '36-36=0', '45+0=45']\nMoving to Node #0,2,1,0\nCurrent State: 49:[45], Operations: ['94-49=45', '36-36=0', '45-0=45']\nMoving to Node #0,2,0,0\nCurrent State: 49:[45], Operations: ['94-49=45', '36/36=1', '45/1=45']\nMoving to Node #0,2,0,0\nCurrent State: 49:[45], Operations: ['94-49=45', '36/36=1', '45*1=45']\nMoving to Node #0,4,3,0\nCurrent State: 49:[45], Operations: ['94-36=58', '36+58=94', '94-49=45']\nMoving to Node #0,2,0,0\nCurrent State: 49:[44], Operations: ['94-49=45', '36/36=1', '45-1=44']\nMoving to Node #0,0,3\nCurrent State: 49:[36, 9], Operations: ['94-36=58', '58-49=9']\nExploring Operation: 36/9=4, Resulting Numbers: [4]\n4,49 unequal: No Solution\nExploring Operation: 36*9=324, Resulting Numbers: [324]\n324,49 unequal: No Solution\nExploring Operation: 36+9=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 36-9=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 49:[45], Operations: ['94-36=58', '58-49=9', '36+9=45']\nMoving to Node #0,0,3,0\nCurrent State: 49:[27], Operations: ['94-36=58', '58-49=9', '36-9=27']\nMoving to Node #0,4,4\nCurrent State: 49:[36, 9], Operations: ['94-36=58', '58-49=9']\nExploring Operation: 36-9=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 36/9=4, Resulting Numbers: [4]\n4,49 unequal: No Solution\nExploring Operation: 36+9=45, Resulting Numbers: [45]\n45,49 unequal: No Solution\nExploring Operation: 36*9=324, Resulting Numbers: [324]\n324,49 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 49:[94, 23], Operations: ['36+36=72', '72-49=23']\nExploring Operation: 94+23=117, Resulting Numbers: [117]\n117,49 unequal: No Solution\nExploring Operation: 94*23=2162, Resulting Numbers: [2162]\n2162,49 unequal: No Solution\nExploring Operation: 94-23=71, Resulting Numbers: [71]\n71,49 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 49:[4], Operations: ['94-36=58', '58-49=9', '36/9=4']\nMoving to Node #0,4,4,0\nCurrent State: 49:[45], Operations: ['94-36=58', '58-49=9', '36+9=45']\nMoving to Node #0,4,4,0\nCurrent State: 49:[27], Operations: ['94-36=58', '58-49=9', '36-9=27']\nMoving to Node #0,3,2,0\nCurrent State: 49:[71], Operations: ['36+36=72', '72-49=23', '94-23=71']\nMoving to Node #0,4,4,0\nCurrent State: 49:[4], Operations: ['94-36=58', '58-49=9', '36/9=4']\nMoving to Node #0,2,1,0\nCurrent State: 49:[0], Operations: ['94-49=45', '36-36=0', '45*0=0']\nMoving to Node #0,3,1\nCurrent State: 49:[94, 121], Operations: ['36+36=72', '49+72=121']\nExploring Operation: 121-94=27, Resulting Numbers: [27]\n27,49 unequal: No Solution\nExploring Operation: 94*121=11374, Resulting Numbers: [11374]\n11374,49 unequal: No Solution\nExploring Operation: 94+121=215, Resulting Numbers: [215]\n215,49 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 49:[72, 143], Operations: ['36+36=72', '49+94=143']\nExploring Operation: 143-72=71, Resulting Numbers: [71]\n71,49 unequal: No Solution\nExploring Operation: 72+143=215, Resulting Numbers: [215]\n215,49 unequal: No Solution\nExploring Operation: 72*143=10296, Resulting Numbers: [10296]\n10296,49 unequal: No Solution\nMoving to Node #0,2,4,0\nCurrent State: 49:[117], Operations: ['94-49=45', '36+36=72', '45+72=117']\nMoving to Node #0,2,3,0\nCurrent State: 49:[117], Operations: ['94-49=45', '36+45=81', '36+81=117']\nMoving to Node #0,3,3,0\nCurrent State: 49:[117], Operations: ['36+36=72', '94-49=45', '72+45=117']\nMoving to Node #0,3,1,0\nCurrent State: 49:[27], Operations: ['36+36=72', '49+72=121', '121-94=27']\nMoving to Node #0,3,0,0\nCurrent State: 49:[71], Operations: ['36+36=72', '49+94=143', '143-72=71']\nMoving to Node #0,3,2,0\nCurrent State: 49:[117], Operations: ['36+36=72', '72-49=23', '94+23=117']\nMoving to Node #0,2,2,0\nCurrent State: 49:[117], Operations: ['94-49=45', '36+45=81', '36+81=117']\nMoving to Node #0,1,0,0\nCurrent State: 49:[142], Operations: ['36/36=1', '94-1=93', '49+93=142']\nMoving to Node #0,1,3,0\nCurrent State: 49:[143], Operations: ['36/36=1', '49*1=49', '94+49=143']\nMoving to Node #0,4,0,0\nCurrent State: 49:[143], Operations: ['94-36=58', '36+49=85', '58+85=143']\nMoving to Node #0,1,4,0\nCurrent State: 49:[143], Operations: ['36/36=1', '49/1=49', '94+49=143']\nMoving to Node #0,0,0,0\nCurrent State: 49:[143], Operations: ['94-36=58', '49+36=85', '58+85=143']\nMoving to Node #0,4,3,0\nCurrent State: 49:[143], Operations: ['94-36=58', '36+58=94', '49+94=143']\nMoving to Node #0,0,4,0\nCurrent State: 49:[143], Operations: ['94-36=58', '36+58=94', '49+94=143']\nMoving to Node #0,1,2,0\nCurrent State: 49:[143], Operations: ['36/36=1', '94/1=94', '49+94=143']\nMoving to Node #0,1,1,0\nCurrent State: 49:[143], Operations: ['36/36=1', '94*1=94', '49+94=143']\nMoving to Node #0,3,0,0\nCurrent State: 49:[215], Operations: ['36+36=72', '49+94=143', '72+143=215']\nMoving to Node #0,3,1,0\nCurrent State: 49:[215], Operations: ['36+36=72', '49+72=121', '94+121=215']\nMoving to Node #0,0,3,0\nCurrent State: 49:[324], Operations: ['94-36=58', '58-49=9', '36*9=324']\nMoving to Node #0,4,4,0\nCurrent State: 49:[324], Operations: ['94-36=58', '58-49=9', '36*9=324']\nMoving to Node #0,0,1,0\nCurrent State: 49:[754], Operations: ['94-36=58', '49-36=13', '58*13=754']\nMoving to Node #0,4,1,0\nCurrent State: 49:[754], Operations: ['94-36=58', '49-36=13', '58*13=754']\nMoving to Node #0,4,2,0\nCurrent State: 49:[1078], Operations: ['94-36=58', '58-36=22', '49*22=1078']\nMoving to Node #0,0,2,0\nCurrent State: 49:[1078], Operations: ['94-36=58', '58-36=22', '49*22=1078']\nMoving to Node #0,3,4,0\nCurrent State: 49:[1078], Operations: ['36+36=72', '94-72=22', '49*22=1078']\nMoving to Node #0,3,2,0\nCurrent State: 49:[2162], Operations: ['36+36=72', '72-49=23', '94*23=2162']\nMoving to Node #0,2,3,0\nCurrent State: 49:[2916], Operations: ['94-49=45', '36+45=81', '36*81=2916']\nMoving to Node #0,2,2,0\nCurrent State: 49:[2916], Operations: ['94-49=45', '36+45=81', '36*81=2916']\nMoving to Node #0,2,4,0\nCurrent State: 49:[3240], Operations: ['94-49=45', '36+36=72', '45*72=3240']\nMoving to Node #0,3,3,0\nCurrent State: 49:[3240], Operations: ['36+36=72', '94-49=45', '72*45=3240']\nMoving to Node #0,1,0,0\nCurrent State: 49:[4557], Operations: ['36/36=1', '94-1=93', '49*93=4557']\nMoving to Node #0,1,2,0\nCurrent State: 49:[4606], Operations: ['36/36=1', '94/1=94', '49*94=4606']\nMoving to Node #0,1,4,0\nCurrent State: 49:[4606], Operations: ['36/36=1', '49/1=49', '94*49=4606']\nMoving to Node #0,1,1,0\nCurrent State: 49:[4606], Operations: ['36/36=1', '94*1=94', '49*94=4606']\nMoving to Node #0,4,3,0\nCurrent State: 49:[4606], Operations: ['94-36=58', '36+58=94', '49*94=4606']\nMoving to Node #0,0,4,0\nCurrent State: 49:[4606], Operations: ['94-36=58', '36+58=94', '49*94=4606']\nMoving to Node #0,1,3,0\nCurrent State: 49:[4606], Operations: ['36/36=1', '49*1=49', '94*49=4606']\nMoving to Node #0,4,0,0\nCurrent State: 49:[4930], Operations: ['94-36=58', '36+49=85', '58*85=4930']\nMoving to Node #0,0,0,0\nCurrent State: 49:[4930], Operations: ['94-36=58', '49+36=85', '58*85=4930']\nMoving to Node #0,3,0,0\nCurrent State: 49:[10296], Operations: ['36+36=72', '49+94=143', '72*143=10296']\nMoving to Node #0,3,1,0\nCurrent State: 49:[11374], Operations: ['36+36=72', '49+72=121', '94*121=11374']\nNo solution found.", "role": "assistant" } ]
[ 15, 48, 6, 87 ]
18
[ "15+48=63", "87-6=81", "81-63=18" ]
Current State: 18:[15, 48, 6, 87], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [15, 6, 39] Generated Node #0,0: 18:[15, 6, 39] Operation: 87-48=39 Moving to Node #0,0 Current State: 18:[15, 6, 39], Operations: ['87-48=39'] Exploring Operation: 39-15=24, Resulting Numbers: [6, 24] Generated Node #0,0,0: 18:[6, 24] Operation: 39-15=24 Moving to Node #0,0,0 Current State: 18:[6, 24], Operations: ['87-48=39', '39-15=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
0.996528
dfs
Current State: 18:[15, 48, 6, 87], Operations: [] Exploring Operation: 15+48=63, Resulting Numbers: [6, 87, 63] Generated Node #2: [6, 87, 63] from Operation: 15+48=63 Current State: 18:[6, 87, 63], Operations: ['15+48=63'] Exploring Operation: 87-6=81, Resulting Numbers: [63, 81] Generated Node #3: [63, 81] from Operation: 87-6=81 Current State: 18:[63, 81], Operations: ['15+48=63', '87-6=81'] Exploring Operation: 81-63=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
sum_heuristic
[ { "content": "Make 18 with the numbers [15, 48, 6, 87] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 18:[15, 48, 6, 87], Operations: []\nExploring Operation: 87-48=39, Resulting Numbers: [15, 6, 39]\nGenerated Node #0,0: 18:[15, 6, 39] Operation: 87-48=39\nMoving to Node #0,0\nCurrent State: 18:[15, 6, 39], Operations: ['87-48=39']\nExploring Operation: 39-15=24, Resulting Numbers: [6, 24]\nGenerated Node #0,0,0: 18:[6, 24] Operation: 39-15=24\nMoving to Node #0,0,0\nCurrent State: 18:[6, 24], Operations: ['87-48=39', '39-15=24']\nExploring Operation: 24-6=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached\n", "role": "assistant" } ]
[ 8, 34, 88, 17 ]
72
[ "8*34=272", "272/17=16", "88-16=72" ]
Current State: 72:[8, 34, 88, 17], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [34, 17, 11] Generated Node #0,0: 72:[34, 17, 11] Operation: 88/8=11 Exploring Operation: 88-8=80, Resulting Numbers: [34, 17, 80] Generated Node #0,1: 72:[34, 17, 80] Operation: 88-8=80 Exploring Operation: 34/17=2, Resulting Numbers: [8, 88, 2] Generated Node #0,2: 72:[8, 88, 2] Operation: 34/17=2 Exploring Operation: 88-17=71, Resulting Numbers: [8, 34, 71] Generated Node #0,3: 72:[8, 34, 71] Operation: 88-17=71 Moving to Node #0,3 Current State: 72:[8, 34, 71], Operations: ['88-17=71'] Exploring Operation: 8+71=79, Resulting Numbers: [34, 79] Generated Node #0,3,0: 72:[34, 79] Operation: 8+71=79 Exploring Operation: 71-34=37, Resulting Numbers: [8, 37] Generated Node #0,3,1: 72:[8, 37] Operation: 71-34=37 Exploring Operation: 8+34=42, Resulting Numbers: [71, 42] Generated Node #0,3,2: 72:[71, 42] Operation: 8+34=42 Exploring Operation: 34-8=26, Resulting Numbers: [71, 26] Generated Node #0,3,3: 72:[71, 26] Operation: 34-8=26 Moving to Node #0,0 Current State: 72:[34, 17, 11], Operations: ['88/8=11'] Exploring Operation: 34-11=23, Resulting Numbers: [17, 23] Generated Node #0,0,0: 72:[17, 23] Operation: 34-11=23 Exploring Operation: 17-11=6, Resulting Numbers: [34, 6] Generated Node #0,0,1: 72:[34, 6] Operation: 17-11=6 Exploring Operation: 34/17=2, Resulting Numbers: [11, 2] Generated Node #0,0,2: 72:[11, 2] Operation: 34/17=2 Exploring Operation: 34-17=17, Resulting Numbers: [11, 17] Generated Node #0,0,3: 72:[11, 17] Operation: 34-17=17 Moving to Node #0,1 Current State: 72:[34, 17, 80], Operations: ['88-8=80'] Exploring Operation: 34/17=2, Resulting Numbers: [80, 2] Generated Node #0,1,0: 72:[80, 2] Operation: 34/17=2 Exploring Operation: 80-17=63, Resulting Numbers: [34, 63] Generated Node #0,1,1: 72:[34, 63] Operation: 80-17=63 Exploring Operation: 80-34=46, Resulting Numbers: [17, 46] Generated Node #0,1,2: 72:[17, 46] Operation: 80-34=46 Exploring Operation: 34-17=17, Resulting Numbers: [80, 17] Generated Node #0,1,3: 72:[80, 17] Operation: 34-17=17 Moving to Node #0,2 Current State: 72:[8, 88, 2], Operations: ['34/17=2'] Exploring Operation: 88/8=11, Resulting Numbers: [2, 11] Generated Node #0,2,0: 72:[2, 11] Operation: 88/8=11 Exploring Operation: 88-2=86, Resulting Numbers: [8, 86] Generated Node #0,2,1: 72:[8, 86] Operation: 88-2=86 Exploring Operation: 88/2=44, Resulting Numbers: [8, 44] Generated Node #0,2,2: 72:[8, 44] Operation: 88/2=44 Exploring Operation: 88-8=80, Resulting Numbers: [2, 80] Generated Node #0,2,3: 72:[2, 80] Operation: 88-8=80 Moving to Node #0,3,1 Current State: 72:[8, 37], Operations: ['88-17=71', '71-34=37'] Exploring Operation: 8+37=45, Resulting Numbers: [45] 45,72 unequal: No Solution Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,72 unequal: No Solution Exploring Operation: 8*37=296, Resulting Numbers: [296] 296,72 unequal: No Solution Moving to Node #0,2,0 Current State: 72:[2, 11], Operations: ['34/17=2', '88/8=11'] Exploring Operation: 2+11=13, Resulting Numbers: [13] 13,72 unequal: No Solution Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,72 unequal: No Solution Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,72 unequal: No Solution Moving to Node #0,0,2 Current State: 72:[11, 2], Operations: ['88/8=11', '34/17=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,72 unequal: No Solution Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,72 unequal: No Solution Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,72 unequal: No Solution Moving to Node #0,0,1 Current State: 72:[34, 6], Operations: ['88/8=11', '17-11=6'] Exploring Operation: 34*6=204, Resulting Numbers: [204] 204,72 unequal: No Solution Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,72 unequal: No Solution Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,72 unequal: No Solution Moving to Node #0,2,0,0 Current State: 72:[9], Operations: ['34/17=2', '88/8=11', '11-2=9'] Moving to Node #0,0,2,0 Current State: 72:[9], Operations: ['88/8=11', '34/17=2', '11-2=9'] Moving to Node #0,0,2,0 Current State: 72:[13], Operations: ['88/8=11', '34/17=2', '11+2=13'] Moving to Node #0,2,0,0 Current State: 72:[13], Operations: ['34/17=2', '88/8=11', '2+11=13'] Moving to Node #0,0,2,0 Current State: 72:[22], Operations: ['88/8=11', '34/17=2', '11*2=22'] Moving to Node #0,0,0 Current State: 72:[17, 23], Operations: ['88/8=11', '34-11=23'] Exploring Operation: 23-17=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 17+23=40, Resulting Numbers: [40] 40,72 unequal: No Solution Exploring Operation: 17*23=391, Resulting Numbers: [391] 391,72 unequal: No Solution Moving to Node #0,2,0,0 Current State: 72:[22], Operations: ['34/17=2', '88/8=11', '2*11=22'] Moving to Node #0,0,3 Current State: 72:[11, 17], Operations: ['88/8=11', '34-17=17'] Exploring Operation: 17-11=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 11+17=28, Resulting Numbers: [28] 28,72 unequal: No Solution Exploring Operation: 11*17=187, Resulting Numbers: [187] 187,72 unequal: No Solution Moving to Node #0,0,0,0 Current State: 72:[6], Operations: ['88/8=11', '34-11=23', '23-17=6'] Moving to Node #0,0,3,0 Current State: 72:[6], Operations: ['88/8=11', '34-17=17', '17-11=6'] Moving to Node #0,3,3 Current State: 72:[71, 26], Operations: ['88-17=71', '34-8=26'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,72 unequal: No Solution Exploring Operation: 71+26=97, Resulting Numbers: [97] 97,72 unequal: No Solution Exploring Operation: 71*26=1846, Resulting Numbers: [1846] 1846,72 unequal: No Solution Moving to Node #0,0,3,0 Current State: 72:[28], Operations: ['88/8=11', '34-17=17', '11+17=28'] Moving to Node #0,0,1,0 Current State: 72:[40], Operations: ['88/8=11', '17-11=6', '34+6=40'] Moving to Node #0,0,0,0 Current State: 72:[40], Operations: ['88/8=11', '34-11=23', '17+23=40'] Moving to Node #0,0,1,0 Current State: 72:[28], Operations: ['88/8=11', '17-11=6', '34-6=28'] Moving to Node #0,3,1,0 Current State: 72:[29], Operations: ['88-17=71', '71-34=37', '37-8=29'] Moving to Node #0,3,2 Current State: 72:[71, 42], Operations: ['88-17=71', '8+34=42'] Exploring Operation: 71-42=29, Resulting Numbers: [29] 29,72 unequal: No Solution Exploring Operation: 71+42=113, Resulting Numbers: [113] 113,72 unequal: No Solution Exploring Operation: 71*42=2982, Resulting Numbers: [2982] 2982,72 unequal: No Solution Moving to Node #0,2,3 Current State: 72:[2, 80], Operations: ['34/17=2', '88-8=80'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,72 unequal: No Solution Exploring Operation: 2*80=160, Resulting Numbers: [160] 160,72 unequal: No Solution Exploring Operation: 2+80=82, Resulting Numbers: [82] 82,72 unequal: No Solution Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,72 unequal: No Solution Moving to Node #0,2,2 Current State: 72:[8, 44], Operations: ['34/17=2', '88/2=44'] Exploring Operation: 44-8=36, Resulting Numbers: [36] 36,72 unequal: No Solution Exploring Operation: 8+44=52, Resulting Numbers: [52] 52,72 unequal: No Solution Exploring Operation: 8*44=352, Resulting Numbers: [352] 352,72 unequal: No Solution Moving to Node #0,1,0 Current State: 72:[80, 2], Operations: ['88-8=80', '34/17=2'] Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,72 unequal: No Solution Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,72 unequal: No Solution Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,72 unequal: No Solution Exploring Operation: 80*2=160, Resulting Numbers: [160] 160,72 unequal: No Solution Moving to Node #0,2,2,0 Current State: 72:[36], Operations: ['34/17=2', '88/2=44', '44-8=36'] Moving to Node #0,1,0,0 Current State: 72:[40], Operations: ['88-8=80', '34/17=2', '80/2=40'] Moving to Node #0,2,3,0 Current State: 72:[40], Operations: ['34/17=2', '88-8=80', '80/2=40'] Moving to Node #0,3,2,0 Current State: 72:[29], Operations: ['88-17=71', '8+34=42', '71-42=29'] Moving to Node #0,1,0,0 Current State: 72:[78], Operations: ['88-8=80', '34/17=2', '80-2=78'] Moving to Node #0,2,3,0 Current State: 72:[78], Operations: ['34/17=2', '88-8=80', '80-2=78'] Moving to Node #0,3,1,0 Current State: 72:[45], Operations: ['88-17=71', '71-34=37', '8+37=45'] Moving to Node #0,1,3 Current State: 72:[80, 17], Operations: ['88-8=80', '34-17=17'] Exploring Operation: 80+17=97, Resulting Numbers: [97] 97,72 unequal: No Solution Exploring Operation: 80*17=1360, Resulting Numbers: [1360] 1360,72 unequal: No Solution Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,72 unequal: No Solution Moving to Node #0,3,3,0 Current State: 72:[45], Operations: ['88-17=71', '34-8=26', '71-26=45'] Moving to Node #0,3,0 Current State: 72:[34, 79], Operations: ['88-17=71', '8+71=79'] Exploring Operation: 79-34=45, Resulting Numbers: [45] 45,72 unequal: No Solution Exploring Operation: 34+79=113, Resulting Numbers: [113] 113,72 unequal: No Solution Exploring Operation: 34*79=2686, Resulting Numbers: [2686] 2686,72 unequal: No Solution Moving to Node #0,1,3,0 Current State: 72:[63], Operations: ['88-8=80', '34-17=17', '80-17=63'] Moving to Node #0,1,0,0 Current State: 72:[82], Operations: ['88-8=80', '34/17=2', '80+2=82'] Moving to Node #0,3,0,0 Current State: 72:[45], Operations: ['88-17=71', '8+71=79', '79-34=45'] Moving to Node #0,2,3,0 Current State: 72:[82], Operations: ['34/17=2', '88-8=80', '2+80=82'] Moving to Node #0,1,2 Current State: 72:[17, 46], Operations: ['88-8=80', '80-34=46'] Exploring Operation: 17+46=63, Resulting Numbers: [63] 63,72 unequal: No Solution Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,72 unequal: No Solution Exploring Operation: 17*46=782, Resulting Numbers: [782] 782,72 unequal: No Solution Moving to Node #0,1,1 Current State: 72:[34, 63], Operations: ['88-8=80', '80-17=63'] Exploring Operation: 34+63=97, Resulting Numbers: [97] 97,72 unequal: No Solution Exploring Operation: 63-34=29, Resulting Numbers: [29] 29,72 unequal: No Solution Exploring Operation: 34*63=2142, Resulting Numbers: [2142] 2142,72 unequal: No Solution Moving to Node #0,1,2,0 Current State: 72:[29], Operations: ['88-8=80', '80-34=46', '46-17=29'] Moving to Node #0,1,1,0 Current State: 72:[29], Operations: ['88-8=80', '80-17=63', '63-34=29'] Moving to Node #0,1,2,0 Current State: 72:[63], Operations: ['88-8=80', '80-34=46', '17+46=63'] Moving to Node #0,2,1 Current State: 72:[8, 86], Operations: ['34/17=2', '88-2=86'] Exploring Operation: 8+86=94, Resulting Numbers: [94] 94,72 unequal: No Solution Exploring Operation: 86-8=78, Resulting Numbers: [78] 78,72 unequal: No Solution Exploring Operation: 8*86=688, Resulting Numbers: [688] 688,72 unequal: No Solution Moving to Node #0,2,1,0 Current State: 72:[78], Operations: ['34/17=2', '88-2=86', '86-8=78'] Moving to Node #0,2,2,0 Current State: 72:[52], Operations: ['34/17=2', '88/2=44', '8+44=52'] Moving to Node #0,2,1,0 Current State: 72:[94], Operations: ['34/17=2', '88-2=86', '8+86=94'] Moving to Node #0,3,3,0 Current State: 72:[97], Operations: ['88-17=71', '34-8=26', '71+26=97'] Moving to Node #0,1,1,0 Current State: 72:[97], Operations: ['88-8=80', '80-17=63', '34+63=97'] Moving to Node #0,1,3,0 Current State: 72:[97], Operations: ['88-8=80', '34-17=17', '80+17=97'] Moving to Node #0,3,2,0 Current State: 72:[113], Operations: ['88-17=71', '8+34=42', '71+42=113'] Moving to Node #0,3,0,0 Current State: 72:[113], Operations: ['88-17=71', '8+71=79', '34+79=113'] Moving to Node #0,2,3,0 Current State: 72:[160], Operations: ['34/17=2', '88-8=80', '2*80=160'] Moving to Node #0,1,0,0 Current State: 72:[160], Operations: ['88-8=80', '34/17=2', '80*2=160'] Moving to Node #0,0,3,0 Current State: 72:[187], Operations: ['88/8=11', '34-17=17', '11*17=187'] Moving to Node #0,0,1,0 Current State: 72:[204], Operations: ['88/8=11', '17-11=6', '34*6=204'] Moving to Node #0,3,1,0 Current State: 72:[296], Operations: ['88-17=71', '71-34=37', '8*37=296'] Moving to Node #0,2,2,0 Current State: 72:[352], Operations: ['34/17=2', '88/2=44', '8*44=352'] Moving to Node #0,0,0,0 Current State: 72:[391], Operations: ['88/8=11', '34-11=23', '17*23=391'] Moving to Node #0,2,1,0 Current State: 72:[688], Operations: ['34/17=2', '88-2=86', '8*86=688'] Moving to Node #0,1,2,0 Current State: 72:[782], Operations: ['88-8=80', '80-34=46', '17*46=782'] Moving to Node #0,1,3,0 Current State: 72:[1360], Operations: ['88-8=80', '34-17=17', '80*17=1360'] Moving to Node #0,3,3,0 Current State: 72:[1846], Operations: ['88-17=71', '34-8=26', '71*26=1846'] Moving to Node #0,1,1,0 Current State: 72:[2142], Operations: ['88-8=80', '80-17=63', '34*63=2142'] Moving to Node #0,3,0,0 Current State: 72:[2686], Operations: ['88-17=71', '8+71=79', '34*79=2686'] Moving to Node #0,3,2,0 Current State: 72:[2982], Operations: ['88-17=71', '8+34=42', '71*42=2982'] No solution found.
0
bfs_4
Current State: 72:[8, 34, 88, 17], Operations: [] Exploring Operation: 8*34=272, Resulting Numbers: [88, 17, 272] Generated Node #2: [88, 17, 272] from Operation: 8*34=272 Current State: 72:[88, 17, 272], Operations: ['8*34=272'] Exploring Operation: 272/17=16, Resulting Numbers: [88, 16] Generated Node #3: [88, 16] from Operation: 272/17=16 Current State: 72:[88, 16], Operations: ['8*34=272', '272/17=16'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
mult_heuristic
[ { "content": "Make 72 with the numbers [8, 34, 88, 17] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 72:[8, 34, 88, 17], Operations: []\nExploring Operation: 88/8=11, Resulting Numbers: [34, 17, 11]\nGenerated Node #0,0: 72:[34, 17, 11] Operation: 88/8=11\nExploring Operation: 88-8=80, Resulting Numbers: [34, 17, 80]\nGenerated Node #0,1: 72:[34, 17, 80] Operation: 88-8=80\nExploring Operation: 34/17=2, Resulting Numbers: [8, 88, 2]\nGenerated Node #0,2: 72:[8, 88, 2] Operation: 34/17=2\nExploring Operation: 88-17=71, Resulting Numbers: [8, 34, 71]\nGenerated Node #0,3: 72:[8, 34, 71] Operation: 88-17=71\nMoving to Node #0,3\nCurrent State: 72:[8, 34, 71], Operations: ['88-17=71']\nExploring Operation: 8+71=79, Resulting Numbers: [34, 79]\nGenerated Node #0,3,0: 72:[34, 79] Operation: 8+71=79\nExploring Operation: 71-34=37, Resulting Numbers: [8, 37]\nGenerated Node #0,3,1: 72:[8, 37] Operation: 71-34=37\nExploring Operation: 8+34=42, Resulting Numbers: [71, 42]\nGenerated Node #0,3,2: 72:[71, 42] Operation: 8+34=42\nExploring Operation: 34-8=26, Resulting Numbers: [71, 26]\nGenerated Node #0,3,3: 72:[71, 26] Operation: 34-8=26\nMoving to Node #0,0\nCurrent State: 72:[34, 17, 11], Operations: ['88/8=11']\nExploring Operation: 34-11=23, Resulting Numbers: [17, 23]\nGenerated Node #0,0,0: 72:[17, 23] Operation: 34-11=23\nExploring Operation: 17-11=6, Resulting Numbers: [34, 6]\nGenerated Node #0,0,1: 72:[34, 6] Operation: 17-11=6\nExploring Operation: 34/17=2, Resulting Numbers: [11, 2]\nGenerated Node #0,0,2: 72:[11, 2] Operation: 34/17=2\nExploring Operation: 34-17=17, Resulting Numbers: [11, 17]\nGenerated Node #0,0,3: 72:[11, 17] Operation: 34-17=17\nMoving to Node #0,1\nCurrent State: 72:[34, 17, 80], Operations: ['88-8=80']\nExploring Operation: 34/17=2, Resulting Numbers: [80, 2]\nGenerated Node #0,1,0: 72:[80, 2] Operation: 34/17=2\nExploring Operation: 80-17=63, Resulting Numbers: [34, 63]\nGenerated Node #0,1,1: 72:[34, 63] Operation: 80-17=63\nExploring Operation: 80-34=46, Resulting Numbers: [17, 46]\nGenerated Node #0,1,2: 72:[17, 46] Operation: 80-34=46\nExploring Operation: 34-17=17, Resulting Numbers: [80, 17]\nGenerated Node #0,1,3: 72:[80, 17] Operation: 34-17=17\nMoving to Node #0,2\nCurrent State: 72:[8, 88, 2], Operations: ['34/17=2']\nExploring Operation: 88/8=11, Resulting Numbers: [2, 11]\nGenerated Node #0,2,0: 72:[2, 11] Operation: 88/8=11\nExploring Operation: 88-2=86, Resulting Numbers: [8, 86]\nGenerated Node #0,2,1: 72:[8, 86] Operation: 88-2=86\nExploring Operation: 88/2=44, Resulting Numbers: [8, 44]\nGenerated Node #0,2,2: 72:[8, 44] Operation: 88/2=44\nExploring Operation: 88-8=80, Resulting Numbers: [2, 80]\nGenerated Node #0,2,3: 72:[2, 80] Operation: 88-8=80\nMoving to Node #0,3,1\nCurrent State: 72:[8, 37], Operations: ['88-17=71', '71-34=37']\nExploring Operation: 8+37=45, Resulting Numbers: [45]\n45,72 unequal: No Solution\nExploring Operation: 37-8=29, Resulting Numbers: [29]\n29,72 unequal: No Solution\nExploring Operation: 8*37=296, Resulting Numbers: [296]\n296,72 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 72:[2, 11], Operations: ['34/17=2', '88/8=11']\nExploring Operation: 2+11=13, Resulting Numbers: [13]\n13,72 unequal: No Solution\nExploring Operation: 2*11=22, Resulting Numbers: [22]\n22,72 unequal: No Solution\nExploring Operation: 11-2=9, Resulting Numbers: [9]\n9,72 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 72:[11, 2], Operations: ['88/8=11', '34/17=2']\nExploring Operation: 11+2=13, Resulting Numbers: [13]\n13,72 unequal: No Solution\nExploring Operation: 11-2=9, Resulting Numbers: [9]\n9,72 unequal: No Solution\nExploring Operation: 11*2=22, Resulting Numbers: [22]\n22,72 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 72:[34, 6], Operations: ['88/8=11', '17-11=6']\nExploring Operation: 34*6=204, Resulting Numbers: [204]\n204,72 unequal: No Solution\nExploring Operation: 34+6=40, Resulting Numbers: [40]\n40,72 unequal: No Solution\nExploring Operation: 34-6=28, Resulting Numbers: [28]\n28,72 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 72:[9], Operations: ['34/17=2', '88/8=11', '11-2=9']\nMoving to Node #0,0,2,0\nCurrent State: 72:[9], Operations: ['88/8=11', '34/17=2', '11-2=9']\nMoving to Node #0,0,2,0\nCurrent State: 72:[13], Operations: ['88/8=11', '34/17=2', '11+2=13']\nMoving to Node #0,2,0,0\nCurrent State: 72:[13], Operations: ['34/17=2', '88/8=11', '2+11=13']\nMoving to Node #0,0,2,0\nCurrent State: 72:[22], Operations: ['88/8=11', '34/17=2', '11*2=22']\nMoving to Node #0,0,0\nCurrent State: 72:[17, 23], Operations: ['88/8=11', '34-11=23']\nExploring Operation: 23-17=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nExploring Operation: 17+23=40, Resulting Numbers: [40]\n40,72 unequal: No Solution\nExploring Operation: 17*23=391, Resulting Numbers: [391]\n391,72 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 72:[22], Operations: ['34/17=2', '88/8=11', '2*11=22']\nMoving to Node #0,0,3\nCurrent State: 72:[11, 17], Operations: ['88/8=11', '34-17=17']\nExploring Operation: 17-11=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nExploring Operation: 11+17=28, Resulting Numbers: [28]\n28,72 unequal: No Solution\nExploring Operation: 11*17=187, Resulting Numbers: [187]\n187,72 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 72:[6], Operations: ['88/8=11', '34-11=23', '23-17=6']\nMoving to Node #0,0,3,0\nCurrent State: 72:[6], Operations: ['88/8=11', '34-17=17', '17-11=6']\nMoving to Node #0,3,3\nCurrent State: 72:[71, 26], Operations: ['88-17=71', '34-8=26']\nExploring Operation: 71-26=45, Resulting Numbers: [45]\n45,72 unequal: No Solution\nExploring Operation: 71+26=97, Resulting Numbers: [97]\n97,72 unequal: No Solution\nExploring Operation: 71*26=1846, Resulting Numbers: [1846]\n1846,72 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 72:[28], Operations: ['88/8=11', '34-17=17', '11+17=28']\nMoving to Node #0,0,1,0\nCurrent State: 72:[40], Operations: ['88/8=11', '17-11=6', '34+6=40']\nMoving to Node #0,0,0,0\nCurrent State: 72:[40], Operations: ['88/8=11', '34-11=23', '17+23=40']\nMoving to Node #0,0,1,0\nCurrent State: 72:[28], Operations: ['88/8=11', '17-11=6', '34-6=28']\nMoving to Node #0,3,1,0\nCurrent State: 72:[29], Operations: ['88-17=71', '71-34=37', '37-8=29']\nMoving to Node #0,3,2\nCurrent State: 72:[71, 42], Operations: ['88-17=71', '8+34=42']\nExploring Operation: 71-42=29, Resulting Numbers: [29]\n29,72 unequal: No Solution\nExploring Operation: 71+42=113, Resulting Numbers: [113]\n113,72 unequal: No Solution\nExploring Operation: 71*42=2982, Resulting Numbers: [2982]\n2982,72 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 72:[2, 80], Operations: ['34/17=2', '88-8=80']\nExploring Operation: 80/2=40, Resulting Numbers: [40]\n40,72 unequal: No Solution\nExploring Operation: 2*80=160, Resulting Numbers: [160]\n160,72 unequal: No Solution\nExploring Operation: 2+80=82, Resulting Numbers: [82]\n82,72 unequal: No Solution\nExploring Operation: 80-2=78, Resulting Numbers: [78]\n78,72 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 72:[8, 44], Operations: ['34/17=2', '88/2=44']\nExploring Operation: 44-8=36, Resulting Numbers: [36]\n36,72 unequal: No Solution\nExploring Operation: 8+44=52, Resulting Numbers: [52]\n52,72 unequal: No Solution\nExploring Operation: 8*44=352, Resulting Numbers: [352]\n352,72 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 72:[80, 2], Operations: ['88-8=80', '34/17=2']\nExploring Operation: 80+2=82, Resulting Numbers: [82]\n82,72 unequal: No Solution\nExploring Operation: 80/2=40, Resulting Numbers: [40]\n40,72 unequal: No Solution\nExploring Operation: 80-2=78, Resulting Numbers: [78]\n78,72 unequal: No Solution\nExploring Operation: 80*2=160, Resulting Numbers: [160]\n160,72 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 72:[36], Operations: ['34/17=2', '88/2=44', '44-8=36']\nMoving to Node #0,1,0,0\nCurrent State: 72:[40], Operations: ['88-8=80', '34/17=2', '80/2=40']\nMoving to Node #0,2,3,0\nCurrent State: 72:[40], Operations: ['34/17=2', '88-8=80', '80/2=40']\nMoving to Node #0,3,2,0\nCurrent State: 72:[29], Operations: ['88-17=71', '8+34=42', '71-42=29']\nMoving to Node #0,1,0,0\nCurrent State: 72:[78], Operations: ['88-8=80', '34/17=2', '80-2=78']\nMoving to Node #0,2,3,0\nCurrent State: 72:[78], Operations: ['34/17=2', '88-8=80', '80-2=78']\nMoving to Node #0,3,1,0\nCurrent State: 72:[45], Operations: ['88-17=71', '71-34=37', '8+37=45']\nMoving to Node #0,1,3\nCurrent State: 72:[80, 17], Operations: ['88-8=80', '34-17=17']\nExploring Operation: 80+17=97, Resulting Numbers: [97]\n97,72 unequal: No Solution\nExploring Operation: 80*17=1360, Resulting Numbers: [1360]\n1360,72 unequal: No Solution\nExploring Operation: 80-17=63, Resulting Numbers: [63]\n63,72 unequal: No Solution\nMoving to Node #0,3,3,0\nCurrent State: 72:[45], Operations: ['88-17=71', '34-8=26', '71-26=45']\nMoving to Node #0,3,0\nCurrent State: 72:[34, 79], Operations: ['88-17=71', '8+71=79']\nExploring Operation: 79-34=45, Resulting Numbers: [45]\n45,72 unequal: No Solution\nExploring Operation: 34+79=113, Resulting Numbers: [113]\n113,72 unequal: No Solution\nExploring Operation: 34*79=2686, Resulting Numbers: [2686]\n2686,72 unequal: No Solution\nMoving to Node #0,1,3,0\nCurrent State: 72:[63], Operations: ['88-8=80', '34-17=17', '80-17=63']\nMoving to Node #0,1,0,0\nCurrent State: 72:[82], Operations: ['88-8=80', '34/17=2', '80+2=82']\nMoving to Node #0,3,0,0\nCurrent State: 72:[45], Operations: ['88-17=71', '8+71=79', '79-34=45']\nMoving to Node #0,2,3,0\nCurrent State: 72:[82], Operations: ['34/17=2', '88-8=80', '2+80=82']\nMoving to Node #0,1,2\nCurrent State: 72:[17, 46], Operations: ['88-8=80', '80-34=46']\nExploring Operation: 17+46=63, Resulting Numbers: [63]\n63,72 unequal: No Solution\nExploring Operation: 46-17=29, Resulting Numbers: [29]\n29,72 unequal: No Solution\nExploring Operation: 17*46=782, Resulting Numbers: [782]\n782,72 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 72:[34, 63], Operations: ['88-8=80', '80-17=63']\nExploring Operation: 34+63=97, Resulting Numbers: [97]\n97,72 unequal: No Solution\nExploring Operation: 63-34=29, Resulting Numbers: [29]\n29,72 unequal: No Solution\nExploring Operation: 34*63=2142, Resulting Numbers: [2142]\n2142,72 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 72:[29], Operations: ['88-8=80', '80-34=46', '46-17=29']\nMoving to Node #0,1,1,0\nCurrent State: 72:[29], Operations: ['88-8=80', '80-17=63', '63-34=29']\nMoving to Node #0,1,2,0\nCurrent State: 72:[63], Operations: ['88-8=80', '80-34=46', '17+46=63']\nMoving to Node #0,2,1\nCurrent State: 72:[8, 86], Operations: ['34/17=2', '88-2=86']\nExploring Operation: 8+86=94, Resulting Numbers: [94]\n94,72 unequal: No Solution\nExploring Operation: 86-8=78, Resulting Numbers: [78]\n78,72 unequal: No Solution\nExploring Operation: 8*86=688, Resulting Numbers: [688]\n688,72 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 72:[78], Operations: ['34/17=2', '88-2=86', '86-8=78']\nMoving to Node #0,2,2,0\nCurrent State: 72:[52], Operations: ['34/17=2', '88/2=44', '8+44=52']\nMoving to Node #0,2,1,0\nCurrent State: 72:[94], Operations: ['34/17=2', '88-2=86', '8+86=94']\nMoving to Node #0,3,3,0\nCurrent State: 72:[97], Operations: ['88-17=71', '34-8=26', '71+26=97']\nMoving to Node #0,1,1,0\nCurrent State: 72:[97], Operations: ['88-8=80', '80-17=63', '34+63=97']\nMoving to Node #0,1,3,0\nCurrent State: 72:[97], Operations: ['88-8=80', '34-17=17', '80+17=97']\nMoving to Node #0,3,2,0\nCurrent State: 72:[113], Operations: ['88-17=71', '8+34=42', '71+42=113']\nMoving to Node #0,3,0,0\nCurrent State: 72:[113], Operations: ['88-17=71', '8+71=79', '34+79=113']\nMoving to Node #0,2,3,0\nCurrent State: 72:[160], Operations: ['34/17=2', '88-8=80', '2*80=160']\nMoving to Node #0,1,0,0\nCurrent State: 72:[160], Operations: ['88-8=80', '34/17=2', '80*2=160']\nMoving to Node #0,0,3,0\nCurrent State: 72:[187], Operations: ['88/8=11', '34-17=17', '11*17=187']\nMoving to Node #0,0,1,0\nCurrent State: 72:[204], Operations: ['88/8=11', '17-11=6', '34*6=204']\nMoving to Node #0,3,1,0\nCurrent State: 72:[296], Operations: ['88-17=71', '71-34=37', '8*37=296']\nMoving to Node #0,2,2,0\nCurrent State: 72:[352], Operations: ['34/17=2', '88/2=44', '8*44=352']\nMoving to Node #0,0,0,0\nCurrent State: 72:[391], Operations: ['88/8=11', '34-11=23', '17*23=391']\nMoving to Node #0,2,1,0\nCurrent State: 72:[688], Operations: ['34/17=2', '88-2=86', '8*86=688']\nMoving to Node #0,1,2,0\nCurrent State: 72:[782], Operations: ['88-8=80', '80-34=46', '17*46=782']\nMoving to Node #0,1,3,0\nCurrent State: 72:[1360], Operations: ['88-8=80', '34-17=17', '80*17=1360']\nMoving to Node #0,3,3,0\nCurrent State: 72:[1846], Operations: ['88-17=71', '34-8=26', '71*26=1846']\nMoving to Node #0,1,1,0\nCurrent State: 72:[2142], Operations: ['88-8=80', '80-17=63', '34*63=2142']\nMoving to Node #0,3,0,0\nCurrent State: 72:[2686], Operations: ['88-17=71', '8+71=79', '34*79=2686']\nMoving to Node #0,3,2,0\nCurrent State: 72:[2982], Operations: ['88-17=71', '8+34=42', '71*42=2982']\nNo solution found.", "role": "assistant" } ]
[ 43, 48, 45, 66 ]
63
[ "48-45=3", "43*3=129", "129-66=63" ]
Current State: 63:[43, 48, 45, 66], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [43, 66, 3] Generated Node #0,0: 63:[43, 66, 3] Operation: 48-45=3 Exploring Operation: 45-43=2, Resulting Numbers: [48, 66, 2] Generated Node #0,1: 63:[48, 66, 2] Operation: 45-43=2 Exploring Operation: 48-43=5, Resulting Numbers: [45, 66, 5] Generated Node #0,2: 63:[45, 66, 5] Operation: 48-43=5 Moving to Node #0,1 Current State: 63:[48, 66, 2], Operations: ['45-43=2'] Exploring Operation: 66-48=18, Resulting Numbers: [2, 18] Generated Node #0,1,0: 63:[2, 18] Operation: 66-48=18 Exploring Operation: 48+2=50, Resulting Numbers: [66, 50] Generated Node #0,1,1: 63:[66, 50] Operation: 48+2=50 Exploring Operation: 48/2=24, Resulting Numbers: [66, 24] Generated Node #0,1,2: 63:[66, 24] Operation: 48/2=24 Moving to Node #0,0 Current State: 63:[43, 66, 3], Operations: ['48-45=3'] Exploring Operation: 66-43=23, Resulting Numbers: [3, 23] Generated Node #0,0,0: 63:[3, 23] Operation: 66-43=23 Exploring Operation: 43+3=46, Resulting Numbers: [66, 46] Generated Node #0,0,1: 63:[66, 46] Operation: 43+3=46 Exploring Operation: 66-3=63, Resulting Numbers: [43, 63] Generated Node #0,0,2: 63:[43, 63] Operation: 66-3=63 Moving to Node #0,2 Current State: 63:[45, 66, 5], Operations: ['48-43=5'] Exploring Operation: 66-45=21, Resulting Numbers: [5, 21] Generated Node #0,2,0: 63:[5, 21] Operation: 66-45=21 Exploring Operation: 45+5=50, Resulting Numbers: [66, 50] Generated Node #0,2,1: 63:[66, 50] Operation: 45+5=50 Exploring Operation: 45/5=9, Resulting Numbers: [66, 9] Generated Node #0,2,2: 63:[66, 9] Operation: 45/5=9 Moving to Node #0,0,0 Current State: 63:[3, 23], Operations: ['48-45=3', '66-43=23'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,63 unequal: No Solution Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,63 unequal: No Solution Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,2,0 Current State: 63:[5, 21], Operations: ['48-43=5', '66-45=21'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,63 unequal: No Solution Exploring Operation: 5*21=105, Resulting Numbers: [105] 105,63 unequal: No Solution Exploring Operation: 5+21=26, Resulting Numbers: [26] 26,63 unequal: No Solution Moving to Node #0,2,2 Current State: 63:[66, 9], Operations: ['48-43=5', '45/5=9'] Exploring Operation: 66*9=594, Resulting Numbers: [594] 594,63 unequal: No Solution Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,63 unequal: No Solution Exploring Operation: 66+9=75, Resulting Numbers: [75] 75,63 unequal: No Solution Moving to Node #0,0,0,0 Current State: 63:[20], Operations: ['48-45=3', '66-43=23', '23-3=20'] Moving to Node #0,1,0 Current State: 63:[2, 18], Operations: ['45-43=2', '66-48=18'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,63 unequal: No Solution Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,63 unequal: No Solution Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,63 unequal: No Solution Moving to Node #0,0,0,0 Current State: 63:[26], Operations: ['48-45=3', '66-43=23', '3+23=26'] Moving to Node #0,1,0,0 Current State: 63:[9], Operations: ['45-43=2', '66-48=18', '18/2=9'] Moving to Node #0,1,0,0 Current State: 63:[20], Operations: ['45-43=2', '66-48=18', '2+18=20'] Moving to Node #0,2,0,0 Current State: 63:[16], Operations: ['48-43=5', '66-45=21', '21-5=16'] Moving to Node #0,1,0,0 Current State: 63:[16], Operations: ['45-43=2', '66-48=18', '18-2=16'] Moving to Node #0,2,0,0 Current State: 63:[26], Operations: ['48-43=5', '66-45=21', '5+21=26'] Moving to Node #0,2,2,0 Current State: 63:[57], Operations: ['48-43=5', '45/5=9', '66-9=57'] Moving to Node #0,1,2 Current State: 63:[66, 24], Operations: ['45-43=2', '48/2=24'] Exploring Operation: 66*24=1584, Resulting Numbers: [1584] 1584,63 unequal: No Solution Exploring Operation: 66+24=90, Resulting Numbers: [90] 90,63 unequal: No Solution Exploring Operation: 66-24=42, Resulting Numbers: [42] 42,63 unequal: No Solution Moving to Node #0,0,0,0 Current State: 63:[69], Operations: ['48-45=3', '66-43=23', '3*23=69'] Moving to Node #0,2,2,0 Current State: 63:[75], Operations: ['48-43=5', '45/5=9', '66+9=75'] Moving to Node #0,1,1 Current State: 63:[66, 50], Operations: ['45-43=2', '48+2=50'] Exploring Operation: 66+50=116, Resulting Numbers: [116] 116,63 unequal: No Solution Exploring Operation: 66*50=3300, Resulting Numbers: [3300] 3300,63 unequal: No Solution Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,63 unequal: No Solution Moving to Node #0,2,1 Current State: 63:[66, 50], Operations: ['48-43=5', '45+5=50'] Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,63 unequal: No Solution Exploring Operation: 66+50=116, Resulting Numbers: [116] 116,63 unequal: No Solution Exploring Operation: 66*50=3300, Resulting Numbers: [3300] 3300,63 unequal: No Solution Moving to Node #0,0,2 Current State: 63:[43, 63], Operations: ['48-45=3', '66-3=63'] Exploring Operation: 43+63=106, Resulting Numbers: [106] 106,63 unequal: No Solution Exploring Operation: 43*63=2709, Resulting Numbers: [2709] 2709,63 unequal: No Solution Exploring Operation: 63-43=20, Resulting Numbers: [20] 20,63 unequal: No Solution Moving to Node #0,0,2,0 Current State: 63:[20], Operations: ['48-45=3', '66-3=63', '63-43=20'] Moving to Node #0,1,1,0 Current State: 63:[16], Operations: ['45-43=2', '48+2=50', '66-50=16'] Moving to Node #0,2,1,0 Current State: 63:[16], Operations: ['48-43=5', '45+5=50', '66-50=16'] Moving to Node #0,0,1 Current State: 63:[66, 46], Operations: ['48-45=3', '43+3=46'] Exploring Operation: 66+46=112, Resulting Numbers: [112] 112,63 unequal: No Solution Exploring Operation: 66-46=20, Resulting Numbers: [20] 20,63 unequal: No Solution Exploring Operation: 66*46=3036, Resulting Numbers: [3036] 3036,63 unequal: No Solution Moving to Node #0,1,2,0 Current State: 63:[42], Operations: ['45-43=2', '48/2=24', '66-24=42'] Moving to Node #0,1,2,0 Current State: 63:[90], Operations: ['45-43=2', '48/2=24', '66+24=90'] Moving to Node #0,0,1,0 Current State: 63:[20], Operations: ['48-45=3', '43+3=46', '66-46=20'] Moving to Node #0,2,0,0 Current State: 63:[105], Operations: ['48-43=5', '66-45=21', '5*21=105'] Moving to Node #0,0,2,0 Current State: 63:[106], Operations: ['48-45=3', '66-3=63', '43+63=106'] Moving to Node #0,0,1,0 Current State: 63:[112], Operations: ['48-45=3', '43+3=46', '66+46=112'] Moving to Node #0,2,1,0 Current State: 63:[116], Operations: ['48-43=5', '45+5=50', '66+50=116'] Moving to Node #0,1,1,0 Current State: 63:[116], Operations: ['45-43=2', '48+2=50', '66+50=116'] Moving to Node #0,2,2,0 Current State: 63:[594], Operations: ['48-43=5', '45/5=9', '66*9=594'] Moving to Node #0,1,2,0 Current State: 63:[1584], Operations: ['45-43=2', '48/2=24', '66*24=1584'] Moving to Node #0,0,2,0 Current State: 63:[2709], Operations: ['48-45=3', '66-3=63', '43*63=2709'] Moving to Node #0,0,1,0 Current State: 63:[3036], Operations: ['48-45=3', '43+3=46', '66*46=3036'] Moving to Node #0,1,1,0 Current State: 63:[3300], Operations: ['45-43=2', '48+2=50', '66*50=3300'] Moving to Node #0,2,1,0 Current State: 63:[3300], Operations: ['48-43=5', '45+5=50', '66*50=3300'] No solution found.
0
bfs_3
Current State: 63:[43, 48, 45, 66], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [43, 66, 3] Generated Node #2: [43, 66, 3] from Operation: 48-45=3 Current State: 63:[43, 66, 3], Operations: ['48-45=3'] Exploring Operation: 43*3=129, Resulting Numbers: [66, 129] Generated Node #3: [66, 129] from Operation: 43*3=129 Current State: 63:[66, 129], Operations: ['48-45=3', '43*3=129'] Exploring Operation: 129-66=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
mult_heuristic
[ { "content": "Make 63 with the numbers [43, 48, 45, 66] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 63:[43, 48, 45, 66], Operations: []\nExploring Operation: 48-45=3, Resulting Numbers: [43, 66, 3]\nGenerated Node #0,0: 63:[43, 66, 3] Operation: 48-45=3\nExploring Operation: 45-43=2, Resulting Numbers: [48, 66, 2]\nGenerated Node #0,1: 63:[48, 66, 2] Operation: 45-43=2\nExploring Operation: 48-43=5, Resulting Numbers: [45, 66, 5]\nGenerated Node #0,2: 63:[45, 66, 5] Operation: 48-43=5\nMoving to Node #0,1\nCurrent State: 63:[48, 66, 2], Operations: ['45-43=2']\nExploring Operation: 66-48=18, Resulting Numbers: [2, 18]\nGenerated Node #0,1,0: 63:[2, 18] Operation: 66-48=18\nExploring Operation: 48+2=50, Resulting Numbers: [66, 50]\nGenerated Node #0,1,1: 63:[66, 50] Operation: 48+2=50\nExploring Operation: 48/2=24, Resulting Numbers: [66, 24]\nGenerated Node #0,1,2: 63:[66, 24] Operation: 48/2=24\nMoving to Node #0,0\nCurrent State: 63:[43, 66, 3], Operations: ['48-45=3']\nExploring Operation: 66-43=23, Resulting Numbers: [3, 23]\nGenerated Node #0,0,0: 63:[3, 23] Operation: 66-43=23\nExploring Operation: 43+3=46, Resulting Numbers: [66, 46]\nGenerated Node #0,0,1: 63:[66, 46] Operation: 43+3=46\nExploring Operation: 66-3=63, Resulting Numbers: [43, 63]\nGenerated Node #0,0,2: 63:[43, 63] Operation: 66-3=63\nMoving to Node #0,2\nCurrent State: 63:[45, 66, 5], Operations: ['48-43=5']\nExploring Operation: 66-45=21, Resulting Numbers: [5, 21]\nGenerated Node #0,2,0: 63:[5, 21] Operation: 66-45=21\nExploring Operation: 45+5=50, Resulting Numbers: [66, 50]\nGenerated Node #0,2,1: 63:[66, 50] Operation: 45+5=50\nExploring Operation: 45/5=9, Resulting Numbers: [66, 9]\nGenerated Node #0,2,2: 63:[66, 9] Operation: 45/5=9\nMoving to Node #0,0,0\nCurrent State: 63:[3, 23], Operations: ['48-45=3', '66-43=23']\nExploring Operation: 3+23=26, Resulting Numbers: [26]\n26,63 unequal: No Solution\nExploring Operation: 3*23=69, Resulting Numbers: [69]\n69,63 unequal: No Solution\nExploring Operation: 23-3=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 63:[5, 21], Operations: ['48-43=5', '66-45=21']\nExploring Operation: 21-5=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nExploring Operation: 5*21=105, Resulting Numbers: [105]\n105,63 unequal: No Solution\nExploring Operation: 5+21=26, Resulting Numbers: [26]\n26,63 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 63:[66, 9], Operations: ['48-43=5', '45/5=9']\nExploring Operation: 66*9=594, Resulting Numbers: [594]\n594,63 unequal: No Solution\nExploring Operation: 66-9=57, Resulting Numbers: [57]\n57,63 unequal: No Solution\nExploring Operation: 66+9=75, Resulting Numbers: [75]\n75,63 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 63:[20], Operations: ['48-45=3', '66-43=23', '23-3=20']\nMoving to Node #0,1,0\nCurrent State: 63:[2, 18], Operations: ['45-43=2', '66-48=18']\nExploring Operation: 18-2=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nExploring Operation: 2+18=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nExploring Operation: 18/2=9, Resulting Numbers: [9]\n9,63 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 63:[26], Operations: ['48-45=3', '66-43=23', '3+23=26']\nMoving to Node #0,1,0,0\nCurrent State: 63:[9], Operations: ['45-43=2', '66-48=18', '18/2=9']\nMoving to Node #0,1,0,0\nCurrent State: 63:[20], Operations: ['45-43=2', '66-48=18', '2+18=20']\nMoving to Node #0,2,0,0\nCurrent State: 63:[16], Operations: ['48-43=5', '66-45=21', '21-5=16']\nMoving to Node #0,1,0,0\nCurrent State: 63:[16], Operations: ['45-43=2', '66-48=18', '18-2=16']\nMoving to Node #0,2,0,0\nCurrent State: 63:[26], Operations: ['48-43=5', '66-45=21', '5+21=26']\nMoving to Node #0,2,2,0\nCurrent State: 63:[57], Operations: ['48-43=5', '45/5=9', '66-9=57']\nMoving to Node #0,1,2\nCurrent State: 63:[66, 24], Operations: ['45-43=2', '48/2=24']\nExploring Operation: 66*24=1584, Resulting Numbers: [1584]\n1584,63 unequal: No Solution\nExploring Operation: 66+24=90, Resulting Numbers: [90]\n90,63 unequal: No Solution\nExploring Operation: 66-24=42, Resulting Numbers: [42]\n42,63 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 63:[69], Operations: ['48-45=3', '66-43=23', '3*23=69']\nMoving to Node #0,2,2,0\nCurrent State: 63:[75], Operations: ['48-43=5', '45/5=9', '66+9=75']\nMoving to Node #0,1,1\nCurrent State: 63:[66, 50], Operations: ['45-43=2', '48+2=50']\nExploring Operation: 66+50=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nExploring Operation: 66*50=3300, Resulting Numbers: [3300]\n3300,63 unequal: No Solution\nExploring Operation: 66-50=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 63:[66, 50], Operations: ['48-43=5', '45+5=50']\nExploring Operation: 66-50=16, Resulting Numbers: [16]\n16,63 unequal: No Solution\nExploring Operation: 66+50=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nExploring Operation: 66*50=3300, Resulting Numbers: [3300]\n3300,63 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 63:[43, 63], Operations: ['48-45=3', '66-3=63']\nExploring Operation: 43+63=106, Resulting Numbers: [106]\n106,63 unequal: No Solution\nExploring Operation: 43*63=2709, Resulting Numbers: [2709]\n2709,63 unequal: No Solution\nExploring Operation: 63-43=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 63:[20], Operations: ['48-45=3', '66-3=63', '63-43=20']\nMoving to Node #0,1,1,0\nCurrent State: 63:[16], Operations: ['45-43=2', '48+2=50', '66-50=16']\nMoving to Node #0,2,1,0\nCurrent State: 63:[16], Operations: ['48-43=5', '45+5=50', '66-50=16']\nMoving to Node #0,0,1\nCurrent State: 63:[66, 46], Operations: ['48-45=3', '43+3=46']\nExploring Operation: 66+46=112, Resulting Numbers: [112]\n112,63 unequal: No Solution\nExploring Operation: 66-46=20, Resulting Numbers: [20]\n20,63 unequal: No Solution\nExploring Operation: 66*46=3036, Resulting Numbers: [3036]\n3036,63 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 63:[42], Operations: ['45-43=2', '48/2=24', '66-24=42']\nMoving to Node #0,1,2,0\nCurrent State: 63:[90], Operations: ['45-43=2', '48/2=24', '66+24=90']\nMoving to Node #0,0,1,0\nCurrent State: 63:[20], Operations: ['48-45=3', '43+3=46', '66-46=20']\nMoving to Node #0,2,0,0\nCurrent State: 63:[105], Operations: ['48-43=5', '66-45=21', '5*21=105']\nMoving to Node #0,0,2,0\nCurrent State: 63:[106], Operations: ['48-45=3', '66-3=63', '43+63=106']\nMoving to Node #0,0,1,0\nCurrent State: 63:[112], Operations: ['48-45=3', '43+3=46', '66+46=112']\nMoving to Node #0,2,1,0\nCurrent State: 63:[116], Operations: ['48-43=5', '45+5=50', '66+50=116']\nMoving to Node #0,1,1,0\nCurrent State: 63:[116], Operations: ['45-43=2', '48+2=50', '66+50=116']\nMoving to Node #0,2,2,0\nCurrent State: 63:[594], Operations: ['48-43=5', '45/5=9', '66*9=594']\nMoving to Node #0,1,2,0\nCurrent State: 63:[1584], Operations: ['45-43=2', '48/2=24', '66*24=1584']\nMoving to Node #0,0,2,0\nCurrent State: 63:[2709], Operations: ['48-45=3', '66-3=63', '43*63=2709']\nMoving to Node #0,0,1,0\nCurrent State: 63:[3036], Operations: ['48-45=3', '43+3=46', '66*46=3036']\nMoving to Node #0,1,1,0\nCurrent State: 63:[3300], Operations: ['45-43=2', '48+2=50', '66*50=3300']\nMoving to Node #0,2,1,0\nCurrent State: 63:[3300], Operations: ['48-43=5', '45+5=50', '66*50=3300']\nNo solution found.", "role": "assistant" } ]
[ 30, 31, 68, 2 ]
100
[ "68-30=38", "31*2=62", "38+62=100" ]
Current State: 100:[30, 31, 68, 2], Operations: [] Exploring Operation: 31*2=62, Resulting Numbers: [30, 68, 62] Generated Node #0,0: 100:[30, 68, 62] Operation: 31*2=62 Moving to Node #0,0 Current State: 100:[30, 68, 62], Operations: ['31*2=62'] Exploring Operation: 30+68=98, Resulting Numbers: [62, 98] Generated Node #0,0,0: 100:[62, 98] Operation: 30+68=98 Moving to Node #0,0,0 Current State: 100:[62, 98], Operations: ['31*2=62', '30+68=98'] Exploring Operation: 62+98=160, Resulting Numbers: [160] 160,100 unequal: No Solution Moving to Node #0,0,0 Current State: 100:[62, 98], Operations: ['31*2=62', '30+68=98'] Exploring Operation: 98-62=36, Resulting Numbers: [36] 36,100 unequal: No Solution Moving to Node #0,0 Current State: 100:[30, 68, 62], Operations: ['31*2=62'] Exploring Operation: 30+62=92, Resulting Numbers: [68, 92] Generated Node #0,0,1: 100:[68, 92] Operation: 30+62=92 Moving to Node #0,0,1 Current State: 100:[68, 92], Operations: ['31*2=62', '30+62=92'] Exploring Operation: 68+92=160, Resulting Numbers: [160] 160,100 unequal: No Solution Moving to Node #0,0,1 Current State: 100:[68, 92], Operations: ['31*2=62', '30+62=92'] Exploring Operation: 92-68=24, Resulting Numbers: [24] 24,100 unequal: No Solution Moving to Node #0,0 Current State: 100:[30, 68, 62], Operations: ['31*2=62'] Exploring Operation: 68-30=38, Resulting Numbers: [62, 38] Generated Node #0,0,2: 100:[62, 38] Operation: 68-30=38 Moving to Node #0,0,2 Current State: 100:[62, 38], Operations: ['31*2=62', '68-30=38'] Exploring Operation: 62+38=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
0.991319
dfs
Current State: 100:[30, 31, 68, 2], Operations: [] Exploring Operation: 68-30=38, Resulting Numbers: [31, 2, 38] Generated Node #2: [31, 2, 38] from Operation: 68-30=38 Current State: 100:[31, 2, 38], Operations: ['68-30=38'] Exploring Operation: 31*2=62, Resulting Numbers: [38, 62] Generated Node #3: [38, 62] from Operation: 31*2=62 Current State: 100:[38, 62], Operations: ['68-30=38', '31*2=62'] Exploring Operation: 38+62=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
sum_heuristic
[ { "content": "Make 100 with the numbers [30, 31, 68, 2] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 100:[30, 31, 68, 2], Operations: []\nExploring Operation: 31*2=62, Resulting Numbers: [30, 68, 62]\nGenerated Node #0,0: 100:[30, 68, 62] Operation: 31*2=62\nMoving to Node #0,0\nCurrent State: 100:[30, 68, 62], Operations: ['31*2=62']\nExploring Operation: 30+68=98, Resulting Numbers: [62, 98]\nGenerated Node #0,0,0: 100:[62, 98] Operation: 30+68=98\nMoving to Node #0,0,0\nCurrent State: 100:[62, 98], Operations: ['31*2=62', '30+68=98']\nExploring Operation: 62+98=160, Resulting Numbers: [160]\n160,100 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 100:[62, 98], Operations: ['31*2=62', '30+68=98']\nExploring Operation: 98-62=36, Resulting Numbers: [36]\n36,100 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 100:[30, 68, 62], Operations: ['31*2=62']\nExploring Operation: 30+62=92, Resulting Numbers: [68, 92]\nGenerated Node #0,0,1: 100:[68, 92] Operation: 30+62=92\nMoving to Node #0,0,1\nCurrent State: 100:[68, 92], Operations: ['31*2=62', '30+62=92']\nExploring Operation: 68+92=160, Resulting Numbers: [160]\n160,100 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 100:[68, 92], Operations: ['31*2=62', '30+62=92']\nExploring Operation: 92-68=24, Resulting Numbers: [24]\n24,100 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 100:[30, 68, 62], Operations: ['31*2=62']\nExploring Operation: 68-30=38, Resulting Numbers: [62, 38]\nGenerated Node #0,0,2: 100:[62, 38] Operation: 68-30=38\nMoving to Node #0,0,2\nCurrent State: 100:[62, 38], Operations: ['31*2=62', '68-30=38']\nExploring Operation: 62+38=100, Resulting Numbers: [100]\n100,100 equal: Goal Reached\n", "role": "assistant" } ]
[ 73, 18, 36, 48 ]
98
[ "73*36=2628", "2628/18=146", "146-48=98" ]
Current State: 98:[73, 18, 36, 48], Operations: [] Exploring Operation: 73+18=91, Resulting Numbers: [36, 48, 91] Generated Node #0,0: 98:[36, 48, 91] Operation: 73+18=91 Exploring Operation: 73-36=37, Resulting Numbers: [18, 48, 37] Generated Node #0,1: 98:[18, 48, 37] Operation: 73-36=37 Exploring Operation: 73+36=109, Resulting Numbers: [18, 48, 109] Generated Node #0,2: 98:[18, 48, 109] Operation: 73+36=109 Exploring Operation: 73-18=55, Resulting Numbers: [36, 48, 55] Generated Node #0,3: 98:[36, 48, 55] Operation: 73-18=55 Moving to Node #0,2 Current State: 98:[18, 48, 109], Operations: ['73+36=109'] Exploring Operation: 109-48=61, Resulting Numbers: [18, 61] Generated Node #0,2,0: 98:[18, 61] Operation: 109-48=61 Exploring Operation: 48-18=30, Resulting Numbers: [109, 30] Generated Node #0,2,1: 98:[109, 30] Operation: 48-18=30 Exploring Operation: 18+48=66, Resulting Numbers: [109, 66] Generated Node #0,2,2: 98:[109, 66] Operation: 18+48=66 Exploring Operation: 109-18=91, Resulting Numbers: [48, 91] Generated Node #0,2,3: 98:[48, 91] Operation: 109-18=91 Moving to Node #0,1 Current State: 98:[18, 48, 37], Operations: ['73-36=37'] Exploring Operation: 37-18=19, Resulting Numbers: [48, 19] Generated Node #0,1,0: 98:[48, 19] Operation: 37-18=19 Exploring Operation: 48-37=11, Resulting Numbers: [18, 11] Generated Node #0,1,1: 98:[18, 11] Operation: 48-37=11 Exploring Operation: 18+37=55, Resulting Numbers: [48, 55] Generated Node #0,1,2: 98:[48, 55] Operation: 18+37=55 Exploring Operation: 48+37=85, Resulting Numbers: [18, 85] Generated Node #0,1,3: 98:[18, 85] Operation: 48+37=85 Moving to Node #0,3 Current State: 98:[36, 48, 55], Operations: ['73-18=55'] Exploring Operation: 36+55=91, Resulting Numbers: [48, 91] Generated Node #0,3,0: 98:[48, 91] Operation: 36+55=91 Exploring Operation: 48-36=12, Resulting Numbers: [55, 12] Generated Node #0,3,1: 98:[55, 12] Operation: 48-36=12 Exploring Operation: 55-48=7, Resulting Numbers: [36, 7] Generated Node #0,3,2: 98:[36, 7] Operation: 55-48=7 Exploring Operation: 55-36=19, Resulting Numbers: [48, 19] Generated Node #0,3,3: 98:[48, 19] Operation: 55-36=19 Moving to Node #0,0 Current State: 98:[36, 48, 91], Operations: ['73+18=91'] Exploring Operation: 48-36=12, Resulting Numbers: [91, 12] Generated Node #0,0,0: 98:[91, 12] Operation: 48-36=12 Exploring Operation: 91-36=55, Resulting Numbers: [48, 55] Generated Node #0,0,1: 98:[48, 55] Operation: 91-36=55 Exploring Operation: 91-48=43, Resulting Numbers: [36, 43] Generated Node #0,0,2: 98:[36, 43] Operation: 91-48=43 Exploring Operation: 36+48=84, Resulting Numbers: [91, 84] Generated Node #0,0,3: 98:[91, 84] Operation: 36+48=84 Moving to Node #0,1,0 Current State: 98:[48, 19], Operations: ['73-36=37', '37-18=19'] Exploring Operation: 48*19=912, Resulting Numbers: [912] 912,98 unequal: No Solution Exploring Operation: 48+19=67, Resulting Numbers: [67] 67,98 unequal: No Solution Exploring Operation: 48-19=29, Resulting Numbers: [29] 29,98 unequal: No Solution Moving to Node #0,3,3 Current State: 98:[48, 19], Operations: ['73-18=55', '55-36=19'] Exploring Operation: 48-19=29, Resulting Numbers: [29] 29,98 unequal: No Solution Exploring Operation: 48+19=67, Resulting Numbers: [67] 67,98 unequal: No Solution Exploring Operation: 48*19=912, Resulting Numbers: [912] 912,98 unequal: No Solution Moving to Node #0,1,1 Current State: 98:[18, 11], Operations: ['73-36=37', '48-37=11'] Exploring Operation: 18+11=29, Resulting Numbers: [29] 29,98 unequal: No Solution Exploring Operation: 18*11=198, Resulting Numbers: [198] 198,98 unequal: No Solution Exploring Operation: 18-11=7, Resulting Numbers: [7] 7,98 unequal: No Solution Moving to Node #0,1,2 Current State: 98:[48, 55], Operations: ['73-36=37', '18+37=55'] Exploring Operation: 55-48=7, Resulting Numbers: [7] 7,98 unequal: No Solution Exploring Operation: 48+55=103, Resulting Numbers: [103] 103,98 unequal: No Solution Exploring Operation: 48*55=2640, Resulting Numbers: [2640] 2640,98 unequal: No Solution Moving to Node #0,1,1,0 Current State: 98:[7], Operations: ['73-36=37', '48-37=11', '18-11=7'] Moving to Node #0,1,2,0 Current State: 98:[7], Operations: ['73-36=37', '18+37=55', '55-48=7'] Moving to Node #0,1,2,0 Current State: 98:[103], Operations: ['73-36=37', '18+37=55', '48+55=103'] Moving to Node #0,0,1 Current State: 98:[48, 55], Operations: ['73+18=91', '91-36=55'] Exploring Operation: 48+55=103, Resulting Numbers: [103] 103,98 unequal: No Solution Exploring Operation: 48*55=2640, Resulting Numbers: [2640] 2640,98 unequal: No Solution Exploring Operation: 55-48=7, Resulting Numbers: [7] 7,98 unequal: No Solution Moving to Node #0,0,1,0 Current State: 98:[7], Operations: ['73+18=91', '91-36=55', '55-48=7'] Moving to Node #0,0,1,0 Current State: 98:[103], Operations: ['73+18=91', '91-36=55', '48+55=103'] Moving to Node #0,3,1 Current State: 98:[55, 12], Operations: ['73-18=55', '48-36=12'] Exploring Operation: 55*12=660, Resulting Numbers: [660] 660,98 unequal: No Solution Exploring Operation: 55+12=67, Resulting Numbers: [67] 67,98 unequal: No Solution Exploring Operation: 55-12=43, Resulting Numbers: [43] 43,98 unequal: No Solution Moving to Node #0,3,0 Current State: 98:[48, 91], Operations: ['73-18=55', '36+55=91'] Exploring Operation: 48*91=4368, Resulting Numbers: [4368] 4368,98 unequal: No Solution Exploring Operation: 48+91=139, Resulting Numbers: [139] 139,98 unequal: No Solution Exploring Operation: 91-48=43, Resulting Numbers: [43] 43,98 unequal: No Solution Moving to Node #0,3,1,0 Current State: 98:[43], Operations: ['73-18=55', '48-36=12', '55-12=43'] Moving to Node #0,3,0,0 Current State: 98:[43], Operations: ['73-18=55', '36+55=91', '91-48=43'] Moving to Node #0,2,3 Current State: 98:[48, 91], Operations: ['73+36=109', '109-18=91'] Exploring Operation: 91-48=43, Resulting Numbers: [43] 43,98 unequal: No Solution Exploring Operation: 48+91=139, Resulting Numbers: [139] 139,98 unequal: No Solution Exploring Operation: 48*91=4368, Resulting Numbers: [4368] 4368,98 unequal: No Solution Moving to Node #0,0,0 Current State: 98:[91, 12], Operations: ['73+18=91', '48-36=12'] Exploring Operation: 91+12=103, Resulting Numbers: [103] 103,98 unequal: No Solution Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,98 unequal: No Solution Exploring Operation: 91*12=1092, Resulting Numbers: [1092] 1092,98 unequal: No Solution Moving to Node #0,0,0,0 Current State: 98:[103], Operations: ['73+18=91', '48-36=12', '91+12=103'] Moving to Node #0,2,3,0 Current State: 98:[43], Operations: ['73+36=109', '109-18=91', '91-48=43'] Moving to Node #0,3,2 Current State: 98:[36, 7], Operations: ['73-18=55', '55-48=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,98 unequal: No Solution Exploring Operation: 36*7=252, Resulting Numbers: [252] 252,98 unequal: No Solution Exploring Operation: 36+7=43, Resulting Numbers: [43] 43,98 unequal: No Solution Moving to Node #0,1,0,0 Current State: 98:[29], Operations: ['73-36=37', '37-18=19', '48-19=29'] Moving to Node #0,3,2,0 Current State: 98:[43], Operations: ['73-18=55', '55-48=7', '36+7=43'] Moving to Node #0,1,1,0 Current State: 98:[29], Operations: ['73-36=37', '48-37=11', '18+11=29'] Moving to Node #0,3,2,0 Current State: 98:[29], Operations: ['73-18=55', '55-48=7', '36-7=29'] Moving to Node #0,3,3,0 Current State: 98:[29], Operations: ['73-18=55', '55-36=19', '48-19=29'] Moving to Node #0,2,0 Current State: 98:[18, 61], Operations: ['73+36=109', '109-48=61'] Exploring Operation: 61-18=43, Resulting Numbers: [43] 43,98 unequal: No Solution Exploring Operation: 18*61=1098, Resulting Numbers: [1098] 1098,98 unequal: No Solution Exploring Operation: 18+61=79, Resulting Numbers: [79] 79,98 unequal: No Solution Moving to Node #0,1,3 Current State: 98:[18, 85], Operations: ['73-36=37', '48+37=85'] Exploring Operation: 85-18=67, Resulting Numbers: [67] 67,98 unequal: No Solution Exploring Operation: 18*85=1530, Resulting Numbers: [1530] 1530,98 unequal: No Solution Exploring Operation: 18+85=103, Resulting Numbers: [103] 103,98 unequal: No Solution Moving to Node #0,1,0,0 Current State: 98:[67], Operations: ['73-36=37', '37-18=19', '48+19=67'] Moving to Node #0,3,1,0 Current State: 98:[67], Operations: ['73-18=55', '48-36=12', '55+12=67'] Moving to Node #0,1,3,0 Current State: 98:[103], Operations: ['73-36=37', '48+37=85', '18+85=103'] Moving to Node #0,2,0,0 Current State: 98:[43], Operations: ['73+36=109', '109-48=61', '61-18=43'] Moving to Node #0,3,3,0 Current State: 98:[67], Operations: ['73-18=55', '55-36=19', '48+19=67'] Moving to Node #0,1,3,0 Current State: 98:[67], Operations: ['73-36=37', '48+37=85', '85-18=67'] Moving to Node #0,0,2 Current State: 98:[36, 43], Operations: ['73+18=91', '91-48=43'] Exploring Operation: 43-36=7, Resulting Numbers: [7] 7,98 unequal: No Solution Exploring Operation: 36*43=1548, Resulting Numbers: [1548] 1548,98 unequal: No Solution Exploring Operation: 36+43=79, Resulting Numbers: [79] 79,98 unequal: No Solution Moving to Node #0,0,0,0 Current State: 98:[79], Operations: ['73+18=91', '48-36=12', '91-12=79'] Moving to Node #0,2,0,0 Current State: 98:[79], Operations: ['73+36=109', '109-48=61', '18+61=79'] Moving to Node #0,0,3 Current State: 98:[91, 84], Operations: ['73+18=91', '36+48=84'] Exploring Operation: 91-84=7, Resulting Numbers: [7] 7,98 unequal: No Solution Exploring Operation: 91*84=7644, Resulting Numbers: [7644] 7644,98 unequal: No Solution Exploring Operation: 91+84=175, Resulting Numbers: [175] 175,98 unequal: No Solution Moving to Node #0,0,2,0 Current State: 98:[7], Operations: ['73+18=91', '91-48=43', '43-36=7'] Moving to Node #0,0,3,0 Current State: 98:[7], Operations: ['73+18=91', '36+48=84', '91-84=7'] Moving to Node #0,0,2,0 Current State: 98:[79], Operations: ['73+18=91', '91-48=43', '36+43=79'] Moving to Node #0,2,1 Current State: 98:[109, 30], Operations: ['73+36=109', '48-18=30'] Exploring Operation: 109*30=3270, Resulting Numbers: [3270] 3270,98 unequal: No Solution Exploring Operation: 109+30=139, Resulting Numbers: [139] 139,98 unequal: No Solution Exploring Operation: 109-30=79, Resulting Numbers: [79] 79,98 unequal: No Solution Moving to Node #0,2,1,0 Current State: 98:[79], Operations: ['73+36=109', '48-18=30', '109-30=79'] Moving to Node #0,2,2 Current State: 98:[109, 66], Operations: ['73+36=109', '18+48=66'] Exploring Operation: 109-66=43, Resulting Numbers: [43] 43,98 unequal: No Solution Exploring Operation: 109*66=7194, Resulting Numbers: [7194] 7194,98 unequal: No Solution Exploring Operation: 109+66=175, Resulting Numbers: [175] 175,98 unequal: No Solution Moving to Node #0,2,1,0 Current State: 98:[139], Operations: ['73+36=109', '48-18=30', '109+30=139'] Moving to Node #0,3,0,0 Current State: 98:[139], Operations: ['73-18=55', '36+55=91', '48+91=139'] Moving to Node #0,2,2,0 Current State: 98:[43], Operations: ['73+36=109', '18+48=66', '109-66=43'] Moving to Node #0,2,3,0 Current State: 98:[139], Operations: ['73+36=109', '109-18=91', '48+91=139'] Moving to Node #0,0,3,0 Current State: 98:[175], Operations: ['73+18=91', '36+48=84', '91+84=175'] Moving to Node #0,2,2,0 Current State: 98:[175], Operations: ['73+36=109', '18+48=66', '109+66=175'] Moving to Node #0,1,1,0 Current State: 98:[198], Operations: ['73-36=37', '48-37=11', '18*11=198'] Moving to Node #0,3,2,0 Current State: 98:[252], Operations: ['73-18=55', '55-48=7', '36*7=252'] Moving to Node #0,3,1,0 Current State: 98:[660], Operations: ['73-18=55', '48-36=12', '55*12=660'] Moving to Node #0,1,0,0 Current State: 98:[912], Operations: ['73-36=37', '37-18=19', '48*19=912'] Moving to Node #0,3,3,0 Current State: 98:[912], Operations: ['73-18=55', '55-36=19', '48*19=912'] Moving to Node #0,0,0,0 Current State: 98:[1092], Operations: ['73+18=91', '48-36=12', '91*12=1092'] Moving to Node #0,2,0,0 Current State: 98:[1098], Operations: ['73+36=109', '109-48=61', '18*61=1098'] Moving to Node #0,1,3,0 Current State: 98:[1530], Operations: ['73-36=37', '48+37=85', '18*85=1530'] Moving to Node #0,0,2,0 Current State: 98:[1548], Operations: ['73+18=91', '91-48=43', '36*43=1548'] Moving to Node #0,0,1,0 Current State: 98:[2640], Operations: ['73+18=91', '91-36=55', '48*55=2640'] Moving to Node #0,1,2,0 Current State: 98:[2640], Operations: ['73-36=37', '18+37=55', '48*55=2640'] Moving to Node #0,2,1,0 Current State: 98:[3270], Operations: ['73+36=109', '48-18=30', '109*30=3270'] Moving to Node #0,2,3,0 Current State: 98:[4368], Operations: ['73+36=109', '109-18=91', '48*91=4368'] Moving to Node #0,3,0,0 Current State: 98:[4368], Operations: ['73-18=55', '36+55=91', '48*91=4368'] Moving to Node #0,2,2,0 Current State: 98:[7194], Operations: ['73+36=109', '18+48=66', '109*66=7194'] Moving to Node #0,0,3,0 Current State: 98:[7644], Operations: ['73+18=91', '36+48=84', '91*84=7644'] No solution found.
0
bfs_4
Current State: 98:[73, 18, 36, 48], Operations: [] Exploring Operation: 73*36=2628, Resulting Numbers: [18, 48, 2628] Generated Node #2: [18, 48, 2628] from Operation: 73*36=2628 Current State: 98:[18, 48, 2628], Operations: ['73*36=2628'] Exploring Operation: 2628/18=146, Resulting Numbers: [48, 146] Generated Node #3: [48, 146] from Operation: 2628/18=146 Current State: 98:[48, 146], Operations: ['73*36=2628', '2628/18=146'] Exploring Operation: 146-48=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
mult_heuristic
[ { "content": "Make 98 with the numbers [73, 18, 36, 48] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 98:[73, 18, 36, 48], Operations: []\nExploring Operation: 73+18=91, Resulting Numbers: [36, 48, 91]\nGenerated Node #0,0: 98:[36, 48, 91] Operation: 73+18=91\nExploring Operation: 73-36=37, Resulting Numbers: [18, 48, 37]\nGenerated Node #0,1: 98:[18, 48, 37] Operation: 73-36=37\nExploring Operation: 73+36=109, Resulting Numbers: [18, 48, 109]\nGenerated Node #0,2: 98:[18, 48, 109] Operation: 73+36=109\nExploring Operation: 73-18=55, Resulting Numbers: [36, 48, 55]\nGenerated Node #0,3: 98:[36, 48, 55] Operation: 73-18=55\nMoving to Node #0,2\nCurrent State: 98:[18, 48, 109], Operations: ['73+36=109']\nExploring Operation: 109-48=61, Resulting Numbers: [18, 61]\nGenerated Node #0,2,0: 98:[18, 61] Operation: 109-48=61\nExploring Operation: 48-18=30, Resulting Numbers: [109, 30]\nGenerated Node #0,2,1: 98:[109, 30] Operation: 48-18=30\nExploring Operation: 18+48=66, Resulting Numbers: [109, 66]\nGenerated Node #0,2,2: 98:[109, 66] Operation: 18+48=66\nExploring Operation: 109-18=91, Resulting Numbers: [48, 91]\nGenerated Node #0,2,3: 98:[48, 91] Operation: 109-18=91\nMoving to Node #0,1\nCurrent State: 98:[18, 48, 37], Operations: ['73-36=37']\nExploring Operation: 37-18=19, Resulting Numbers: [48, 19]\nGenerated Node #0,1,0: 98:[48, 19] Operation: 37-18=19\nExploring Operation: 48-37=11, Resulting Numbers: [18, 11]\nGenerated Node #0,1,1: 98:[18, 11] Operation: 48-37=11\nExploring Operation: 18+37=55, Resulting Numbers: [48, 55]\nGenerated Node #0,1,2: 98:[48, 55] Operation: 18+37=55\nExploring Operation: 48+37=85, Resulting Numbers: [18, 85]\nGenerated Node #0,1,3: 98:[18, 85] Operation: 48+37=85\nMoving to Node #0,3\nCurrent State: 98:[36, 48, 55], Operations: ['73-18=55']\nExploring Operation: 36+55=91, Resulting Numbers: [48, 91]\nGenerated Node #0,3,0: 98:[48, 91] Operation: 36+55=91\nExploring Operation: 48-36=12, Resulting Numbers: [55, 12]\nGenerated Node #0,3,1: 98:[55, 12] Operation: 48-36=12\nExploring Operation: 55-48=7, Resulting Numbers: [36, 7]\nGenerated Node #0,3,2: 98:[36, 7] Operation: 55-48=7\nExploring Operation: 55-36=19, Resulting Numbers: [48, 19]\nGenerated Node #0,3,3: 98:[48, 19] Operation: 55-36=19\nMoving to Node #0,0\nCurrent State: 98:[36, 48, 91], Operations: ['73+18=91']\nExploring Operation: 48-36=12, Resulting Numbers: [91, 12]\nGenerated Node #0,0,0: 98:[91, 12] Operation: 48-36=12\nExploring Operation: 91-36=55, Resulting Numbers: [48, 55]\nGenerated Node #0,0,1: 98:[48, 55] Operation: 91-36=55\nExploring Operation: 91-48=43, Resulting Numbers: [36, 43]\nGenerated Node #0,0,2: 98:[36, 43] Operation: 91-48=43\nExploring Operation: 36+48=84, Resulting Numbers: [91, 84]\nGenerated Node #0,0,3: 98:[91, 84] Operation: 36+48=84\nMoving to Node #0,1,0\nCurrent State: 98:[48, 19], Operations: ['73-36=37', '37-18=19']\nExploring Operation: 48*19=912, Resulting Numbers: [912]\n912,98 unequal: No Solution\nExploring Operation: 48+19=67, Resulting Numbers: [67]\n67,98 unequal: No Solution\nExploring Operation: 48-19=29, Resulting Numbers: [29]\n29,98 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 98:[48, 19], Operations: ['73-18=55', '55-36=19']\nExploring Operation: 48-19=29, Resulting Numbers: [29]\n29,98 unequal: No Solution\nExploring Operation: 48+19=67, Resulting Numbers: [67]\n67,98 unequal: No Solution\nExploring Operation: 48*19=912, Resulting Numbers: [912]\n912,98 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 98:[18, 11], Operations: ['73-36=37', '48-37=11']\nExploring Operation: 18+11=29, Resulting Numbers: [29]\n29,98 unequal: No Solution\nExploring Operation: 18*11=198, Resulting Numbers: [198]\n198,98 unequal: No Solution\nExploring Operation: 18-11=7, Resulting Numbers: [7]\n7,98 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 98:[48, 55], Operations: ['73-36=37', '18+37=55']\nExploring Operation: 55-48=7, Resulting Numbers: [7]\n7,98 unequal: No Solution\nExploring Operation: 48+55=103, Resulting Numbers: [103]\n103,98 unequal: No Solution\nExploring Operation: 48*55=2640, Resulting Numbers: [2640]\n2640,98 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 98:[7], Operations: ['73-36=37', '48-37=11', '18-11=7']\nMoving to Node #0,1,2,0\nCurrent State: 98:[7], Operations: ['73-36=37', '18+37=55', '55-48=7']\nMoving to Node #0,1,2,0\nCurrent State: 98:[103], Operations: ['73-36=37', '18+37=55', '48+55=103']\nMoving to Node #0,0,1\nCurrent State: 98:[48, 55], Operations: ['73+18=91', '91-36=55']\nExploring Operation: 48+55=103, Resulting Numbers: [103]\n103,98 unequal: No Solution\nExploring Operation: 48*55=2640, Resulting Numbers: [2640]\n2640,98 unequal: No Solution\nExploring Operation: 55-48=7, Resulting Numbers: [7]\n7,98 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 98:[7], Operations: ['73+18=91', '91-36=55', '55-48=7']\nMoving to Node #0,0,1,0\nCurrent State: 98:[103], Operations: ['73+18=91', '91-36=55', '48+55=103']\nMoving to Node #0,3,1\nCurrent State: 98:[55, 12], Operations: ['73-18=55', '48-36=12']\nExploring Operation: 55*12=660, Resulting Numbers: [660]\n660,98 unequal: No Solution\nExploring Operation: 55+12=67, Resulting Numbers: [67]\n67,98 unequal: No Solution\nExploring Operation: 55-12=43, Resulting Numbers: [43]\n43,98 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 98:[48, 91], Operations: ['73-18=55', '36+55=91']\nExploring Operation: 48*91=4368, Resulting Numbers: [4368]\n4368,98 unequal: No Solution\nExploring Operation: 48+91=139, Resulting Numbers: [139]\n139,98 unequal: No Solution\nExploring Operation: 91-48=43, Resulting Numbers: [43]\n43,98 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 98:[43], Operations: ['73-18=55', '48-36=12', '55-12=43']\nMoving to Node #0,3,0,0\nCurrent State: 98:[43], Operations: ['73-18=55', '36+55=91', '91-48=43']\nMoving to Node #0,2,3\nCurrent State: 98:[48, 91], Operations: ['73+36=109', '109-18=91']\nExploring Operation: 91-48=43, Resulting Numbers: [43]\n43,98 unequal: No Solution\nExploring Operation: 48+91=139, Resulting Numbers: [139]\n139,98 unequal: No Solution\nExploring Operation: 48*91=4368, Resulting Numbers: [4368]\n4368,98 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 98:[91, 12], Operations: ['73+18=91', '48-36=12']\nExploring Operation: 91+12=103, Resulting Numbers: [103]\n103,98 unequal: No Solution\nExploring Operation: 91-12=79, Resulting Numbers: [79]\n79,98 unequal: No Solution\nExploring Operation: 91*12=1092, Resulting Numbers: [1092]\n1092,98 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 98:[103], Operations: ['73+18=91', '48-36=12', '91+12=103']\nMoving to Node #0,2,3,0\nCurrent State: 98:[43], Operations: ['73+36=109', '109-18=91', '91-48=43']\nMoving to Node #0,3,2\nCurrent State: 98:[36, 7], Operations: ['73-18=55', '55-48=7']\nExploring Operation: 36-7=29, Resulting Numbers: [29]\n29,98 unequal: No Solution\nExploring Operation: 36*7=252, Resulting Numbers: [252]\n252,98 unequal: No Solution\nExploring Operation: 36+7=43, Resulting Numbers: [43]\n43,98 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 98:[29], Operations: ['73-36=37', '37-18=19', '48-19=29']\nMoving to Node #0,3,2,0\nCurrent State: 98:[43], Operations: ['73-18=55', '55-48=7', '36+7=43']\nMoving to Node #0,1,1,0\nCurrent State: 98:[29], Operations: ['73-36=37', '48-37=11', '18+11=29']\nMoving to Node #0,3,2,0\nCurrent State: 98:[29], Operations: ['73-18=55', '55-48=7', '36-7=29']\nMoving to Node #0,3,3,0\nCurrent State: 98:[29], Operations: ['73-18=55', '55-36=19', '48-19=29']\nMoving to Node #0,2,0\nCurrent State: 98:[18, 61], Operations: ['73+36=109', '109-48=61']\nExploring Operation: 61-18=43, Resulting Numbers: [43]\n43,98 unequal: No Solution\nExploring Operation: 18*61=1098, Resulting Numbers: [1098]\n1098,98 unequal: No Solution\nExploring Operation: 18+61=79, Resulting Numbers: [79]\n79,98 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 98:[18, 85], Operations: ['73-36=37', '48+37=85']\nExploring Operation: 85-18=67, Resulting Numbers: [67]\n67,98 unequal: No Solution\nExploring Operation: 18*85=1530, Resulting Numbers: [1530]\n1530,98 unequal: No Solution\nExploring Operation: 18+85=103, Resulting Numbers: [103]\n103,98 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 98:[67], Operations: ['73-36=37', '37-18=19', '48+19=67']\nMoving to Node #0,3,1,0\nCurrent State: 98:[67], Operations: ['73-18=55', '48-36=12', '55+12=67']\nMoving to Node #0,1,3,0\nCurrent State: 98:[103], Operations: ['73-36=37', '48+37=85', '18+85=103']\nMoving to Node #0,2,0,0\nCurrent State: 98:[43], Operations: ['73+36=109', '109-48=61', '61-18=43']\nMoving to Node #0,3,3,0\nCurrent State: 98:[67], Operations: ['73-18=55', '55-36=19', '48+19=67']\nMoving to Node #0,1,3,0\nCurrent State: 98:[67], Operations: ['73-36=37', '48+37=85', '85-18=67']\nMoving to Node #0,0,2\nCurrent State: 98:[36, 43], Operations: ['73+18=91', '91-48=43']\nExploring Operation: 43-36=7, Resulting Numbers: [7]\n7,98 unequal: No Solution\nExploring Operation: 36*43=1548, Resulting Numbers: [1548]\n1548,98 unequal: No Solution\nExploring Operation: 36+43=79, Resulting Numbers: [79]\n79,98 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 98:[79], Operations: ['73+18=91', '48-36=12', '91-12=79']\nMoving to Node #0,2,0,0\nCurrent State: 98:[79], Operations: ['73+36=109', '109-48=61', '18+61=79']\nMoving to Node #0,0,3\nCurrent State: 98:[91, 84], Operations: ['73+18=91', '36+48=84']\nExploring Operation: 91-84=7, Resulting Numbers: [7]\n7,98 unequal: No Solution\nExploring Operation: 91*84=7644, Resulting Numbers: [7644]\n7644,98 unequal: No Solution\nExploring Operation: 91+84=175, Resulting Numbers: [175]\n175,98 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 98:[7], Operations: ['73+18=91', '91-48=43', '43-36=7']\nMoving to Node #0,0,3,0\nCurrent State: 98:[7], Operations: ['73+18=91', '36+48=84', '91-84=7']\nMoving to Node #0,0,2,0\nCurrent State: 98:[79], Operations: ['73+18=91', '91-48=43', '36+43=79']\nMoving to Node #0,2,1\nCurrent State: 98:[109, 30], Operations: ['73+36=109', '48-18=30']\nExploring Operation: 109*30=3270, Resulting Numbers: [3270]\n3270,98 unequal: No Solution\nExploring Operation: 109+30=139, Resulting Numbers: [139]\n139,98 unequal: No Solution\nExploring Operation: 109-30=79, Resulting Numbers: [79]\n79,98 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 98:[79], Operations: ['73+36=109', '48-18=30', '109-30=79']\nMoving to Node #0,2,2\nCurrent State: 98:[109, 66], Operations: ['73+36=109', '18+48=66']\nExploring Operation: 109-66=43, Resulting Numbers: [43]\n43,98 unequal: No Solution\nExploring Operation: 109*66=7194, Resulting Numbers: [7194]\n7194,98 unequal: No Solution\nExploring Operation: 109+66=175, Resulting Numbers: [175]\n175,98 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 98:[139], Operations: ['73+36=109', '48-18=30', '109+30=139']\nMoving to Node #0,3,0,0\nCurrent State: 98:[139], Operations: ['73-18=55', '36+55=91', '48+91=139']\nMoving to Node #0,2,2,0\nCurrent State: 98:[43], Operations: ['73+36=109', '18+48=66', '109-66=43']\nMoving to Node #0,2,3,0\nCurrent State: 98:[139], Operations: ['73+36=109', '109-18=91', '48+91=139']\nMoving to Node #0,0,3,0\nCurrent State: 98:[175], Operations: ['73+18=91', '36+48=84', '91+84=175']\nMoving to Node #0,2,2,0\nCurrent State: 98:[175], Operations: ['73+36=109', '18+48=66', '109+66=175']\nMoving to Node #0,1,1,0\nCurrent State: 98:[198], Operations: ['73-36=37', '48-37=11', '18*11=198']\nMoving to Node #0,3,2,0\nCurrent State: 98:[252], Operations: ['73-18=55', '55-48=7', '36*7=252']\nMoving to Node #0,3,1,0\nCurrent State: 98:[660], Operations: ['73-18=55', '48-36=12', '55*12=660']\nMoving to Node #0,1,0,0\nCurrent State: 98:[912], Operations: ['73-36=37', '37-18=19', '48*19=912']\nMoving to Node #0,3,3,0\nCurrent State: 98:[912], Operations: ['73-18=55', '55-36=19', '48*19=912']\nMoving to Node #0,0,0,0\nCurrent State: 98:[1092], Operations: ['73+18=91', '48-36=12', '91*12=1092']\nMoving to Node #0,2,0,0\nCurrent State: 98:[1098], Operations: ['73+36=109', '109-48=61', '18*61=1098']\nMoving to Node #0,1,3,0\nCurrent State: 98:[1530], Operations: ['73-36=37', '48+37=85', '18*85=1530']\nMoving to Node #0,0,2,0\nCurrent State: 98:[1548], Operations: ['73+18=91', '91-48=43', '36*43=1548']\nMoving to Node #0,0,1,0\nCurrent State: 98:[2640], Operations: ['73+18=91', '91-36=55', '48*55=2640']\nMoving to Node #0,1,2,0\nCurrent State: 98:[2640], Operations: ['73-36=37', '18+37=55', '48*55=2640']\nMoving to Node #0,2,1,0\nCurrent State: 98:[3270], Operations: ['73+36=109', '48-18=30', '109*30=3270']\nMoving to Node #0,2,3,0\nCurrent State: 98:[4368], Operations: ['73+36=109', '109-18=91', '48*91=4368']\nMoving to Node #0,3,0,0\nCurrent State: 98:[4368], Operations: ['73-18=55', '36+55=91', '48*91=4368']\nMoving to Node #0,2,2,0\nCurrent State: 98:[7194], Operations: ['73+36=109', '18+48=66', '109*66=7194']\nMoving to Node #0,0,3,0\nCurrent State: 98:[7644], Operations: ['73+18=91', '36+48=84', '91*84=7644']\nNo solution found.", "role": "assistant" } ]
[ 85, 31, 49, 98 ]
27
[ "85-31=54", "98/49=2", "54/2=27" ]
Current State: 27:[85, 31, 49, 98], Operations: []
0
dfs
Current State: 27:[85, 31, 49, 98], Operations: [] Exploring Operation: 85-31=54, Resulting Numbers: [49, 98, 54] Generated Node #2: [49, 98, 54] from Operation: 85-31=54 Current State: 27:[49, 98, 54], Operations: ['85-31=54'] Exploring Operation: 98/49=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 98/49=2 Current State: 27:[54, 2], Operations: ['85-31=54', '98/49=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
mult_heuristic
[ { "content": "Make 27 with the numbers [85, 31, 49, 98] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 27:[85, 31, 49, 98], Operations: []\n", "role": "assistant" } ]
[ 66, 11, 69, 23 ]
99
[ "11*69=759", "759/23=33", "66+33=99" ]
Current State: 99:[66, 11, 69, 23], Operations: [] Exploring Operation: 66+11=77, Resulting Numbers: [69, 23, 77] Generated Node #0,0: 99:[69, 23, 77] Operation: 66+11=77 Moving to Node #0,0 Current State: 99:[69, 23, 77], Operations: ['66+11=77'] Exploring Operation: 69+23=92, Resulting Numbers: [77, 92] Generated Node #0,0,0: 99:[77, 92] Operation: 69+23=92 Moving to Node #0,0,0 Current State: 99:[77, 92], Operations: ['66+11=77', '69+23=92'] Exploring Operation: 77+92=169, Resulting Numbers: [169] 169,99 unequal: No Solution Moving to Node #0,0,0,0 Current State: 99:[169], Operations: ['66+11=77', '69+23=92', '77+92=169'] No solution found.
0
bfs_1
Current State: 99:[66, 11, 69, 23], Operations: [] Exploring Operation: 11*69=759, Resulting Numbers: [66, 23, 759] Generated Node #2: [66, 23, 759] from Operation: 11*69=759 Current State: 99:[66, 23, 759], Operations: ['11*69=759'] Exploring Operation: 759/23=33, Resulting Numbers: [66, 33] Generated Node #3: [66, 33] from Operation: 759/23=33 Current State: 99:[66, 33], Operations: ['11*69=759', '759/23=33'] Exploring Operation: 66+33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
sum_heuristic
[ { "content": "Make 99 with the numbers [66, 11, 69, 23] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 99:[66, 11, 69, 23], Operations: []\nExploring Operation: 66+11=77, Resulting Numbers: [69, 23, 77]\nGenerated Node #0,0: 99:[69, 23, 77] Operation: 66+11=77\nMoving to Node #0,0\nCurrent State: 99:[69, 23, 77], Operations: ['66+11=77']\nExploring Operation: 69+23=92, Resulting Numbers: [77, 92]\nGenerated Node #0,0,0: 99:[77, 92] Operation: 69+23=92\nMoving to Node #0,0,0\nCurrent State: 99:[77, 92], Operations: ['66+11=77', '69+23=92']\nExploring Operation: 77+92=169, Resulting Numbers: [169]\n169,99 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 99:[169], Operations: ['66+11=77', '69+23=92', '77+92=169']\nNo solution found.", "role": "assistant" } ]
[ 63, 92, 55, 32 ]
88
[ "63-55=8", "32/8=4", "92-4=88" ]
Current State: 88:[63, 92, 55, 32], Operations: [] Exploring Operation: 55+32=87, Resulting Numbers: [63, 92, 87] Generated Node #0,0: 88:[63, 92, 87] Operation: 55+32=87 Exploring Operation: 63+32=95, Resulting Numbers: [92, 55, 95] Generated Node #0,1: 88:[92, 55, 95] Operation: 63+32=95 Moving to Node #0,0 Current State: 88:[63, 92, 87], Operations: ['55+32=87'] Exploring Operation: 63+87=150, Resulting Numbers: [92, 150] Generated Node #0,0,0: 88:[92, 150] Operation: 63+87=150 Exploring Operation: 92-63=29, Resulting Numbers: [87, 29] Generated Node #0,0,1: 88:[87, 29] Operation: 92-63=29 Moving to Node #0,1 Current State: 88:[92, 55, 95], Operations: ['63+32=95'] Exploring Operation: 92-55=37, Resulting Numbers: [95, 37] Generated Node #0,1,0: 88:[95, 37] Operation: 92-55=37 Exploring Operation: 95-55=40, Resulting Numbers: [92, 40] Generated Node #0,1,1: 88:[92, 40] Operation: 95-55=40 Moving to Node #0,1,1 Current State: 88:[92, 40], Operations: ['63+32=95', '95-55=40'] Exploring Operation: 92+40=132, Resulting Numbers: [132] 132,88 unequal: No Solution Exploring Operation: 92-40=52, Resulting Numbers: [52] 52,88 unequal: No Solution Moving to Node #0,1,0 Current State: 88:[95, 37], Operations: ['63+32=95', '92-55=37'] Exploring Operation: 95+37=132, Resulting Numbers: [132] 132,88 unequal: No Solution Exploring Operation: 95-37=58, Resulting Numbers: [58] 58,88 unequal: No Solution Moving to Node #0,0,1 Current State: 88:[87, 29], Operations: ['55+32=87', '92-63=29'] Exploring Operation: 87+29=116, Resulting Numbers: [116] 116,88 unequal: No Solution Exploring Operation: 87-29=58, Resulting Numbers: [58] 58,88 unequal: No Solution Moving to Node #0,1,0,0 Current State: 88:[58], Operations: ['63+32=95', '92-55=37', '95-37=58'] Moving to Node #0,0,1,0 Current State: 88:[116], Operations: ['55+32=87', '92-63=29', '87+29=116'] Moving to Node #0,0,1,0 Current State: 88:[58], Operations: ['55+32=87', '92-63=29', '87-29=58'] Moving to Node #0,0,0 Current State: 88:[92, 150], Operations: ['55+32=87', '63+87=150'] Exploring Operation: 150-92=58, Resulting Numbers: [58] 58,88 unequal: No Solution Exploring Operation: 92+150=242, Resulting Numbers: [242] 242,88 unequal: No Solution Moving to Node #0,1,1,0 Current State: 88:[52], Operations: ['63+32=95', '95-55=40', '92-40=52'] Moving to Node #0,0,0,0 Current State: 88:[58], Operations: ['55+32=87', '63+87=150', '150-92=58'] Moving to Node #0,1,0,0 Current State: 88:[132], Operations: ['63+32=95', '92-55=37', '95+37=132'] Moving to Node #0,1,1,0 Current State: 88:[132], Operations: ['63+32=95', '95-55=40', '92+40=132'] Moving to Node #0,0,0,0 Current State: 88:[242], Operations: ['55+32=87', '63+87=150', '92+150=242'] No solution found.
0
bfs_2
Current State: 88:[63, 92, 55, 32], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [92, 32, 8] Generated Node #2: [92, 32, 8] from Operation: 63-55=8 Current State: 88:[92, 32, 8], Operations: ['63-55=8'] Exploring Operation: 32/8=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 32/8=4 Current State: 88:[92, 4], Operations: ['63-55=8', '32/8=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
sum_heuristic
[ { "content": "Make 88 with the numbers [63, 92, 55, 32] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 88:[63, 92, 55, 32], Operations: []\nExploring Operation: 55+32=87, Resulting Numbers: [63, 92, 87]\nGenerated Node #0,0: 88:[63, 92, 87] Operation: 55+32=87\nExploring Operation: 63+32=95, Resulting Numbers: [92, 55, 95]\nGenerated Node #0,1: 88:[92, 55, 95] Operation: 63+32=95\nMoving to Node #0,0\nCurrent State: 88:[63, 92, 87], Operations: ['55+32=87']\nExploring Operation: 63+87=150, Resulting Numbers: [92, 150]\nGenerated Node #0,0,0: 88:[92, 150] Operation: 63+87=150\nExploring Operation: 92-63=29, Resulting Numbers: [87, 29]\nGenerated Node #0,0,1: 88:[87, 29] Operation: 92-63=29\nMoving to Node #0,1\nCurrent State: 88:[92, 55, 95], Operations: ['63+32=95']\nExploring Operation: 92-55=37, Resulting Numbers: [95, 37]\nGenerated Node #0,1,0: 88:[95, 37] Operation: 92-55=37\nExploring Operation: 95-55=40, Resulting Numbers: [92, 40]\nGenerated Node #0,1,1: 88:[92, 40] Operation: 95-55=40\nMoving to Node #0,1,1\nCurrent State: 88:[92, 40], Operations: ['63+32=95', '95-55=40']\nExploring Operation: 92+40=132, Resulting Numbers: [132]\n132,88 unequal: No Solution\nExploring Operation: 92-40=52, Resulting Numbers: [52]\n52,88 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 88:[95, 37], Operations: ['63+32=95', '92-55=37']\nExploring Operation: 95+37=132, Resulting Numbers: [132]\n132,88 unequal: No Solution\nExploring Operation: 95-37=58, Resulting Numbers: [58]\n58,88 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 88:[87, 29], Operations: ['55+32=87', '92-63=29']\nExploring Operation: 87+29=116, Resulting Numbers: [116]\n116,88 unequal: No Solution\nExploring Operation: 87-29=58, Resulting Numbers: [58]\n58,88 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 88:[58], Operations: ['63+32=95', '92-55=37', '95-37=58']\nMoving to Node #0,0,1,0\nCurrent State: 88:[116], Operations: ['55+32=87', '92-63=29', '87+29=116']\nMoving to Node #0,0,1,0\nCurrent State: 88:[58], Operations: ['55+32=87', '92-63=29', '87-29=58']\nMoving to Node #0,0,0\nCurrent State: 88:[92, 150], Operations: ['55+32=87', '63+87=150']\nExploring Operation: 150-92=58, Resulting Numbers: [58]\n58,88 unequal: No Solution\nExploring Operation: 92+150=242, Resulting Numbers: [242]\n242,88 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 88:[52], Operations: ['63+32=95', '95-55=40', '92-40=52']\nMoving to Node #0,0,0,0\nCurrent State: 88:[58], Operations: ['55+32=87', '63+87=150', '150-92=58']\nMoving to Node #0,1,0,0\nCurrent State: 88:[132], Operations: ['63+32=95', '92-55=37', '95+37=132']\nMoving to Node #0,1,1,0\nCurrent State: 88:[132], Operations: ['63+32=95', '95-55=40', '92+40=132']\nMoving to Node #0,0,0,0\nCurrent State: 88:[242], Operations: ['55+32=87', '63+87=150', '92+150=242']\nNo solution found.", "role": "assistant" } ]
[ 35, 13, 55, 35 ]
42
[ "35+13=48", "55+35=90", "90-48=42" ]
Current State: 42:[35, 13, 55, 35], Operations: [] Exploring Operation: 55-13=42, Resulting Numbers: [35, 35, 42] Generated Node #0,0: 42:[35, 35, 42] Operation: 55-13=42 Exploring Operation: 55-35=20, Resulting Numbers: [13, 35, 20] Generated Node #0,1: 42:[13, 35, 20] Operation: 55-35=20 Exploring Operation: 55-35=20, Resulting Numbers: [35, 13, 20] Generated Node #0,2: 42:[35, 13, 20] Operation: 55-35=20 Moving to Node #0,1 Current State: 42:[13, 35, 20], Operations: ['55-35=20'] Exploring Operation: 35-13=22, Resulting Numbers: [20, 22] Generated Node #0,1,0: 42:[20, 22] Operation: 35-13=22 Exploring Operation: 35-20=15, Resulting Numbers: [13, 15] Generated Node #0,1,1: 42:[13, 15] Operation: 35-20=15 Exploring Operation: 13+35=48, Resulting Numbers: [20, 48] Generated Node #0,1,2: 42:[20, 48] Operation: 13+35=48 Moving to Node #0,2 Current State: 42:[35, 13, 20], Operations: ['55-35=20'] Exploring Operation: 35-13=22, Resulting Numbers: [20, 22] Generated Node #0,2,0: 42:[20, 22] Operation: 35-13=22 Exploring Operation: 35+13=48, Resulting Numbers: [20, 48] Generated Node #0,2,1: 42:[20, 48] Operation: 35+13=48 Exploring Operation: 35-20=15, Resulting Numbers: [13, 15] Generated Node #0,2,2: 42:[13, 15] Operation: 35-20=15 Moving to Node #0,0 Current State: 42:[35, 35, 42], Operations: ['55-13=42'] Exploring Operation: 42-35=7, Resulting Numbers: [35, 7] Generated Node #0,0,0: 42:[35, 7] Operation: 42-35=7 Exploring Operation: 35-35=0, Resulting Numbers: [42, 0] Generated Node #0,0,1: 42:[42, 0] Operation: 35-35=0 Exploring Operation: 35/35=1, Resulting Numbers: [42, 1] Generated Node #0,0,2: 42:[42, 1] Operation: 35/35=1 Moving to Node #0,0,2 Current State: 42:[42, 1], Operations: ['55-13=42', '35/35=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
0.987847
bfs_3
Current State: 42:[35, 13, 55, 35], Operations: [] Exploring Operation: 35+13=48, Resulting Numbers: [55, 48] Generated Node #2: [55, 48] from Operation: 35+13=48 Current State: 42:[55, 48], Operations: ['35+13=48'] Exploring Operation: 55+35=90, Resulting Numbers: [48, 90] Generated Node #3: [48, 90] from Operation: 55+35=90 Current State: 42:[48, 90], Operations: ['35+13=48', '55+35=90'] Exploring Operation: 90-48=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
mult_heuristic
[ { "content": "Make 42 with the numbers [35, 13, 55, 35] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 42:[35, 13, 55, 35], Operations: []\nExploring Operation: 55-13=42, Resulting Numbers: [35, 35, 42]\nGenerated Node #0,0: 42:[35, 35, 42] Operation: 55-13=42\nExploring Operation: 55-35=20, Resulting Numbers: [13, 35, 20]\nGenerated Node #0,1: 42:[13, 35, 20] Operation: 55-35=20\nExploring Operation: 55-35=20, Resulting Numbers: [35, 13, 20]\nGenerated Node #0,2: 42:[35, 13, 20] Operation: 55-35=20\nMoving to Node #0,1\nCurrent State: 42:[13, 35, 20], Operations: ['55-35=20']\nExploring Operation: 35-13=22, Resulting Numbers: [20, 22]\nGenerated Node #0,1,0: 42:[20, 22] Operation: 35-13=22\nExploring Operation: 35-20=15, Resulting Numbers: [13, 15]\nGenerated Node #0,1,1: 42:[13, 15] Operation: 35-20=15\nExploring Operation: 13+35=48, Resulting Numbers: [20, 48]\nGenerated Node #0,1,2: 42:[20, 48] Operation: 13+35=48\nMoving to Node #0,2\nCurrent State: 42:[35, 13, 20], Operations: ['55-35=20']\nExploring Operation: 35-13=22, Resulting Numbers: [20, 22]\nGenerated Node #0,2,0: 42:[20, 22] Operation: 35-13=22\nExploring Operation: 35+13=48, Resulting Numbers: [20, 48]\nGenerated Node #0,2,1: 42:[20, 48] Operation: 35+13=48\nExploring Operation: 35-20=15, Resulting Numbers: [13, 15]\nGenerated Node #0,2,2: 42:[13, 15] Operation: 35-20=15\nMoving to Node #0,0\nCurrent State: 42:[35, 35, 42], Operations: ['55-13=42']\nExploring Operation: 42-35=7, Resulting Numbers: [35, 7]\nGenerated Node #0,0,0: 42:[35, 7] Operation: 42-35=7\nExploring Operation: 35-35=0, Resulting Numbers: [42, 0]\nGenerated Node #0,0,1: 42:[42, 0] Operation: 35-35=0\nExploring Operation: 35/35=1, Resulting Numbers: [42, 1]\nGenerated Node #0,0,2: 42:[42, 1] Operation: 35/35=1\nMoving to Node #0,0,2\nCurrent State: 42:[42, 1], Operations: ['55-13=42', '35/35=1']\nExploring Operation: 42*1=42, Resulting Numbers: [42]\n42,42 equal: Goal Reached\n", "role": "assistant" } ]
[ 47, 29, 34, 96 ]
44
[ "47-29=18", "96-34=62", "62-18=44" ]
Current State: 44:[47, 29, 34, 96], Operations: [] Exploring Operation: 96-47=49, Resulting Numbers: [29, 34, 49] Generated Node #0,0: 44:[29, 34, 49] Operation: 96-47=49 Moving to Node #0,0 Current State: 44:[29, 34, 49], Operations: ['96-47=49'] Exploring Operation: 29+34=63, Resulting Numbers: [49, 63] Generated Node #0,0,0: 44:[49, 63] Operation: 29+34=63 Moving to Node #0,0,0 Current State: 44:[49, 63], Operations: ['96-47=49', '29+34=63'] Exploring Operation: 63-49=14, Resulting Numbers: [14] 14,44 unequal: No Solution Moving to Node #0,0 Current State: 44:[29, 34, 49], Operations: ['96-47=49'] Exploring Operation: 49-29=20, Resulting Numbers: [34, 20] Generated Node #0,0,1: 44:[34, 20] Operation: 49-29=20 Moving to Node #0,0,1 Current State: 44:[34, 20], Operations: ['96-47=49', '49-29=20'] Exploring Operation: 34+20=54, Resulting Numbers: [54] 54,44 unequal: No Solution Moving to Node #0,0,1 Current State: 44:[34, 20], Operations: ['96-47=49', '49-29=20'] Exploring Operation: 34-20=14, Resulting Numbers: [14] 14,44 unequal: No Solution Moving to Node #0,0 Current State: 44:[29, 34, 49], Operations: ['96-47=49'] Exploring Operation: 34-29=5, Resulting Numbers: [49, 5] Generated Node #0,0,2: 44:[49, 5] Operation: 34-29=5 Moving to Node #0,0,2 Current State: 44:[49, 5], Operations: ['96-47=49', '34-29=5'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
0.992188
dfs
Current State: 44:[47, 29, 34, 96], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [34, 96, 18] Generated Node #2: [34, 96, 18] from Operation: 47-29=18 Current State: 44:[34, 96, 18], Operations: ['47-29=18'] Exploring Operation: 96-34=62, Resulting Numbers: [18, 62] Generated Node #3: [18, 62] from Operation: 96-34=62 Current State: 44:[18, 62], Operations: ['47-29=18', '96-34=62'] Exploring Operation: 62-18=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
sum_heuristic
[ { "content": "Make 44 with the numbers [47, 29, 34, 96] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 44:[47, 29, 34, 96], Operations: []\nExploring Operation: 96-47=49, Resulting Numbers: [29, 34, 49]\nGenerated Node #0,0: 44:[29, 34, 49] Operation: 96-47=49\nMoving to Node #0,0\nCurrent State: 44:[29, 34, 49], Operations: ['96-47=49']\nExploring Operation: 29+34=63, Resulting Numbers: [49, 63]\nGenerated Node #0,0,0: 44:[49, 63] Operation: 29+34=63\nMoving to Node #0,0,0\nCurrent State: 44:[49, 63], Operations: ['96-47=49', '29+34=63']\nExploring Operation: 63-49=14, Resulting Numbers: [14]\n14,44 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 44:[29, 34, 49], Operations: ['96-47=49']\nExploring Operation: 49-29=20, Resulting Numbers: [34, 20]\nGenerated Node #0,0,1: 44:[34, 20] Operation: 49-29=20\nMoving to Node #0,0,1\nCurrent State: 44:[34, 20], Operations: ['96-47=49', '49-29=20']\nExploring Operation: 34+20=54, Resulting Numbers: [54]\n54,44 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 44:[34, 20], Operations: ['96-47=49', '49-29=20']\nExploring Operation: 34-20=14, Resulting Numbers: [14]\n14,44 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 44:[29, 34, 49], Operations: ['96-47=49']\nExploring Operation: 34-29=5, Resulting Numbers: [49, 5]\nGenerated Node #0,0,2: 44:[49, 5] Operation: 34-29=5\nMoving to Node #0,0,2\nCurrent State: 44:[49, 5], Operations: ['96-47=49', '34-29=5']\nExploring Operation: 49-5=44, Resulting Numbers: [44]\n44,44 equal: Goal Reached\n", "role": "assistant" } ]
[ 23, 55, 86, 2 ]
82
[ "23+55=78", "86+78=164", "164/2=82" ]
Current State: 82:[23, 55, 86, 2], Operations: [] Exploring Operation: 86-23=63, Resulting Numbers: [55, 2, 63] Generated Node #0,0: 82:[55, 2, 63] Operation: 86-23=63 Exploring Operation: 23+55=78, Resulting Numbers: [86, 2, 78] Generated Node #0,1: 82:[86, 2, 78] Operation: 23+55=78 Exploring Operation: 23*2=46, Resulting Numbers: [55, 86, 46] Generated Node #0,2: 82:[55, 86, 46] Operation: 23*2=46 Exploring Operation: 55-23=32, Resulting Numbers: [86, 2, 32] Generated Node #0,3: 82:[86, 2, 32] Operation: 55-23=32 Exploring Operation: 86-55=31, Resulting Numbers: [23, 2, 31] Generated Node #0,4: 82:[23, 2, 31] Operation: 86-55=31 Moving to Node #0,1 Current State: 82:[86, 2, 78], Operations: ['23+55=78'] Exploring Operation: 78/2=39, Resulting Numbers: [86, 39] Generated Node #0,1,0: 82:[86, 39] Operation: 78/2=39 Exploring Operation: 2+78=80, Resulting Numbers: [86, 80] Generated Node #0,1,1: 82:[86, 80] Operation: 2+78=80 Exploring Operation: 86-78=8, Resulting Numbers: [2, 8] Generated Node #0,1,2: 82:[2, 8] Operation: 86-78=8 Exploring Operation: 86-2=84, Resulting Numbers: [78, 84] Generated Node #0,1,3: 82:[78, 84] Operation: 86-2=84 Exploring Operation: 86/2=43, Resulting Numbers: [78, 43] Generated Node #0,1,4: 82:[78, 43] Operation: 86/2=43 Moving to Node #0,3 Current State: 82:[86, 2, 32], Operations: ['55-23=32'] Exploring Operation: 86+2=88, Resulting Numbers: [32, 88] Generated Node #0,3,0: 82:[32, 88] Operation: 86+2=88 Exploring Operation: 86-2=84, Resulting Numbers: [32, 84] Generated Node #0,3,1: 82:[32, 84] Operation: 86-2=84 Exploring Operation: 86/2=43, Resulting Numbers: [32, 43] Generated Node #0,3,2: 82:[32, 43] Operation: 86/2=43 Exploring Operation: 2+32=34, Resulting Numbers: [86, 34] Generated Node #0,3,3: 82:[86, 34] Operation: 2+32=34 Exploring Operation: 86-32=54, Resulting Numbers: [2, 54] Generated Node #0,3,4: 82:[2, 54] Operation: 86-32=54 Moving to Node #0,2 Current State: 82:[55, 86, 46], Operations: ['23*2=46'] Exploring Operation: 86-55=31, Resulting Numbers: [46, 31] Generated Node #0,2,0: 82:[46, 31] Operation: 86-55=31 Exploring Operation: 55+46=101, Resulting Numbers: [86, 101] Generated Node #0,2,1: 82:[86, 101] Operation: 55+46=101 Exploring Operation: 55-46=9, Resulting Numbers: [86, 9] Generated Node #0,2,2: 82:[86, 9] Operation: 55-46=9 Exploring Operation: 86-46=40, Resulting Numbers: [55, 40] Generated Node #0,2,3: 82:[55, 40] Operation: 86-46=40 Exploring Operation: 55+86=141, Resulting Numbers: [46, 141] Generated Node #0,2,4: 82:[46, 141] Operation: 55+86=141 Moving to Node #0,4 Current State: 82:[23, 2, 31], Operations: ['86-55=31'] Exploring Operation: 23+31=54, Resulting Numbers: [2, 54] Generated Node #0,4,0: 82:[2, 54] Operation: 23+31=54 Exploring Operation: 23+2=25, Resulting Numbers: [31, 25] Generated Node #0,4,1: 82:[31, 25] Operation: 23+2=25 Exploring Operation: 23*2=46, Resulting Numbers: [31, 46] Generated Node #0,4,2: 82:[31, 46] Operation: 23*2=46 Exploring Operation: 31-23=8, Resulting Numbers: [2, 8] Generated Node #0,4,3: 82:[2, 8] Operation: 31-23=8 Exploring Operation: 2+31=33, Resulting Numbers: [23, 33] Generated Node #0,4,4: 82:[23, 33] Operation: 2+31=33 Moving to Node #0,0 Current State: 82:[55, 2, 63], Operations: ['86-23=63'] Exploring Operation: 55-2=53, Resulting Numbers: [63, 53] Generated Node #0,0,0: 82:[63, 53] Operation: 55-2=53 Exploring Operation: 63-55=8, Resulting Numbers: [2, 8] Generated Node #0,0,1: 82:[2, 8] Operation: 63-55=8 Exploring Operation: 63-2=61, Resulting Numbers: [55, 61] Generated Node #0,0,2: 82:[55, 61] Operation: 63-2=61 Exploring Operation: 2+63=65, Resulting Numbers: [55, 65] Generated Node #0,0,3: 82:[55, 65] Operation: 2+63=65 Exploring Operation: 55+2=57, Resulting Numbers: [63, 57] Generated Node #0,0,4: 82:[63, 57] Operation: 55+2=57 Moving to Node #0,1,0 Current State: 82:[86, 39], Operations: ['23+55=78', '78/2=39'] Exploring Operation: 86+39=125, Resulting Numbers: [125] 125,82 unequal: No Solution Exploring Operation: 86*39=3354, Resulting Numbers: [3354] 3354,82 unequal: No Solution Exploring Operation: 86-39=47, Resulting Numbers: [47] 47,82 unequal: No Solution Moving to Node #0,1,2 Current State: 82:[2, 8], Operations: ['23+55=78', '86-78=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,82 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,82 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,82 unequal: No Solution Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,82 unequal: No Solution Moving to Node #0,1,1 Current State: 82:[86, 80], Operations: ['23+55=78', '2+78=80'] Exploring Operation: 86*80=6880, Resulting Numbers: [6880] 6880,82 unequal: No Solution Exploring Operation: 86-80=6, Resulting Numbers: [6] 6,82 unequal: No Solution Exploring Operation: 86+80=166, Resulting Numbers: [166] 166,82 unequal: No Solution Moving to Node #0,1,4 Current State: 82:[78, 43], Operations: ['23+55=78', '86/2=43'] Exploring Operation: 78-43=35, Resulting Numbers: [35] 35,82 unequal: No Solution Exploring Operation: 78+43=121, Resulting Numbers: [121] 121,82 unequal: No Solution Exploring Operation: 78*43=3354, Resulting Numbers: [3354] 3354,82 unequal: No Solution Moving to Node #0,0,1 Current State: 82:[2, 8], Operations: ['86-23=63', '63-55=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,82 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,82 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,82 unequal: No Solution Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,82 unequal: No Solution Moving to Node #0,1,2,0 Current State: 82:[4], Operations: ['23+55=78', '86-78=8', '8/2=4'] Moving to Node #0,0,1,0 Current State: 82:[4], Operations: ['86-23=63', '63-55=8', '8/2=4'] Moving to Node #0,1,2,0 Current State: 82:[6], Operations: ['23+55=78', '86-78=8', '8-2=6'] Moving to Node #0,1,1,0 Current State: 82:[6], Operations: ['23+55=78', '2+78=80', '86-80=6'] Moving to Node #0,0,1,0 Current State: 82:[6], Operations: ['86-23=63', '63-55=8', '8-2=6'] Moving to Node #0,1,4,0 Current State: 82:[35], Operations: ['23+55=78', '86/2=43', '78-43=35'] Moving to Node #0,1,3 Current State: 82:[78, 84], Operations: ['23+55=78', '86-2=84'] Exploring Operation: 78+84=162, Resulting Numbers: [162] 162,82 unequal: No Solution Exploring Operation: 84-78=6, Resulting Numbers: [6] 6,82 unequal: No Solution Exploring Operation: 78*84=6552, Resulting Numbers: [6552] 6552,82 unequal: No Solution Moving to Node #0,1,0,0 Current State: 82:[47], Operations: ['23+55=78', '78/2=39', '86-39=47'] Moving to Node #0,4,3 Current State: 82:[2, 8], Operations: ['86-55=31', '31-23=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,82 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,82 unequal: No Solution Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,82 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,82 unequal: No Solution Moving to Node #0,1,2,0 Current State: 82:[10], Operations: ['23+55=78', '86-78=8', '2+8=10'] Moving to Node #0,4,3,0 Current State: 82:[4], Operations: ['86-55=31', '31-23=8', '8/2=4'] Moving to Node #0,1,3,0 Current State: 82:[6], Operations: ['23+55=78', '86-2=84', '84-78=6'] Moving to Node #0,4,3,0 Current State: 82:[6], Operations: ['86-55=31', '31-23=8', '8-2=6'] Moving to Node #0,0,1,0 Current State: 82:[10], Operations: ['86-23=63', '63-55=8', '2+8=10'] Moving to Node #0,4,3,0 Current State: 82:[10], Operations: ['86-55=31', '31-23=8', '2+8=10'] Moving to Node #0,3,2 Current State: 82:[32, 43], Operations: ['55-23=32', '86/2=43'] Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,82 unequal: No Solution Exploring Operation: 32*43=1376, Resulting Numbers: [1376] 1376,82 unequal: No Solution Exploring Operation: 32+43=75, Resulting Numbers: [75] 75,82 unequal: No Solution Moving to Node #0,3,1 Current State: 82:[32, 84], Operations: ['55-23=32', '86-2=84'] Exploring Operation: 32+84=116, Resulting Numbers: [116] 116,82 unequal: No Solution Exploring Operation: 84-32=52, Resulting Numbers: [52] 52,82 unequal: No Solution Exploring Operation: 32*84=2688, Resulting Numbers: [2688] 2688,82 unequal: No Solution Moving to Node #0,2,2 Current State: 82:[86, 9], Operations: ['23*2=46', '55-46=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,82 unequal: No Solution Exploring Operation: 86*9=774, Resulting Numbers: [774] 774,82 unequal: No Solution Exploring Operation: 86+9=95, Resulting Numbers: [95] 95,82 unequal: No Solution Moving to Node #0,3,3 Current State: 82:[86, 34], Operations: ['55-23=32', '2+32=34'] Exploring Operation: 86+34=120, Resulting Numbers: [120] 120,82 unequal: No Solution Exploring Operation: 86*34=2924, Resulting Numbers: [2924] 2924,82 unequal: No Solution Exploring Operation: 86-34=52, Resulting Numbers: [52] 52,82 unequal: No Solution Moving to Node #0,3,4 Current State: 82:[2, 54], Operations: ['55-23=32', '86-32=54'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,82 unequal: No Solution Exploring Operation: 2+54=56, Resulting Numbers: [56] 56,82 unequal: No Solution Exploring Operation: 2*54=108, Resulting Numbers: [108] 108,82 unequal: No Solution Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,82 unequal: No Solution Moving to Node #0,2,2,0 Current State: 82:[77], Operations: ['23*2=46', '55-46=9', '86-9=77'] Moving to Node #0,3,2,0 Current State: 82:[75], Operations: ['55-23=32', '86/2=43', '32+43=75'] Moving to Node #0,3,2,0 Current State: 82:[11], Operations: ['55-23=32', '86/2=43', '43-32=11'] Moving to Node #0,3,1,0 Current State: 82:[52], Operations: ['55-23=32', '86-2=84', '84-32=52'] Moving to Node #0,3,3,0 Current State: 82:[52], Operations: ['55-23=32', '2+32=34', '86-34=52'] Moving to Node #0,3,4,0 Current State: 82:[52], Operations: ['55-23=32', '86-32=54', '54-2=52'] Moving to Node #0,4,0 Current State: 82:[2, 54], Operations: ['86-55=31', '23+31=54'] Exploring Operation: 2*54=108, Resulting Numbers: [108] 108,82 unequal: No Solution Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,82 unequal: No Solution Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,82 unequal: No Solution Exploring Operation: 2+54=56, Resulting Numbers: [56] 56,82 unequal: No Solution Moving to Node #0,2,2,0 Current State: 82:[95], Operations: ['23*2=46', '55-46=9', '86+9=95'] Moving to Node #0,0,1,0 Current State: 82:[16], Operations: ['86-23=63', '63-55=8', '2*8=16'] Moving to Node #0,1,2,0 Current State: 82:[16], Operations: ['23+55=78', '86-78=8', '2*8=16'] Moving to Node #0,4,0,0 Current State: 82:[52], Operations: ['86-55=31', '23+31=54', '54-2=52'] Moving to Node #0,3,4,0 Current State: 82:[27], Operations: ['55-23=32', '86-32=54', '54/2=27'] Moving to Node #0,4,3,0 Current State: 82:[16], Operations: ['86-55=31', '31-23=8', '2*8=16'] Moving to Node #0,4,0,0 Current State: 82:[27], Operations: ['86-55=31', '23+31=54', '54/2=27'] Moving to Node #0,4,2 Current State: 82:[31, 46], Operations: ['86-55=31', '23*2=46'] Exploring Operation: 46-31=15, Resulting Numbers: [15] 15,82 unequal: No Solution Exploring Operation: 31*46=1426, Resulting Numbers: [1426] 1426,82 unequal: No Solution Exploring Operation: 31+46=77, Resulting Numbers: [77] 77,82 unequal: No Solution Moving to Node #0,4,2,0 Current State: 82:[77], Operations: ['86-55=31', '23*2=46', '31+46=77'] Moving to Node #0,4,2,0 Current State: 82:[15], Operations: ['86-55=31', '23*2=46', '46-31=15'] Moving to Node #0,3,4,0 Current State: 82:[56], Operations: ['55-23=32', '86-32=54', '2+54=56'] Moving to Node #0,2,3 Current State: 82:[55, 40], Operations: ['23*2=46', '86-46=40'] Exploring Operation: 55*40=2200, Resulting Numbers: [2200] 2200,82 unequal: No Solution Exploring Operation: 55+40=95, Resulting Numbers: [95] 95,82 unequal: No Solution Exploring Operation: 55-40=15, Resulting Numbers: [15] 15,82 unequal: No Solution Moving to Node #0,2,0 Current State: 82:[46, 31], Operations: ['23*2=46', '86-55=31'] Exploring Operation: 46+31=77, Resulting Numbers: [77] 77,82 unequal: No Solution Exploring Operation: 46*31=1426, Resulting Numbers: [1426] 1426,82 unequal: No Solution Exploring Operation: 46-31=15, Resulting Numbers: [15] 15,82 unequal: No Solution Moving to Node #0,2,0,0 Current State: 82:[77], Operations: ['23*2=46', '86-55=31', '46+31=77'] Moving to Node #0,2,3,0 Current State: 82:[95], Operations: ['23*2=46', '86-46=40', '55+40=95'] Moving to Node #0,2,3,0 Current State: 82:[15], Operations: ['23*2=46', '86-46=40', '55-40=15'] Moving to Node #0,2,0,0 Current State: 82:[15], Operations: ['23*2=46', '86-55=31', '46-31=15'] Moving to Node #0,3,0 Current State: 82:[32, 88], Operations: ['55-23=32', '86+2=88'] Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,82 unequal: No Solution Exploring Operation: 32*88=2816, Resulting Numbers: [2816] 2816,82 unequal: No Solution Exploring Operation: 32+88=120, Resulting Numbers: [120] 120,82 unequal: No Solution Moving to Node #0,4,0,0 Current State: 82:[56], Operations: ['86-55=31', '23+31=54', '2+54=56'] Moving to Node #0,3,0,0 Current State: 82:[56], Operations: ['55-23=32', '86+2=88', '88-32=56'] Moving to Node #0,2,1 Current State: 82:[86, 101], Operations: ['23*2=46', '55+46=101'] Exploring Operation: 101-86=15, Resulting Numbers: [15] 15,82 unequal: No Solution Exploring Operation: 86+101=187, Resulting Numbers: [187] 187,82 unequal: No Solution Exploring Operation: 86*101=8686, Resulting Numbers: [8686] 8686,82 unequal: No Solution Moving to Node #0,4,4 Current State: 82:[23, 33], Operations: ['86-55=31', '2+31=33'] Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,82 unequal: No Solution Exploring Operation: 23*33=759, Resulting Numbers: [759] 759,82 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,82 unequal: No Solution Moving to Node #0,3,4,0 Current State: 82:[108], Operations: ['55-23=32', '86-32=54', '2*54=108'] Moving to Node #0,4,4,0 Current State: 82:[10], Operations: ['86-55=31', '2+31=33', '33-23=10'] Moving to Node #0,2,1,0 Current State: 82:[15], Operations: ['23*2=46', '55+46=101', '101-86=15'] Moving to Node #0,4,4,0 Current State: 82:[56], Operations: ['86-55=31', '2+31=33', '23+33=56'] Moving to Node #0,4,0,0 Current State: 82:[108], Operations: ['86-55=31', '23+31=54', '2*54=108'] Moving to Node #0,4,1 Current State: 82:[31, 25], Operations: ['86-55=31', '23+2=25'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,82 unequal: No Solution Exploring Operation: 31+25=56, Resulting Numbers: [56] 56,82 unequal: No Solution Exploring Operation: 31*25=775, Resulting Numbers: [775] 775,82 unequal: No Solution Moving to Node #0,4,1,0 Current State: 82:[6], Operations: ['86-55=31', '23+2=25', '31-25=6'] Moving to Node #0,4,1,0 Current State: 82:[56], Operations: ['86-55=31', '23+2=25', '31+25=56'] Moving to Node #0,0,0 Current State: 82:[63, 53], Operations: ['86-23=63', '55-2=53'] Exploring Operation: 63+53=116, Resulting Numbers: [116] 116,82 unequal: No Solution Exploring Operation: 63-53=10, Resulting Numbers: [10] 10,82 unequal: No Solution Exploring Operation: 63*53=3339, Resulting Numbers: [3339] 3339,82 unequal: No Solution Moving to Node #0,0,3 Current State: 82:[55, 65], Operations: ['86-23=63', '2+63=65'] Exploring Operation: 65-55=10, Resulting Numbers: [10] 10,82 unequal: No Solution Exploring Operation: 55*65=3575, Resulting Numbers: [3575] 3575,82 unequal: No Solution Exploring Operation: 55+65=120, Resulting Numbers: [120] 120,82 unequal: No Solution Moving to Node #0,3,1,0 Current State: 82:[116], Operations: ['55-23=32', '86-2=84', '32+84=116'] Moving to Node #0,0,0,0 Current State: 82:[10], Operations: ['86-23=63', '55-2=53', '63-53=10'] Moving to Node #0,0,3,0 Current State: 82:[10], Operations: ['86-23=63', '2+63=65', '65-55=10'] Moving to Node #0,0,2 Current State: 82:[55, 61], Operations: ['86-23=63', '63-2=61'] Exploring Operation: 55+61=116, Resulting Numbers: [116] 116,82 unequal: No Solution Exploring Operation: 55*61=3355, Resulting Numbers: [3355] 3355,82 unequal: No Solution Exploring Operation: 61-55=6, Resulting Numbers: [6] 6,82 unequal: No Solution Moving to Node #0,0,0,0 Current State: 82:[116], Operations: ['86-23=63', '55-2=53', '63+53=116'] Moving to Node #0,0,4 Current State: 82:[63, 57], Operations: ['86-23=63', '55+2=57'] Exploring Operation: 63+57=120, Resulting Numbers: [120] 120,82 unequal: No Solution Exploring Operation: 63-57=6, Resulting Numbers: [6] 6,82 unequal: No Solution Exploring Operation: 63*57=3591, Resulting Numbers: [3591] 3591,82 unequal: No Solution Moving to Node #0,0,2,0 Current State: 82:[6], Operations: ['86-23=63', '63-2=61', '61-55=6'] Moving to Node #0,0,4,0 Current State: 82:[6], Operations: ['86-23=63', '55+2=57', '63-57=6'] Moving to Node #0,0,2,0 Current State: 82:[116], Operations: ['86-23=63', '63-2=61', '55+61=116'] Moving to Node #0,0,3,0 Current State: 82:[120], Operations: ['86-23=63', '2+63=65', '55+65=120'] Moving to Node #0,0,4,0 Current State: 82:[120], Operations: ['86-23=63', '55+2=57', '63+57=120'] Moving to Node #0,3,0,0 Current State: 82:[120], Operations: ['55-23=32', '86+2=88', '32+88=120'] Moving to Node #0,3,3,0 Current State: 82:[120], Operations: ['55-23=32', '2+32=34', '86+34=120'] Moving to Node #0,1,4,0 Current State: 82:[121], Operations: ['23+55=78', '86/2=43', '78+43=121'] Moving to Node #0,1,0,0 Current State: 82:[125], Operations: ['23+55=78', '78/2=39', '86+39=125'] Moving to Node #0,2,4 Current State: 82:[46, 141], Operations: ['23*2=46', '55+86=141'] Exploring Operation: 46*141=6486, Resulting Numbers: [6486] 6486,82 unequal: No Solution Exploring Operation: 46+141=187, Resulting Numbers: [187] 187,82 unequal: No Solution Exploring Operation: 141-46=95, Resulting Numbers: [95] 95,82 unequal: No Solution Moving to Node #0,2,4,0 Current State: 82:[95], Operations: ['23*2=46', '55+86=141', '141-46=95'] Moving to Node #0,1,3,0 Current State: 82:[162], Operations: ['23+55=78', '86-2=84', '78+84=162'] Moving to Node #0,1,1,0 Current State: 82:[166], Operations: ['23+55=78', '2+78=80', '86+80=166'] Moving to Node #0,2,1,0 Current State: 82:[187], Operations: ['23*2=46', '55+46=101', '86+101=187'] Moving to Node #0,2,4,0 Current State: 82:[187], Operations: ['23*2=46', '55+86=141', '46+141=187'] Moving to Node #0,4,4,0 Current State: 82:[759], Operations: ['86-55=31', '2+31=33', '23*33=759'] Moving to Node #0,2,2,0 Current State: 82:[774], Operations: ['23*2=46', '55-46=9', '86*9=774'] Moving to Node #0,4,1,0 Current State: 82:[775], Operations: ['86-55=31', '23+2=25', '31*25=775'] Moving to Node #0,3,2,0 Current State: 82:[1376], Operations: ['55-23=32', '86/2=43', '32*43=1376'] Moving to Node #0,2,0,0 Current State: 82:[1426], Operations: ['23*2=46', '86-55=31', '46*31=1426'] Moving to Node #0,4,2,0 Current State: 82:[1426], Operations: ['86-55=31', '23*2=46', '31*46=1426'] Moving to Node #0,2,3,0 Current State: 82:[2200], Operations: ['23*2=46', '86-46=40', '55*40=2200'] Moving to Node #0,3,1,0 Current State: 82:[2688], Operations: ['55-23=32', '86-2=84', '32*84=2688'] Moving to Node #0,3,0,0 Current State: 82:[2816], Operations: ['55-23=32', '86+2=88', '32*88=2816'] Moving to Node #0,3,3,0 Current State: 82:[2924], Operations: ['55-23=32', '2+32=34', '86*34=2924'] Moving to Node #0,0,0,0 Current State: 82:[3339], Operations: ['86-23=63', '55-2=53', '63*53=3339'] Moving to Node #0,1,4,0 Current State: 82:[3354], Operations: ['23+55=78', '86/2=43', '78*43=3354'] Moving to Node #0,1,0,0 Current State: 82:[3354], Operations: ['23+55=78', '78/2=39', '86*39=3354'] Moving to Node #0,0,2,0 Current State: 82:[3355], Operations: ['86-23=63', '63-2=61', '55*61=3355'] Moving to Node #0,0,3,0 Current State: 82:[3575], Operations: ['86-23=63', '2+63=65', '55*65=3575'] Moving to Node #0,0,4,0 Current State: 82:[3591], Operations: ['86-23=63', '55+2=57', '63*57=3591'] Moving to Node #0,2,4,0 Current State: 82:[6486], Operations: ['23*2=46', '55+86=141', '46*141=6486'] Moving to Node #0,1,3,0 Current State: 82:[6552], Operations: ['23+55=78', '86-2=84', '78*84=6552'] Moving to Node #0,1,1,0 Current State: 82:[6880], Operations: ['23+55=78', '2+78=80', '86*80=6880'] Moving to Node #0,2,1,0 Current State: 82:[8686], Operations: ['23*2=46', '55+46=101', '86*101=8686'] No solution found.
0
bfs_5
Current State: 82:[23, 55, 86, 2], Operations: [] Exploring Operation: 23+55=78, Resulting Numbers: [86, 2, 78] Generated Node #2: [86, 2, 78] from Operation: 23+55=78 Current State: 82:[86, 2, 78], Operations: ['23+55=78'] Exploring Operation: 86+78=164, Resulting Numbers: [2, 164] Generated Node #3: [2, 164] from Operation: 86+78=164 Current State: 82:[2, 164], Operations: ['23+55=78', '86+78=164'] Exploring Operation: 164/2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
mult_heuristic
[ { "content": "Make 82 with the numbers [23, 55, 86, 2] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 82:[23, 55, 86, 2], Operations: []\nExploring Operation: 86-23=63, Resulting Numbers: [55, 2, 63]\nGenerated Node #0,0: 82:[55, 2, 63] Operation: 86-23=63\nExploring Operation: 23+55=78, Resulting Numbers: [86, 2, 78]\nGenerated Node #0,1: 82:[86, 2, 78] Operation: 23+55=78\nExploring Operation: 23*2=46, Resulting Numbers: [55, 86, 46]\nGenerated Node #0,2: 82:[55, 86, 46] Operation: 23*2=46\nExploring Operation: 55-23=32, Resulting Numbers: [86, 2, 32]\nGenerated Node #0,3: 82:[86, 2, 32] Operation: 55-23=32\nExploring Operation: 86-55=31, Resulting Numbers: [23, 2, 31]\nGenerated Node #0,4: 82:[23, 2, 31] Operation: 86-55=31\nMoving to Node #0,1\nCurrent State: 82:[86, 2, 78], Operations: ['23+55=78']\nExploring Operation: 78/2=39, Resulting Numbers: [86, 39]\nGenerated Node #0,1,0: 82:[86, 39] Operation: 78/2=39\nExploring Operation: 2+78=80, Resulting Numbers: [86, 80]\nGenerated Node #0,1,1: 82:[86, 80] Operation: 2+78=80\nExploring Operation: 86-78=8, Resulting Numbers: [2, 8]\nGenerated Node #0,1,2: 82:[2, 8] Operation: 86-78=8\nExploring Operation: 86-2=84, Resulting Numbers: [78, 84]\nGenerated Node #0,1,3: 82:[78, 84] Operation: 86-2=84\nExploring Operation: 86/2=43, Resulting Numbers: [78, 43]\nGenerated Node #0,1,4: 82:[78, 43] Operation: 86/2=43\nMoving to Node #0,3\nCurrent State: 82:[86, 2, 32], Operations: ['55-23=32']\nExploring Operation: 86+2=88, Resulting Numbers: [32, 88]\nGenerated Node #0,3,0: 82:[32, 88] Operation: 86+2=88\nExploring Operation: 86-2=84, Resulting Numbers: [32, 84]\nGenerated Node #0,3,1: 82:[32, 84] Operation: 86-2=84\nExploring Operation: 86/2=43, Resulting Numbers: [32, 43]\nGenerated Node #0,3,2: 82:[32, 43] Operation: 86/2=43\nExploring Operation: 2+32=34, Resulting Numbers: [86, 34]\nGenerated Node #0,3,3: 82:[86, 34] Operation: 2+32=34\nExploring Operation: 86-32=54, Resulting Numbers: [2, 54]\nGenerated Node #0,3,4: 82:[2, 54] Operation: 86-32=54\nMoving to Node #0,2\nCurrent State: 82:[55, 86, 46], Operations: ['23*2=46']\nExploring Operation: 86-55=31, Resulting Numbers: [46, 31]\nGenerated Node #0,2,0: 82:[46, 31] Operation: 86-55=31\nExploring Operation: 55+46=101, Resulting Numbers: [86, 101]\nGenerated Node #0,2,1: 82:[86, 101] Operation: 55+46=101\nExploring Operation: 55-46=9, Resulting Numbers: [86, 9]\nGenerated Node #0,2,2: 82:[86, 9] Operation: 55-46=9\nExploring Operation: 86-46=40, Resulting Numbers: [55, 40]\nGenerated Node #0,2,3: 82:[55, 40] Operation: 86-46=40\nExploring Operation: 55+86=141, Resulting Numbers: [46, 141]\nGenerated Node #0,2,4: 82:[46, 141] Operation: 55+86=141\nMoving to Node #0,4\nCurrent State: 82:[23, 2, 31], Operations: ['86-55=31']\nExploring Operation: 23+31=54, Resulting Numbers: [2, 54]\nGenerated Node #0,4,0: 82:[2, 54] Operation: 23+31=54\nExploring Operation: 23+2=25, Resulting Numbers: [31, 25]\nGenerated Node #0,4,1: 82:[31, 25] Operation: 23+2=25\nExploring Operation: 23*2=46, Resulting Numbers: [31, 46]\nGenerated Node #0,4,2: 82:[31, 46] Operation: 23*2=46\nExploring Operation: 31-23=8, Resulting Numbers: [2, 8]\nGenerated Node #0,4,3: 82:[2, 8] Operation: 31-23=8\nExploring Operation: 2+31=33, Resulting Numbers: [23, 33]\nGenerated Node #0,4,4: 82:[23, 33] Operation: 2+31=33\nMoving to Node #0,0\nCurrent State: 82:[55, 2, 63], Operations: ['86-23=63']\nExploring Operation: 55-2=53, Resulting Numbers: [63, 53]\nGenerated Node #0,0,0: 82:[63, 53] Operation: 55-2=53\nExploring Operation: 63-55=8, Resulting Numbers: [2, 8]\nGenerated Node #0,0,1: 82:[2, 8] Operation: 63-55=8\nExploring Operation: 63-2=61, Resulting Numbers: [55, 61]\nGenerated Node #0,0,2: 82:[55, 61] Operation: 63-2=61\nExploring Operation: 2+63=65, Resulting Numbers: [55, 65]\nGenerated Node #0,0,3: 82:[55, 65] Operation: 2+63=65\nExploring Operation: 55+2=57, Resulting Numbers: [63, 57]\nGenerated Node #0,0,4: 82:[63, 57] Operation: 55+2=57\nMoving to Node #0,1,0\nCurrent State: 82:[86, 39], Operations: ['23+55=78', '78/2=39']\nExploring Operation: 86+39=125, Resulting Numbers: [125]\n125,82 unequal: No Solution\nExploring Operation: 86*39=3354, Resulting Numbers: [3354]\n3354,82 unequal: No Solution\nExploring Operation: 86-39=47, Resulting Numbers: [47]\n47,82 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 82:[2, 8], Operations: ['23+55=78', '86-78=8']\nExploring Operation: 2*8=16, Resulting Numbers: [16]\n16,82 unequal: No Solution\nExploring Operation: 8-2=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nExploring Operation: 8/2=4, Resulting Numbers: [4]\n4,82 unequal: No Solution\nExploring Operation: 2+8=10, Resulting Numbers: [10]\n10,82 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 82:[86, 80], Operations: ['23+55=78', '2+78=80']\nExploring Operation: 86*80=6880, Resulting Numbers: [6880]\n6880,82 unequal: No Solution\nExploring Operation: 86-80=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nExploring Operation: 86+80=166, Resulting Numbers: [166]\n166,82 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 82:[78, 43], Operations: ['23+55=78', '86/2=43']\nExploring Operation: 78-43=35, Resulting Numbers: [35]\n35,82 unequal: No Solution\nExploring Operation: 78+43=121, Resulting Numbers: [121]\n121,82 unequal: No Solution\nExploring Operation: 78*43=3354, Resulting Numbers: [3354]\n3354,82 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 82:[2, 8], Operations: ['86-23=63', '63-55=8']\nExploring Operation: 2+8=10, Resulting Numbers: [10]\n10,82 unequal: No Solution\nExploring Operation: 8-2=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nExploring Operation: 8/2=4, Resulting Numbers: [4]\n4,82 unequal: No Solution\nExploring Operation: 2*8=16, Resulting Numbers: [16]\n16,82 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 82:[4], Operations: ['23+55=78', '86-78=8', '8/2=4']\nMoving to Node #0,0,1,0\nCurrent State: 82:[4], Operations: ['86-23=63', '63-55=8', '8/2=4']\nMoving to Node #0,1,2,0\nCurrent State: 82:[6], Operations: ['23+55=78', '86-78=8', '8-2=6']\nMoving to Node #0,1,1,0\nCurrent State: 82:[6], Operations: ['23+55=78', '2+78=80', '86-80=6']\nMoving to Node #0,0,1,0\nCurrent State: 82:[6], Operations: ['86-23=63', '63-55=8', '8-2=6']\nMoving to Node #0,1,4,0\nCurrent State: 82:[35], Operations: ['23+55=78', '86/2=43', '78-43=35']\nMoving to Node #0,1,3\nCurrent State: 82:[78, 84], Operations: ['23+55=78', '86-2=84']\nExploring Operation: 78+84=162, Resulting Numbers: [162]\n162,82 unequal: No Solution\nExploring Operation: 84-78=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nExploring Operation: 78*84=6552, Resulting Numbers: [6552]\n6552,82 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 82:[47], Operations: ['23+55=78', '78/2=39', '86-39=47']\nMoving to Node #0,4,3\nCurrent State: 82:[2, 8], Operations: ['86-55=31', '31-23=8']\nExploring Operation: 2*8=16, Resulting Numbers: [16]\n16,82 unequal: No Solution\nExploring Operation: 8-2=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nExploring Operation: 2+8=10, Resulting Numbers: [10]\n10,82 unequal: No Solution\nExploring Operation: 8/2=4, Resulting Numbers: [4]\n4,82 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 82:[10], Operations: ['23+55=78', '86-78=8', '2+8=10']\nMoving to Node #0,4,3,0\nCurrent State: 82:[4], Operations: ['86-55=31', '31-23=8', '8/2=4']\nMoving to Node #0,1,3,0\nCurrent State: 82:[6], Operations: ['23+55=78', '86-2=84', '84-78=6']\nMoving to Node #0,4,3,0\nCurrent State: 82:[6], Operations: ['86-55=31', '31-23=8', '8-2=6']\nMoving to Node #0,0,1,0\nCurrent State: 82:[10], Operations: ['86-23=63', '63-55=8', '2+8=10']\nMoving to Node #0,4,3,0\nCurrent State: 82:[10], Operations: ['86-55=31', '31-23=8', '2+8=10']\nMoving to Node #0,3,2\nCurrent State: 82:[32, 43], Operations: ['55-23=32', '86/2=43']\nExploring Operation: 43-32=11, Resulting Numbers: [11]\n11,82 unequal: No Solution\nExploring Operation: 32*43=1376, Resulting Numbers: [1376]\n1376,82 unequal: No Solution\nExploring Operation: 32+43=75, Resulting Numbers: [75]\n75,82 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 82:[32, 84], Operations: ['55-23=32', '86-2=84']\nExploring Operation: 32+84=116, Resulting Numbers: [116]\n116,82 unequal: No Solution\nExploring Operation: 84-32=52, Resulting Numbers: [52]\n52,82 unequal: No Solution\nExploring Operation: 32*84=2688, Resulting Numbers: [2688]\n2688,82 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 82:[86, 9], Operations: ['23*2=46', '55-46=9']\nExploring Operation: 86-9=77, Resulting Numbers: [77]\n77,82 unequal: No Solution\nExploring Operation: 86*9=774, Resulting Numbers: [774]\n774,82 unequal: No Solution\nExploring Operation: 86+9=95, Resulting Numbers: [95]\n95,82 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 82:[86, 34], Operations: ['55-23=32', '2+32=34']\nExploring Operation: 86+34=120, Resulting Numbers: [120]\n120,82 unequal: No Solution\nExploring Operation: 86*34=2924, Resulting Numbers: [2924]\n2924,82 unequal: No Solution\nExploring Operation: 86-34=52, Resulting Numbers: [52]\n52,82 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 82:[2, 54], Operations: ['55-23=32', '86-32=54']\nExploring Operation: 54-2=52, Resulting Numbers: [52]\n52,82 unequal: No Solution\nExploring Operation: 2+54=56, Resulting Numbers: [56]\n56,82 unequal: No Solution\nExploring Operation: 2*54=108, Resulting Numbers: [108]\n108,82 unequal: No Solution\nExploring Operation: 54/2=27, Resulting Numbers: [27]\n27,82 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 82:[77], Operations: ['23*2=46', '55-46=9', '86-9=77']\nMoving to Node #0,3,2,0\nCurrent State: 82:[75], Operations: ['55-23=32', '86/2=43', '32+43=75']\nMoving to Node #0,3,2,0\nCurrent State: 82:[11], Operations: ['55-23=32', '86/2=43', '43-32=11']\nMoving to Node #0,3,1,0\nCurrent State: 82:[52], Operations: ['55-23=32', '86-2=84', '84-32=52']\nMoving to Node #0,3,3,0\nCurrent State: 82:[52], Operations: ['55-23=32', '2+32=34', '86-34=52']\nMoving to Node #0,3,4,0\nCurrent State: 82:[52], Operations: ['55-23=32', '86-32=54', '54-2=52']\nMoving to Node #0,4,0\nCurrent State: 82:[2, 54], Operations: ['86-55=31', '23+31=54']\nExploring Operation: 2*54=108, Resulting Numbers: [108]\n108,82 unequal: No Solution\nExploring Operation: 54-2=52, Resulting Numbers: [52]\n52,82 unequal: No Solution\nExploring Operation: 54/2=27, Resulting Numbers: [27]\n27,82 unequal: No Solution\nExploring Operation: 2+54=56, Resulting Numbers: [56]\n56,82 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 82:[95], Operations: ['23*2=46', '55-46=9', '86+9=95']\nMoving to Node #0,0,1,0\nCurrent State: 82:[16], Operations: ['86-23=63', '63-55=8', '2*8=16']\nMoving to Node #0,1,2,0\nCurrent State: 82:[16], Operations: ['23+55=78', '86-78=8', '2*8=16']\nMoving to Node #0,4,0,0\nCurrent State: 82:[52], Operations: ['86-55=31', '23+31=54', '54-2=52']\nMoving to Node #0,3,4,0\nCurrent State: 82:[27], Operations: ['55-23=32', '86-32=54', '54/2=27']\nMoving to Node #0,4,3,0\nCurrent State: 82:[16], Operations: ['86-55=31', '31-23=8', '2*8=16']\nMoving to Node #0,4,0,0\nCurrent State: 82:[27], Operations: ['86-55=31', '23+31=54', '54/2=27']\nMoving to Node #0,4,2\nCurrent State: 82:[31, 46], Operations: ['86-55=31', '23*2=46']\nExploring Operation: 46-31=15, Resulting Numbers: [15]\n15,82 unequal: No Solution\nExploring Operation: 31*46=1426, Resulting Numbers: [1426]\n1426,82 unequal: No Solution\nExploring Operation: 31+46=77, Resulting Numbers: [77]\n77,82 unequal: No Solution\nMoving to Node #0,4,2,0\nCurrent State: 82:[77], Operations: ['86-55=31', '23*2=46', '31+46=77']\nMoving to Node #0,4,2,0\nCurrent State: 82:[15], Operations: ['86-55=31', '23*2=46', '46-31=15']\nMoving to Node #0,3,4,0\nCurrent State: 82:[56], Operations: ['55-23=32', '86-32=54', '2+54=56']\nMoving to Node #0,2,3\nCurrent State: 82:[55, 40], Operations: ['23*2=46', '86-46=40']\nExploring Operation: 55*40=2200, Resulting Numbers: [2200]\n2200,82 unequal: No Solution\nExploring Operation: 55+40=95, Resulting Numbers: [95]\n95,82 unequal: No Solution\nExploring Operation: 55-40=15, Resulting Numbers: [15]\n15,82 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 82:[46, 31], Operations: ['23*2=46', '86-55=31']\nExploring Operation: 46+31=77, Resulting Numbers: [77]\n77,82 unequal: No Solution\nExploring Operation: 46*31=1426, Resulting Numbers: [1426]\n1426,82 unequal: No Solution\nExploring Operation: 46-31=15, Resulting Numbers: [15]\n15,82 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 82:[77], Operations: ['23*2=46', '86-55=31', '46+31=77']\nMoving to Node #0,2,3,0\nCurrent State: 82:[95], Operations: ['23*2=46', '86-46=40', '55+40=95']\nMoving to Node #0,2,3,0\nCurrent State: 82:[15], Operations: ['23*2=46', '86-46=40', '55-40=15']\nMoving to Node #0,2,0,0\nCurrent State: 82:[15], Operations: ['23*2=46', '86-55=31', '46-31=15']\nMoving to Node #0,3,0\nCurrent State: 82:[32, 88], Operations: ['55-23=32', '86+2=88']\nExploring Operation: 88-32=56, Resulting Numbers: [56]\n56,82 unequal: No Solution\nExploring Operation: 32*88=2816, Resulting Numbers: [2816]\n2816,82 unequal: No Solution\nExploring Operation: 32+88=120, Resulting Numbers: [120]\n120,82 unequal: No Solution\nMoving to Node #0,4,0,0\nCurrent State: 82:[56], Operations: ['86-55=31', '23+31=54', '2+54=56']\nMoving to Node #0,3,0,0\nCurrent State: 82:[56], Operations: ['55-23=32', '86+2=88', '88-32=56']\nMoving to Node #0,2,1\nCurrent State: 82:[86, 101], Operations: ['23*2=46', '55+46=101']\nExploring Operation: 101-86=15, Resulting Numbers: [15]\n15,82 unequal: No Solution\nExploring Operation: 86+101=187, Resulting Numbers: [187]\n187,82 unequal: No Solution\nExploring Operation: 86*101=8686, Resulting Numbers: [8686]\n8686,82 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 82:[23, 33], Operations: ['86-55=31', '2+31=33']\nExploring Operation: 23+33=56, Resulting Numbers: [56]\n56,82 unequal: No Solution\nExploring Operation: 23*33=759, Resulting Numbers: [759]\n759,82 unequal: No Solution\nExploring Operation: 33-23=10, Resulting Numbers: [10]\n10,82 unequal: No Solution\nMoving to Node #0,3,4,0\nCurrent State: 82:[108], Operations: ['55-23=32', '86-32=54', '2*54=108']\nMoving to Node #0,4,4,0\nCurrent State: 82:[10], Operations: ['86-55=31', '2+31=33', '33-23=10']\nMoving to Node #0,2,1,0\nCurrent State: 82:[15], Operations: ['23*2=46', '55+46=101', '101-86=15']\nMoving to Node #0,4,4,0\nCurrent State: 82:[56], Operations: ['86-55=31', '2+31=33', '23+33=56']\nMoving to Node #0,4,0,0\nCurrent State: 82:[108], Operations: ['86-55=31', '23+31=54', '2*54=108']\nMoving to Node #0,4,1\nCurrent State: 82:[31, 25], Operations: ['86-55=31', '23+2=25']\nExploring Operation: 31-25=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nExploring Operation: 31+25=56, Resulting Numbers: [56]\n56,82 unequal: No Solution\nExploring Operation: 31*25=775, Resulting Numbers: [775]\n775,82 unequal: No Solution\nMoving to Node #0,4,1,0\nCurrent State: 82:[6], Operations: ['86-55=31', '23+2=25', '31-25=6']\nMoving to Node #0,4,1,0\nCurrent State: 82:[56], Operations: ['86-55=31', '23+2=25', '31+25=56']\nMoving to Node #0,0,0\nCurrent State: 82:[63, 53], Operations: ['86-23=63', '55-2=53']\nExploring Operation: 63+53=116, Resulting Numbers: [116]\n116,82 unequal: No Solution\nExploring Operation: 63-53=10, Resulting Numbers: [10]\n10,82 unequal: No Solution\nExploring Operation: 63*53=3339, Resulting Numbers: [3339]\n3339,82 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 82:[55, 65], Operations: ['86-23=63', '2+63=65']\nExploring Operation: 65-55=10, Resulting Numbers: [10]\n10,82 unequal: No Solution\nExploring Operation: 55*65=3575, Resulting Numbers: [3575]\n3575,82 unequal: No Solution\nExploring Operation: 55+65=120, Resulting Numbers: [120]\n120,82 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 82:[116], Operations: ['55-23=32', '86-2=84', '32+84=116']\nMoving to Node #0,0,0,0\nCurrent State: 82:[10], Operations: ['86-23=63', '55-2=53', '63-53=10']\nMoving to Node #0,0,3,0\nCurrent State: 82:[10], Operations: ['86-23=63', '2+63=65', '65-55=10']\nMoving to Node #0,0,2\nCurrent State: 82:[55, 61], Operations: ['86-23=63', '63-2=61']\nExploring Operation: 55+61=116, Resulting Numbers: [116]\n116,82 unequal: No Solution\nExploring Operation: 55*61=3355, Resulting Numbers: [3355]\n3355,82 unequal: No Solution\nExploring Operation: 61-55=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 82:[116], Operations: ['86-23=63', '55-2=53', '63+53=116']\nMoving to Node #0,0,4\nCurrent State: 82:[63, 57], Operations: ['86-23=63', '55+2=57']\nExploring Operation: 63+57=120, Resulting Numbers: [120]\n120,82 unequal: No Solution\nExploring Operation: 63-57=6, Resulting Numbers: [6]\n6,82 unequal: No Solution\nExploring Operation: 63*57=3591, Resulting Numbers: [3591]\n3591,82 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 82:[6], Operations: ['86-23=63', '63-2=61', '61-55=6']\nMoving to Node #0,0,4,0\nCurrent State: 82:[6], Operations: ['86-23=63', '55+2=57', '63-57=6']\nMoving to Node #0,0,2,0\nCurrent State: 82:[116], Operations: ['86-23=63', '63-2=61', '55+61=116']\nMoving to Node #0,0,3,0\nCurrent State: 82:[120], Operations: ['86-23=63', '2+63=65', '55+65=120']\nMoving to Node #0,0,4,0\nCurrent State: 82:[120], Operations: ['86-23=63', '55+2=57', '63+57=120']\nMoving to Node #0,3,0,0\nCurrent State: 82:[120], Operations: ['55-23=32', '86+2=88', '32+88=120']\nMoving to Node #0,3,3,0\nCurrent State: 82:[120], Operations: ['55-23=32', '2+32=34', '86+34=120']\nMoving to Node #0,1,4,0\nCurrent State: 82:[121], Operations: ['23+55=78', '86/2=43', '78+43=121']\nMoving to Node #0,1,0,0\nCurrent State: 82:[125], Operations: ['23+55=78', '78/2=39', '86+39=125']\nMoving to Node #0,2,4\nCurrent State: 82:[46, 141], Operations: ['23*2=46', '55+86=141']\nExploring Operation: 46*141=6486, Resulting Numbers: [6486]\n6486,82 unequal: No Solution\nExploring Operation: 46+141=187, Resulting Numbers: [187]\n187,82 unequal: No Solution\nExploring Operation: 141-46=95, Resulting Numbers: [95]\n95,82 unequal: No Solution\nMoving to Node #0,2,4,0\nCurrent State: 82:[95], Operations: ['23*2=46', '55+86=141', '141-46=95']\nMoving to Node #0,1,3,0\nCurrent State: 82:[162], Operations: ['23+55=78', '86-2=84', '78+84=162']\nMoving to Node #0,1,1,0\nCurrent State: 82:[166], Operations: ['23+55=78', '2+78=80', '86+80=166']\nMoving to Node #0,2,1,0\nCurrent State: 82:[187], Operations: ['23*2=46', '55+46=101', '86+101=187']\nMoving to Node #0,2,4,0\nCurrent State: 82:[187], Operations: ['23*2=46', '55+86=141', '46+141=187']\nMoving to Node #0,4,4,0\nCurrent State: 82:[759], Operations: ['86-55=31', '2+31=33', '23*33=759']\nMoving to Node #0,2,2,0\nCurrent State: 82:[774], Operations: ['23*2=46', '55-46=9', '86*9=774']\nMoving to Node #0,4,1,0\nCurrent State: 82:[775], Operations: ['86-55=31', '23+2=25', '31*25=775']\nMoving to Node #0,3,2,0\nCurrent State: 82:[1376], Operations: ['55-23=32', '86/2=43', '32*43=1376']\nMoving to Node #0,2,0,0\nCurrent State: 82:[1426], Operations: ['23*2=46', '86-55=31', '46*31=1426']\nMoving to Node #0,4,2,0\nCurrent State: 82:[1426], Operations: ['86-55=31', '23*2=46', '31*46=1426']\nMoving to Node #0,2,3,0\nCurrent State: 82:[2200], Operations: ['23*2=46', '86-46=40', '55*40=2200']\nMoving to Node #0,3,1,0\nCurrent State: 82:[2688], Operations: ['55-23=32', '86-2=84', '32*84=2688']\nMoving to Node #0,3,0,0\nCurrent State: 82:[2816], Operations: ['55-23=32', '86+2=88', '32*88=2816']\nMoving to Node #0,3,3,0\nCurrent State: 82:[2924], Operations: ['55-23=32', '2+32=34', '86*34=2924']\nMoving to Node #0,0,0,0\nCurrent State: 82:[3339], Operations: ['86-23=63', '55-2=53', '63*53=3339']\nMoving to Node #0,1,4,0\nCurrent State: 82:[3354], Operations: ['23+55=78', '86/2=43', '78*43=3354']\nMoving to Node #0,1,0,0\nCurrent State: 82:[3354], Operations: ['23+55=78', '78/2=39', '86*39=3354']\nMoving to Node #0,0,2,0\nCurrent State: 82:[3355], Operations: ['86-23=63', '63-2=61', '55*61=3355']\nMoving to Node #0,0,3,0\nCurrent State: 82:[3575], Operations: ['86-23=63', '2+63=65', '55*65=3575']\nMoving to Node #0,0,4,0\nCurrent State: 82:[3591], Operations: ['86-23=63', '55+2=57', '63*57=3591']\nMoving to Node #0,2,4,0\nCurrent State: 82:[6486], Operations: ['23*2=46', '55+86=141', '46*141=6486']\nMoving to Node #0,1,3,0\nCurrent State: 82:[6552], Operations: ['23+55=78', '86-2=84', '78*84=6552']\nMoving to Node #0,1,1,0\nCurrent State: 82:[6880], Operations: ['23+55=78', '2+78=80', '86*80=6880']\nMoving to Node #0,2,1,0\nCurrent State: 82:[8686], Operations: ['23*2=46', '55+46=101', '86*101=8686']\nNo solution found.", "role": "assistant" } ]
[ 80, 85, 43, 39 ]
65
[ "43-39=4", "80/4=20", "85-20=65" ]
Current State: 65:[80, 85, 43, 39], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [80, 85, 4] Generated Node #0,0: 65:[80, 85, 4] Operation: 43-39=4 Exploring Operation: 85-39=46, Resulting Numbers: [80, 43, 46] Generated Node #0,1: 65:[80, 43, 46] Operation: 85-39=46 Exploring Operation: 43+39=82, Resulting Numbers: [80, 85, 82] Generated Node #0,2: 65:[80, 85, 82] Operation: 43+39=82 Exploring Operation: 85-80=5, Resulting Numbers: [43, 39, 5] Generated Node #0,3: 65:[43, 39, 5] Operation: 85-80=5 Moving to Node #0,0 Current State: 65:[80, 85, 4], Operations: ['43-39=4'] Exploring Operation: 85-4=81, Resulting Numbers: [80, 81] Generated Node #0,0,0: 65:[80, 81] Operation: 85-4=81 Exploring Operation: 80-4=76, Resulting Numbers: [85, 76] Generated Node #0,0,1: 65:[85, 76] Operation: 80-4=76 Exploring Operation: 85-80=5, Resulting Numbers: [4, 5] Generated Node #0,0,2: 65:[4, 5] Operation: 85-80=5 Exploring Operation: 80/4=20, Resulting Numbers: [85, 20] Generated Node #0,0,3: 65:[85, 20] Operation: 80/4=20 Moving to Node #0,3 Current State: 65:[43, 39, 5], Operations: ['85-80=5'] Exploring Operation: 43-39=4, Resulting Numbers: [5, 4] Generated Node #0,3,0: 65:[5, 4] Operation: 43-39=4 Exploring Operation: 43+39=82, Resulting Numbers: [5, 82] Generated Node #0,3,1: 65:[5, 82] Operation: 43+39=82 Exploring Operation: 39+5=44, Resulting Numbers: [43, 44] Generated Node #0,3,2: 65:[43, 44] Operation: 39+5=44 Exploring Operation: 43+5=48, Resulting Numbers: [39, 48] Generated Node #0,3,3: 65:[39, 48] Operation: 43+5=48 Moving to Node #0,2 Current State: 65:[80, 85, 82], Operations: ['43+39=82'] Exploring Operation: 85-80=5, Resulting Numbers: [82, 5] Generated Node #0,2,0: 65:[82, 5] Operation: 85-80=5 Exploring Operation: 82-80=2, Resulting Numbers: [85, 2] Generated Node #0,2,1: 65:[85, 2] Operation: 82-80=2 Exploring Operation: 80+85=165, Resulting Numbers: [82, 165] Generated Node #0,2,2: 65:[82, 165] Operation: 80+85=165 Exploring Operation: 85-82=3, Resulting Numbers: [80, 3] Generated Node #0,2,3: 65:[80, 3] Operation: 85-82=3 Moving to Node #0,1 Current State: 65:[80, 43, 46], Operations: ['85-39=46'] Exploring Operation: 80-43=37, Resulting Numbers: [46, 37] Generated Node #0,1,0: 65:[46, 37] Operation: 80-43=37 Exploring Operation: 80-46=34, Resulting Numbers: [43, 34] Generated Node #0,1,1: 65:[43, 34] Operation: 80-46=34 Exploring Operation: 43+46=89, Resulting Numbers: [80, 89] Generated Node #0,1,2: 65:[80, 89] Operation: 43+46=89 Exploring Operation: 46-43=3, Resulting Numbers: [80, 3] Generated Node #0,1,3: 65:[80, 3] Operation: 46-43=3 Moving to Node #0,0,2 Current State: 65:[4, 5], Operations: ['43-39=4', '85-80=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,65 unequal: No Solution Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,65 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,65 unequal: No Solution Moving to Node #0,3,0 Current State: 65:[5, 4], Operations: ['85-80=5', '43-39=4'] Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,65 unequal: No Solution Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,65 unequal: No Solution Exploring Operation: 5+4=9, Resulting Numbers: [9] 9,65 unequal: No Solution Moving to Node #0,3,1 Current State: 65:[5, 82], Operations: ['85-80=5', '43+39=82'] Exploring Operation: 5+82=87, Resulting Numbers: [87] 87,65 unequal: No Solution Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,65 unequal: No Solution Exploring Operation: 5*82=410, Resulting Numbers: [410] 410,65 unequal: No Solution Moving to Node #0,1,3 Current State: 65:[80, 3], Operations: ['85-39=46', '46-43=3'] Exploring Operation: 80*3=240, Resulting Numbers: [240] 240,65 unequal: No Solution Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,65 unequal: No Solution Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,65 unequal: No Solution Moving to Node #0,0,2,0 Current State: 65:[9], Operations: ['43-39=4', '85-80=5', '4+5=9'] Moving to Node #0,0,2,0 Current State: 65:[1], Operations: ['43-39=4', '85-80=5', '5-4=1'] Moving to Node #0,3,0,0 Current State: 65:[1], Operations: ['85-80=5', '43-39=4', '5-4=1'] Moving to Node #0,3,0,0 Current State: 65:[9], Operations: ['85-80=5', '43-39=4', '5+4=9'] Moving to Node #0,0,2,0 Current State: 65:[20], Operations: ['43-39=4', '85-80=5', '4*5=20'] Moving to Node #0,3,0,0 Current State: 65:[20], Operations: ['85-80=5', '43-39=4', '5*4=20'] Moving to Node #0,1,3,0 Current State: 65:[77], Operations: ['85-39=46', '46-43=3', '80-3=77'] Moving to Node #0,3,1,0 Current State: 65:[77], Operations: ['85-80=5', '43+39=82', '82-5=77'] Moving to Node #0,2,3 Current State: 65:[80, 3], Operations: ['43+39=82', '85-82=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,65 unequal: No Solution Exploring Operation: 80*3=240, Resulting Numbers: [240] 240,65 unequal: No Solution Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,65 unequal: No Solution Moving to Node #0,2,0 Current State: 65:[82, 5], Operations: ['43+39=82', '85-80=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,65 unequal: No Solution Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,65 unequal: No Solution Exploring Operation: 82*5=410, Resulting Numbers: [410] 410,65 unequal: No Solution Moving to Node #0,1,3,0 Current State: 65:[83], Operations: ['85-39=46', '46-43=3', '80+3=83'] Moving to Node #0,3,1,0 Current State: 65:[87], Operations: ['85-80=5', '43+39=82', '5+82=87'] Moving to Node #0,2,3,0 Current State: 65:[77], Operations: ['43+39=82', '85-82=3', '80-3=77'] Moving to Node #0,2,0,0 Current State: 65:[77], Operations: ['43+39=82', '85-80=5', '82-5=77'] Moving to Node #0,2,3,0 Current State: 65:[83], Operations: ['43+39=82', '85-82=3', '80+3=83'] Moving to Node #0,2,0,0 Current State: 65:[87], Operations: ['43+39=82', '85-80=5', '82+5=87'] Moving to Node #0,2,1 Current State: 65:[85, 2], Operations: ['43+39=82', '82-80=2'] Exploring Operation: 85*2=170, Resulting Numbers: [170] 170,65 unequal: No Solution Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,65 unequal: No Solution Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,65 unequal: No Solution Moving to Node #0,0,3 Current State: 65:[85, 20], Operations: ['43-39=4', '80/4=20'] Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
0.962674
bfs_4
Current State: 65:[80, 85, 43, 39], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [80, 85, 4] Generated Node #2: [80, 85, 4] from Operation: 43-39=4 Current State: 65:[80, 85, 4], Operations: ['43-39=4'] Exploring Operation: 80/4=20, Resulting Numbers: [85, 20] Generated Node #3: [85, 20] from Operation: 80/4=20 Current State: 65:[85, 20], Operations: ['43-39=4', '80/4=20'] Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
mult_heuristic
[ { "content": "Make 65 with the numbers [80, 85, 43, 39] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 65:[80, 85, 43, 39], Operations: []\nExploring Operation: 43-39=4, Resulting Numbers: [80, 85, 4]\nGenerated Node #0,0: 65:[80, 85, 4] Operation: 43-39=4\nExploring Operation: 85-39=46, Resulting Numbers: [80, 43, 46]\nGenerated Node #0,1: 65:[80, 43, 46] Operation: 85-39=46\nExploring Operation: 43+39=82, Resulting Numbers: [80, 85, 82]\nGenerated Node #0,2: 65:[80, 85, 82] Operation: 43+39=82\nExploring Operation: 85-80=5, Resulting Numbers: [43, 39, 5]\nGenerated Node #0,3: 65:[43, 39, 5] Operation: 85-80=5\nMoving to Node #0,0\nCurrent State: 65:[80, 85, 4], Operations: ['43-39=4']\nExploring Operation: 85-4=81, Resulting Numbers: [80, 81]\nGenerated Node #0,0,0: 65:[80, 81] Operation: 85-4=81\nExploring Operation: 80-4=76, Resulting Numbers: [85, 76]\nGenerated Node #0,0,1: 65:[85, 76] Operation: 80-4=76\nExploring Operation: 85-80=5, Resulting Numbers: [4, 5]\nGenerated Node #0,0,2: 65:[4, 5] Operation: 85-80=5\nExploring Operation: 80/4=20, Resulting Numbers: [85, 20]\nGenerated Node #0,0,3: 65:[85, 20] Operation: 80/4=20\nMoving to Node #0,3\nCurrent State: 65:[43, 39, 5], Operations: ['85-80=5']\nExploring Operation: 43-39=4, Resulting Numbers: [5, 4]\nGenerated Node #0,3,0: 65:[5, 4] Operation: 43-39=4\nExploring Operation: 43+39=82, Resulting Numbers: [5, 82]\nGenerated Node #0,3,1: 65:[5, 82] Operation: 43+39=82\nExploring Operation: 39+5=44, Resulting Numbers: [43, 44]\nGenerated Node #0,3,2: 65:[43, 44] Operation: 39+5=44\nExploring Operation: 43+5=48, Resulting Numbers: [39, 48]\nGenerated Node #0,3,3: 65:[39, 48] Operation: 43+5=48\nMoving to Node #0,2\nCurrent State: 65:[80, 85, 82], Operations: ['43+39=82']\nExploring Operation: 85-80=5, Resulting Numbers: [82, 5]\nGenerated Node #0,2,0: 65:[82, 5] Operation: 85-80=5\nExploring Operation: 82-80=2, Resulting Numbers: [85, 2]\nGenerated Node #0,2,1: 65:[85, 2] Operation: 82-80=2\nExploring Operation: 80+85=165, Resulting Numbers: [82, 165]\nGenerated Node #0,2,2: 65:[82, 165] Operation: 80+85=165\nExploring Operation: 85-82=3, Resulting Numbers: [80, 3]\nGenerated Node #0,2,3: 65:[80, 3] Operation: 85-82=3\nMoving to Node #0,1\nCurrent State: 65:[80, 43, 46], Operations: ['85-39=46']\nExploring Operation: 80-43=37, Resulting Numbers: [46, 37]\nGenerated Node #0,1,0: 65:[46, 37] Operation: 80-43=37\nExploring Operation: 80-46=34, Resulting Numbers: [43, 34]\nGenerated Node #0,1,1: 65:[43, 34] Operation: 80-46=34\nExploring Operation: 43+46=89, Resulting Numbers: [80, 89]\nGenerated Node #0,1,2: 65:[80, 89] Operation: 43+46=89\nExploring Operation: 46-43=3, Resulting Numbers: [80, 3]\nGenerated Node #0,1,3: 65:[80, 3] Operation: 46-43=3\nMoving to Node #0,0,2\nCurrent State: 65:[4, 5], Operations: ['43-39=4', '85-80=5']\nExploring Operation: 4*5=20, Resulting Numbers: [20]\n20,65 unequal: No Solution\nExploring Operation: 4+5=9, Resulting Numbers: [9]\n9,65 unequal: No Solution\nExploring Operation: 5-4=1, Resulting Numbers: [1]\n1,65 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 65:[5, 4], Operations: ['85-80=5', '43-39=4']\nExploring Operation: 5-4=1, Resulting Numbers: [1]\n1,65 unequal: No Solution\nExploring Operation: 5*4=20, Resulting Numbers: [20]\n20,65 unequal: No Solution\nExploring Operation: 5+4=9, Resulting Numbers: [9]\n9,65 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 65:[5, 82], Operations: ['85-80=5', '43+39=82']\nExploring Operation: 5+82=87, Resulting Numbers: [87]\n87,65 unequal: No Solution\nExploring Operation: 82-5=77, Resulting Numbers: [77]\n77,65 unequal: No Solution\nExploring Operation: 5*82=410, Resulting Numbers: [410]\n410,65 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 65:[80, 3], Operations: ['85-39=46', '46-43=3']\nExploring Operation: 80*3=240, Resulting Numbers: [240]\n240,65 unequal: No Solution\nExploring Operation: 80-3=77, Resulting Numbers: [77]\n77,65 unequal: No Solution\nExploring Operation: 80+3=83, Resulting Numbers: [83]\n83,65 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 65:[9], Operations: ['43-39=4', '85-80=5', '4+5=9']\nMoving to Node #0,0,2,0\nCurrent State: 65:[1], Operations: ['43-39=4', '85-80=5', '5-4=1']\nMoving to Node #0,3,0,0\nCurrent State: 65:[1], Operations: ['85-80=5', '43-39=4', '5-4=1']\nMoving to Node #0,3,0,0\nCurrent State: 65:[9], Operations: ['85-80=5', '43-39=4', '5+4=9']\nMoving to Node #0,0,2,0\nCurrent State: 65:[20], Operations: ['43-39=4', '85-80=5', '4*5=20']\nMoving to Node #0,3,0,0\nCurrent State: 65:[20], Operations: ['85-80=5', '43-39=4', '5*4=20']\nMoving to Node #0,1,3,0\nCurrent State: 65:[77], Operations: ['85-39=46', '46-43=3', '80-3=77']\nMoving to Node #0,3,1,0\nCurrent State: 65:[77], Operations: ['85-80=5', '43+39=82', '82-5=77']\nMoving to Node #0,2,3\nCurrent State: 65:[80, 3], Operations: ['43+39=82', '85-82=3']\nExploring Operation: 80-3=77, Resulting Numbers: [77]\n77,65 unequal: No Solution\nExploring Operation: 80*3=240, Resulting Numbers: [240]\n240,65 unequal: No Solution\nExploring Operation: 80+3=83, Resulting Numbers: [83]\n83,65 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 65:[82, 5], Operations: ['43+39=82', '85-80=5']\nExploring Operation: 82-5=77, Resulting Numbers: [77]\n77,65 unequal: No Solution\nExploring Operation: 82+5=87, Resulting Numbers: [87]\n87,65 unequal: No Solution\nExploring Operation: 82*5=410, Resulting Numbers: [410]\n410,65 unequal: No Solution\nMoving to Node #0,1,3,0\nCurrent State: 65:[83], Operations: ['85-39=46', '46-43=3', '80+3=83']\nMoving to Node #0,3,1,0\nCurrent State: 65:[87], Operations: ['85-80=5', '43+39=82', '5+82=87']\nMoving to Node #0,2,3,0\nCurrent State: 65:[77], Operations: ['43+39=82', '85-82=3', '80-3=77']\nMoving to Node #0,2,0,0\nCurrent State: 65:[77], Operations: ['43+39=82', '85-80=5', '82-5=77']\nMoving to Node #0,2,3,0\nCurrent State: 65:[83], Operations: ['43+39=82', '85-82=3', '80+3=83']\nMoving to Node #0,2,0,0\nCurrent State: 65:[87], Operations: ['43+39=82', '85-80=5', '82+5=87']\nMoving to Node #0,2,1\nCurrent State: 65:[85, 2], Operations: ['43+39=82', '82-80=2']\nExploring Operation: 85*2=170, Resulting Numbers: [170]\n170,65 unequal: No Solution\nExploring Operation: 85-2=83, Resulting Numbers: [83]\n83,65 unequal: No Solution\nExploring Operation: 85+2=87, Resulting Numbers: [87]\n87,65 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 65:[85, 20], Operations: ['43-39=4', '80/4=20']\nExploring Operation: 85-20=65, Resulting Numbers: [65]\n65,65 equal: Goal Reached\n", "role": "assistant" } ]
[ 64, 21, 24, 60 ]
34
[ "64+21=85", "24*85=2040", "2040/60=34" ]
Current State: 34:[64, 21, 24, 60], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [21, 24, 4] Generated Node #0,0: 34:[21, 24, 4] Operation: 64-60=4 Moving to Node #0,0 Current State: 34:[21, 24, 4], Operations: ['64-60=4'] Exploring Operation: 24-21=3, Resulting Numbers: [4, 3] Generated Node #0,0,0: 34:[4, 3] Operation: 24-21=3 Moving to Node #0,0,0 Current State: 34:[4, 3], Operations: ['64-60=4', '24-21=3'] Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,34 unequal: No Solution Moving to Node #0,0,0 Current State: 34:[4, 3], Operations: ['64-60=4', '24-21=3'] Exploring Operation: 4+3=7, Resulting Numbers: [7] 7,34 unequal: No Solution Moving to Node #0,0,0 Current State: 34:[4, 3], Operations: ['64-60=4', '24-21=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,34 unequal: No Solution Moving to Node #0,0 Current State: 34:[21, 24, 4], Operations: ['64-60=4'] Exploring Operation: 21-4=17, Resulting Numbers: [24, 17] Generated Node #0,0,1: 34:[24, 17] Operation: 21-4=17 Moving to Node #0,0,1 Current State: 34:[24, 17], Operations: ['64-60=4', '21-4=17'] Exploring Operation: 24-17=7, Resulting Numbers: [7] 7,34 unequal: No Solution Moving to Node #0,0,1 Current State: 34:[24, 17], Operations: ['64-60=4', '21-4=17'] Exploring Operation: 24+17=41, Resulting Numbers: [41] 41,34 unequal: No Solution Moving to Node #0,0 Current State: 34:[21, 24, 4], Operations: ['64-60=4'] Exploring Operation: 24-4=20, Resulting Numbers: [21, 20] Generated Node #0,0,2: 34:[21, 20] Operation: 24-4=20 Moving to Node #0,0,2 Current State: 34:[21, 20], Operations: ['64-60=4', '24-4=20'] Exploring Operation: 21-20=1, Resulting Numbers: [1] 1,34 unequal: No Solution Moving to Node #0,0,2 Current State: 34:[21, 20], Operations: ['64-60=4', '24-4=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,34 unequal: No Solution Moving to Node #0,0 Current State: 34:[21, 24, 4], Operations: ['64-60=4'] Exploring Operation: 24/4=6, Resulting Numbers: [21, 6] Generated Node #0,0,3: 34:[21, 6] Operation: 24/4=6 Moving to Node #0,0,3 Current State: 34:[21, 6], Operations: ['64-60=4', '24/4=6'] Exploring Operation: 21-6=15, Resulting Numbers: [15] 15,34 unequal: No Solution Moving to Node #0,0,3 Current State: 34:[21, 6], Operations: ['64-60=4', '24/4=6'] Exploring Operation: 21+6=27, Resulting Numbers: [27] 27,34 unequal: No Solution Moving to Node #0,0 Current State: 34:[21, 24, 4], Operations: ['64-60=4'] Exploring Operation: 24+4=28, Resulting Numbers: [21, 28] Generated Node #0,0,4: 34:[21, 28] Operation: 24+4=28 Moving to Node #0,0,4 Current State: 34:[21, 28], Operations: ['64-60=4', '24+4=28'] Exploring Operation: 28-21=7, Resulting Numbers: [7] 7,34 unequal: No Solution Moving to Node #0,0,4 Current State: 34:[21, 28], Operations: ['64-60=4', '24+4=28'] Exploring Operation: 21+28=49, Resulting Numbers: [49] 49,34 unequal: No Solution Moving to Node #0,0 Current State: 34:[21, 24, 4], Operations: ['64-60=4'] Exploring Operation: 21+24=45, Resulting Numbers: [4, 45] Generated Node #0,0,5: 34:[4, 45] Operation: 21+24=45 Moving to Node #0,0,5 Current State: 34:[4, 45], Operations: ['64-60=4', '21+24=45'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,34 unequal: No Solution Moving to Node #0,0,5 Current State: 34:[4, 45], Operations: ['64-60=4', '21+24=45'] Exploring Operation: 4+45=49, Resulting Numbers: [49] 49,34 unequal: No Solution Moving to Node #0,0 Current State: 34:[21, 24, 4], Operations: ['64-60=4'] Exploring Operation: 21+4=25, Resulting Numbers: [24, 25] Generated Node #0,0,6: 34:[24, 25] Operation: 21+4=25 Moving to Node #0,0,6 Current State: 34:[24, 25], Operations: ['64-60=4', '21+4=25'] Exploring Operation: 25-24=1, Resulting Numbers: [1] 1,34 unequal: No Solution Moving to Node #0,0,6 Current State: 34:[24, 25], Operations: ['64-60=4', '21+4=25'] Exploring Operation: 24+25=49, Resulting Numbers: [49] 49,34 unequal: No Solution
0
dfs
Current State: 34:[64, 21, 24, 60], Operations: [] Exploring Operation: 64+21=85, Resulting Numbers: [24, 60, 85] Generated Node #2: [24, 60, 85] from Operation: 64+21=85 Current State: 34:[24, 60, 85], Operations: ['64+21=85'] Exploring Operation: 24*85=2040, Resulting Numbers: [60, 2040] Generated Node #3: [60, 2040] from Operation: 24*85=2040 Current State: 34:[60, 2040], Operations: ['64+21=85', '24*85=2040'] Exploring Operation: 2040/60=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
mult_heuristic
[ { "content": "Make 34 with the numbers [64, 21, 24, 60] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 34:[64, 21, 24, 60], Operations: []\nExploring Operation: 64-60=4, Resulting Numbers: [21, 24, 4]\nGenerated Node #0,0: 34:[21, 24, 4] Operation: 64-60=4\nMoving to Node #0,0\nCurrent State: 34:[21, 24, 4], Operations: ['64-60=4']\nExploring Operation: 24-21=3, Resulting Numbers: [4, 3]\nGenerated Node #0,0,0: 34:[4, 3] Operation: 24-21=3\nMoving to Node #0,0,0\nCurrent State: 34:[4, 3], Operations: ['64-60=4', '24-21=3']\nExploring Operation: 4-3=1, Resulting Numbers: [1]\n1,34 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 34:[4, 3], Operations: ['64-60=4', '24-21=3']\nExploring Operation: 4+3=7, Resulting Numbers: [7]\n7,34 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 34:[4, 3], Operations: ['64-60=4', '24-21=3']\nExploring Operation: 4*3=12, Resulting Numbers: [12]\n12,34 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 34:[21, 24, 4], Operations: ['64-60=4']\nExploring Operation: 21-4=17, Resulting Numbers: [24, 17]\nGenerated Node #0,0,1: 34:[24, 17] Operation: 21-4=17\nMoving to Node #0,0,1\nCurrent State: 34:[24, 17], Operations: ['64-60=4', '21-4=17']\nExploring Operation: 24-17=7, Resulting Numbers: [7]\n7,34 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 34:[24, 17], Operations: ['64-60=4', '21-4=17']\nExploring Operation: 24+17=41, Resulting Numbers: [41]\n41,34 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 34:[21, 24, 4], Operations: ['64-60=4']\nExploring Operation: 24-4=20, Resulting Numbers: [21, 20]\nGenerated Node #0,0,2: 34:[21, 20] Operation: 24-4=20\nMoving to Node #0,0,2\nCurrent State: 34:[21, 20], Operations: ['64-60=4', '24-4=20']\nExploring Operation: 21-20=1, Resulting Numbers: [1]\n1,34 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 34:[21, 20], Operations: ['64-60=4', '24-4=20']\nExploring Operation: 21+20=41, Resulting Numbers: [41]\n41,34 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 34:[21, 24, 4], Operations: ['64-60=4']\nExploring Operation: 24/4=6, Resulting Numbers: [21, 6]\nGenerated Node #0,0,3: 34:[21, 6] Operation: 24/4=6\nMoving to Node #0,0,3\nCurrent State: 34:[21, 6], Operations: ['64-60=4', '24/4=6']\nExploring Operation: 21-6=15, Resulting Numbers: [15]\n15,34 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 34:[21, 6], Operations: ['64-60=4', '24/4=6']\nExploring Operation: 21+6=27, Resulting Numbers: [27]\n27,34 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 34:[21, 24, 4], Operations: ['64-60=4']\nExploring Operation: 24+4=28, Resulting Numbers: [21, 28]\nGenerated Node #0,0,4: 34:[21, 28] Operation: 24+4=28\nMoving to Node #0,0,4\nCurrent State: 34:[21, 28], Operations: ['64-60=4', '24+4=28']\nExploring Operation: 28-21=7, Resulting Numbers: [7]\n7,34 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 34:[21, 28], Operations: ['64-60=4', '24+4=28']\nExploring Operation: 21+28=49, Resulting Numbers: [49]\n49,34 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 34:[21, 24, 4], Operations: ['64-60=4']\nExploring Operation: 21+24=45, Resulting Numbers: [4, 45]\nGenerated Node #0,0,5: 34:[4, 45] Operation: 21+24=45\nMoving to Node #0,0,5\nCurrent State: 34:[4, 45], Operations: ['64-60=4', '21+24=45']\nExploring Operation: 45-4=41, Resulting Numbers: [41]\n41,34 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 34:[4, 45], Operations: ['64-60=4', '21+24=45']\nExploring Operation: 4+45=49, Resulting Numbers: [49]\n49,34 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 34:[21, 24, 4], Operations: ['64-60=4']\nExploring Operation: 21+4=25, Resulting Numbers: [24, 25]\nGenerated Node #0,0,6: 34:[24, 25] Operation: 21+4=25\nMoving to Node #0,0,6\nCurrent State: 34:[24, 25], Operations: ['64-60=4', '21+4=25']\nExploring Operation: 25-24=1, Resulting Numbers: [1]\n1,34 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 34:[24, 25], Operations: ['64-60=4', '21+4=25']\nExploring Operation: 24+25=49, Resulting Numbers: [49]\n49,34 unequal: No Solution\n", "role": "assistant" } ]
[ 11, 5, 58, 62 ]
20
[ "11+5=16", "62-58=4", "16+4=20" ]
Current State: 20:[11, 5, 58, 62], Operations: [] Exploring Operation: 62-11=51, Resulting Numbers: [5, 58, 51] Generated Node #0,0: 20:[5, 58, 51] Operation: 62-11=51 Exploring Operation: 11+5=16, Resulting Numbers: [58, 62, 16] Generated Node #0,1: 20:[58, 62, 16] Operation: 11+5=16 Exploring Operation: 58-11=47, Resulting Numbers: [5, 62, 47] Generated Node #0,2: 20:[5, 62, 47] Operation: 58-11=47 Exploring Operation: 58-5=53, Resulting Numbers: [11, 62, 53] Generated Node #0,3: 20:[11, 62, 53] Operation: 58-5=53 Exploring Operation: 62-58=4, Resulting Numbers: [11, 5, 4] Generated Node #0,4: 20:[11, 5, 4] Operation: 62-58=4 Moving to Node #0,4 Current State: 20:[11, 5, 4], Operations: ['62-58=4'] Exploring Operation: 11-4=7, Resulting Numbers: [5, 7] Generated Node #0,4,0: 20:[5, 7] Operation: 11-4=7 Exploring Operation: 11+5=16, Resulting Numbers: [4, 16] Generated Node #0,4,1: 20:[4, 16] Operation: 11+5=16 Exploring Operation: 5+4=9, Resulting Numbers: [11, 9] Generated Node #0,4,2: 20:[11, 9] Operation: 5+4=9 Exploring Operation: 5*4=20, Resulting Numbers: [11, 20] Generated Node #0,4,3: 20:[11, 20] Operation: 5*4=20 Exploring Operation: 11+4=15, Resulting Numbers: [5, 15] Generated Node #0,4,4: 20:[5, 15] Operation: 11+4=15 Moving to Node #0,1 Current State: 20:[58, 62, 16], Operations: ['11+5=16'] Exploring Operation: 58+16=74, Resulting Numbers: [62, 74] Generated Node #0,1,0: 20:[62, 74] Operation: 58+16=74 Exploring Operation: 62-16=46, Resulting Numbers: [58, 46] Generated Node #0,1,1: 20:[58, 46] Operation: 62-16=46 Exploring Operation: 62-58=4, Resulting Numbers: [16, 4] Generated Node #0,1,2: 20:[16, 4] Operation: 62-58=4 Exploring Operation: 58-16=42, Resulting Numbers: [62, 42] Generated Node #0,1,3: 20:[62, 42] Operation: 58-16=42 Exploring Operation: 62+16=78, Resulting Numbers: [58, 78] Generated Node #0,1,4: 20:[58, 78] Operation: 62+16=78 Moving to Node #0,3 Current State: 20:[11, 62, 53], Operations: ['58-5=53'] Exploring Operation: 53-11=42, Resulting Numbers: [62, 42] Generated Node #0,3,0: 20:[62, 42] Operation: 53-11=42 Exploring Operation: 62-11=51, Resulting Numbers: [53, 51] Generated Node #0,3,1: 20:[53, 51] Operation: 62-11=51 Exploring Operation: 11+62=73, Resulting Numbers: [53, 73] Generated Node #0,3,2: 20:[53, 73] Operation: 11+62=73 Exploring Operation: 62-53=9, Resulting Numbers: [11, 9] Generated Node #0,3,3: 20:[11, 9] Operation: 62-53=9 Exploring Operation: 11+53=64, Resulting Numbers: [62, 64] Generated Node #0,3,4: 20:[62, 64] Operation: 11+53=64 Moving to Node #0,0 Current State: 20:[5, 58, 51], Operations: ['62-11=51'] Exploring Operation: 58-51=7, Resulting Numbers: [5, 7] Generated Node #0,0,0: 20:[5, 7] Operation: 58-51=7 Exploring Operation: 58-5=53, Resulting Numbers: [51, 53] Generated Node #0,0,1: 20:[51, 53] Operation: 58-5=53 Exploring Operation: 51-5=46, Resulting Numbers: [58, 46] Generated Node #0,0,2: 20:[58, 46] Operation: 51-5=46 Exploring Operation: 5+51=56, Resulting Numbers: [58, 56] Generated Node #0,0,3: 20:[58, 56] Operation: 5+51=56 Exploring Operation: 5+58=63, Resulting Numbers: [51, 63] Generated Node #0,0,4: 20:[51, 63] Operation: 5+58=63 Moving to Node #0,2 Current State: 20:[5, 62, 47], Operations: ['58-11=47'] Exploring Operation: 62-5=57, Resulting Numbers: [47, 57] Generated Node #0,2,0: 20:[47, 57] Operation: 62-5=57 Exploring Operation: 62-47=15, Resulting Numbers: [5, 15] Generated Node #0,2,1: 20:[5, 15] Operation: 62-47=15 Exploring Operation: 47-5=42, Resulting Numbers: [62, 42] Generated Node #0,2,2: 20:[62, 42] Operation: 47-5=42 Exploring Operation: 5+62=67, Resulting Numbers: [47, 67] Generated Node #0,2,3: 20:[47, 67] Operation: 5+62=67 Exploring Operation: 5+47=52, Resulting Numbers: [62, 52] Generated Node #0,2,4: 20:[62, 52] Operation: 5+47=52 Moving to Node #0,4,3 Current State: 20:[11, 20], Operations: ['62-58=4', '5*4=20'] Exploring Operation: 11*20=220, Resulting Numbers: [220] 220,20 unequal: No Solution Exploring Operation: 20-11=9, Resulting Numbers: [9] 9,20 unequal: No Solution Exploring Operation: 11+20=31, Resulting Numbers: [31] 31,20 unequal: No Solution Moving to Node #0,4,2 Current State: 20:[11, 9], Operations: ['62-58=4', '5+4=9'] Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,20 unequal: No Solution Exploring Operation: 11+9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
0.96875
bfs_5
Current State: 20:[11, 5, 58, 62], Operations: [] Exploring Operation: 11+5=16, Resulting Numbers: [58, 62, 16] Generated Node #2: [58, 62, 16] from Operation: 11+5=16 Current State: 20:[58, 62, 16], Operations: ['11+5=16'] Exploring Operation: 62-58=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 62-58=4 Current State: 20:[16, 4], Operations: ['11+5=16', '62-58=4'] Exploring Operation: 16+4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
sum_heuristic
[ { "content": "Make 20 with the numbers [11, 5, 58, 62] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 20:[11, 5, 58, 62], Operations: []\nExploring Operation: 62-11=51, Resulting Numbers: [5, 58, 51]\nGenerated Node #0,0: 20:[5, 58, 51] Operation: 62-11=51\nExploring Operation: 11+5=16, Resulting Numbers: [58, 62, 16]\nGenerated Node #0,1: 20:[58, 62, 16] Operation: 11+5=16\nExploring Operation: 58-11=47, Resulting Numbers: [5, 62, 47]\nGenerated Node #0,2: 20:[5, 62, 47] Operation: 58-11=47\nExploring Operation: 58-5=53, Resulting Numbers: [11, 62, 53]\nGenerated Node #0,3: 20:[11, 62, 53] Operation: 58-5=53\nExploring Operation: 62-58=4, Resulting Numbers: [11, 5, 4]\nGenerated Node #0,4: 20:[11, 5, 4] Operation: 62-58=4\nMoving to Node #0,4\nCurrent State: 20:[11, 5, 4], Operations: ['62-58=4']\nExploring Operation: 11-4=7, Resulting Numbers: [5, 7]\nGenerated Node #0,4,0: 20:[5, 7] Operation: 11-4=7\nExploring Operation: 11+5=16, Resulting Numbers: [4, 16]\nGenerated Node #0,4,1: 20:[4, 16] Operation: 11+5=16\nExploring Operation: 5+4=9, Resulting Numbers: [11, 9]\nGenerated Node #0,4,2: 20:[11, 9] Operation: 5+4=9\nExploring Operation: 5*4=20, Resulting Numbers: [11, 20]\nGenerated Node #0,4,3: 20:[11, 20] Operation: 5*4=20\nExploring Operation: 11+4=15, Resulting Numbers: [5, 15]\nGenerated Node #0,4,4: 20:[5, 15] Operation: 11+4=15\nMoving to Node #0,1\nCurrent State: 20:[58, 62, 16], Operations: ['11+5=16']\nExploring Operation: 58+16=74, Resulting Numbers: [62, 74]\nGenerated Node #0,1,0: 20:[62, 74] Operation: 58+16=74\nExploring Operation: 62-16=46, Resulting Numbers: [58, 46]\nGenerated Node #0,1,1: 20:[58, 46] Operation: 62-16=46\nExploring Operation: 62-58=4, Resulting Numbers: [16, 4]\nGenerated Node #0,1,2: 20:[16, 4] Operation: 62-58=4\nExploring Operation: 58-16=42, Resulting Numbers: [62, 42]\nGenerated Node #0,1,3: 20:[62, 42] Operation: 58-16=42\nExploring Operation: 62+16=78, Resulting Numbers: [58, 78]\nGenerated Node #0,1,4: 20:[58, 78] Operation: 62+16=78\nMoving to Node #0,3\nCurrent State: 20:[11, 62, 53], Operations: ['58-5=53']\nExploring Operation: 53-11=42, Resulting Numbers: [62, 42]\nGenerated Node #0,3,0: 20:[62, 42] Operation: 53-11=42\nExploring Operation: 62-11=51, Resulting Numbers: [53, 51]\nGenerated Node #0,3,1: 20:[53, 51] Operation: 62-11=51\nExploring Operation: 11+62=73, Resulting Numbers: [53, 73]\nGenerated Node #0,3,2: 20:[53, 73] Operation: 11+62=73\nExploring Operation: 62-53=9, Resulting Numbers: [11, 9]\nGenerated Node #0,3,3: 20:[11, 9] Operation: 62-53=9\nExploring Operation: 11+53=64, Resulting Numbers: [62, 64]\nGenerated Node #0,3,4: 20:[62, 64] Operation: 11+53=64\nMoving to Node #0,0\nCurrent State: 20:[5, 58, 51], Operations: ['62-11=51']\nExploring Operation: 58-51=7, Resulting Numbers: [5, 7]\nGenerated Node #0,0,0: 20:[5, 7] Operation: 58-51=7\nExploring Operation: 58-5=53, Resulting Numbers: [51, 53]\nGenerated Node #0,0,1: 20:[51, 53] Operation: 58-5=53\nExploring Operation: 51-5=46, Resulting Numbers: [58, 46]\nGenerated Node #0,0,2: 20:[58, 46] Operation: 51-5=46\nExploring Operation: 5+51=56, Resulting Numbers: [58, 56]\nGenerated Node #0,0,3: 20:[58, 56] Operation: 5+51=56\nExploring Operation: 5+58=63, Resulting Numbers: [51, 63]\nGenerated Node #0,0,4: 20:[51, 63] Operation: 5+58=63\nMoving to Node #0,2\nCurrent State: 20:[5, 62, 47], Operations: ['58-11=47']\nExploring Operation: 62-5=57, Resulting Numbers: [47, 57]\nGenerated Node #0,2,0: 20:[47, 57] Operation: 62-5=57\nExploring Operation: 62-47=15, Resulting Numbers: [5, 15]\nGenerated Node #0,2,1: 20:[5, 15] Operation: 62-47=15\nExploring Operation: 47-5=42, Resulting Numbers: [62, 42]\nGenerated Node #0,2,2: 20:[62, 42] Operation: 47-5=42\nExploring Operation: 5+62=67, Resulting Numbers: [47, 67]\nGenerated Node #0,2,3: 20:[47, 67] Operation: 5+62=67\nExploring Operation: 5+47=52, Resulting Numbers: [62, 52]\nGenerated Node #0,2,4: 20:[62, 52] Operation: 5+47=52\nMoving to Node #0,4,3\nCurrent State: 20:[11, 20], Operations: ['62-58=4', '5*4=20']\nExploring Operation: 11*20=220, Resulting Numbers: [220]\n220,20 unequal: No Solution\nExploring Operation: 20-11=9, Resulting Numbers: [9]\n9,20 unequal: No Solution\nExploring Operation: 11+20=31, Resulting Numbers: [31]\n31,20 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 20:[11, 9], Operations: ['62-58=4', '5+4=9']\nExploring Operation: 11*9=99, Resulting Numbers: [99]\n99,20 unequal: No Solution\nExploring Operation: 11+9=20, Resulting Numbers: [20]\n20,20 equal: Goal Reached\n", "role": "assistant" } ]
[ 16, 63, 71, 11 ]
68
[ "71-16=55", "55/11=5", "63+5=68" ]
Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [63, 71, 5] Generated Node #0,0: 68:[63, 71, 5] Operation: 16-11=5 Moving to Node #0,0 Current State: 68:[63, 71, 5], Operations: ['16-11=5'] Exploring Operation: 63+5=68, Resulting Numbers: [71, 68] Generated Node #0,0,0: 68:[71, 68] Operation: 63+5=68 Moving to Node #0,0,0 Current State: 68:[71, 68], Operations: ['16-11=5', '63+5=68'] Exploring Operation: 71-68=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,0 Current State: 68:[63, 71, 5], Operations: ['16-11=5'] Exploring Operation: 71-63=8, Resulting Numbers: [5, 8] Generated Node #0,0,1: 68:[5, 8] Operation: 71-63=8 Moving to Node #0,0,1 Current State: 68:[5, 8], Operations: ['16-11=5', '71-63=8'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,0,1 Current State: 68:[5, 8], Operations: ['16-11=5', '71-63=8'] Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,0,1 Current State: 68:[5, 8], Operations: ['16-11=5', '71-63=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,68 unequal: No Solution Moving to Node #0,0 Current State: 68:[63, 71, 5], Operations: ['16-11=5'] Exploring Operation: 71-5=66, Resulting Numbers: [63, 66] Generated Node #0,0,2: 68:[63, 66] Operation: 71-5=66 Moving to Node #0,0,2 Current State: 68:[63, 66], Operations: ['16-11=5', '71-5=66'] Exploring Operation: 66-63=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,0,2 Current State: 68:[63, 66], Operations: ['16-11=5', '71-5=66'] Exploring Operation: 63+66=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,0 Current State: 68:[63, 71, 5], Operations: ['16-11=5'] Exploring Operation: 63-5=58, Resulting Numbers: [71, 58] Generated Node #0,0,3: 68:[71, 58] Operation: 63-5=58 Moving to Node #0,0,3 Current State: 68:[71, 58], Operations: ['16-11=5', '63-5=58'] Exploring Operation: 71-58=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,0,3 Current State: 68:[71, 58], Operations: ['16-11=5', '63-5=58'] Exploring Operation: 71+58=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,0 Current State: 68:[63, 71, 5], Operations: ['16-11=5'] Exploring Operation: 71+5=76, Resulting Numbers: [63, 76] Generated Node #0,0,4: 68:[63, 76] Operation: 71+5=76 Moving to Node #0,0,4 Current State: 68:[63, 76], Operations: ['16-11=5', '71+5=76'] Exploring Operation: 76-63=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,0 Current State: 68:[63, 71, 5], Operations: ['16-11=5'] Exploring Operation: 63+71=134, Resulting Numbers: [5, 134] Generated Node #0,0,5: 68:[5, 134] Operation: 63+71=134 Moving to Node #0,0,5 Current State: 68:[5, 134], Operations: ['16-11=5', '63+71=134'] Exploring Operation: 134-5=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 63+11=74, Resulting Numbers: [16, 71, 74] Generated Node #0,1: 68:[16, 71, 74] Operation: 63+11=74 Moving to Node #0,1 Current State: 68:[16, 71, 74], Operations: ['63+11=74'] Exploring Operation: 74-71=3, Resulting Numbers: [16, 3] Generated Node #0,1,0: 68:[16, 3] Operation: 74-71=3 Moving to Node #0,1,0 Current State: 68:[16, 3], Operations: ['63+11=74', '74-71=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,1,0 Current State: 68:[16, 3], Operations: ['63+11=74', '74-71=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,1,0 Current State: 68:[16, 3], Operations: ['63+11=74', '74-71=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,68 unequal: No Solution Moving to Node #0,1 Current State: 68:[16, 71, 74], Operations: ['63+11=74'] Exploring Operation: 74-16=58, Resulting Numbers: [71, 58] Generated Node #0,1,1: 68:[71, 58] Operation: 74-16=58 Moving to Node #0,1,1 Current State: 68:[71, 58], Operations: ['63+11=74', '74-16=58'] Exploring Operation: 71-58=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,1,1 Current State: 68:[71, 58], Operations: ['63+11=74', '74-16=58'] Exploring Operation: 71+58=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,1 Current State: 68:[16, 71, 74], Operations: ['63+11=74'] Exploring Operation: 71-16=55, Resulting Numbers: [74, 55] Generated Node #0,1,2: 68:[74, 55] Operation: 71-16=55 Moving to Node #0,1,2 Current State: 68:[74, 55], Operations: ['63+11=74', '71-16=55'] Exploring Operation: 74-55=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,1,2 Current State: 68:[74, 55], Operations: ['63+11=74', '71-16=55'] Exploring Operation: 74+55=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,1 Current State: 68:[16, 71, 74], Operations: ['63+11=74'] Exploring Operation: 16+71=87, Resulting Numbers: [74, 87] Generated Node #0,1,3: 68:[74, 87] Operation: 16+71=87 Moving to Node #0,1,3 Current State: 68:[74, 87], Operations: ['63+11=74', '16+71=87'] Exploring Operation: 87-74=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,1 Current State: 68:[16, 71, 74], Operations: ['63+11=74'] Exploring Operation: 16+74=90, Resulting Numbers: [71, 90] Generated Node #0,1,4: 68:[71, 90] Operation: 16+74=90 Moving to Node #0,1,4 Current State: 68:[71, 90], Operations: ['63+11=74', '16+74=90'] Exploring Operation: 90-71=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [16, 11, 8] Generated Node #0,2: 68:[16, 11, 8] Operation: 71-63=8 Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 11-8=3, Resulting Numbers: [16, 3] Generated Node #0,2,0: 68:[16, 3] Operation: 11-8=3 Moving to Node #0,2,0 Current State: 68:[16, 3], Operations: ['71-63=8', '11-8=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,2,0 Current State: 68:[16, 3], Operations: ['71-63=8', '11-8=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,2,0 Current State: 68:[16, 3], Operations: ['71-63=8', '11-8=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 11+8=19, Resulting Numbers: [16, 19] Generated Node #0,2,1: 68:[16, 19] Operation: 11+8=19 Moving to Node #0,2,1 Current State: 68:[16, 19], Operations: ['71-63=8', '11+8=19'] Exploring Operation: 16+19=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,2,1 Current State: 68:[16, 19], Operations: ['71-63=8', '11+8=19'] Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 16-11=5, Resulting Numbers: [8, 5] Generated Node #0,2,2: 68:[8, 5] Operation: 16-11=5 Moving to Node #0,2,2 Current State: 68:[8, 5], Operations: ['71-63=8', '16-11=5'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,2,2 Current State: 68:[8, 5], Operations: ['71-63=8', '16-11=5'] Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,2,2 Current State: 68:[8, 5], Operations: ['71-63=8', '16-11=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 16/8=2, Resulting Numbers: [11, 2] Generated Node #0,2,3: 68:[11, 2] Operation: 16/8=2 Moving to Node #0,2,3 Current State: 68:[11, 2], Operations: ['71-63=8', '16/8=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,2,3 Current State: 68:[11, 2], Operations: ['71-63=8', '16/8=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,68 unequal: No Solution Moving to Node #0,2,3 Current State: 68:[11, 2], Operations: ['71-63=8', '16/8=2'] Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 16-8=8, Resulting Numbers: [11, 8] Generated Node #0,2,4: 68:[11, 8] Operation: 16-8=8 Moving to Node #0,2,4 Current State: 68:[11, 8], Operations: ['71-63=8', '16-8=8'] Exploring Operation: 11-8=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,2,4 Current State: 68:[11, 8], Operations: ['71-63=8', '16-8=8'] Exploring Operation: 11+8=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,2,4 Current State: 68:[11, 8], Operations: ['71-63=8', '16-8=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 16+11=27, Resulting Numbers: [8, 27] Generated Node #0,2,5: 68:[8, 27] Operation: 16+11=27 Moving to Node #0,2,5 Current State: 68:[8, 27], Operations: ['71-63=8', '16+11=27'] Exploring Operation: 8+27=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,2,5 Current State: 68:[8, 27], Operations: ['71-63=8', '16+11=27'] Exploring Operation: 27-8=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 16+8=24, Resulting Numbers: [11, 24] Generated Node #0,2,6: 68:[11, 24] Operation: 16+8=24 Moving to Node #0,2,6 Current State: 68:[11, 24], Operations: ['71-63=8', '16+8=24'] Exploring Operation: 11+24=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,2,6 Current State: 68:[11, 24], Operations: ['71-63=8', '16+8=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 11*8=88, Resulting Numbers: [16, 88] Generated Node #0,2,7: 68:[16, 88] Operation: 11*8=88 Moving to Node #0,2,7 Current State: 68:[16, 88], Operations: ['71-63=8', '11*8=88'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,68 unequal: No Solution Moving to Node #0,2,7 Current State: 68:[16, 88], Operations: ['71-63=8', '11*8=88'] Exploring Operation: 16+88=104, Resulting Numbers: [104] 104,68 unequal: No Solution Moving to Node #0,2 Current State: 68:[16, 11, 8], Operations: ['71-63=8'] Exploring Operation: 16*8=128, Resulting Numbers: [11, 128] Generated Node #0,2,8: 68:[11, 128] Operation: 16*8=128 Moving to Node #0,2,8 Current State: 68:[11, 128], Operations: ['71-63=8', '16*8=128'] Exploring Operation: 128-11=117, Resulting Numbers: [117] 117,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [16, 63, 60] Generated Node #0,3: 68:[16, 63, 60] Operation: 71-11=60 Moving to Node #0,3 Current State: 68:[16, 63, 60], Operations: ['71-11=60'] Exploring Operation: 63-60=3, Resulting Numbers: [16, 3] Generated Node #0,3,0: 68:[16, 3] Operation: 63-60=3 Moving to Node #0,3,0 Current State: 68:[16, 3], Operations: ['71-11=60', '63-60=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,3,0 Current State: 68:[16, 3], Operations: ['71-11=60', '63-60=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,3,0 Current State: 68:[16, 3], Operations: ['71-11=60', '63-60=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,68 unequal: No Solution Moving to Node #0,3 Current State: 68:[16, 63, 60], Operations: ['71-11=60'] Exploring Operation: 16+60=76, Resulting Numbers: [63, 76] Generated Node #0,3,1: 68:[63, 76] Operation: 16+60=76 Moving to Node #0,3,1 Current State: 68:[63, 76], Operations: ['71-11=60', '16+60=76'] Exploring Operation: 76-63=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,3 Current State: 68:[16, 63, 60], Operations: ['71-11=60'] Exploring Operation: 60-16=44, Resulting Numbers: [63, 44] Generated Node #0,3,2: 68:[63, 44] Operation: 60-16=44 Moving to Node #0,3,2 Current State: 68:[63, 44], Operations: ['71-11=60', '60-16=44'] Exploring Operation: 63-44=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,3,2 Current State: 68:[63, 44], Operations: ['71-11=60', '60-16=44'] Exploring Operation: 63+44=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,3 Current State: 68:[16, 63, 60], Operations: ['71-11=60'] Exploring Operation: 16+63=79, Resulting Numbers: [60, 79] Generated Node #0,3,3: 68:[60, 79] Operation: 16+63=79 Moving to Node #0,3,3 Current State: 68:[60, 79], Operations: ['71-11=60', '16+63=79'] Exploring Operation: 79-60=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,3 Current State: 68:[16, 63, 60], Operations: ['71-11=60'] Exploring Operation: 63-16=47, Resulting Numbers: [60, 47] Generated Node #0,3,4: 68:[60, 47] Operation: 63-16=47 Moving to Node #0,3,4 Current State: 68:[60, 47], Operations: ['71-11=60', '63-16=47'] Exploring Operation: 60-47=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,3,4 Current State: 68:[60, 47], Operations: ['71-11=60', '63-16=47'] Exploring Operation: 60+47=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,3 Current State: 68:[16, 63, 60], Operations: ['71-11=60'] Exploring Operation: 63+60=123, Resulting Numbers: [16, 123] Generated Node #0,3,5: 68:[16, 123] Operation: 63+60=123 Moving to Node #0,3,5 Current State: 68:[16, 123], Operations: ['71-11=60', '63+60=123'] Exploring Operation: 123-16=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 16+11=27, Resulting Numbers: [63, 71, 27] Generated Node #0,4: 68:[63, 71, 27] Operation: 16+11=27 Moving to Node #0,4 Current State: 68:[63, 71, 27], Operations: ['16+11=27'] Exploring Operation: 63-27=36, Resulting Numbers: [71, 36] Generated Node #0,4,0: 68:[71, 36] Operation: 63-27=36 Moving to Node #0,4,0 Current State: 68:[71, 36], Operations: ['16+11=27', '63-27=36'] Exploring Operation: 71-36=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,4,0 Current State: 68:[71, 36], Operations: ['16+11=27', '63-27=36'] Exploring Operation: 71+36=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,4 Current State: 68:[63, 71, 27], Operations: ['16+11=27'] Exploring Operation: 71-63=8, Resulting Numbers: [27, 8] Generated Node #0,4,1: 68:[27, 8] Operation: 71-63=8 Moving to Node #0,4,1 Current State: 68:[27, 8], Operations: ['16+11=27', '71-63=8'] Exploring Operation: 27+8=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,4,1 Current State: 68:[27, 8], Operations: ['16+11=27', '71-63=8'] Exploring Operation: 27-8=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,4 Current State: 68:[63, 71, 27], Operations: ['16+11=27'] Exploring Operation: 71-27=44, Resulting Numbers: [63, 44] Generated Node #0,4,2: 68:[63, 44] Operation: 71-27=44 Moving to Node #0,4,2 Current State: 68:[63, 44], Operations: ['16+11=27', '71-27=44'] Exploring Operation: 63-44=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,4,2 Current State: 68:[63, 44], Operations: ['16+11=27', '71-27=44'] Exploring Operation: 63+44=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,4 Current State: 68:[63, 71, 27], Operations: ['16+11=27'] Exploring Operation: 63+27=90, Resulting Numbers: [71, 90] Generated Node #0,4,3: 68:[71, 90] Operation: 63+27=90 Moving to Node #0,4,3 Current State: 68:[71, 90], Operations: ['16+11=27', '63+27=90'] Exploring Operation: 90-71=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,4 Current State: 68:[63, 71, 27], Operations: ['16+11=27'] Exploring Operation: 71+27=98, Resulting Numbers: [63, 98] Generated Node #0,4,4: 68:[63, 98] Operation: 71+27=98 Moving to Node #0,4,4 Current State: 68:[63, 98], Operations: ['16+11=27', '71+27=98'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 16+63=79, Resulting Numbers: [71, 11, 79] Generated Node #0,5: 68:[71, 11, 79] Operation: 16+63=79 Moving to Node #0,5 Current State: 68:[71, 11, 79], Operations: ['16+63=79'] Exploring Operation: 79-11=68, Resulting Numbers: [71, 68] Generated Node #0,5,0: 68:[71, 68] Operation: 79-11=68 Moving to Node #0,5,0 Current State: 68:[71, 68], Operations: ['16+63=79', '79-11=68'] Exploring Operation: 71-68=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,5 Current State: 68:[71, 11, 79], Operations: ['16+63=79'] Exploring Operation: 79-71=8, Resulting Numbers: [11, 8] Generated Node #0,5,1: 68:[11, 8] Operation: 79-71=8 Moving to Node #0,5,1 Current State: 68:[11, 8], Operations: ['16+63=79', '79-71=8'] Exploring Operation: 11-8=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,5,1 Current State: 68:[11, 8], Operations: ['16+63=79', '79-71=8'] Exploring Operation: 11+8=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,5,1 Current State: 68:[11, 8], Operations: ['16+63=79', '79-71=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,68 unequal: No Solution Moving to Node #0,5 Current State: 68:[71, 11, 79], Operations: ['16+63=79'] Exploring Operation: 71-11=60, Resulting Numbers: [79, 60] Generated Node #0,5,2: 68:[79, 60] Operation: 71-11=60 Moving to Node #0,5,2 Current State: 68:[79, 60], Operations: ['16+63=79', '71-11=60'] Exploring Operation: 79-60=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0,5 Current State: 68:[71, 11, 79], Operations: ['16+63=79'] Exploring Operation: 71+11=82, Resulting Numbers: [79, 82] Generated Node #0,5,3: 68:[79, 82] Operation: 71+11=82 Moving to Node #0,5,3 Current State: 68:[79, 82], Operations: ['16+63=79', '71+11=82'] Exploring Operation: 82-79=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,5 Current State: 68:[71, 11, 79], Operations: ['16+63=79'] Exploring Operation: 11+79=90, Resulting Numbers: [71, 90] Generated Node #0,5,4: 68:[71, 90] Operation: 11+79=90 Moving to Node #0,5,4 Current State: 68:[71, 90], Operations: ['16+63=79', '11+79=90'] Exploring Operation: 90-71=19, Resulting Numbers: [19] 19,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 63-11=52, Resulting Numbers: [16, 71, 52] Generated Node #0,6: 68:[16, 71, 52] Operation: 63-11=52 Moving to Node #0,6 Current State: 68:[16, 71, 52], Operations: ['63-11=52'] Exploring Operation: 16+52=68, Resulting Numbers: [71, 68] Generated Node #0,6,0: 68:[71, 68] Operation: 16+52=68 Moving to Node #0,6,0 Current State: 68:[71, 68], Operations: ['63-11=52', '16+52=68'] Exploring Operation: 71-68=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,6 Current State: 68:[16, 71, 52], Operations: ['63-11=52'] Exploring Operation: 71-52=19, Resulting Numbers: [16, 19] Generated Node #0,6,1: 68:[16, 19] Operation: 71-52=19 Moving to Node #0,6,1 Current State: 68:[16, 19], Operations: ['63-11=52', '71-52=19'] Exploring Operation: 16+19=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,6,1 Current State: 68:[16, 19], Operations: ['63-11=52', '71-52=19'] Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,6 Current State: 68:[16, 71, 52], Operations: ['63-11=52'] Exploring Operation: 52-16=36, Resulting Numbers: [71, 36] Generated Node #0,6,2: 68:[71, 36] Operation: 52-16=36 Moving to Node #0,6,2 Current State: 68:[71, 36], Operations: ['63-11=52', '52-16=36'] Exploring Operation: 71-36=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,6,2 Current State: 68:[71, 36], Operations: ['63-11=52', '52-16=36'] Exploring Operation: 71+36=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,6 Current State: 68:[16, 71, 52], Operations: ['63-11=52'] Exploring Operation: 71-16=55, Resulting Numbers: [52, 55] Generated Node #0,6,3: 68:[52, 55] Operation: 71-16=55 Moving to Node #0,6,3 Current State: 68:[52, 55], Operations: ['63-11=52', '71-16=55'] Exploring Operation: 55-52=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,6,3 Current State: 68:[52, 55], Operations: ['63-11=52', '71-16=55'] Exploring Operation: 52+55=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,6 Current State: 68:[16, 71, 52], Operations: ['63-11=52'] Exploring Operation: 16+71=87, Resulting Numbers: [52, 87] Generated Node #0,6,4: 68:[52, 87] Operation: 16+71=87 Moving to Node #0,6,4 Current State: 68:[52, 87], Operations: ['63-11=52', '16+71=87'] Exploring Operation: 87-52=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,6 Current State: 68:[16, 71, 52], Operations: ['63-11=52'] Exploring Operation: 71+52=123, Resulting Numbers: [16, 123] Generated Node #0,6,5: 68:[16, 123] Operation: 71+52=123 Moving to Node #0,6,5 Current State: 68:[16, 123], Operations: ['63-11=52', '71+52=123'] Exploring Operation: 123-16=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 71+11=82, Resulting Numbers: [16, 63, 82] Generated Node #0,7: 68:[16, 63, 82] Operation: 71+11=82 Moving to Node #0,7 Current State: 68:[16, 63, 82], Operations: ['71+11=82'] Exploring Operation: 82-63=19, Resulting Numbers: [16, 19] Generated Node #0,7,0: 68:[16, 19] Operation: 82-63=19 Moving to Node #0,7,0 Current State: 68:[16, 19], Operations: ['71+11=82', '82-63=19'] Exploring Operation: 16+19=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,7,0 Current State: 68:[16, 19], Operations: ['71+11=82', '82-63=19'] Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,7 Current State: 68:[16, 63, 82], Operations: ['71+11=82'] Exploring Operation: 82-16=66, Resulting Numbers: [63, 66] Generated Node #0,7,1: 68:[63, 66] Operation: 82-16=66 Moving to Node #0,7,1 Current State: 68:[63, 66], Operations: ['71+11=82', '82-16=66'] Exploring Operation: 66-63=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,7,1 Current State: 68:[63, 66], Operations: ['71+11=82', '82-16=66'] Exploring Operation: 63+66=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,7 Current State: 68:[16, 63, 82], Operations: ['71+11=82'] Exploring Operation: 16+63=79, Resulting Numbers: [82, 79] Generated Node #0,7,2: 68:[82, 79] Operation: 16+63=79 Moving to Node #0,7,2 Current State: 68:[82, 79], Operations: ['71+11=82', '16+63=79'] Exploring Operation: 82-79=3, Resulting Numbers: [3] 3,68 unequal: No Solution Moving to Node #0,7 Current State: 68:[16, 63, 82], Operations: ['71+11=82'] Exploring Operation: 63-16=47, Resulting Numbers: [82, 47] Generated Node #0,7,3: 68:[82, 47] Operation: 63-16=47 Moving to Node #0,7,3 Current State: 68:[82, 47], Operations: ['71+11=82', '63-16=47'] Exploring Operation: 82-47=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,7,3 Current State: 68:[82, 47], Operations: ['71+11=82', '63-16=47'] Exploring Operation: 82+47=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,7 Current State: 68:[16, 63, 82], Operations: ['71+11=82'] Exploring Operation: 16+82=98, Resulting Numbers: [63, 98] Generated Node #0,7,4: 68:[63, 98] Operation: 16+82=98 Moving to Node #0,7,4 Current State: 68:[63, 98], Operations: ['71+11=82', '16+82=98'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [71, 11, 47] Generated Node #0,8: 68:[71, 11, 47] Operation: 63-16=47 Moving to Node #0,8 Current State: 68:[71, 11, 47], Operations: ['63-16=47'] Exploring Operation: 47-11=36, Resulting Numbers: [71, 36] Generated Node #0,8,0: 68:[71, 36] Operation: 47-11=36 Moving to Node #0,8,0 Current State: 68:[71, 36], Operations: ['63-16=47', '47-11=36'] Exploring Operation: 71-36=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,8,0 Current State: 68:[71, 36], Operations: ['63-16=47', '47-11=36'] Exploring Operation: 71+36=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,8 Current State: 68:[71, 11, 47], Operations: ['63-16=47'] Exploring Operation: 71-47=24, Resulting Numbers: [11, 24] Generated Node #0,8,1: 68:[11, 24] Operation: 71-47=24 Moving to Node #0,8,1 Current State: 68:[11, 24], Operations: ['63-16=47', '71-47=24'] Exploring Operation: 11+24=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,8,1 Current State: 68:[11, 24], Operations: ['63-16=47', '71-47=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,8 Current State: 68:[71, 11, 47], Operations: ['63-16=47'] Exploring Operation: 11+47=58, Resulting Numbers: [71, 58] Generated Node #0,8,2: 68:[71, 58] Operation: 11+47=58 Moving to Node #0,8,2 Current State: 68:[71, 58], Operations: ['63-16=47', '11+47=58'] Exploring Operation: 71-58=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,8,2 Current State: 68:[71, 58], Operations: ['63-16=47', '11+47=58'] Exploring Operation: 71+58=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,8 Current State: 68:[71, 11, 47], Operations: ['63-16=47'] Exploring Operation: 71-11=60, Resulting Numbers: [47, 60] Generated Node #0,8,3: 68:[47, 60] Operation: 71-11=60 Moving to Node #0,8,3 Current State: 68:[47, 60], Operations: ['63-16=47', '71-11=60'] Exploring Operation: 60-47=13, Resulting Numbers: [13] 13,68 unequal: No Solution Moving to Node #0,8,3 Current State: 68:[47, 60], Operations: ['63-16=47', '71-11=60'] Exploring Operation: 47+60=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,8 Current State: 68:[71, 11, 47], Operations: ['63-16=47'] Exploring Operation: 71+11=82, Resulting Numbers: [47, 82] Generated Node #0,8,4: 68:[47, 82] Operation: 71+11=82 Moving to Node #0,8,4 Current State: 68:[47, 82], Operations: ['63-16=47', '71+11=82'] Exploring Operation: 82-47=35, Resulting Numbers: [35] 35,68 unequal: No Solution Moving to Node #0,8,4 Current State: 68:[47, 82], Operations: ['63-16=47', '71+11=82'] Exploring Operation: 47+82=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0,8 Current State: 68:[71, 11, 47], Operations: ['63-16=47'] Exploring Operation: 71+47=118, Resulting Numbers: [11, 118] Generated Node #0,8,5: 68:[11, 118] Operation: 71+47=118 Moving to Node #0,8,5 Current State: 68:[11, 118], Operations: ['63-16=47', '71+47=118'] Exploring Operation: 118-11=107, Resulting Numbers: [107] 107,68 unequal: No Solution Moving to Node #0,8,5 Current State: 68:[11, 118], Operations: ['63-16=47', '71+47=118'] Exploring Operation: 11+118=129, Resulting Numbers: [129] 129,68 unequal: No Solution Moving to Node #0 Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 71-16=55, Resulting Numbers: [63, 11, 55] Generated Node #0,9: 68:[63, 11, 55] Operation: 71-16=55 Moving to Node #0,9 Current State: 68:[63, 11, 55], Operations: ['71-16=55'] Exploring Operation: 55/11=5, Resulting Numbers: [63, 5] Generated Node #0,9,0: 68:[63, 5] Operation: 55/11=5 Moving to Node #0,9,0 Current State: 68:[63, 5], Operations: ['71-16=55', '55/11=5'] Exploring Operation: 63+5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
0.861111
dfs
Current State: 68:[16, 63, 71, 11], Operations: [] Exploring Operation: 71-16=55, Resulting Numbers: [63, 11, 55] Generated Node #2: [63, 11, 55] from Operation: 71-16=55 Current State: 68:[63, 11, 55], Operations: ['71-16=55'] Exploring Operation: 55/11=5, Resulting Numbers: [63, 5] Generated Node #3: [63, 5] from Operation: 55/11=5 Current State: 68:[63, 5], Operations: ['71-16=55', '55/11=5'] Exploring Operation: 63+5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
mult_heuristic
[ { "content": "Make 68 with the numbers [16, 63, 71, 11] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 16-11=5, Resulting Numbers: [63, 71, 5]\nGenerated Node #0,0: 68:[63, 71, 5] Operation: 16-11=5\nMoving to Node #0,0\nCurrent State: 68:[63, 71, 5], Operations: ['16-11=5']\nExploring Operation: 63+5=68, Resulting Numbers: [71, 68]\nGenerated Node #0,0,0: 68:[71, 68] Operation: 63+5=68\nMoving to Node #0,0,0\nCurrent State: 68:[71, 68], Operations: ['16-11=5', '63+5=68']\nExploring Operation: 71-68=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 68:[63, 71, 5], Operations: ['16-11=5']\nExploring Operation: 71-63=8, Resulting Numbers: [5, 8]\nGenerated Node #0,0,1: 68:[5, 8] Operation: 71-63=8\nMoving to Node #0,0,1\nCurrent State: 68:[5, 8], Operations: ['16-11=5', '71-63=8']\nExploring Operation: 8-5=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 68:[5, 8], Operations: ['16-11=5', '71-63=8']\nExploring Operation: 5+8=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 68:[5, 8], Operations: ['16-11=5', '71-63=8']\nExploring Operation: 5*8=40, Resulting Numbers: [40]\n40,68 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 68:[63, 71, 5], Operations: ['16-11=5']\nExploring Operation: 71-5=66, Resulting Numbers: [63, 66]\nGenerated Node #0,0,2: 68:[63, 66] Operation: 71-5=66\nMoving to Node #0,0,2\nCurrent State: 68:[63, 66], Operations: ['16-11=5', '71-5=66']\nExploring Operation: 66-63=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 68:[63, 66], Operations: ['16-11=5', '71-5=66']\nExploring Operation: 63+66=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 68:[63, 71, 5], Operations: ['16-11=5']\nExploring Operation: 63-5=58, Resulting Numbers: [71, 58]\nGenerated Node #0,0,3: 68:[71, 58] Operation: 63-5=58\nMoving to Node #0,0,3\nCurrent State: 68:[71, 58], Operations: ['16-11=5', '63-5=58']\nExploring Operation: 71-58=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 68:[71, 58], Operations: ['16-11=5', '63-5=58']\nExploring Operation: 71+58=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 68:[63, 71, 5], Operations: ['16-11=5']\nExploring Operation: 71+5=76, Resulting Numbers: [63, 76]\nGenerated Node #0,0,4: 68:[63, 76] Operation: 71+5=76\nMoving to Node #0,0,4\nCurrent State: 68:[63, 76], Operations: ['16-11=5', '71+5=76']\nExploring Operation: 76-63=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 68:[63, 71, 5], Operations: ['16-11=5']\nExploring Operation: 63+71=134, Resulting Numbers: [5, 134]\nGenerated Node #0,0,5: 68:[5, 134] Operation: 63+71=134\nMoving to Node #0,0,5\nCurrent State: 68:[5, 134], Operations: ['16-11=5', '63+71=134']\nExploring Operation: 134-5=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 63+11=74, Resulting Numbers: [16, 71, 74]\nGenerated Node #0,1: 68:[16, 71, 74] Operation: 63+11=74\nMoving to Node #0,1\nCurrent State: 68:[16, 71, 74], Operations: ['63+11=74']\nExploring Operation: 74-71=3, Resulting Numbers: [16, 3]\nGenerated Node #0,1,0: 68:[16, 3] Operation: 74-71=3\nMoving to Node #0,1,0\nCurrent State: 68:[16, 3], Operations: ['63+11=74', '74-71=3']\nExploring Operation: 16+3=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 68:[16, 3], Operations: ['63+11=74', '74-71=3']\nExploring Operation: 16-3=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 68:[16, 3], Operations: ['63+11=74', '74-71=3']\nExploring Operation: 16*3=48, Resulting Numbers: [48]\n48,68 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 68:[16, 71, 74], Operations: ['63+11=74']\nExploring Operation: 74-16=58, Resulting Numbers: [71, 58]\nGenerated Node #0,1,1: 68:[71, 58] Operation: 74-16=58\nMoving to Node #0,1,1\nCurrent State: 68:[71, 58], Operations: ['63+11=74', '74-16=58']\nExploring Operation: 71-58=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 68:[71, 58], Operations: ['63+11=74', '74-16=58']\nExploring Operation: 71+58=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 68:[16, 71, 74], Operations: ['63+11=74']\nExploring Operation: 71-16=55, Resulting Numbers: [74, 55]\nGenerated Node #0,1,2: 68:[74, 55] Operation: 71-16=55\nMoving to Node #0,1,2\nCurrent State: 68:[74, 55], Operations: ['63+11=74', '71-16=55']\nExploring Operation: 74-55=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 68:[74, 55], Operations: ['63+11=74', '71-16=55']\nExploring Operation: 74+55=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 68:[16, 71, 74], Operations: ['63+11=74']\nExploring Operation: 16+71=87, Resulting Numbers: [74, 87]\nGenerated Node #0,1,3: 68:[74, 87] Operation: 16+71=87\nMoving to Node #0,1,3\nCurrent State: 68:[74, 87], Operations: ['63+11=74', '16+71=87']\nExploring Operation: 87-74=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 68:[16, 71, 74], Operations: ['63+11=74']\nExploring Operation: 16+74=90, Resulting Numbers: [71, 90]\nGenerated Node #0,1,4: 68:[71, 90] Operation: 16+74=90\nMoving to Node #0,1,4\nCurrent State: 68:[71, 90], Operations: ['63+11=74', '16+74=90']\nExploring Operation: 90-71=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 71-63=8, Resulting Numbers: [16, 11, 8]\nGenerated Node #0,2: 68:[16, 11, 8] Operation: 71-63=8\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 11-8=3, Resulting Numbers: [16, 3]\nGenerated Node #0,2,0: 68:[16, 3] Operation: 11-8=3\nMoving to Node #0,2,0\nCurrent State: 68:[16, 3], Operations: ['71-63=8', '11-8=3']\nExploring Operation: 16+3=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 68:[16, 3], Operations: ['71-63=8', '11-8=3']\nExploring Operation: 16-3=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 68:[16, 3], Operations: ['71-63=8', '11-8=3']\nExploring Operation: 16*3=48, Resulting Numbers: [48]\n48,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 11+8=19, Resulting Numbers: [16, 19]\nGenerated Node #0,2,1: 68:[16, 19] Operation: 11+8=19\nMoving to Node #0,2,1\nCurrent State: 68:[16, 19], Operations: ['71-63=8', '11+8=19']\nExploring Operation: 16+19=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 68:[16, 19], Operations: ['71-63=8', '11+8=19']\nExploring Operation: 19-16=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 16-11=5, Resulting Numbers: [8, 5]\nGenerated Node #0,2,2: 68:[8, 5] Operation: 16-11=5\nMoving to Node #0,2,2\nCurrent State: 68:[8, 5], Operations: ['71-63=8', '16-11=5']\nExploring Operation: 8-5=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 68:[8, 5], Operations: ['71-63=8', '16-11=5']\nExploring Operation: 8+5=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 68:[8, 5], Operations: ['71-63=8', '16-11=5']\nExploring Operation: 8*5=40, Resulting Numbers: [40]\n40,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 16/8=2, Resulting Numbers: [11, 2]\nGenerated Node #0,2,3: 68:[11, 2] Operation: 16/8=2\nMoving to Node #0,2,3\nCurrent State: 68:[11, 2], Operations: ['71-63=8', '16/8=2']\nExploring Operation: 11+2=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 68:[11, 2], Operations: ['71-63=8', '16/8=2']\nExploring Operation: 11*2=22, Resulting Numbers: [22]\n22,68 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 68:[11, 2], Operations: ['71-63=8', '16/8=2']\nExploring Operation: 11-2=9, Resulting Numbers: [9]\n9,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 16-8=8, Resulting Numbers: [11, 8]\nGenerated Node #0,2,4: 68:[11, 8] Operation: 16-8=8\nMoving to Node #0,2,4\nCurrent State: 68:[11, 8], Operations: ['71-63=8', '16-8=8']\nExploring Operation: 11-8=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 68:[11, 8], Operations: ['71-63=8', '16-8=8']\nExploring Operation: 11+8=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 68:[11, 8], Operations: ['71-63=8', '16-8=8']\nExploring Operation: 11*8=88, Resulting Numbers: [88]\n88,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 16+11=27, Resulting Numbers: [8, 27]\nGenerated Node #0,2,5: 68:[8, 27] Operation: 16+11=27\nMoving to Node #0,2,5\nCurrent State: 68:[8, 27], Operations: ['71-63=8', '16+11=27']\nExploring Operation: 8+27=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 68:[8, 27], Operations: ['71-63=8', '16+11=27']\nExploring Operation: 27-8=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 16+8=24, Resulting Numbers: [11, 24]\nGenerated Node #0,2,6: 68:[11, 24] Operation: 16+8=24\nMoving to Node #0,2,6\nCurrent State: 68:[11, 24], Operations: ['71-63=8', '16+8=24']\nExploring Operation: 11+24=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,2,6\nCurrent State: 68:[11, 24], Operations: ['71-63=8', '16+8=24']\nExploring Operation: 24-11=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 11*8=88, Resulting Numbers: [16, 88]\nGenerated Node #0,2,7: 68:[16, 88] Operation: 11*8=88\nMoving to Node #0,2,7\nCurrent State: 68:[16, 88], Operations: ['71-63=8', '11*8=88']\nExploring Operation: 88-16=72, Resulting Numbers: [72]\n72,68 unequal: No Solution\nMoving to Node #0,2,7\nCurrent State: 68:[16, 88], Operations: ['71-63=8', '11*8=88']\nExploring Operation: 16+88=104, Resulting Numbers: [104]\n104,68 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 68:[16, 11, 8], Operations: ['71-63=8']\nExploring Operation: 16*8=128, Resulting Numbers: [11, 128]\nGenerated Node #0,2,8: 68:[11, 128] Operation: 16*8=128\nMoving to Node #0,2,8\nCurrent State: 68:[11, 128], Operations: ['71-63=8', '16*8=128']\nExploring Operation: 128-11=117, Resulting Numbers: [117]\n117,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 71-11=60, Resulting Numbers: [16, 63, 60]\nGenerated Node #0,3: 68:[16, 63, 60] Operation: 71-11=60\nMoving to Node #0,3\nCurrent State: 68:[16, 63, 60], Operations: ['71-11=60']\nExploring Operation: 63-60=3, Resulting Numbers: [16, 3]\nGenerated Node #0,3,0: 68:[16, 3] Operation: 63-60=3\nMoving to Node #0,3,0\nCurrent State: 68:[16, 3], Operations: ['71-11=60', '63-60=3']\nExploring Operation: 16+3=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 68:[16, 3], Operations: ['71-11=60', '63-60=3']\nExploring Operation: 16-3=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 68:[16, 3], Operations: ['71-11=60', '63-60=3']\nExploring Operation: 16*3=48, Resulting Numbers: [48]\n48,68 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 68:[16, 63, 60], Operations: ['71-11=60']\nExploring Operation: 16+60=76, Resulting Numbers: [63, 76]\nGenerated Node #0,3,1: 68:[63, 76] Operation: 16+60=76\nMoving to Node #0,3,1\nCurrent State: 68:[63, 76], Operations: ['71-11=60', '16+60=76']\nExploring Operation: 76-63=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 68:[16, 63, 60], Operations: ['71-11=60']\nExploring Operation: 60-16=44, Resulting Numbers: [63, 44]\nGenerated Node #0,3,2: 68:[63, 44] Operation: 60-16=44\nMoving to Node #0,3,2\nCurrent State: 68:[63, 44], Operations: ['71-11=60', '60-16=44']\nExploring Operation: 63-44=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 68:[63, 44], Operations: ['71-11=60', '60-16=44']\nExploring Operation: 63+44=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 68:[16, 63, 60], Operations: ['71-11=60']\nExploring Operation: 16+63=79, Resulting Numbers: [60, 79]\nGenerated Node #0,3,3: 68:[60, 79] Operation: 16+63=79\nMoving to Node #0,3,3\nCurrent State: 68:[60, 79], Operations: ['71-11=60', '16+63=79']\nExploring Operation: 79-60=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 68:[16, 63, 60], Operations: ['71-11=60']\nExploring Operation: 63-16=47, Resulting Numbers: [60, 47]\nGenerated Node #0,3,4: 68:[60, 47] Operation: 63-16=47\nMoving to Node #0,3,4\nCurrent State: 68:[60, 47], Operations: ['71-11=60', '63-16=47']\nExploring Operation: 60-47=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 68:[60, 47], Operations: ['71-11=60', '63-16=47']\nExploring Operation: 60+47=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 68:[16, 63, 60], Operations: ['71-11=60']\nExploring Operation: 63+60=123, Resulting Numbers: [16, 123]\nGenerated Node #0,3,5: 68:[16, 123] Operation: 63+60=123\nMoving to Node #0,3,5\nCurrent State: 68:[16, 123], Operations: ['71-11=60', '63+60=123']\nExploring Operation: 123-16=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 16+11=27, Resulting Numbers: [63, 71, 27]\nGenerated Node #0,4: 68:[63, 71, 27] Operation: 16+11=27\nMoving to Node #0,4\nCurrent State: 68:[63, 71, 27], Operations: ['16+11=27']\nExploring Operation: 63-27=36, Resulting Numbers: [71, 36]\nGenerated Node #0,4,0: 68:[71, 36] Operation: 63-27=36\nMoving to Node #0,4,0\nCurrent State: 68:[71, 36], Operations: ['16+11=27', '63-27=36']\nExploring Operation: 71-36=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 68:[71, 36], Operations: ['16+11=27', '63-27=36']\nExploring Operation: 71+36=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 68:[63, 71, 27], Operations: ['16+11=27']\nExploring Operation: 71-63=8, Resulting Numbers: [27, 8]\nGenerated Node #0,4,1: 68:[27, 8] Operation: 71-63=8\nMoving to Node #0,4,1\nCurrent State: 68:[27, 8], Operations: ['16+11=27', '71-63=8']\nExploring Operation: 27+8=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 68:[27, 8], Operations: ['16+11=27', '71-63=8']\nExploring Operation: 27-8=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 68:[63, 71, 27], Operations: ['16+11=27']\nExploring Operation: 71-27=44, Resulting Numbers: [63, 44]\nGenerated Node #0,4,2: 68:[63, 44] Operation: 71-27=44\nMoving to Node #0,4,2\nCurrent State: 68:[63, 44], Operations: ['16+11=27', '71-27=44']\nExploring Operation: 63-44=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 68:[63, 44], Operations: ['16+11=27', '71-27=44']\nExploring Operation: 63+44=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 68:[63, 71, 27], Operations: ['16+11=27']\nExploring Operation: 63+27=90, Resulting Numbers: [71, 90]\nGenerated Node #0,4,3: 68:[71, 90] Operation: 63+27=90\nMoving to Node #0,4,3\nCurrent State: 68:[71, 90], Operations: ['16+11=27', '63+27=90']\nExploring Operation: 90-71=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 68:[63, 71, 27], Operations: ['16+11=27']\nExploring Operation: 71+27=98, Resulting Numbers: [63, 98]\nGenerated Node #0,4,4: 68:[63, 98] Operation: 71+27=98\nMoving to Node #0,4,4\nCurrent State: 68:[63, 98], Operations: ['16+11=27', '71+27=98']\nExploring Operation: 98-63=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 16+63=79, Resulting Numbers: [71, 11, 79]\nGenerated Node #0,5: 68:[71, 11, 79] Operation: 16+63=79\nMoving to Node #0,5\nCurrent State: 68:[71, 11, 79], Operations: ['16+63=79']\nExploring Operation: 79-11=68, Resulting Numbers: [71, 68]\nGenerated Node #0,5,0: 68:[71, 68] Operation: 79-11=68\nMoving to Node #0,5,0\nCurrent State: 68:[71, 68], Operations: ['16+63=79', '79-11=68']\nExploring Operation: 71-68=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 68:[71, 11, 79], Operations: ['16+63=79']\nExploring Operation: 79-71=8, Resulting Numbers: [11, 8]\nGenerated Node #0,5,1: 68:[11, 8] Operation: 79-71=8\nMoving to Node #0,5,1\nCurrent State: 68:[11, 8], Operations: ['16+63=79', '79-71=8']\nExploring Operation: 11-8=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 68:[11, 8], Operations: ['16+63=79', '79-71=8']\nExploring Operation: 11+8=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 68:[11, 8], Operations: ['16+63=79', '79-71=8']\nExploring Operation: 11*8=88, Resulting Numbers: [88]\n88,68 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 68:[71, 11, 79], Operations: ['16+63=79']\nExploring Operation: 71-11=60, Resulting Numbers: [79, 60]\nGenerated Node #0,5,2: 68:[79, 60] Operation: 71-11=60\nMoving to Node #0,5,2\nCurrent State: 68:[79, 60], Operations: ['16+63=79', '71-11=60']\nExploring Operation: 79-60=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 68:[71, 11, 79], Operations: ['16+63=79']\nExploring Operation: 71+11=82, Resulting Numbers: [79, 82]\nGenerated Node #0,5,3: 68:[79, 82] Operation: 71+11=82\nMoving to Node #0,5,3\nCurrent State: 68:[79, 82], Operations: ['16+63=79', '71+11=82']\nExploring Operation: 82-79=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 68:[71, 11, 79], Operations: ['16+63=79']\nExploring Operation: 11+79=90, Resulting Numbers: [71, 90]\nGenerated Node #0,5,4: 68:[71, 90] Operation: 11+79=90\nMoving to Node #0,5,4\nCurrent State: 68:[71, 90], Operations: ['16+63=79', '11+79=90']\nExploring Operation: 90-71=19, Resulting Numbers: [19]\n19,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 63-11=52, Resulting Numbers: [16, 71, 52]\nGenerated Node #0,6: 68:[16, 71, 52] Operation: 63-11=52\nMoving to Node #0,6\nCurrent State: 68:[16, 71, 52], Operations: ['63-11=52']\nExploring Operation: 16+52=68, Resulting Numbers: [71, 68]\nGenerated Node #0,6,0: 68:[71, 68] Operation: 16+52=68\nMoving to Node #0,6,0\nCurrent State: 68:[71, 68], Operations: ['63-11=52', '16+52=68']\nExploring Operation: 71-68=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 68:[16, 71, 52], Operations: ['63-11=52']\nExploring Operation: 71-52=19, Resulting Numbers: [16, 19]\nGenerated Node #0,6,1: 68:[16, 19] Operation: 71-52=19\nMoving to Node #0,6,1\nCurrent State: 68:[16, 19], Operations: ['63-11=52', '71-52=19']\nExploring Operation: 16+19=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 68:[16, 19], Operations: ['63-11=52', '71-52=19']\nExploring Operation: 19-16=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 68:[16, 71, 52], Operations: ['63-11=52']\nExploring Operation: 52-16=36, Resulting Numbers: [71, 36]\nGenerated Node #0,6,2: 68:[71, 36] Operation: 52-16=36\nMoving to Node #0,6,2\nCurrent State: 68:[71, 36], Operations: ['63-11=52', '52-16=36']\nExploring Operation: 71-36=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 68:[71, 36], Operations: ['63-11=52', '52-16=36']\nExploring Operation: 71+36=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 68:[16, 71, 52], Operations: ['63-11=52']\nExploring Operation: 71-16=55, Resulting Numbers: [52, 55]\nGenerated Node #0,6,3: 68:[52, 55] Operation: 71-16=55\nMoving to Node #0,6,3\nCurrent State: 68:[52, 55], Operations: ['63-11=52', '71-16=55']\nExploring Operation: 55-52=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 68:[52, 55], Operations: ['63-11=52', '71-16=55']\nExploring Operation: 52+55=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 68:[16, 71, 52], Operations: ['63-11=52']\nExploring Operation: 16+71=87, Resulting Numbers: [52, 87]\nGenerated Node #0,6,4: 68:[52, 87] Operation: 16+71=87\nMoving to Node #0,6,4\nCurrent State: 68:[52, 87], Operations: ['63-11=52', '16+71=87']\nExploring Operation: 87-52=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 68:[16, 71, 52], Operations: ['63-11=52']\nExploring Operation: 71+52=123, Resulting Numbers: [16, 123]\nGenerated Node #0,6,5: 68:[16, 123] Operation: 71+52=123\nMoving to Node #0,6,5\nCurrent State: 68:[16, 123], Operations: ['63-11=52', '71+52=123']\nExploring Operation: 123-16=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 71+11=82, Resulting Numbers: [16, 63, 82]\nGenerated Node #0,7: 68:[16, 63, 82] Operation: 71+11=82\nMoving to Node #0,7\nCurrent State: 68:[16, 63, 82], Operations: ['71+11=82']\nExploring Operation: 82-63=19, Resulting Numbers: [16, 19]\nGenerated Node #0,7,0: 68:[16, 19] Operation: 82-63=19\nMoving to Node #0,7,0\nCurrent State: 68:[16, 19], Operations: ['71+11=82', '82-63=19']\nExploring Operation: 16+19=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 68:[16, 19], Operations: ['71+11=82', '82-63=19']\nExploring Operation: 19-16=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 68:[16, 63, 82], Operations: ['71+11=82']\nExploring Operation: 82-16=66, Resulting Numbers: [63, 66]\nGenerated Node #0,7,1: 68:[63, 66] Operation: 82-16=66\nMoving to Node #0,7,1\nCurrent State: 68:[63, 66], Operations: ['71+11=82', '82-16=66']\nExploring Operation: 66-63=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 68:[63, 66], Operations: ['71+11=82', '82-16=66']\nExploring Operation: 63+66=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 68:[16, 63, 82], Operations: ['71+11=82']\nExploring Operation: 16+63=79, Resulting Numbers: [82, 79]\nGenerated Node #0,7,2: 68:[82, 79] Operation: 16+63=79\nMoving to Node #0,7,2\nCurrent State: 68:[82, 79], Operations: ['71+11=82', '16+63=79']\nExploring Operation: 82-79=3, Resulting Numbers: [3]\n3,68 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 68:[16, 63, 82], Operations: ['71+11=82']\nExploring Operation: 63-16=47, Resulting Numbers: [82, 47]\nGenerated Node #0,7,3: 68:[82, 47] Operation: 63-16=47\nMoving to Node #0,7,3\nCurrent State: 68:[82, 47], Operations: ['71+11=82', '63-16=47']\nExploring Operation: 82-47=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 68:[82, 47], Operations: ['71+11=82', '63-16=47']\nExploring Operation: 82+47=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 68:[16, 63, 82], Operations: ['71+11=82']\nExploring Operation: 16+82=98, Resulting Numbers: [63, 98]\nGenerated Node #0,7,4: 68:[63, 98] Operation: 16+82=98\nMoving to Node #0,7,4\nCurrent State: 68:[63, 98], Operations: ['71+11=82', '16+82=98']\nExploring Operation: 98-63=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 63-16=47, Resulting Numbers: [71, 11, 47]\nGenerated Node #0,8: 68:[71, 11, 47] Operation: 63-16=47\nMoving to Node #0,8\nCurrent State: 68:[71, 11, 47], Operations: ['63-16=47']\nExploring Operation: 47-11=36, Resulting Numbers: [71, 36]\nGenerated Node #0,8,0: 68:[71, 36] Operation: 47-11=36\nMoving to Node #0,8,0\nCurrent State: 68:[71, 36], Operations: ['63-16=47', '47-11=36']\nExploring Operation: 71-36=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 68:[71, 36], Operations: ['63-16=47', '47-11=36']\nExploring Operation: 71+36=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 68:[71, 11, 47], Operations: ['63-16=47']\nExploring Operation: 71-47=24, Resulting Numbers: [11, 24]\nGenerated Node #0,8,1: 68:[11, 24] Operation: 71-47=24\nMoving to Node #0,8,1\nCurrent State: 68:[11, 24], Operations: ['63-16=47', '71-47=24']\nExploring Operation: 11+24=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 68:[11, 24], Operations: ['63-16=47', '71-47=24']\nExploring Operation: 24-11=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 68:[71, 11, 47], Operations: ['63-16=47']\nExploring Operation: 11+47=58, Resulting Numbers: [71, 58]\nGenerated Node #0,8,2: 68:[71, 58] Operation: 11+47=58\nMoving to Node #0,8,2\nCurrent State: 68:[71, 58], Operations: ['63-16=47', '11+47=58']\nExploring Operation: 71-58=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 68:[71, 58], Operations: ['63-16=47', '11+47=58']\nExploring Operation: 71+58=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 68:[71, 11, 47], Operations: ['63-16=47']\nExploring Operation: 71-11=60, Resulting Numbers: [47, 60]\nGenerated Node #0,8,3: 68:[47, 60] Operation: 71-11=60\nMoving to Node #0,8,3\nCurrent State: 68:[47, 60], Operations: ['63-16=47', '71-11=60']\nExploring Operation: 60-47=13, Resulting Numbers: [13]\n13,68 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 68:[47, 60], Operations: ['63-16=47', '71-11=60']\nExploring Operation: 47+60=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 68:[71, 11, 47], Operations: ['63-16=47']\nExploring Operation: 71+11=82, Resulting Numbers: [47, 82]\nGenerated Node #0,8,4: 68:[47, 82] Operation: 71+11=82\nMoving to Node #0,8,4\nCurrent State: 68:[47, 82], Operations: ['63-16=47', '71+11=82']\nExploring Operation: 82-47=35, Resulting Numbers: [35]\n35,68 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 68:[47, 82], Operations: ['63-16=47', '71+11=82']\nExploring Operation: 47+82=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 68:[71, 11, 47], Operations: ['63-16=47']\nExploring Operation: 71+47=118, Resulting Numbers: [11, 118]\nGenerated Node #0,8,5: 68:[11, 118] Operation: 71+47=118\nMoving to Node #0,8,5\nCurrent State: 68:[11, 118], Operations: ['63-16=47', '71+47=118']\nExploring Operation: 118-11=107, Resulting Numbers: [107]\n107,68 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 68:[11, 118], Operations: ['63-16=47', '71+47=118']\nExploring Operation: 11+118=129, Resulting Numbers: [129]\n129,68 unequal: No Solution\nMoving to Node #0\nCurrent State: 68:[16, 63, 71, 11], Operations: []\nExploring Operation: 71-16=55, Resulting Numbers: [63, 11, 55]\nGenerated Node #0,9: 68:[63, 11, 55] Operation: 71-16=55\nMoving to Node #0,9\nCurrent State: 68:[63, 11, 55], Operations: ['71-16=55']\nExploring Operation: 55/11=5, Resulting Numbers: [63, 5]\nGenerated Node #0,9,0: 68:[63, 5] Operation: 55/11=5\nMoving to Node #0,9,0\nCurrent State: 68:[63, 5], Operations: ['71-16=55', '55/11=5']\nExploring Operation: 63+5=68, Resulting Numbers: [68]\n68,68 equal: Goal Reached\n", "role": "assistant" } ]
[ 25, 84, 34, 60 ]
69
[ "25*84=2100", "2100/60=35", "34+35=69" ]
Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 25+34=59, Resulting Numbers: [84, 60, 59] Generated Node #0,0: 69:[84, 60, 59] Operation: 25+34=59 Moving to Node #0,0 Current State: 69:[84, 60, 59], Operations: ['25+34=59'] Exploring Operation: 84-59=25, Resulting Numbers: [60, 25] Generated Node #0,0,0: 69:[60, 25] Operation: 84-59=25 Moving to Node #0,0,0 Current State: 69:[60, 25], Operations: ['25+34=59', '84-59=25'] Exploring Operation: 60+25=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,0,0 Current State: 69:[60, 25], Operations: ['25+34=59', '84-59=25'] Exploring Operation: 60-25=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,0 Current State: 69:[84, 60, 59], Operations: ['25+34=59'] Exploring Operation: 84-60=24, Resulting Numbers: [59, 24] Generated Node #0,0,1: 69:[59, 24] Operation: 84-60=24 Moving to Node #0,0,1 Current State: 69:[59, 24], Operations: ['25+34=59', '84-60=24'] Exploring Operation: 59+24=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,0,1 Current State: 69:[59, 24], Operations: ['25+34=59', '84-60=24'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,0 Current State: 69:[84, 60, 59], Operations: ['25+34=59'] Exploring Operation: 60+59=119, Resulting Numbers: [84, 119] Generated Node #0,0,2: 69:[84, 119] Operation: 60+59=119 Moving to Node #0,0,2 Current State: 69:[84, 119], Operations: ['25+34=59', '60+59=119'] Exploring Operation: 119-84=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,0 Current State: 69:[84, 60, 59], Operations: ['25+34=59'] Exploring Operation: 84+59=143, Resulting Numbers: [60, 143] Generated Node #0,0,3: 69:[60, 143] Operation: 84+59=143 Moving to Node #0,0,3 Current State: 69:[60, 143], Operations: ['25+34=59', '84+59=143'] Exploring Operation: 143-60=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,0 Current State: 69:[84, 60, 59], Operations: ['25+34=59'] Exploring Operation: 60-59=1, Resulting Numbers: [84, 1] Generated Node #0,0,4: 69:[84, 1] Operation: 60-59=1 Moving to Node #0,0,4 Current State: 69:[84, 1], Operations: ['25+34=59', '60-59=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,0,4 Current State: 69:[84, 1], Operations: ['25+34=59', '60-59=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,69 unequal: No Solution Moving to Node #0,0,4 Current State: 69:[84, 1], Operations: ['25+34=59', '60-59=1'] Exploring Operation: 84/1=84, Resulting Numbers: [84] 84,69 unequal: No Solution Moving to Node #0,0,4 Current State: 69:[84, 1], Operations: ['25+34=59', '60-59=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,0 Current State: 69:[84, 60, 59], Operations: ['25+34=59'] Exploring Operation: 84+60=144, Resulting Numbers: [59, 144] Generated Node #0,0,5: 69:[59, 144] Operation: 84+60=144 Moving to Node #0,0,5 Current State: 69:[59, 144], Operations: ['25+34=59', '84+60=144'] Exploring Operation: 144-59=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 84-25=59, Resulting Numbers: [34, 60, 59] Generated Node #0,1: 69:[34, 60, 59] Operation: 84-25=59 Moving to Node #0,1 Current State: 69:[34, 60, 59], Operations: ['84-25=59'] Exploring Operation: 34+59=93, Resulting Numbers: [60, 93] Generated Node #0,1,0: 69:[60, 93] Operation: 34+59=93 Moving to Node #0,1,0 Current State: 69:[60, 93], Operations: ['84-25=59', '34+59=93'] Exploring Operation: 93-60=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,1 Current State: 69:[34, 60, 59], Operations: ['84-25=59'] Exploring Operation: 34+60=94, Resulting Numbers: [59, 94] Generated Node #0,1,1: 69:[59, 94] Operation: 34+60=94 Moving to Node #0,1,1 Current State: 69:[59, 94], Operations: ['84-25=59', '34+60=94'] Exploring Operation: 94-59=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,1 Current State: 69:[34, 60, 59], Operations: ['84-25=59'] Exploring Operation: 60-34=26, Resulting Numbers: [59, 26] Generated Node #0,1,2: 69:[59, 26] Operation: 60-34=26 Moving to Node #0,1,2 Current State: 69:[59, 26], Operations: ['84-25=59', '60-34=26'] Exploring Operation: 59+26=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,1,2 Current State: 69:[59, 26], Operations: ['84-25=59', '60-34=26'] Exploring Operation: 59-26=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,1 Current State: 69:[34, 60, 59], Operations: ['84-25=59'] Exploring Operation: 59-34=25, Resulting Numbers: [60, 25] Generated Node #0,1,3: 69:[60, 25] Operation: 59-34=25 Moving to Node #0,1,3 Current State: 69:[60, 25], Operations: ['84-25=59', '59-34=25'] Exploring Operation: 60+25=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,1,3 Current State: 69:[60, 25], Operations: ['84-25=59', '59-34=25'] Exploring Operation: 60-25=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,1 Current State: 69:[34, 60, 59], Operations: ['84-25=59'] Exploring Operation: 60+59=119, Resulting Numbers: [34, 119] Generated Node #0,1,4: 69:[34, 119] Operation: 60+59=119 Moving to Node #0,1,4 Current State: 69:[34, 119], Operations: ['84-25=59', '60+59=119'] Exploring Operation: 119-34=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,1 Current State: 69:[34, 60, 59], Operations: ['84-25=59'] Exploring Operation: 60-59=1, Resulting Numbers: [34, 1] Generated Node #0,1,5: 69:[34, 1] Operation: 60-59=1 Moving to Node #0,1,5 Current State: 69:[34, 1], Operations: ['84-25=59', '60-59=1'] Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,1,5 Current State: 69:[34, 1], Operations: ['84-25=59', '60-59=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,69 unequal: No Solution Moving to Node #0,1,5 Current State: 69:[34, 1], Operations: ['84-25=59', '60-59=1'] Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,69 unequal: No Solution Moving to Node #0,1,5 Current State: 69:[34, 1], Operations: ['84-25=59', '60-59=1'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 25+60=85, Resulting Numbers: [84, 34, 85] Generated Node #0,2: 69:[84, 34, 85] Operation: 25+60=85 Moving to Node #0,2 Current State: 69:[84, 34, 85], Operations: ['25+60=85'] Exploring Operation: 85-34=51, Resulting Numbers: [84, 51] Generated Node #0,2,0: 69:[84, 51] Operation: 85-34=51 Moving to Node #0,2,0 Current State: 69:[84, 51], Operations: ['25+60=85', '85-34=51'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,2,0 Current State: 69:[84, 51], Operations: ['25+60=85', '85-34=51'] Exploring Operation: 84+51=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,2 Current State: 69:[84, 34, 85], Operations: ['25+60=85'] Exploring Operation: 84-34=50, Resulting Numbers: [85, 50] Generated Node #0,2,1: 69:[85, 50] Operation: 84-34=50 Moving to Node #0,2,1 Current State: 69:[85, 50], Operations: ['25+60=85', '84-34=50'] Exploring Operation: 85-50=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,2,1 Current State: 69:[85, 50], Operations: ['25+60=85', '84-34=50'] Exploring Operation: 85+50=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,2 Current State: 69:[84, 34, 85], Operations: ['25+60=85'] Exploring Operation: 84+34=118, Resulting Numbers: [85, 118] Generated Node #0,2,2: 69:[85, 118] Operation: 84+34=118 Moving to Node #0,2,2 Current State: 69:[85, 118], Operations: ['25+60=85', '84+34=118'] Exploring Operation: 118-85=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,2 Current State: 69:[84, 34, 85], Operations: ['25+60=85'] Exploring Operation: 34+85=119, Resulting Numbers: [84, 119] Generated Node #0,2,3: 69:[84, 119] Operation: 34+85=119 Moving to Node #0,2,3 Current State: 69:[84, 119], Operations: ['25+60=85', '34+85=119'] Exploring Operation: 119-84=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,2 Current State: 69:[84, 34, 85], Operations: ['25+60=85'] Exploring Operation: 85-84=1, Resulting Numbers: [34, 1] Generated Node #0,2,4: 69:[34, 1] Operation: 85-84=1 Moving to Node #0,2,4 Current State: 69:[34, 1], Operations: ['25+60=85', '85-84=1'] Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,2,4 Current State: 69:[34, 1], Operations: ['25+60=85', '85-84=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,69 unequal: No Solution Moving to Node #0,2,4 Current State: 69:[34, 1], Operations: ['25+60=85', '85-84=1'] Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,69 unequal: No Solution Moving to Node #0,2,4 Current State: 69:[34, 1], Operations: ['25+60=85', '85-84=1'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,2 Current State: 69:[84, 34, 85], Operations: ['25+60=85'] Exploring Operation: 84+85=169, Resulting Numbers: [34, 169] Generated Node #0,2,5: 69:[34, 169] Operation: 84+85=169 Moving to Node #0,2,5 Current State: 69:[34, 169], Operations: ['25+60=85', '84+85=169'] Exploring Operation: 169-34=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 84-34=50, Resulting Numbers: [25, 60, 50] Generated Node #0,3: 69:[25, 60, 50] Operation: 84-34=50 Moving to Node #0,3 Current State: 69:[25, 60, 50], Operations: ['84-34=50'] Exploring Operation: 25+50=75, Resulting Numbers: [60, 75] Generated Node #0,3,0: 69:[60, 75] Operation: 25+50=75 Moving to Node #0,3,0 Current State: 69:[60, 75], Operations: ['84-34=50', '25+50=75'] Exploring Operation: 75-60=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,3,0 Current State: 69:[60, 75], Operations: ['84-34=50', '25+50=75'] Exploring Operation: 60+75=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,3 Current State: 69:[25, 60, 50], Operations: ['84-34=50'] Exploring Operation: 25+60=85, Resulting Numbers: [50, 85] Generated Node #0,3,1: 69:[50, 85] Operation: 25+60=85 Moving to Node #0,3,1 Current State: 69:[50, 85], Operations: ['84-34=50', '25+60=85'] Exploring Operation: 85-50=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,3,1 Current State: 69:[50, 85], Operations: ['84-34=50', '25+60=85'] Exploring Operation: 50+85=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,3 Current State: 69:[25, 60, 50], Operations: ['84-34=50'] Exploring Operation: 60-25=35, Resulting Numbers: [50, 35] Generated Node #0,3,2: 69:[50, 35] Operation: 60-25=35 Moving to Node #0,3,2 Current State: 69:[50, 35], Operations: ['84-34=50', '60-25=35'] Exploring Operation: 50+35=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,3,2 Current State: 69:[50, 35], Operations: ['84-34=50', '60-25=35'] Exploring Operation: 50-35=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,3 Current State: 69:[25, 60, 50], Operations: ['84-34=50'] Exploring Operation: 50-25=25, Resulting Numbers: [60, 25] Generated Node #0,3,3: 69:[60, 25] Operation: 50-25=25 Moving to Node #0,3,3 Current State: 69:[60, 25], Operations: ['84-34=50', '50-25=25'] Exploring Operation: 60+25=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,3,3 Current State: 69:[60, 25], Operations: ['84-34=50', '50-25=25'] Exploring Operation: 60-25=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,3 Current State: 69:[25, 60, 50], Operations: ['84-34=50'] Exploring Operation: 50/25=2, Resulting Numbers: [60, 2] Generated Node #0,3,4: 69:[60, 2] Operation: 50/25=2 Moving to Node #0,3,4 Current State: 69:[60, 2], Operations: ['84-34=50', '50/25=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,69 unequal: No Solution Moving to Node #0,3,4 Current State: 69:[60, 2], Operations: ['84-34=50', '50/25=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,69 unequal: No Solution Moving to Node #0,3,4 Current State: 69:[60, 2], Operations: ['84-34=50', '50/25=2'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,69 unequal: No Solution Moving to Node #0,3,4 Current State: 69:[60, 2], Operations: ['84-34=50', '50/25=2'] Exploring Operation: 60*2=120, Resulting Numbers: [120] 120,69 unequal: No Solution Moving to Node #0,3 Current State: 69:[25, 60, 50], Operations: ['84-34=50'] Exploring Operation: 60+50=110, Resulting Numbers: [25, 110] Generated Node #0,3,5: 69:[25, 110] Operation: 60+50=110 Moving to Node #0,3,5 Current State: 69:[25, 110], Operations: ['84-34=50', '60+50=110'] Exploring Operation: 110-25=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,3,5 Current State: 69:[25, 110], Operations: ['84-34=50', '60+50=110'] Exploring Operation: 25+110=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,3 Current State: 69:[25, 60, 50], Operations: ['84-34=50'] Exploring Operation: 60-50=10, Resulting Numbers: [25, 10] Generated Node #0,3,6: 69:[25, 10] Operation: 60-50=10 Moving to Node #0,3,6 Current State: 69:[25, 10], Operations: ['84-34=50', '60-50=10'] Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,3,6 Current State: 69:[25, 10], Operations: ['84-34=50', '60-50=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 25+84=109, Resulting Numbers: [34, 60, 109] Generated Node #0,4: 69:[34, 60, 109] Operation: 25+84=109 Moving to Node #0,4 Current State: 69:[34, 60, 109], Operations: ['25+84=109'] Exploring Operation: 109-34=75, Resulting Numbers: [60, 75] Generated Node #0,4,0: 69:[60, 75] Operation: 109-34=75 Moving to Node #0,4,0 Current State: 69:[60, 75], Operations: ['25+84=109', '109-34=75'] Exploring Operation: 75-60=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,4,0 Current State: 69:[60, 75], Operations: ['25+84=109', '109-34=75'] Exploring Operation: 60+75=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,4 Current State: 69:[34, 60, 109], Operations: ['25+84=109'] Exploring Operation: 109-60=49, Resulting Numbers: [34, 49] Generated Node #0,4,1: 69:[34, 49] Operation: 109-60=49 Moving to Node #0,4,1 Current State: 69:[34, 49], Operations: ['25+84=109', '109-60=49'] Exploring Operation: 34+49=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,4,1 Current State: 69:[34, 49], Operations: ['25+84=109', '109-60=49'] Exploring Operation: 49-34=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,4 Current State: 69:[34, 60, 109], Operations: ['25+84=109'] Exploring Operation: 34+60=94, Resulting Numbers: [109, 94] Generated Node #0,4,2: 69:[109, 94] Operation: 34+60=94 Moving to Node #0,4,2 Current State: 69:[109, 94], Operations: ['25+84=109', '34+60=94'] Exploring Operation: 109-94=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,4 Current State: 69:[34, 60, 109], Operations: ['25+84=109'] Exploring Operation: 60-34=26, Resulting Numbers: [109, 26] Generated Node #0,4,3: 69:[109, 26] Operation: 60-34=26 Moving to Node #0,4,3 Current State: 69:[109, 26], Operations: ['25+84=109', '60-34=26'] Exploring Operation: 109-26=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,4,3 Current State: 69:[109, 26], Operations: ['25+84=109', '60-34=26'] Exploring Operation: 109+26=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,4 Current State: 69:[34, 60, 109], Operations: ['25+84=109'] Exploring Operation: 34+109=143, Resulting Numbers: [60, 143] Generated Node #0,4,4: 69:[60, 143] Operation: 34+109=143 Moving to Node #0,4,4 Current State: 69:[60, 143], Operations: ['25+84=109', '34+109=143'] Exploring Operation: 143-60=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,4 Current State: 69:[34, 60, 109], Operations: ['25+84=109'] Exploring Operation: 60+109=169, Resulting Numbers: [34, 169] Generated Node #0,4,5: 69:[34, 169] Operation: 60+109=169 Moving to Node #0,4,5 Current State: 69:[34, 169], Operations: ['25+84=109', '60+109=169'] Exploring Operation: 169-34=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 34-25=9, Resulting Numbers: [84, 60, 9] Generated Node #0,5: 69:[84, 60, 9] Operation: 34-25=9 Moving to Node #0,5 Current State: 69:[84, 60, 9], Operations: ['34-25=9'] Exploring Operation: 84-9=75, Resulting Numbers: [60, 75] Generated Node #0,5,0: 69:[60, 75] Operation: 84-9=75 Moving to Node #0,5,0 Current State: 69:[60, 75], Operations: ['34-25=9', '84-9=75'] Exploring Operation: 75-60=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,5,0 Current State: 69:[60, 75], Operations: ['34-25=9', '84-9=75'] Exploring Operation: 60+75=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,5 Current State: 69:[84, 60, 9], Operations: ['34-25=9'] Exploring Operation: 60+9=69, Resulting Numbers: [84, 69] Generated Node #0,5,1: 69:[84, 69] Operation: 60+9=69 Moving to Node #0,5,1 Current State: 69:[84, 69], Operations: ['34-25=9', '60+9=69'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,5 Current State: 69:[84, 60, 9], Operations: ['34-25=9'] Exploring Operation: 84+9=93, Resulting Numbers: [60, 93] Generated Node #0,5,2: 69:[60, 93] Operation: 84+9=93 Moving to Node #0,5,2 Current State: 69:[60, 93], Operations: ['34-25=9', '84+9=93'] Exploring Operation: 93-60=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,5 Current State: 69:[84, 60, 9], Operations: ['34-25=9'] Exploring Operation: 60-9=51, Resulting Numbers: [84, 51] Generated Node #0,5,3: 69:[84, 51] Operation: 60-9=51 Moving to Node #0,5,3 Current State: 69:[84, 51], Operations: ['34-25=9', '60-9=51'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,5,3 Current State: 69:[84, 51], Operations: ['34-25=9', '60-9=51'] Exploring Operation: 84+51=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,5 Current State: 69:[84, 60, 9], Operations: ['34-25=9'] Exploring Operation: 84-60=24, Resulting Numbers: [9, 24] Generated Node #0,5,4: 69:[9, 24] Operation: 84-60=24 Moving to Node #0,5,4 Current State: 69:[9, 24], Operations: ['34-25=9', '84-60=24'] Exploring Operation: 9+24=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,5,4 Current State: 69:[9, 24], Operations: ['34-25=9', '84-60=24'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,5 Current State: 69:[84, 60, 9], Operations: ['34-25=9'] Exploring Operation: 84+60=144, Resulting Numbers: [9, 144] Generated Node #0,5,5: 69:[9, 144] Operation: 84+60=144 Moving to Node #0,5,5 Current State: 69:[9, 144], Operations: ['34-25=9', '84+60=144'] Exploring Operation: 144/9=16, Resulting Numbers: [16] 16,69 unequal: No Solution Moving to Node #0,5,5 Current State: 69:[9, 144], Operations: ['34-25=9', '84+60=144'] Exploring Operation: 144-9=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 60-25=35, Resulting Numbers: [84, 34, 35] Generated Node #0,6: 69:[84, 34, 35] Operation: 60-25=35 Moving to Node #0,6 Current State: 69:[84, 34, 35], Operations: ['60-25=35'] Exploring Operation: 34+35=69, Resulting Numbers: [84, 69] Generated Node #0,6,0: 69:[84, 69] Operation: 34+35=69 Moving to Node #0,6,0 Current State: 69:[84, 69], Operations: ['60-25=35', '34+35=69'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,6 Current State: 69:[84, 34, 35], Operations: ['60-25=35'] Exploring Operation: 84-34=50, Resulting Numbers: [35, 50] Generated Node #0,6,1: 69:[35, 50] Operation: 84-34=50 Moving to Node #0,6,1 Current State: 69:[35, 50], Operations: ['60-25=35', '84-34=50'] Exploring Operation: 35+50=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,6,1 Current State: 69:[35, 50], Operations: ['60-25=35', '84-34=50'] Exploring Operation: 50-35=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,6 Current State: 69:[84, 34, 35], Operations: ['60-25=35'] Exploring Operation: 84-35=49, Resulting Numbers: [34, 49] Generated Node #0,6,2: 69:[34, 49] Operation: 84-35=49 Moving to Node #0,6,2 Current State: 69:[34, 49], Operations: ['60-25=35', '84-35=49'] Exploring Operation: 34+49=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,6,2 Current State: 69:[34, 49], Operations: ['60-25=35', '84-35=49'] Exploring Operation: 49-34=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,6 Current State: 69:[84, 34, 35], Operations: ['60-25=35'] Exploring Operation: 84+34=118, Resulting Numbers: [35, 118] Generated Node #0,6,3: 69:[35, 118] Operation: 84+34=118 Moving to Node #0,6,3 Current State: 69:[35, 118], Operations: ['60-25=35', '84+34=118'] Exploring Operation: 118-35=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,6 Current State: 69:[84, 34, 35], Operations: ['60-25=35'] Exploring Operation: 35-34=1, Resulting Numbers: [84, 1] Generated Node #0,6,4: 69:[84, 1] Operation: 35-34=1 Moving to Node #0,6,4 Current State: 69:[84, 1], Operations: ['60-25=35', '35-34=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,6,4 Current State: 69:[84, 1], Operations: ['60-25=35', '35-34=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,69 unequal: No Solution Moving to Node #0,6,4 Current State: 69:[84, 1], Operations: ['60-25=35', '35-34=1'] Exploring Operation: 84/1=84, Resulting Numbers: [84] 84,69 unequal: No Solution Moving to Node #0,6,4 Current State: 69:[84, 1], Operations: ['60-25=35', '35-34=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,6 Current State: 69:[84, 34, 35], Operations: ['60-25=35'] Exploring Operation: 84+35=119, Resulting Numbers: [34, 119] Generated Node #0,6,5: 69:[34, 119] Operation: 84+35=119 Moving to Node #0,6,5 Current State: 69:[34, 119], Operations: ['60-25=35', '84+35=119'] Exploring Operation: 119-34=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 34+60=94, Resulting Numbers: [25, 84, 94] Generated Node #0,7: 69:[25, 84, 94] Operation: 34+60=94 Moving to Node #0,7 Current State: 69:[25, 84, 94], Operations: ['34+60=94'] Exploring Operation: 94-25=69, Resulting Numbers: [84, 69] Generated Node #0,7,0: 69:[84, 69] Operation: 94-25=69 Moving to Node #0,7,0 Current State: 69:[84, 69], Operations: ['34+60=94', '94-25=69'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,7 Current State: 69:[25, 84, 94], Operations: ['34+60=94'] Exploring Operation: 84-25=59, Resulting Numbers: [94, 59] Generated Node #0,7,1: 69:[94, 59] Operation: 84-25=59 Moving to Node #0,7,1 Current State: 69:[94, 59], Operations: ['34+60=94', '84-25=59'] Exploring Operation: 94-59=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,7 Current State: 69:[25, 84, 94], Operations: ['34+60=94'] Exploring Operation: 25+84=109, Resulting Numbers: [94, 109] Generated Node #0,7,2: 69:[94, 109] Operation: 25+84=109 Moving to Node #0,7,2 Current State: 69:[94, 109], Operations: ['34+60=94', '25+84=109'] Exploring Operation: 109-94=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,7 Current State: 69:[25, 84, 94], Operations: ['34+60=94'] Exploring Operation: 25+94=119, Resulting Numbers: [84, 119] Generated Node #0,7,3: 69:[84, 119] Operation: 25+94=119 Moving to Node #0,7,3 Current State: 69:[84, 119], Operations: ['34+60=94', '25+94=119'] Exploring Operation: 119-84=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,7 Current State: 69:[25, 84, 94], Operations: ['34+60=94'] Exploring Operation: 94-84=10, Resulting Numbers: [25, 10] Generated Node #0,7,4: 69:[25, 10] Operation: 94-84=10 Moving to Node #0,7,4 Current State: 69:[25, 10], Operations: ['34+60=94', '94-84=10'] Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,7,4 Current State: 69:[25, 10], Operations: ['34+60=94', '94-84=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 84+34=118, Resulting Numbers: [25, 60, 118] Generated Node #0,8: 69:[25, 60, 118] Operation: 84+34=118 Moving to Node #0,8 Current State: 69:[25, 60, 118], Operations: ['84+34=118'] Exploring Operation: 118-25=93, Resulting Numbers: [60, 93] Generated Node #0,8,0: 69:[60, 93] Operation: 118-25=93 Moving to Node #0,8,0 Current State: 69:[60, 93], Operations: ['84+34=118', '118-25=93'] Exploring Operation: 93-60=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,8 Current State: 69:[25, 60, 118], Operations: ['84+34=118'] Exploring Operation: 118-60=58, Resulting Numbers: [25, 58] Generated Node #0,8,1: 69:[25, 58] Operation: 118-60=58 Moving to Node #0,8,1 Current State: 69:[25, 58], Operations: ['84+34=118', '118-60=58'] Exploring Operation: 25+58=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,8,1 Current State: 69:[25, 58], Operations: ['84+34=118', '118-60=58'] Exploring Operation: 58-25=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,8 Current State: 69:[25, 60, 118], Operations: ['84+34=118'] Exploring Operation: 25+60=85, Resulting Numbers: [118, 85] Generated Node #0,8,2: 69:[118, 85] Operation: 25+60=85 Moving to Node #0,8,2 Current State: 69:[118, 85], Operations: ['84+34=118', '25+60=85'] Exploring Operation: 118-85=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,8 Current State: 69:[25, 60, 118], Operations: ['84+34=118'] Exploring Operation: 60-25=35, Resulting Numbers: [118, 35] Generated Node #0,8,3: 69:[118, 35] Operation: 60-25=35 Moving to Node #0,8,3 Current State: 69:[118, 35], Operations: ['84+34=118', '60-25=35'] Exploring Operation: 118-35=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,8 Current State: 69:[25, 60, 118], Operations: ['84+34=118'] Exploring Operation: 25+118=143, Resulting Numbers: [60, 143] Generated Node #0,8,4: 69:[60, 143] Operation: 25+118=143 Moving to Node #0,8,4 Current State: 69:[60, 143], Operations: ['84+34=118', '25+118=143'] Exploring Operation: 143-60=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 60-34=26, Resulting Numbers: [25, 84, 26] Generated Node #0,9: 69:[25, 84, 26] Operation: 60-34=26 Moving to Node #0,9 Current State: 69:[25, 84, 26], Operations: ['60-34=26'] Exploring Operation: 25+26=51, Resulting Numbers: [84, 51] Generated Node #0,9,0: 69:[84, 51] Operation: 25+26=51 Moving to Node #0,9,0 Current State: 69:[84, 51], Operations: ['60-34=26', '25+26=51'] Exploring Operation: 84-51=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,9,0 Current State: 69:[84, 51], Operations: ['60-34=26', '25+26=51'] Exploring Operation: 84+51=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,9 Current State: 69:[25, 84, 26], Operations: ['60-34=26'] Exploring Operation: 84-25=59, Resulting Numbers: [26, 59] Generated Node #0,9,1: 69:[26, 59] Operation: 84-25=59 Moving to Node #0,9,1 Current State: 69:[26, 59], Operations: ['60-34=26', '84-25=59'] Exploring Operation: 26+59=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,9,1 Current State: 69:[26, 59], Operations: ['60-34=26', '84-25=59'] Exploring Operation: 59-26=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,9 Current State: 69:[25, 84, 26], Operations: ['60-34=26'] Exploring Operation: 84-26=58, Resulting Numbers: [25, 58] Generated Node #0,9,2: 69:[25, 58] Operation: 84-26=58 Moving to Node #0,9,2 Current State: 69:[25, 58], Operations: ['60-34=26', '84-26=58'] Exploring Operation: 25+58=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,9,2 Current State: 69:[25, 58], Operations: ['60-34=26', '84-26=58'] Exploring Operation: 58-25=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,9 Current State: 69:[25, 84, 26], Operations: ['60-34=26'] Exploring Operation: 25+84=109, Resulting Numbers: [26, 109] Generated Node #0,9,3: 69:[26, 109] Operation: 25+84=109 Moving to Node #0,9,3 Current State: 69:[26, 109], Operations: ['60-34=26', '25+84=109'] Exploring Operation: 109-26=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,9,3 Current State: 69:[26, 109], Operations: ['60-34=26', '25+84=109'] Exploring Operation: 26+109=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,9 Current State: 69:[25, 84, 26], Operations: ['60-34=26'] Exploring Operation: 26-25=1, Resulting Numbers: [84, 1] Generated Node #0,9,4: 69:[84, 1] Operation: 26-25=1 Moving to Node #0,9,4 Current State: 69:[84, 1], Operations: ['60-34=26', '26-25=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,9,4 Current State: 69:[84, 1], Operations: ['60-34=26', '26-25=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,69 unequal: No Solution Moving to Node #0,9,4 Current State: 69:[84, 1], Operations: ['60-34=26', '26-25=1'] Exploring Operation: 84/1=84, Resulting Numbers: [84] 84,69 unequal: No Solution Moving to Node #0,9,4 Current State: 69:[84, 1], Operations: ['60-34=26', '26-25=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,9 Current State: 69:[25, 84, 26], Operations: ['60-34=26'] Exploring Operation: 84+26=110, Resulting Numbers: [25, 110] Generated Node #0,9,5: 69:[25, 110] Operation: 84+26=110 Moving to Node #0,9,5 Current State: 69:[25, 110], Operations: ['60-34=26', '84+26=110'] Exploring Operation: 110-25=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,9,5 Current State: 69:[25, 110], Operations: ['60-34=26', '84+26=110'] Exploring Operation: 25+110=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 84-60=24, Resulting Numbers: [25, 34, 24] Generated Node #0,10: 69:[25, 34, 24] Operation: 84-60=24 Moving to Node #0,10 Current State: 69:[25, 34, 24], Operations: ['84-60=24'] Exploring Operation: 25+34=59, Resulting Numbers: [24, 59] Generated Node #0,10,0: 69:[24, 59] Operation: 25+34=59 Moving to Node #0,10,0 Current State: 69:[24, 59], Operations: ['84-60=24', '25+34=59'] Exploring Operation: 24+59=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,10,0 Current State: 69:[24, 59], Operations: ['84-60=24', '25+34=59'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,10 Current State: 69:[25, 34, 24], Operations: ['84-60=24'] Exploring Operation: 25+24=49, Resulting Numbers: [34, 49] Generated Node #0,10,1: 69:[34, 49] Operation: 25+24=49 Moving to Node #0,10,1 Current State: 69:[34, 49], Operations: ['84-60=24', '25+24=49'] Exploring Operation: 34+49=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,10,1 Current State: 69:[34, 49], Operations: ['84-60=24', '25+24=49'] Exploring Operation: 49-34=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,10 Current State: 69:[25, 34, 24], Operations: ['84-60=24'] Exploring Operation: 34+24=58, Resulting Numbers: [25, 58] Generated Node #0,10,2: 69:[25, 58] Operation: 34+24=58 Moving to Node #0,10,2 Current State: 69:[25, 58], Operations: ['84-60=24', '34+24=58'] Exploring Operation: 25+58=83, Resulting Numbers: [83] 83,69 unequal: No Solution Moving to Node #0,10,2 Current State: 69:[25, 58], Operations: ['84-60=24', '34+24=58'] Exploring Operation: 58-25=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,10 Current State: 69:[25, 34, 24], Operations: ['84-60=24'] Exploring Operation: 25-24=1, Resulting Numbers: [34, 1] Generated Node #0,10,3: 69:[34, 1] Operation: 25-24=1 Moving to Node #0,10,3 Current State: 69:[34, 1], Operations: ['84-60=24', '25-24=1'] Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,10,3 Current State: 69:[34, 1], Operations: ['84-60=24', '25-24=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,69 unequal: No Solution Moving to Node #0,10,3 Current State: 69:[34, 1], Operations: ['84-60=24', '25-24=1'] Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,69 unequal: No Solution Moving to Node #0,10,3 Current State: 69:[34, 1], Operations: ['84-60=24', '25-24=1'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,10 Current State: 69:[25, 34, 24], Operations: ['84-60=24'] Exploring Operation: 34-24=10, Resulting Numbers: [25, 10] Generated Node #0,10,4: 69:[25, 10] Operation: 34-24=10 Moving to Node #0,10,4 Current State: 69:[25, 10], Operations: ['84-60=24', '34-24=10'] Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,69 unequal: No Solution Moving to Node #0,10,4 Current State: 69:[25, 10], Operations: ['84-60=24', '34-24=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0,10 Current State: 69:[25, 34, 24], Operations: ['84-60=24'] Exploring Operation: 34-25=9, Resulting Numbers: [24, 9] Generated Node #0,10,5: 69:[24, 9] Operation: 34-25=9 Moving to Node #0,10,5 Current State: 69:[24, 9], Operations: ['84-60=24', '34-25=9'] Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,69 unequal: No Solution Moving to Node #0,10,5 Current State: 69:[24, 9], Operations: ['84-60=24', '34-25=9'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,69 unequal: No Solution Moving to Node #0 Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 84+60=144, Resulting Numbers: [25, 34, 144] Generated Node #0,11: 69:[25, 34, 144] Operation: 84+60=144 Moving to Node #0,11 Current State: 69:[25, 34, 144], Operations: ['84+60=144'] Exploring Operation: 25+34=59, Resulting Numbers: [144, 59] Generated Node #0,11,0: 69:[144, 59] Operation: 25+34=59 Moving to Node #0,11,0 Current State: 69:[144, 59], Operations: ['84+60=144', '25+34=59'] Exploring Operation: 144-59=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,11 Current State: 69:[25, 34, 144], Operations: ['84+60=144'] Exploring Operation: 144-25=119, Resulting Numbers: [34, 119] Generated Node #0,11,1: 69:[34, 119] Operation: 144-25=119 Moving to Node #0,11,1 Current State: 69:[34, 119], Operations: ['84+60=144', '144-25=119'] Exploring Operation: 119-34=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,11 Current State: 69:[25, 34, 144], Operations: ['84+60=144'] Exploring Operation: 144-34=110, Resulting Numbers: [25, 110] Generated Node #0,11,2: 69:[25, 110] Operation: 144-34=110 Moving to Node #0,11,2 Current State: 69:[25, 110], Operations: ['84+60=144', '144-34=110'] Exploring Operation: 110-25=85, Resulting Numbers: [85] 85,69 unequal: No Solution Moving to Node #0,11,2 Current State: 69:[25, 110], Operations: ['84+60=144', '144-34=110'] Exploring Operation: 25+110=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,11 Current State: 69:[25, 34, 144], Operations: ['84+60=144'] Exploring Operation: 34-25=9, Resulting Numbers: [144, 9] Generated Node #0,11,3: 69:[144, 9] Operation: 34-25=9 Moving to Node #0,11,3 Current State: 69:[144, 9], Operations: ['84+60=144', '34-25=9'] Exploring Operation: 144/9=16, Resulting Numbers: [16] 16,69 unequal: No Solution Moving to Node #0,11,3 Current State: 69:[144, 9], Operations: ['84+60=144', '34-25=9'] Exploring Operation: 144-9=135, Resulting Numbers: [135] 135,69 unequal: No Solution Moving to Node #0,11 Current State: 69:[25, 34, 144], Operations: ['84+60=144'] Exploring Operation: 25+144=169, Resulting Numbers: [34, 169] Generated Node #0,11,4: 69:[34, 169] Operation: 25+144=169 Moving to Node #0,11,4 Current State: 69:[34, 169], Operations: ['84+60=144', '25+144=169'] Exploring Operation: 169-34=135, Resulting Numbers: [135] 135,69 unequal: No Solution
0
dfs
Current State: 69:[25, 84, 34, 60], Operations: [] Exploring Operation: 25*84=2100, Resulting Numbers: [34, 60, 2100] Generated Node #2: [34, 60, 2100] from Operation: 25*84=2100 Current State: 69:[34, 60, 2100], Operations: ['25*84=2100'] Exploring Operation: 2100/60=35, Resulting Numbers: [34, 35] Generated Node #3: [34, 35] from Operation: 2100/60=35 Current State: 69:[34, 35], Operations: ['25*84=2100', '2100/60=35'] Exploring Operation: 34+35=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
sum_heuristic
[ { "content": "Make 69 with the numbers [25, 84, 34, 60] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 25+34=59, Resulting Numbers: [84, 60, 59]\nGenerated Node #0,0: 69:[84, 60, 59] Operation: 25+34=59\nMoving to Node #0,0\nCurrent State: 69:[84, 60, 59], Operations: ['25+34=59']\nExploring Operation: 84-59=25, Resulting Numbers: [60, 25]\nGenerated Node #0,0,0: 69:[60, 25] Operation: 84-59=25\nMoving to Node #0,0,0\nCurrent State: 69:[60, 25], Operations: ['25+34=59', '84-59=25']\nExploring Operation: 60+25=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 69:[60, 25], Operations: ['25+34=59', '84-59=25']\nExploring Operation: 60-25=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[84, 60, 59], Operations: ['25+34=59']\nExploring Operation: 84-60=24, Resulting Numbers: [59, 24]\nGenerated Node #0,0,1: 69:[59, 24] Operation: 84-60=24\nMoving to Node #0,0,1\nCurrent State: 69:[59, 24], Operations: ['25+34=59', '84-60=24']\nExploring Operation: 59+24=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 69:[59, 24], Operations: ['25+34=59', '84-60=24']\nExploring Operation: 59-24=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[84, 60, 59], Operations: ['25+34=59']\nExploring Operation: 60+59=119, Resulting Numbers: [84, 119]\nGenerated Node #0,0,2: 69:[84, 119] Operation: 60+59=119\nMoving to Node #0,0,2\nCurrent State: 69:[84, 119], Operations: ['25+34=59', '60+59=119']\nExploring Operation: 119-84=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[84, 60, 59], Operations: ['25+34=59']\nExploring Operation: 84+59=143, Resulting Numbers: [60, 143]\nGenerated Node #0,0,3: 69:[60, 143] Operation: 84+59=143\nMoving to Node #0,0,3\nCurrent State: 69:[60, 143], Operations: ['25+34=59', '84+59=143']\nExploring Operation: 143-60=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[84, 60, 59], Operations: ['25+34=59']\nExploring Operation: 60-59=1, Resulting Numbers: [84, 1]\nGenerated Node #0,0,4: 69:[84, 1] Operation: 60-59=1\nMoving to Node #0,0,4\nCurrent State: 69:[84, 1], Operations: ['25+34=59', '60-59=1']\nExploring Operation: 84-1=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 69:[84, 1], Operations: ['25+34=59', '60-59=1']\nExploring Operation: 84*1=84, Resulting Numbers: [84]\n84,69 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 69:[84, 1], Operations: ['25+34=59', '60-59=1']\nExploring Operation: 84/1=84, Resulting Numbers: [84]\n84,69 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 69:[84, 1], Operations: ['25+34=59', '60-59=1']\nExploring Operation: 84+1=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[84, 60, 59], Operations: ['25+34=59']\nExploring Operation: 84+60=144, Resulting Numbers: [59, 144]\nGenerated Node #0,0,5: 69:[59, 144] Operation: 84+60=144\nMoving to Node #0,0,5\nCurrent State: 69:[59, 144], Operations: ['25+34=59', '84+60=144']\nExploring Operation: 144-59=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 84-25=59, Resulting Numbers: [34, 60, 59]\nGenerated Node #0,1: 69:[34, 60, 59] Operation: 84-25=59\nMoving to Node #0,1\nCurrent State: 69:[34, 60, 59], Operations: ['84-25=59']\nExploring Operation: 34+59=93, Resulting Numbers: [60, 93]\nGenerated Node #0,1,0: 69:[60, 93] Operation: 34+59=93\nMoving to Node #0,1,0\nCurrent State: 69:[60, 93], Operations: ['84-25=59', '34+59=93']\nExploring Operation: 93-60=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[34, 60, 59], Operations: ['84-25=59']\nExploring Operation: 34+60=94, Resulting Numbers: [59, 94]\nGenerated Node #0,1,1: 69:[59, 94] Operation: 34+60=94\nMoving to Node #0,1,1\nCurrent State: 69:[59, 94], Operations: ['84-25=59', '34+60=94']\nExploring Operation: 94-59=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[34, 60, 59], Operations: ['84-25=59']\nExploring Operation: 60-34=26, Resulting Numbers: [59, 26]\nGenerated Node #0,1,2: 69:[59, 26] Operation: 60-34=26\nMoving to Node #0,1,2\nCurrent State: 69:[59, 26], Operations: ['84-25=59', '60-34=26']\nExploring Operation: 59+26=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 69:[59, 26], Operations: ['84-25=59', '60-34=26']\nExploring Operation: 59-26=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[34, 60, 59], Operations: ['84-25=59']\nExploring Operation: 59-34=25, Resulting Numbers: [60, 25]\nGenerated Node #0,1,3: 69:[60, 25] Operation: 59-34=25\nMoving to Node #0,1,3\nCurrent State: 69:[60, 25], Operations: ['84-25=59', '59-34=25']\nExploring Operation: 60+25=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 69:[60, 25], Operations: ['84-25=59', '59-34=25']\nExploring Operation: 60-25=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[34, 60, 59], Operations: ['84-25=59']\nExploring Operation: 60+59=119, Resulting Numbers: [34, 119]\nGenerated Node #0,1,4: 69:[34, 119] Operation: 60+59=119\nMoving to Node #0,1,4\nCurrent State: 69:[34, 119], Operations: ['84-25=59', '60+59=119']\nExploring Operation: 119-34=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[34, 60, 59], Operations: ['84-25=59']\nExploring Operation: 60-59=1, Resulting Numbers: [34, 1]\nGenerated Node #0,1,5: 69:[34, 1] Operation: 60-59=1\nMoving to Node #0,1,5\nCurrent State: 69:[34, 1], Operations: ['84-25=59', '60-59=1']\nExploring Operation: 34+1=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 69:[34, 1], Operations: ['84-25=59', '60-59=1']\nExploring Operation: 34*1=34, Resulting Numbers: [34]\n34,69 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 69:[34, 1], Operations: ['84-25=59', '60-59=1']\nExploring Operation: 34/1=34, Resulting Numbers: [34]\n34,69 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 69:[34, 1], Operations: ['84-25=59', '60-59=1']\nExploring Operation: 34-1=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 25+60=85, Resulting Numbers: [84, 34, 85]\nGenerated Node #0,2: 69:[84, 34, 85] Operation: 25+60=85\nMoving to Node #0,2\nCurrent State: 69:[84, 34, 85], Operations: ['25+60=85']\nExploring Operation: 85-34=51, Resulting Numbers: [84, 51]\nGenerated Node #0,2,0: 69:[84, 51] Operation: 85-34=51\nMoving to Node #0,2,0\nCurrent State: 69:[84, 51], Operations: ['25+60=85', '85-34=51']\nExploring Operation: 84-51=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 69:[84, 51], Operations: ['25+60=85', '85-34=51']\nExploring Operation: 84+51=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 69:[84, 34, 85], Operations: ['25+60=85']\nExploring Operation: 84-34=50, Resulting Numbers: [85, 50]\nGenerated Node #0,2,1: 69:[85, 50] Operation: 84-34=50\nMoving to Node #0,2,1\nCurrent State: 69:[85, 50], Operations: ['25+60=85', '84-34=50']\nExploring Operation: 85-50=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 69:[85, 50], Operations: ['25+60=85', '84-34=50']\nExploring Operation: 85+50=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 69:[84, 34, 85], Operations: ['25+60=85']\nExploring Operation: 84+34=118, Resulting Numbers: [85, 118]\nGenerated Node #0,2,2: 69:[85, 118] Operation: 84+34=118\nMoving to Node #0,2,2\nCurrent State: 69:[85, 118], Operations: ['25+60=85', '84+34=118']\nExploring Operation: 118-85=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 69:[84, 34, 85], Operations: ['25+60=85']\nExploring Operation: 34+85=119, Resulting Numbers: [84, 119]\nGenerated Node #0,2,3: 69:[84, 119] Operation: 34+85=119\nMoving to Node #0,2,3\nCurrent State: 69:[84, 119], Operations: ['25+60=85', '34+85=119']\nExploring Operation: 119-84=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 69:[84, 34, 85], Operations: ['25+60=85']\nExploring Operation: 85-84=1, Resulting Numbers: [34, 1]\nGenerated Node #0,2,4: 69:[34, 1] Operation: 85-84=1\nMoving to Node #0,2,4\nCurrent State: 69:[34, 1], Operations: ['25+60=85', '85-84=1']\nExploring Operation: 34+1=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 69:[34, 1], Operations: ['25+60=85', '85-84=1']\nExploring Operation: 34*1=34, Resulting Numbers: [34]\n34,69 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 69:[34, 1], Operations: ['25+60=85', '85-84=1']\nExploring Operation: 34/1=34, Resulting Numbers: [34]\n34,69 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 69:[34, 1], Operations: ['25+60=85', '85-84=1']\nExploring Operation: 34-1=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 69:[84, 34, 85], Operations: ['25+60=85']\nExploring Operation: 84+85=169, Resulting Numbers: [34, 169]\nGenerated Node #0,2,5: 69:[34, 169] Operation: 84+85=169\nMoving to Node #0,2,5\nCurrent State: 69:[34, 169], Operations: ['25+60=85', '84+85=169']\nExploring Operation: 169-34=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 84-34=50, Resulting Numbers: [25, 60, 50]\nGenerated Node #0,3: 69:[25, 60, 50] Operation: 84-34=50\nMoving to Node #0,3\nCurrent State: 69:[25, 60, 50], Operations: ['84-34=50']\nExploring Operation: 25+50=75, Resulting Numbers: [60, 75]\nGenerated Node #0,3,0: 69:[60, 75] Operation: 25+50=75\nMoving to Node #0,3,0\nCurrent State: 69:[60, 75], Operations: ['84-34=50', '25+50=75']\nExploring Operation: 75-60=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 69:[60, 75], Operations: ['84-34=50', '25+50=75']\nExploring Operation: 60+75=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 69:[25, 60, 50], Operations: ['84-34=50']\nExploring Operation: 25+60=85, Resulting Numbers: [50, 85]\nGenerated Node #0,3,1: 69:[50, 85] Operation: 25+60=85\nMoving to Node #0,3,1\nCurrent State: 69:[50, 85], Operations: ['84-34=50', '25+60=85']\nExploring Operation: 85-50=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 69:[50, 85], Operations: ['84-34=50', '25+60=85']\nExploring Operation: 50+85=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 69:[25, 60, 50], Operations: ['84-34=50']\nExploring Operation: 60-25=35, Resulting Numbers: [50, 35]\nGenerated Node #0,3,2: 69:[50, 35] Operation: 60-25=35\nMoving to Node #0,3,2\nCurrent State: 69:[50, 35], Operations: ['84-34=50', '60-25=35']\nExploring Operation: 50+35=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 69:[50, 35], Operations: ['84-34=50', '60-25=35']\nExploring Operation: 50-35=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 69:[25, 60, 50], Operations: ['84-34=50']\nExploring Operation: 50-25=25, Resulting Numbers: [60, 25]\nGenerated Node #0,3,3: 69:[60, 25] Operation: 50-25=25\nMoving to Node #0,3,3\nCurrent State: 69:[60, 25], Operations: ['84-34=50', '50-25=25']\nExploring Operation: 60+25=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 69:[60, 25], Operations: ['84-34=50', '50-25=25']\nExploring Operation: 60-25=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 69:[25, 60, 50], Operations: ['84-34=50']\nExploring Operation: 50/25=2, Resulting Numbers: [60, 2]\nGenerated Node #0,3,4: 69:[60, 2] Operation: 50/25=2\nMoving to Node #0,3,4\nCurrent State: 69:[60, 2], Operations: ['84-34=50', '50/25=2']\nExploring Operation: 60+2=62, Resulting Numbers: [62]\n62,69 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 69:[60, 2], Operations: ['84-34=50', '50/25=2']\nExploring Operation: 60-2=58, Resulting Numbers: [58]\n58,69 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 69:[60, 2], Operations: ['84-34=50', '50/25=2']\nExploring Operation: 60/2=30, Resulting Numbers: [30]\n30,69 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 69:[60, 2], Operations: ['84-34=50', '50/25=2']\nExploring Operation: 60*2=120, Resulting Numbers: [120]\n120,69 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 69:[25, 60, 50], Operations: ['84-34=50']\nExploring Operation: 60+50=110, Resulting Numbers: [25, 110]\nGenerated Node #0,3,5: 69:[25, 110] Operation: 60+50=110\nMoving to Node #0,3,5\nCurrent State: 69:[25, 110], Operations: ['84-34=50', '60+50=110']\nExploring Operation: 110-25=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 69:[25, 110], Operations: ['84-34=50', '60+50=110']\nExploring Operation: 25+110=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 69:[25, 60, 50], Operations: ['84-34=50']\nExploring Operation: 60-50=10, Resulting Numbers: [25, 10]\nGenerated Node #0,3,6: 69:[25, 10] Operation: 60-50=10\nMoving to Node #0,3,6\nCurrent State: 69:[25, 10], Operations: ['84-34=50', '60-50=10']\nExploring Operation: 25+10=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,3,6\nCurrent State: 69:[25, 10], Operations: ['84-34=50', '60-50=10']\nExploring Operation: 25-10=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 25+84=109, Resulting Numbers: [34, 60, 109]\nGenerated Node #0,4: 69:[34, 60, 109] Operation: 25+84=109\nMoving to Node #0,4\nCurrent State: 69:[34, 60, 109], Operations: ['25+84=109']\nExploring Operation: 109-34=75, Resulting Numbers: [60, 75]\nGenerated Node #0,4,0: 69:[60, 75] Operation: 109-34=75\nMoving to Node #0,4,0\nCurrent State: 69:[60, 75], Operations: ['25+84=109', '109-34=75']\nExploring Operation: 75-60=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 69:[60, 75], Operations: ['25+84=109', '109-34=75']\nExploring Operation: 60+75=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 69:[34, 60, 109], Operations: ['25+84=109']\nExploring Operation: 109-60=49, Resulting Numbers: [34, 49]\nGenerated Node #0,4,1: 69:[34, 49] Operation: 109-60=49\nMoving to Node #0,4,1\nCurrent State: 69:[34, 49], Operations: ['25+84=109', '109-60=49']\nExploring Operation: 34+49=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 69:[34, 49], Operations: ['25+84=109', '109-60=49']\nExploring Operation: 49-34=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 69:[34, 60, 109], Operations: ['25+84=109']\nExploring Operation: 34+60=94, Resulting Numbers: [109, 94]\nGenerated Node #0,4,2: 69:[109, 94] Operation: 34+60=94\nMoving to Node #0,4,2\nCurrent State: 69:[109, 94], Operations: ['25+84=109', '34+60=94']\nExploring Operation: 109-94=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 69:[34, 60, 109], Operations: ['25+84=109']\nExploring Operation: 60-34=26, Resulting Numbers: [109, 26]\nGenerated Node #0,4,3: 69:[109, 26] Operation: 60-34=26\nMoving to Node #0,4,3\nCurrent State: 69:[109, 26], Operations: ['25+84=109', '60-34=26']\nExploring Operation: 109-26=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 69:[109, 26], Operations: ['25+84=109', '60-34=26']\nExploring Operation: 109+26=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 69:[34, 60, 109], Operations: ['25+84=109']\nExploring Operation: 34+109=143, Resulting Numbers: [60, 143]\nGenerated Node #0,4,4: 69:[60, 143] Operation: 34+109=143\nMoving to Node #0,4,4\nCurrent State: 69:[60, 143], Operations: ['25+84=109', '34+109=143']\nExploring Operation: 143-60=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 69:[34, 60, 109], Operations: ['25+84=109']\nExploring Operation: 60+109=169, Resulting Numbers: [34, 169]\nGenerated Node #0,4,5: 69:[34, 169] Operation: 60+109=169\nMoving to Node #0,4,5\nCurrent State: 69:[34, 169], Operations: ['25+84=109', '60+109=169']\nExploring Operation: 169-34=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 34-25=9, Resulting Numbers: [84, 60, 9]\nGenerated Node #0,5: 69:[84, 60, 9] Operation: 34-25=9\nMoving to Node #0,5\nCurrent State: 69:[84, 60, 9], Operations: ['34-25=9']\nExploring Operation: 84-9=75, Resulting Numbers: [60, 75]\nGenerated Node #0,5,0: 69:[60, 75] Operation: 84-9=75\nMoving to Node #0,5,0\nCurrent State: 69:[60, 75], Operations: ['34-25=9', '84-9=75']\nExploring Operation: 75-60=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 69:[60, 75], Operations: ['34-25=9', '84-9=75']\nExploring Operation: 60+75=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 69:[84, 60, 9], Operations: ['34-25=9']\nExploring Operation: 60+9=69, Resulting Numbers: [84, 69]\nGenerated Node #0,5,1: 69:[84, 69] Operation: 60+9=69\nMoving to Node #0,5,1\nCurrent State: 69:[84, 69], Operations: ['34-25=9', '60+9=69']\nExploring Operation: 84-69=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 69:[84, 60, 9], Operations: ['34-25=9']\nExploring Operation: 84+9=93, Resulting Numbers: [60, 93]\nGenerated Node #0,5,2: 69:[60, 93] Operation: 84+9=93\nMoving to Node #0,5,2\nCurrent State: 69:[60, 93], Operations: ['34-25=9', '84+9=93']\nExploring Operation: 93-60=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 69:[84, 60, 9], Operations: ['34-25=9']\nExploring Operation: 60-9=51, Resulting Numbers: [84, 51]\nGenerated Node #0,5,3: 69:[84, 51] Operation: 60-9=51\nMoving to Node #0,5,3\nCurrent State: 69:[84, 51], Operations: ['34-25=9', '60-9=51']\nExploring Operation: 84-51=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 69:[84, 51], Operations: ['34-25=9', '60-9=51']\nExploring Operation: 84+51=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 69:[84, 60, 9], Operations: ['34-25=9']\nExploring Operation: 84-60=24, Resulting Numbers: [9, 24]\nGenerated Node #0,5,4: 69:[9, 24] Operation: 84-60=24\nMoving to Node #0,5,4\nCurrent State: 69:[9, 24], Operations: ['34-25=9', '84-60=24']\nExploring Operation: 9+24=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 69:[9, 24], Operations: ['34-25=9', '84-60=24']\nExploring Operation: 24-9=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 69:[84, 60, 9], Operations: ['34-25=9']\nExploring Operation: 84+60=144, Resulting Numbers: [9, 144]\nGenerated Node #0,5,5: 69:[9, 144] Operation: 84+60=144\nMoving to Node #0,5,5\nCurrent State: 69:[9, 144], Operations: ['34-25=9', '84+60=144']\nExploring Operation: 144/9=16, Resulting Numbers: [16]\n16,69 unequal: No Solution\nMoving to Node #0,5,5\nCurrent State: 69:[9, 144], Operations: ['34-25=9', '84+60=144']\nExploring Operation: 144-9=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 60-25=35, Resulting Numbers: [84, 34, 35]\nGenerated Node #0,6: 69:[84, 34, 35] Operation: 60-25=35\nMoving to Node #0,6\nCurrent State: 69:[84, 34, 35], Operations: ['60-25=35']\nExploring Operation: 34+35=69, Resulting Numbers: [84, 69]\nGenerated Node #0,6,0: 69:[84, 69] Operation: 34+35=69\nMoving to Node #0,6,0\nCurrent State: 69:[84, 69], Operations: ['60-25=35', '34+35=69']\nExploring Operation: 84-69=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 69:[84, 34, 35], Operations: ['60-25=35']\nExploring Operation: 84-34=50, Resulting Numbers: [35, 50]\nGenerated Node #0,6,1: 69:[35, 50] Operation: 84-34=50\nMoving to Node #0,6,1\nCurrent State: 69:[35, 50], Operations: ['60-25=35', '84-34=50']\nExploring Operation: 35+50=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 69:[35, 50], Operations: ['60-25=35', '84-34=50']\nExploring Operation: 50-35=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 69:[84, 34, 35], Operations: ['60-25=35']\nExploring Operation: 84-35=49, Resulting Numbers: [34, 49]\nGenerated Node #0,6,2: 69:[34, 49] Operation: 84-35=49\nMoving to Node #0,6,2\nCurrent State: 69:[34, 49], Operations: ['60-25=35', '84-35=49']\nExploring Operation: 34+49=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 69:[34, 49], Operations: ['60-25=35', '84-35=49']\nExploring Operation: 49-34=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 69:[84, 34, 35], Operations: ['60-25=35']\nExploring Operation: 84+34=118, Resulting Numbers: [35, 118]\nGenerated Node #0,6,3: 69:[35, 118] Operation: 84+34=118\nMoving to Node #0,6,3\nCurrent State: 69:[35, 118], Operations: ['60-25=35', '84+34=118']\nExploring Operation: 118-35=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 69:[84, 34, 35], Operations: ['60-25=35']\nExploring Operation: 35-34=1, Resulting Numbers: [84, 1]\nGenerated Node #0,6,4: 69:[84, 1] Operation: 35-34=1\nMoving to Node #0,6,4\nCurrent State: 69:[84, 1], Operations: ['60-25=35', '35-34=1']\nExploring Operation: 84-1=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 69:[84, 1], Operations: ['60-25=35', '35-34=1']\nExploring Operation: 84*1=84, Resulting Numbers: [84]\n84,69 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 69:[84, 1], Operations: ['60-25=35', '35-34=1']\nExploring Operation: 84/1=84, Resulting Numbers: [84]\n84,69 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 69:[84, 1], Operations: ['60-25=35', '35-34=1']\nExploring Operation: 84+1=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 69:[84, 34, 35], Operations: ['60-25=35']\nExploring Operation: 84+35=119, Resulting Numbers: [34, 119]\nGenerated Node #0,6,5: 69:[34, 119] Operation: 84+35=119\nMoving to Node #0,6,5\nCurrent State: 69:[34, 119], Operations: ['60-25=35', '84+35=119']\nExploring Operation: 119-34=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 34+60=94, Resulting Numbers: [25, 84, 94]\nGenerated Node #0,7: 69:[25, 84, 94] Operation: 34+60=94\nMoving to Node #0,7\nCurrent State: 69:[25, 84, 94], Operations: ['34+60=94']\nExploring Operation: 94-25=69, Resulting Numbers: [84, 69]\nGenerated Node #0,7,0: 69:[84, 69] Operation: 94-25=69\nMoving to Node #0,7,0\nCurrent State: 69:[84, 69], Operations: ['34+60=94', '94-25=69']\nExploring Operation: 84-69=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 69:[25, 84, 94], Operations: ['34+60=94']\nExploring Operation: 84-25=59, Resulting Numbers: [94, 59]\nGenerated Node #0,7,1: 69:[94, 59] Operation: 84-25=59\nMoving to Node #0,7,1\nCurrent State: 69:[94, 59], Operations: ['34+60=94', '84-25=59']\nExploring Operation: 94-59=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 69:[25, 84, 94], Operations: ['34+60=94']\nExploring Operation: 25+84=109, Resulting Numbers: [94, 109]\nGenerated Node #0,7,2: 69:[94, 109] Operation: 25+84=109\nMoving to Node #0,7,2\nCurrent State: 69:[94, 109], Operations: ['34+60=94', '25+84=109']\nExploring Operation: 109-94=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 69:[25, 84, 94], Operations: ['34+60=94']\nExploring Operation: 25+94=119, Resulting Numbers: [84, 119]\nGenerated Node #0,7,3: 69:[84, 119] Operation: 25+94=119\nMoving to Node #0,7,3\nCurrent State: 69:[84, 119], Operations: ['34+60=94', '25+94=119']\nExploring Operation: 119-84=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 69:[25, 84, 94], Operations: ['34+60=94']\nExploring Operation: 94-84=10, Resulting Numbers: [25, 10]\nGenerated Node #0,7,4: 69:[25, 10] Operation: 94-84=10\nMoving to Node #0,7,4\nCurrent State: 69:[25, 10], Operations: ['34+60=94', '94-84=10']\nExploring Operation: 25+10=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 69:[25, 10], Operations: ['34+60=94', '94-84=10']\nExploring Operation: 25-10=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 84+34=118, Resulting Numbers: [25, 60, 118]\nGenerated Node #0,8: 69:[25, 60, 118] Operation: 84+34=118\nMoving to Node #0,8\nCurrent State: 69:[25, 60, 118], Operations: ['84+34=118']\nExploring Operation: 118-25=93, Resulting Numbers: [60, 93]\nGenerated Node #0,8,0: 69:[60, 93] Operation: 118-25=93\nMoving to Node #0,8,0\nCurrent State: 69:[60, 93], Operations: ['84+34=118', '118-25=93']\nExploring Operation: 93-60=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 69:[25, 60, 118], Operations: ['84+34=118']\nExploring Operation: 118-60=58, Resulting Numbers: [25, 58]\nGenerated Node #0,8,1: 69:[25, 58] Operation: 118-60=58\nMoving to Node #0,8,1\nCurrent State: 69:[25, 58], Operations: ['84+34=118', '118-60=58']\nExploring Operation: 25+58=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 69:[25, 58], Operations: ['84+34=118', '118-60=58']\nExploring Operation: 58-25=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 69:[25, 60, 118], Operations: ['84+34=118']\nExploring Operation: 25+60=85, Resulting Numbers: [118, 85]\nGenerated Node #0,8,2: 69:[118, 85] Operation: 25+60=85\nMoving to Node #0,8,2\nCurrent State: 69:[118, 85], Operations: ['84+34=118', '25+60=85']\nExploring Operation: 118-85=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 69:[25, 60, 118], Operations: ['84+34=118']\nExploring Operation: 60-25=35, Resulting Numbers: [118, 35]\nGenerated Node #0,8,3: 69:[118, 35] Operation: 60-25=35\nMoving to Node #0,8,3\nCurrent State: 69:[118, 35], Operations: ['84+34=118', '60-25=35']\nExploring Operation: 118-35=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 69:[25, 60, 118], Operations: ['84+34=118']\nExploring Operation: 25+118=143, Resulting Numbers: [60, 143]\nGenerated Node #0,8,4: 69:[60, 143] Operation: 25+118=143\nMoving to Node #0,8,4\nCurrent State: 69:[60, 143], Operations: ['84+34=118', '25+118=143']\nExploring Operation: 143-60=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 60-34=26, Resulting Numbers: [25, 84, 26]\nGenerated Node #0,9: 69:[25, 84, 26] Operation: 60-34=26\nMoving to Node #0,9\nCurrent State: 69:[25, 84, 26], Operations: ['60-34=26']\nExploring Operation: 25+26=51, Resulting Numbers: [84, 51]\nGenerated Node #0,9,0: 69:[84, 51] Operation: 25+26=51\nMoving to Node #0,9,0\nCurrent State: 69:[84, 51], Operations: ['60-34=26', '25+26=51']\nExploring Operation: 84-51=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 69:[84, 51], Operations: ['60-34=26', '25+26=51']\nExploring Operation: 84+51=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 69:[25, 84, 26], Operations: ['60-34=26']\nExploring Operation: 84-25=59, Resulting Numbers: [26, 59]\nGenerated Node #0,9,1: 69:[26, 59] Operation: 84-25=59\nMoving to Node #0,9,1\nCurrent State: 69:[26, 59], Operations: ['60-34=26', '84-25=59']\nExploring Operation: 26+59=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 69:[26, 59], Operations: ['60-34=26', '84-25=59']\nExploring Operation: 59-26=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 69:[25, 84, 26], Operations: ['60-34=26']\nExploring Operation: 84-26=58, Resulting Numbers: [25, 58]\nGenerated Node #0,9,2: 69:[25, 58] Operation: 84-26=58\nMoving to Node #0,9,2\nCurrent State: 69:[25, 58], Operations: ['60-34=26', '84-26=58']\nExploring Operation: 25+58=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,9,2\nCurrent State: 69:[25, 58], Operations: ['60-34=26', '84-26=58']\nExploring Operation: 58-25=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 69:[25, 84, 26], Operations: ['60-34=26']\nExploring Operation: 25+84=109, Resulting Numbers: [26, 109]\nGenerated Node #0,9,3: 69:[26, 109] Operation: 25+84=109\nMoving to Node #0,9,3\nCurrent State: 69:[26, 109], Operations: ['60-34=26', '25+84=109']\nExploring Operation: 109-26=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 69:[26, 109], Operations: ['60-34=26', '25+84=109']\nExploring Operation: 26+109=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 69:[25, 84, 26], Operations: ['60-34=26']\nExploring Operation: 26-25=1, Resulting Numbers: [84, 1]\nGenerated Node #0,9,4: 69:[84, 1] Operation: 26-25=1\nMoving to Node #0,9,4\nCurrent State: 69:[84, 1], Operations: ['60-34=26', '26-25=1']\nExploring Operation: 84-1=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 69:[84, 1], Operations: ['60-34=26', '26-25=1']\nExploring Operation: 84*1=84, Resulting Numbers: [84]\n84,69 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 69:[84, 1], Operations: ['60-34=26', '26-25=1']\nExploring Operation: 84/1=84, Resulting Numbers: [84]\n84,69 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 69:[84, 1], Operations: ['60-34=26', '26-25=1']\nExploring Operation: 84+1=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 69:[25, 84, 26], Operations: ['60-34=26']\nExploring Operation: 84+26=110, Resulting Numbers: [25, 110]\nGenerated Node #0,9,5: 69:[25, 110] Operation: 84+26=110\nMoving to Node #0,9,5\nCurrent State: 69:[25, 110], Operations: ['60-34=26', '84+26=110']\nExploring Operation: 110-25=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,9,5\nCurrent State: 69:[25, 110], Operations: ['60-34=26', '84+26=110']\nExploring Operation: 25+110=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 84-60=24, Resulting Numbers: [25, 34, 24]\nGenerated Node #0,10: 69:[25, 34, 24] Operation: 84-60=24\nMoving to Node #0,10\nCurrent State: 69:[25, 34, 24], Operations: ['84-60=24']\nExploring Operation: 25+34=59, Resulting Numbers: [24, 59]\nGenerated Node #0,10,0: 69:[24, 59] Operation: 25+34=59\nMoving to Node #0,10,0\nCurrent State: 69:[24, 59], Operations: ['84-60=24', '25+34=59']\nExploring Operation: 24+59=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 69:[24, 59], Operations: ['84-60=24', '25+34=59']\nExploring Operation: 59-24=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 69:[25, 34, 24], Operations: ['84-60=24']\nExploring Operation: 25+24=49, Resulting Numbers: [34, 49]\nGenerated Node #0,10,1: 69:[34, 49] Operation: 25+24=49\nMoving to Node #0,10,1\nCurrent State: 69:[34, 49], Operations: ['84-60=24', '25+24=49']\nExploring Operation: 34+49=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,10,1\nCurrent State: 69:[34, 49], Operations: ['84-60=24', '25+24=49']\nExploring Operation: 49-34=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 69:[25, 34, 24], Operations: ['84-60=24']\nExploring Operation: 34+24=58, Resulting Numbers: [25, 58]\nGenerated Node #0,10,2: 69:[25, 58] Operation: 34+24=58\nMoving to Node #0,10,2\nCurrent State: 69:[25, 58], Operations: ['84-60=24', '34+24=58']\nExploring Operation: 25+58=83, Resulting Numbers: [83]\n83,69 unequal: No Solution\nMoving to Node #0,10,2\nCurrent State: 69:[25, 58], Operations: ['84-60=24', '34+24=58']\nExploring Operation: 58-25=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 69:[25, 34, 24], Operations: ['84-60=24']\nExploring Operation: 25-24=1, Resulting Numbers: [34, 1]\nGenerated Node #0,10,3: 69:[34, 1] Operation: 25-24=1\nMoving to Node #0,10,3\nCurrent State: 69:[34, 1], Operations: ['84-60=24', '25-24=1']\nExploring Operation: 34+1=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 69:[34, 1], Operations: ['84-60=24', '25-24=1']\nExploring Operation: 34*1=34, Resulting Numbers: [34]\n34,69 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 69:[34, 1], Operations: ['84-60=24', '25-24=1']\nExploring Operation: 34/1=34, Resulting Numbers: [34]\n34,69 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 69:[34, 1], Operations: ['84-60=24', '25-24=1']\nExploring Operation: 34-1=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 69:[25, 34, 24], Operations: ['84-60=24']\nExploring Operation: 34-24=10, Resulting Numbers: [25, 10]\nGenerated Node #0,10,4: 69:[25, 10] Operation: 34-24=10\nMoving to Node #0,10,4\nCurrent State: 69:[25, 10], Operations: ['84-60=24', '34-24=10']\nExploring Operation: 25+10=35, Resulting Numbers: [35]\n35,69 unequal: No Solution\nMoving to Node #0,10,4\nCurrent State: 69:[25, 10], Operations: ['84-60=24', '34-24=10']\nExploring Operation: 25-10=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 69:[25, 34, 24], Operations: ['84-60=24']\nExploring Operation: 34-25=9, Resulting Numbers: [24, 9]\nGenerated Node #0,10,5: 69:[24, 9] Operation: 34-25=9\nMoving to Node #0,10,5\nCurrent State: 69:[24, 9], Operations: ['84-60=24', '34-25=9']\nExploring Operation: 24+9=33, Resulting Numbers: [33]\n33,69 unequal: No Solution\nMoving to Node #0,10,5\nCurrent State: 69:[24, 9], Operations: ['84-60=24', '34-25=9']\nExploring Operation: 24-9=15, Resulting Numbers: [15]\n15,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[25, 84, 34, 60], Operations: []\nExploring Operation: 84+60=144, Resulting Numbers: [25, 34, 144]\nGenerated Node #0,11: 69:[25, 34, 144] Operation: 84+60=144\nMoving to Node #0,11\nCurrent State: 69:[25, 34, 144], Operations: ['84+60=144']\nExploring Operation: 25+34=59, Resulting Numbers: [144, 59]\nGenerated Node #0,11,0: 69:[144, 59] Operation: 25+34=59\nMoving to Node #0,11,0\nCurrent State: 69:[144, 59], Operations: ['84+60=144', '25+34=59']\nExploring Operation: 144-59=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 69:[25, 34, 144], Operations: ['84+60=144']\nExploring Operation: 144-25=119, Resulting Numbers: [34, 119]\nGenerated Node #0,11,1: 69:[34, 119] Operation: 144-25=119\nMoving to Node #0,11,1\nCurrent State: 69:[34, 119], Operations: ['84+60=144', '144-25=119']\nExploring Operation: 119-34=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 69:[25, 34, 144], Operations: ['84+60=144']\nExploring Operation: 144-34=110, Resulting Numbers: [25, 110]\nGenerated Node #0,11,2: 69:[25, 110] Operation: 144-34=110\nMoving to Node #0,11,2\nCurrent State: 69:[25, 110], Operations: ['84+60=144', '144-34=110']\nExploring Operation: 110-25=85, Resulting Numbers: [85]\n85,69 unequal: No Solution\nMoving to Node #0,11,2\nCurrent State: 69:[25, 110], Operations: ['84+60=144', '144-34=110']\nExploring Operation: 25+110=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 69:[25, 34, 144], Operations: ['84+60=144']\nExploring Operation: 34-25=9, Resulting Numbers: [144, 9]\nGenerated Node #0,11,3: 69:[144, 9] Operation: 34-25=9\nMoving to Node #0,11,3\nCurrent State: 69:[144, 9], Operations: ['84+60=144', '34-25=9']\nExploring Operation: 144/9=16, Resulting Numbers: [16]\n16,69 unequal: No Solution\nMoving to Node #0,11,3\nCurrent State: 69:[144, 9], Operations: ['84+60=144', '34-25=9']\nExploring Operation: 144-9=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 69:[25, 34, 144], Operations: ['84+60=144']\nExploring Operation: 25+144=169, Resulting Numbers: [34, 169]\nGenerated Node #0,11,4: 69:[34, 169] Operation: 25+144=169\nMoving to Node #0,11,4\nCurrent State: 69:[34, 169], Operations: ['84+60=144', '25+144=169']\nExploring Operation: 169-34=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\n", "role": "assistant" } ]
[ 22, 14, 49, 11 ]
66
[ "22*49=1078", "1078/14=77", "77-11=66" ]
Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 22+14=36, Resulting Numbers: [49, 11, 36] Generated Node #0,0: 66:[49, 11, 36] Operation: 22+14=36 Moving to Node #0,0 Current State: 66:[49, 11, 36], Operations: ['22+14=36'] Exploring Operation: 49+11=60, Resulting Numbers: [36, 60] Generated Node #0,0,0: 66:[36, 60] Operation: 49+11=60 Moving to Node #0,0,0 Current State: 66:[36, 60], Operations: ['22+14=36', '49+11=60'] Exploring Operation: 36+60=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,0,0 Current State: 66:[36, 60], Operations: ['22+14=36', '49+11=60'] Exploring Operation: 60-36=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[49, 11, 36], Operations: ['22+14=36'] Exploring Operation: 11+36=47, Resulting Numbers: [49, 47] Generated Node #0,0,1: 66:[49, 47] Operation: 11+36=47 Moving to Node #0,0,1 Current State: 66:[49, 47], Operations: ['22+14=36', '11+36=47'] Exploring Operation: 49+47=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,0,1 Current State: 66:[49, 47], Operations: ['22+14=36', '11+36=47'] Exploring Operation: 49-47=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[49, 11, 36], Operations: ['22+14=36'] Exploring Operation: 49-11=38, Resulting Numbers: [36, 38] Generated Node #0,0,2: 66:[36, 38] Operation: 49-11=38 Moving to Node #0,0,2 Current State: 66:[36, 38], Operations: ['22+14=36', '49-11=38'] Exploring Operation: 36+38=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,0,2 Current State: 66:[36, 38], Operations: ['22+14=36', '49-11=38'] Exploring Operation: 38-36=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[49, 11, 36], Operations: ['22+14=36'] Exploring Operation: 36-11=25, Resulting Numbers: [49, 25] Generated Node #0,0,3: 66:[49, 25] Operation: 36-11=25 Moving to Node #0,0,3 Current State: 66:[49, 25], Operations: ['22+14=36', '36-11=25'] Exploring Operation: 49+25=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,0,3 Current State: 66:[49, 25], Operations: ['22+14=36', '36-11=25'] Exploring Operation: 49-25=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[49, 11, 36], Operations: ['22+14=36'] Exploring Operation: 49+36=85, Resulting Numbers: [11, 85] Generated Node #0,0,4: 66:[11, 85] Operation: 49+36=85 Moving to Node #0,0,4 Current State: 66:[11, 85], Operations: ['22+14=36', '49+36=85'] Exploring Operation: 85-11=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,0,4 Current State: 66:[11, 85], Operations: ['22+14=36', '49+36=85'] Exploring Operation: 11+85=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,0 Current State: 66:[49, 11, 36], Operations: ['22+14=36'] Exploring Operation: 49-36=13, Resulting Numbers: [11, 13] Generated Node #0,0,5: 66:[11, 13] Operation: 49-36=13 Moving to Node #0,0,5 Current State: 66:[11, 13], Operations: ['22+14=36', '49-36=13'] Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,0,5 Current State: 66:[11, 13], Operations: ['22+14=36', '49-36=13'] Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 22+11=33, Resulting Numbers: [14, 49, 33] Generated Node #0,1: 66:[14, 49, 33] Operation: 22+11=33 Moving to Node #0,1 Current State: 66:[14, 49, 33], Operations: ['22+11=33'] Exploring Operation: 14+49=63, Resulting Numbers: [33, 63] Generated Node #0,1,0: 66:[33, 63] Operation: 14+49=63 Moving to Node #0,1,0 Current State: 66:[33, 63], Operations: ['22+11=33', '14+49=63'] Exploring Operation: 33+63=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,1,0 Current State: 66:[33, 63], Operations: ['22+11=33', '14+49=63'] Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[14, 49, 33], Operations: ['22+11=33'] Exploring Operation: 14+33=47, Resulting Numbers: [49, 47] Generated Node #0,1,1: 66:[49, 47] Operation: 14+33=47 Moving to Node #0,1,1 Current State: 66:[49, 47], Operations: ['22+11=33', '14+33=47'] Exploring Operation: 49+47=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,1,1 Current State: 66:[49, 47], Operations: ['22+11=33', '14+33=47'] Exploring Operation: 49-47=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[14, 49, 33], Operations: ['22+11=33'] Exploring Operation: 49-14=35, Resulting Numbers: [33, 35] Generated Node #0,1,2: 66:[33, 35] Operation: 49-14=35 Moving to Node #0,1,2 Current State: 66:[33, 35], Operations: ['22+11=33', '49-14=35'] Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,1,2 Current State: 66:[33, 35], Operations: ['22+11=33', '49-14=35'] Exploring Operation: 35-33=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[14, 49, 33], Operations: ['22+11=33'] Exploring Operation: 33-14=19, Resulting Numbers: [49, 19] Generated Node #0,1,3: 66:[49, 19] Operation: 33-14=19 Moving to Node #0,1,3 Current State: 66:[49, 19], Operations: ['22+11=33', '33-14=19'] Exploring Operation: 49+19=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,1,3 Current State: 66:[49, 19], Operations: ['22+11=33', '33-14=19'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[14, 49, 33], Operations: ['22+11=33'] Exploring Operation: 49+33=82, Resulting Numbers: [14, 82] Generated Node #0,1,4: 66:[14, 82] Operation: 49+33=82 Moving to Node #0,1,4 Current State: 66:[14, 82], Operations: ['22+11=33', '49+33=82'] Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,1,4 Current State: 66:[14, 82], Operations: ['22+11=33', '49+33=82'] Exploring Operation: 14+82=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,1 Current State: 66:[14, 49, 33], Operations: ['22+11=33'] Exploring Operation: 49-33=16, Resulting Numbers: [14, 16] Generated Node #0,1,5: 66:[14, 16] Operation: 49-33=16 Moving to Node #0,1,5 Current State: 66:[14, 16], Operations: ['22+11=33', '49-33=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,1,5 Current State: 66:[14, 16], Operations: ['22+11=33', '49-33=16'] Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 14+49=63, Resulting Numbers: [22, 11, 63] Generated Node #0,2: 66:[22, 11, 63] Operation: 14+49=63 Moving to Node #0,2 Current State: 66:[22, 11, 63], Operations: ['14+49=63'] Exploring Operation: 22+11=33, Resulting Numbers: [63, 33] Generated Node #0,2,0: 66:[63, 33] Operation: 22+11=33 Moving to Node #0,2,0 Current State: 66:[63, 33], Operations: ['14+49=63', '22+11=33'] Exploring Operation: 63+33=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,2,0 Current State: 66:[63, 33], Operations: ['14+49=63', '22+11=33'] Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[22, 11, 63], Operations: ['14+49=63'] Exploring Operation: 11+63=74, Resulting Numbers: [22, 74] Generated Node #0,2,1: 66:[22, 74] Operation: 11+63=74 Moving to Node #0,2,1 Current State: 66:[22, 74], Operations: ['14+49=63', '11+63=74'] Exploring Operation: 74-22=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,2,1 Current State: 66:[22, 74], Operations: ['14+49=63', '11+63=74'] Exploring Operation: 22+74=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[22, 11, 63], Operations: ['14+49=63'] Exploring Operation: 22-11=11, Resulting Numbers: [63, 11] Generated Node #0,2,2: 66:[63, 11] Operation: 22-11=11 Moving to Node #0,2,2 Current State: 66:[63, 11], Operations: ['14+49=63', '22-11=11'] Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,2,2 Current State: 66:[63, 11], Operations: ['14+49=63', '22-11=11'] Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[22, 11, 63], Operations: ['14+49=63'] Exploring Operation: 63-11=52, Resulting Numbers: [22, 52] Generated Node #0,2,3: 66:[22, 52] Operation: 63-11=52 Moving to Node #0,2,3 Current State: 66:[22, 52], Operations: ['14+49=63', '63-11=52'] Exploring Operation: 22+52=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,2,3 Current State: 66:[22, 52], Operations: ['14+49=63', '63-11=52'] Exploring Operation: 52-22=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[22, 11, 63], Operations: ['14+49=63'] Exploring Operation: 22/11=2, Resulting Numbers: [63, 2] Generated Node #0,2,4: 66:[63, 2] Operation: 22/11=2 Moving to Node #0,2,4 Current State: 66:[63, 2], Operations: ['14+49=63', '22/11=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,66 unequal: No Solution Moving to Node #0,2,4 Current State: 66:[63, 2], Operations: ['14+49=63', '22/11=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,66 unequal: No Solution Moving to Node #0,2,4 Current State: 66:[63, 2], Operations: ['14+49=63', '22/11=2'] Exploring Operation: 63*2=126, Resulting Numbers: [126] 126,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[22, 11, 63], Operations: ['14+49=63'] Exploring Operation: 22+63=85, Resulting Numbers: [11, 85] Generated Node #0,2,5: 66:[11, 85] Operation: 22+63=85 Moving to Node #0,2,5 Current State: 66:[11, 85], Operations: ['14+49=63', '22+63=85'] Exploring Operation: 85-11=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,2,5 Current State: 66:[11, 85], Operations: ['14+49=63', '22+63=85'] Exploring Operation: 11+85=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,2 Current State: 66:[22, 11, 63], Operations: ['14+49=63'] Exploring Operation: 63-22=41, Resulting Numbers: [11, 41] Generated Node #0,2,6: 66:[11, 41] Operation: 63-22=41 Moving to Node #0,2,6 Current State: 66:[11, 41], Operations: ['14+49=63', '63-22=41'] Exploring Operation: 11+41=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,2,6 Current State: 66:[11, 41], Operations: ['14+49=63', '63-22=41'] Exploring Operation: 41-11=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 14+11=25, Resulting Numbers: [22, 49, 25] Generated Node #0,3: 66:[22, 49, 25] Operation: 14+11=25 Moving to Node #0,3 Current State: 66:[22, 49, 25], Operations: ['14+11=25'] Exploring Operation: 22+25=47, Resulting Numbers: [49, 47] Generated Node #0,3,0: 66:[49, 47] Operation: 22+25=47 Moving to Node #0,3,0 Current State: 66:[49, 47], Operations: ['14+11=25', '22+25=47'] Exploring Operation: 49+47=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,3,0 Current State: 66:[49, 47], Operations: ['14+11=25', '22+25=47'] Exploring Operation: 49-47=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[22, 49, 25], Operations: ['14+11=25'] Exploring Operation: 22+49=71, Resulting Numbers: [25, 71] Generated Node #0,3,1: 66:[25, 71] Operation: 22+49=71 Moving to Node #0,3,1 Current State: 66:[25, 71], Operations: ['14+11=25', '22+49=71'] Exploring Operation: 71-25=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,3,1 Current State: 66:[25, 71], Operations: ['14+11=25', '22+49=71'] Exploring Operation: 25+71=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[22, 49, 25], Operations: ['14+11=25'] Exploring Operation: 49+25=74, Resulting Numbers: [22, 74] Generated Node #0,3,2: 66:[22, 74] Operation: 49+25=74 Moving to Node #0,3,2 Current State: 66:[22, 74], Operations: ['14+11=25', '49+25=74'] Exploring Operation: 74-22=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,3,2 Current State: 66:[22, 74], Operations: ['14+11=25', '49+25=74'] Exploring Operation: 22+74=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[22, 49, 25], Operations: ['14+11=25'] Exploring Operation: 49-22=27, Resulting Numbers: [25, 27] Generated Node #0,3,3: 66:[25, 27] Operation: 49-22=27 Moving to Node #0,3,3 Current State: 66:[25, 27], Operations: ['14+11=25', '49-22=27'] Exploring Operation: 25+27=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,3,3 Current State: 66:[25, 27], Operations: ['14+11=25', '49-22=27'] Exploring Operation: 27-25=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[22, 49, 25], Operations: ['14+11=25'] Exploring Operation: 25-22=3, Resulting Numbers: [49, 3] Generated Node #0,3,4: 66:[49, 3] Operation: 25-22=3 Moving to Node #0,3,4 Current State: 66:[49, 3], Operations: ['14+11=25', '25-22=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,3,4 Current State: 66:[49, 3], Operations: ['14+11=25', '25-22=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,3 Current State: 66:[22, 49, 25], Operations: ['14+11=25'] Exploring Operation: 49-25=24, Resulting Numbers: [22, 24] Generated Node #0,3,5: 66:[22, 24] Operation: 49-25=24 Moving to Node #0,3,5 Current State: 66:[22, 24], Operations: ['14+11=25', '49-25=24'] Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,3,5 Current State: 66:[22, 24], Operations: ['14+11=25', '49-25=24'] Exploring Operation: 24-22=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 49+11=60, Resulting Numbers: [22, 14, 60] Generated Node #0,4: 66:[22, 14, 60] Operation: 49+11=60 Moving to Node #0,4 Current State: 66:[22, 14, 60], Operations: ['49+11=60'] Exploring Operation: 22+14=36, Resulting Numbers: [60, 36] Generated Node #0,4,0: 66:[60, 36] Operation: 22+14=36 Moving to Node #0,4,0 Current State: 66:[60, 36], Operations: ['49+11=60', '22+14=36'] Exploring Operation: 60+36=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,4,0 Current State: 66:[60, 36], Operations: ['49+11=60', '22+14=36'] Exploring Operation: 60-36=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[22, 14, 60], Operations: ['49+11=60'] Exploring Operation: 14+60=74, Resulting Numbers: [22, 74] Generated Node #0,4,1: 66:[22, 74] Operation: 14+60=74 Moving to Node #0,4,1 Current State: 66:[22, 74], Operations: ['49+11=60', '14+60=74'] Exploring Operation: 74-22=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,4,1 Current State: 66:[22, 74], Operations: ['49+11=60', '14+60=74'] Exploring Operation: 22+74=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[22, 14, 60], Operations: ['49+11=60'] Exploring Operation: 22-14=8, Resulting Numbers: [60, 8] Generated Node #0,4,2: 66:[60, 8] Operation: 22-14=8 Moving to Node #0,4,2 Current State: 66:[60, 8], Operations: ['49+11=60', '22-14=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,4,2 Current State: 66:[60, 8], Operations: ['49+11=60', '22-14=8'] Exploring Operation: 60-8=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[22, 14, 60], Operations: ['49+11=60'] Exploring Operation: 60-14=46, Resulting Numbers: [22, 46] Generated Node #0,4,3: 66:[22, 46] Operation: 60-14=46 Moving to Node #0,4,3 Current State: 66:[22, 46], Operations: ['49+11=60', '60-14=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,4,3 Current State: 66:[22, 46], Operations: ['49+11=60', '60-14=46'] Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[22, 14, 60], Operations: ['49+11=60'] Exploring Operation: 22+60=82, Resulting Numbers: [14, 82] Generated Node #0,4,4: 66:[14, 82] Operation: 22+60=82 Moving to Node #0,4,4 Current State: 66:[14, 82], Operations: ['49+11=60', '22+60=82'] Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,4,4 Current State: 66:[14, 82], Operations: ['49+11=60', '22+60=82'] Exploring Operation: 14+82=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,4 Current State: 66:[22, 14, 60], Operations: ['49+11=60'] Exploring Operation: 60-22=38, Resulting Numbers: [14, 38] Generated Node #0,4,5: 66:[14, 38] Operation: 60-22=38 Moving to Node #0,4,5 Current State: 66:[14, 38], Operations: ['49+11=60', '60-22=38'] Exploring Operation: 14+38=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,4,5 Current State: 66:[14, 38], Operations: ['49+11=60', '60-22=38'] Exploring Operation: 38-14=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 22+49=71, Resulting Numbers: [14, 11, 71] Generated Node #0,5: 66:[14, 11, 71] Operation: 22+49=71 Moving to Node #0,5 Current State: 66:[14, 11, 71], Operations: ['22+49=71'] Exploring Operation: 14+11=25, Resulting Numbers: [71, 25] Generated Node #0,5,0: 66:[71, 25] Operation: 14+11=25 Moving to Node #0,5,0 Current State: 66:[71, 25], Operations: ['22+49=71', '14+11=25'] Exploring Operation: 71-25=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,5,0 Current State: 66:[71, 25], Operations: ['22+49=71', '14+11=25'] Exploring Operation: 71+25=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[14, 11, 71], Operations: ['22+49=71'] Exploring Operation: 71-11=60, Resulting Numbers: [14, 60] Generated Node #0,5,1: 66:[14, 60] Operation: 71-11=60 Moving to Node #0,5,1 Current State: 66:[14, 60], Operations: ['22+49=71', '71-11=60'] Exploring Operation: 14+60=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,5,1 Current State: 66:[14, 60], Operations: ['22+49=71', '71-11=60'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[14, 11, 71], Operations: ['22+49=71'] Exploring Operation: 71-14=57, Resulting Numbers: [11, 57] Generated Node #0,5,2: 66:[11, 57] Operation: 71-14=57 Moving to Node #0,5,2 Current State: 66:[11, 57], Operations: ['22+49=71', '71-14=57'] Exploring Operation: 11+57=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,5,2 Current State: 66:[11, 57], Operations: ['22+49=71', '71-14=57'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[14, 11, 71], Operations: ['22+49=71'] Exploring Operation: 14-11=3, Resulting Numbers: [71, 3] Generated Node #0,5,3: 66:[71, 3] Operation: 14-11=3 Moving to Node #0,5,3 Current State: 66:[71, 3], Operations: ['22+49=71', '14-11=3'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,5,3 Current State: 66:[71, 3], Operations: ['22+49=71', '14-11=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[14, 11, 71], Operations: ['22+49=71'] Exploring Operation: 11+71=82, Resulting Numbers: [14, 82] Generated Node #0,5,4: 66:[14, 82] Operation: 11+71=82 Moving to Node #0,5,4 Current State: 66:[14, 82], Operations: ['22+49=71', '11+71=82'] Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,5,4 Current State: 66:[14, 82], Operations: ['22+49=71', '11+71=82'] Exploring Operation: 14+82=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[14, 11, 71], Operations: ['22+49=71'] Exploring Operation: 14+71=85, Resulting Numbers: [11, 85] Generated Node #0,5,5: 66:[11, 85] Operation: 14+71=85 Moving to Node #0,5,5 Current State: 66:[11, 85], Operations: ['22+49=71', '14+71=85'] Exploring Operation: 85-11=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,5,5 Current State: 66:[11, 85], Operations: ['22+49=71', '14+71=85'] Exploring Operation: 11+85=96, Resulting Numbers: [96] 96,66 unequal: No Solution Moving to Node #0,5 Current State: 66:[14, 11, 71], Operations: ['22+49=71'] Exploring Operation: 14*11=154, Resulting Numbers: [71, 154] Generated Node #0,5,6: 66:[71, 154] Operation: 14*11=154 Moving to Node #0,5,6 Current State: 66:[71, 154], Operations: ['22+49=71', '14*11=154'] Exploring Operation: 154-71=83, Resulting Numbers: [83] 83,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 22-11=11, Resulting Numbers: [14, 49, 11] Generated Node #0,6: 66:[14, 49, 11] Operation: 22-11=11 Moving to Node #0,6 Current State: 66:[14, 49, 11], Operations: ['22-11=11'] Exploring Operation: 14+49=63, Resulting Numbers: [11, 63] Generated Node #0,6,0: 66:[11, 63] Operation: 14+49=63 Moving to Node #0,6,0 Current State: 66:[11, 63], Operations: ['22-11=11', '14+49=63'] Exploring Operation: 11+63=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,6,0 Current State: 66:[11, 63], Operations: ['22-11=11', '14+49=63'] Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[14, 49, 11], Operations: ['22-11=11'] Exploring Operation: 14+11=25, Resulting Numbers: [49, 25] Generated Node #0,6,1: 66:[49, 25] Operation: 14+11=25 Moving to Node #0,6,1 Current State: 66:[49, 25], Operations: ['22-11=11', '14+11=25'] Exploring Operation: 49+25=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,6,1 Current State: 66:[49, 25], Operations: ['22-11=11', '14+11=25'] Exploring Operation: 49-25=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[14, 49, 11], Operations: ['22-11=11'] Exploring Operation: 49+11=60, Resulting Numbers: [14, 60] Generated Node #0,6,2: 66:[14, 60] Operation: 49+11=60 Moving to Node #0,6,2 Current State: 66:[14, 60], Operations: ['22-11=11', '49+11=60'] Exploring Operation: 14+60=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,6,2 Current State: 66:[14, 60], Operations: ['22-11=11', '49+11=60'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[14, 49, 11], Operations: ['22-11=11'] Exploring Operation: 14-11=3, Resulting Numbers: [49, 3] Generated Node #0,6,3: 66:[49, 3] Operation: 14-11=3 Moving to Node #0,6,3 Current State: 66:[49, 3], Operations: ['22-11=11', '14-11=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,6,3 Current State: 66:[49, 3], Operations: ['22-11=11', '14-11=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[14, 49, 11], Operations: ['22-11=11'] Exploring Operation: 49-11=38, Resulting Numbers: [14, 38] Generated Node #0,6,4: 66:[14, 38] Operation: 49-11=38 Moving to Node #0,6,4 Current State: 66:[14, 38], Operations: ['22-11=11', '49-11=38'] Exploring Operation: 14+38=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,6,4 Current State: 66:[14, 38], Operations: ['22-11=11', '49-11=38'] Exploring Operation: 38-14=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[14, 49, 11], Operations: ['22-11=11'] Exploring Operation: 49-14=35, Resulting Numbers: [11, 35] Generated Node #0,6,5: 66:[11, 35] Operation: 49-14=35 Moving to Node #0,6,5 Current State: 66:[11, 35], Operations: ['22-11=11', '49-14=35'] Exploring Operation: 11+35=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,6,5 Current State: 66:[11, 35], Operations: ['22-11=11', '49-14=35'] Exploring Operation: 35-11=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,6 Current State: 66:[14, 49, 11], Operations: ['22-11=11'] Exploring Operation: 14*11=154, Resulting Numbers: [49, 154] Generated Node #0,6,6: 66:[49, 154] Operation: 14*11=154 Moving to Node #0,6,6 Current State: 66:[49, 154], Operations: ['22-11=11', '14*11=154'] Exploring Operation: 154-49=105, Resulting Numbers: [105] 105,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [22, 49, 3] Generated Node #0,7: 66:[22, 49, 3] Operation: 14-11=3 Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 22*3=66, Resulting Numbers: [49, 66] Generated Node #0,7,0: 66:[49, 66] Operation: 22*3=66 Moving to Node #0,7,0 Current State: 66:[49, 66], Operations: ['14-11=3', '22*3=66'] Exploring Operation: 49+66=115, Resulting Numbers: [115] 115,66 unequal: No Solution Moving to Node #0,7,0 Current State: 66:[49, 66], Operations: ['14-11=3', '22*3=66'] Exploring Operation: 66-49=17, Resulting Numbers: [17] 17,66 unequal: No Solution Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 22+3=25, Resulting Numbers: [49, 25] Generated Node #0,7,1: 66:[49, 25] Operation: 22+3=25 Moving to Node #0,7,1 Current State: 66:[49, 25], Operations: ['14-11=3', '22+3=25'] Exploring Operation: 49+25=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,7,1 Current State: 66:[49, 25], Operations: ['14-11=3', '22+3=25'] Exploring Operation: 49-25=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 49+3=52, Resulting Numbers: [22, 52] Generated Node #0,7,2: 66:[22, 52] Operation: 49+3=52 Moving to Node #0,7,2 Current State: 66:[22, 52], Operations: ['14-11=3', '49+3=52'] Exploring Operation: 22+52=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,7,2 Current State: 66:[22, 52], Operations: ['14-11=3', '49+3=52'] Exploring Operation: 52-22=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 22-3=19, Resulting Numbers: [49, 19] Generated Node #0,7,3: 66:[49, 19] Operation: 22-3=19 Moving to Node #0,7,3 Current State: 66:[49, 19], Operations: ['14-11=3', '22-3=19'] Exploring Operation: 49+19=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,7,3 Current State: 66:[49, 19], Operations: ['14-11=3', '22-3=19'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 49-3=46, Resulting Numbers: [22, 46] Generated Node #0,7,4: 66:[22, 46] Operation: 49-3=46 Moving to Node #0,7,4 Current State: 66:[22, 46], Operations: ['14-11=3', '49-3=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,7,4 Current State: 66:[22, 46], Operations: ['14-11=3', '49-3=46'] Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 22+49=71, Resulting Numbers: [3, 71] Generated Node #0,7,5: 66:[3, 71] Operation: 22+49=71 Moving to Node #0,7,5 Current State: 66:[3, 71], Operations: ['14-11=3', '22+49=71'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,7,5 Current State: 66:[3, 71], Operations: ['14-11=3', '22+49=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 49-22=27, Resulting Numbers: [3, 27] Generated Node #0,7,6: 66:[3, 27] Operation: 49-22=27 Moving to Node #0,7,6 Current State: 66:[3, 27], Operations: ['14-11=3', '49-22=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,66 unequal: No Solution Moving to Node #0,7,6 Current State: 66:[3, 27], Operations: ['14-11=3', '49-22=27'] Exploring Operation: 3+27=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,7,6 Current State: 66:[3, 27], Operations: ['14-11=3', '49-22=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,7,6 Current State: 66:[3, 27], Operations: ['14-11=3', '49-22=27'] Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0,7 Current State: 66:[22, 49, 3], Operations: ['14-11=3'] Exploring Operation: 49*3=147, Resulting Numbers: [22, 147] Generated Node #0,7,7: 66:[22, 147] Operation: 49*3=147 Moving to Node #0,7,7 Current State: 66:[22, 147], Operations: ['14-11=3', '49*3=147'] Exploring Operation: 147-22=125, Resulting Numbers: [125] 125,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [22, 14, 38] Generated Node #0,8: 66:[22, 14, 38] Operation: 49-11=38 Moving to Node #0,8 Current State: 66:[22, 14, 38], Operations: ['49-11=38'] Exploring Operation: 22+14=36, Resulting Numbers: [38, 36] Generated Node #0,8,0: 66:[38, 36] Operation: 22+14=36 Moving to Node #0,8,0 Current State: 66:[38, 36], Operations: ['49-11=38', '22+14=36'] Exploring Operation: 38+36=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,8,0 Current State: 66:[38, 36], Operations: ['49-11=38', '22+14=36'] Exploring Operation: 38-36=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,8 Current State: 66:[22, 14, 38], Operations: ['49-11=38'] Exploring Operation: 22+38=60, Resulting Numbers: [14, 60] Generated Node #0,8,1: 66:[14, 60] Operation: 22+38=60 Moving to Node #0,8,1 Current State: 66:[14, 60], Operations: ['49-11=38', '22+38=60'] Exploring Operation: 14+60=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,8,1 Current State: 66:[14, 60], Operations: ['49-11=38', '22+38=60'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,8 Current State: 66:[22, 14, 38], Operations: ['49-11=38'] Exploring Operation: 14+38=52, Resulting Numbers: [22, 52] Generated Node #0,8,2: 66:[22, 52] Operation: 14+38=52 Moving to Node #0,8,2 Current State: 66:[22, 52], Operations: ['49-11=38', '14+38=52'] Exploring Operation: 22+52=74, Resulting Numbers: [74] 74,66 unequal: No Solution Moving to Node #0,8,2 Current State: 66:[22, 52], Operations: ['49-11=38', '14+38=52'] Exploring Operation: 52-22=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,8 Current State: 66:[22, 14, 38], Operations: ['49-11=38'] Exploring Operation: 22-14=8, Resulting Numbers: [38, 8] Generated Node #0,8,3: 66:[38, 8] Operation: 22-14=8 Moving to Node #0,8,3 Current State: 66:[38, 8], Operations: ['49-11=38', '22-14=8'] Exploring Operation: 38+8=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,8,3 Current State: 66:[38, 8], Operations: ['49-11=38', '22-14=8'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,8 Current State: 66:[22, 14, 38], Operations: ['49-11=38'] Exploring Operation: 38-14=24, Resulting Numbers: [22, 24] Generated Node #0,8,4: 66:[22, 24] Operation: 38-14=24 Moving to Node #0,8,4 Current State: 66:[22, 24], Operations: ['49-11=38', '38-14=24'] Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,8,4 Current State: 66:[22, 24], Operations: ['49-11=38', '38-14=24'] Exploring Operation: 24-22=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,8 Current State: 66:[22, 14, 38], Operations: ['49-11=38'] Exploring Operation: 38-22=16, Resulting Numbers: [14, 16] Generated Node #0,8,5: 66:[14, 16] Operation: 38-22=16 Moving to Node #0,8,5 Current State: 66:[14, 16], Operations: ['49-11=38', '38-22=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,8,5 Current State: 66:[14, 16], Operations: ['49-11=38', '38-22=16'] Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 22-14=8, Resulting Numbers: [49, 11, 8] Generated Node #0,9: 66:[49, 11, 8] Operation: 22-14=8 Moving to Node #0,9 Current State: 66:[49, 11, 8], Operations: ['22-14=8'] Exploring Operation: 11*8=88, Resulting Numbers: [49, 88] Generated Node #0,9,0: 66:[49, 88] Operation: 11*8=88 Moving to Node #0,9,0 Current State: 66:[49, 88], Operations: ['22-14=8', '11*8=88'] Exploring Operation: 88-49=39, Resulting Numbers: [39] 39,66 unequal: No Solution Moving to Node #0,9 Current State: 66:[49, 11, 8], Operations: ['22-14=8'] Exploring Operation: 49+11=60, Resulting Numbers: [8, 60] Generated Node #0,9,1: 66:[8, 60] Operation: 49+11=60 Moving to Node #0,9,1 Current State: 66:[8, 60], Operations: ['22-14=8', '49+11=60'] Exploring Operation: 8+60=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,9,1 Current State: 66:[8, 60], Operations: ['22-14=8', '49+11=60'] Exploring Operation: 60-8=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,9 Current State: 66:[49, 11, 8], Operations: ['22-14=8'] Exploring Operation: 49+8=57, Resulting Numbers: [11, 57] Generated Node #0,9,2: 66:[11, 57] Operation: 49+8=57 Moving to Node #0,9,2 Current State: 66:[11, 57], Operations: ['22-14=8', '49+8=57'] Exploring Operation: 11+57=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,9,2 Current State: 66:[11, 57], Operations: ['22-14=8', '49+8=57'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,9 Current State: 66:[49, 11, 8], Operations: ['22-14=8'] Exploring Operation: 11+8=19, Resulting Numbers: [49, 19] Generated Node #0,9,3: 66:[49, 19] Operation: 11+8=19 Moving to Node #0,9,3 Current State: 66:[49, 19], Operations: ['22-14=8', '11+8=19'] Exploring Operation: 49+19=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,9,3 Current State: 66:[49, 19], Operations: ['22-14=8', '11+8=19'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,9 Current State: 66:[49, 11, 8], Operations: ['22-14=8'] Exploring Operation: 49-8=41, Resulting Numbers: [11, 41] Generated Node #0,9,4: 66:[11, 41] Operation: 49-8=41 Moving to Node #0,9,4 Current State: 66:[11, 41], Operations: ['22-14=8', '49-8=41'] Exploring Operation: 11+41=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,9,4 Current State: 66:[11, 41], Operations: ['22-14=8', '49-8=41'] Exploring Operation: 41-11=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,9 Current State: 66:[49, 11, 8], Operations: ['22-14=8'] Exploring Operation: 11-8=3, Resulting Numbers: [49, 3] Generated Node #0,9,5: 66:[49, 3] Operation: 11-8=3 Moving to Node #0,9,5 Current State: 66:[49, 3], Operations: ['22-14=8', '11-8=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,9,5 Current State: 66:[49, 3], Operations: ['22-14=8', '11-8=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,9 Current State: 66:[49, 11, 8], Operations: ['22-14=8'] Exploring Operation: 49-11=38, Resulting Numbers: [8, 38] Generated Node #0,9,6: 66:[8, 38] Operation: 49-11=38 Moving to Node #0,9,6 Current State: 66:[8, 38], Operations: ['22-14=8', '49-11=38'] Exploring Operation: 8+38=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,9,6 Current State: 66:[8, 38], Operations: ['22-14=8', '49-11=38'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [22, 11, 35] Generated Node #0,10: 66:[22, 11, 35] Operation: 49-14=35 Moving to Node #0,10 Current State: 66:[22, 11, 35], Operations: ['49-14=35'] Exploring Operation: 22+11=33, Resulting Numbers: [35, 33] Generated Node #0,10,0: 66:[35, 33] Operation: 22+11=33 Moving to Node #0,10,0 Current State: 66:[35, 33], Operations: ['49-14=35', '22+11=33'] Exploring Operation: 35+33=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,10,0 Current State: 66:[35, 33], Operations: ['49-14=35', '22+11=33'] Exploring Operation: 35-33=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,10 Current State: 66:[22, 11, 35], Operations: ['49-14=35'] Exploring Operation: 22+35=57, Resulting Numbers: [11, 57] Generated Node #0,10,1: 66:[11, 57] Operation: 22+35=57 Moving to Node #0,10,1 Current State: 66:[11, 57], Operations: ['49-14=35', '22+35=57'] Exploring Operation: 11+57=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,10,1 Current State: 66:[11, 57], Operations: ['49-14=35', '22+35=57'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,10 Current State: 66:[22, 11, 35], Operations: ['49-14=35'] Exploring Operation: 11+35=46, Resulting Numbers: [22, 46] Generated Node #0,10,2: 66:[22, 46] Operation: 11+35=46 Moving to Node #0,10,2 Current State: 66:[22, 46], Operations: ['49-14=35', '11+35=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,66 unequal: No Solution Moving to Node #0,10,2 Current State: 66:[22, 46], Operations: ['49-14=35', '11+35=46'] Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,10 Current State: 66:[22, 11, 35], Operations: ['49-14=35'] Exploring Operation: 22-11=11, Resulting Numbers: [35, 11] Generated Node #0,10,3: 66:[35, 11] Operation: 22-11=11 Moving to Node #0,10,3 Current State: 66:[35, 11], Operations: ['49-14=35', '22-11=11'] Exploring Operation: 35+11=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,10,3 Current State: 66:[35, 11], Operations: ['49-14=35', '22-11=11'] Exploring Operation: 35-11=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,10 Current State: 66:[22, 11, 35], Operations: ['49-14=35'] Exploring Operation: 35-11=24, Resulting Numbers: [22, 24] Generated Node #0,10,4: 66:[22, 24] Operation: 35-11=24 Moving to Node #0,10,4 Current State: 66:[22, 24], Operations: ['49-14=35', '35-11=24'] Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,66 unequal: No Solution Moving to Node #0,10,4 Current State: 66:[22, 24], Operations: ['49-14=35', '35-11=24'] Exploring Operation: 24-22=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,10 Current State: 66:[22, 11, 35], Operations: ['49-14=35'] Exploring Operation: 22/11=2, Resulting Numbers: [35, 2] Generated Node #0,10,5: 66:[35, 2] Operation: 22/11=2 Moving to Node #0,10,5 Current State: 66:[35, 2], Operations: ['49-14=35', '22/11=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,66 unequal: No Solution Moving to Node #0,10,5 Current State: 66:[35, 2], Operations: ['49-14=35', '22/11=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,66 unequal: No Solution Moving to Node #0,10,5 Current State: 66:[35, 2], Operations: ['49-14=35', '22/11=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,10 Current State: 66:[22, 11, 35], Operations: ['49-14=35'] Exploring Operation: 35-22=13, Resulting Numbers: [11, 13] Generated Node #0,10,6: 66:[11, 13] Operation: 35-22=13 Moving to Node #0,10,6 Current State: 66:[11, 13], Operations: ['49-14=35', '35-22=13'] Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,10,6 Current State: 66:[11, 13], Operations: ['49-14=35', '35-22=13'] Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [14, 49, 2] Generated Node #0,11: 66:[14, 49, 2] Operation: 22/11=2 Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 14*2=28, Resulting Numbers: [49, 28] Generated Node #0,11,0: 66:[49, 28] Operation: 14*2=28 Moving to Node #0,11,0 Current State: 66:[49, 28], Operations: ['22/11=2', '14*2=28'] Exploring Operation: 49+28=77, Resulting Numbers: [77] 77,66 unequal: No Solution Moving to Node #0,11,0 Current State: 66:[49, 28], Operations: ['22/11=2', '14*2=28'] Exploring Operation: 49-28=21, Resulting Numbers: [21] 21,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 14+49=63, Resulting Numbers: [2, 63] Generated Node #0,11,1: 66:[2, 63] Operation: 14+49=63 Moving to Node #0,11,1 Current State: 66:[2, 63], Operations: ['22/11=2', '14+49=63'] Exploring Operation: 2+63=65, Resulting Numbers: [65] 65,66 unequal: No Solution Moving to Node #0,11,1 Current State: 66:[2, 63], Operations: ['22/11=2', '14+49=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,66 unequal: No Solution Moving to Node #0,11,1 Current State: 66:[2, 63], Operations: ['22/11=2', '14+49=63'] Exploring Operation: 2*63=126, Resulting Numbers: [126] 126,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 14+2=16, Resulting Numbers: [49, 16] Generated Node #0,11,2: 66:[49, 16] Operation: 14+2=16 Moving to Node #0,11,2 Current State: 66:[49, 16], Operations: ['22/11=2', '14+2=16'] Exploring Operation: 49+16=65, Resulting Numbers: [65] 65,66 unequal: No Solution Moving to Node #0,11,2 Current State: 66:[49, 16], Operations: ['22/11=2', '14+2=16'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 49+2=51, Resulting Numbers: [14, 51] Generated Node #0,11,3: 66:[14, 51] Operation: 49+2=51 Moving to Node #0,11,3 Current State: 66:[14, 51], Operations: ['22/11=2', '49+2=51'] Exploring Operation: 14+51=65, Resulting Numbers: [65] 65,66 unequal: No Solution Moving to Node #0,11,3 Current State: 66:[14, 51], Operations: ['22/11=2', '49+2=51'] Exploring Operation: 51-14=37, Resulting Numbers: [37] 37,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 14-2=12, Resulting Numbers: [49, 12] Generated Node #0,11,4: 66:[49, 12] Operation: 14-2=12 Moving to Node #0,11,4 Current State: 66:[49, 12], Operations: ['22/11=2', '14-2=12'] Exploring Operation: 49+12=61, Resulting Numbers: [61] 61,66 unequal: No Solution Moving to Node #0,11,4 Current State: 66:[49, 12], Operations: ['22/11=2', '14-2=12'] Exploring Operation: 49-12=37, Resulting Numbers: [37] 37,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 49-2=47, Resulting Numbers: [14, 47] Generated Node #0,11,5: 66:[14, 47] Operation: 49-2=47 Moving to Node #0,11,5 Current State: 66:[14, 47], Operations: ['22/11=2', '49-2=47'] Exploring Operation: 14+47=61, Resulting Numbers: [61] 61,66 unequal: No Solution Moving to Node #0,11,5 Current State: 66:[14, 47], Operations: ['22/11=2', '49-2=47'] Exploring Operation: 47-14=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 14/2=7, Resulting Numbers: [49, 7] Generated Node #0,11,6: 66:[49, 7] Operation: 14/2=7 Moving to Node #0,11,6 Current State: 66:[49, 7], Operations: ['22/11=2', '14/2=7'] Exploring Operation: 49+7=56, Resulting Numbers: [56] 56,66 unequal: No Solution Moving to Node #0,11,6 Current State: 66:[49, 7], Operations: ['22/11=2', '14/2=7'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,66 unequal: No Solution Moving to Node #0,11,6 Current State: 66:[49, 7], Operations: ['22/11=2', '14/2=7'] Exploring Operation: 49/7=7, Resulting Numbers: [7] 7,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 49*2=98, Resulting Numbers: [14, 98] Generated Node #0,11,7: 66:[14, 98] Operation: 49*2=98 Moving to Node #0,11,7 Current State: 66:[14, 98], Operations: ['22/11=2', '49*2=98'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,66 unequal: No Solution Moving to Node #0,11,7 Current State: 66:[14, 98], Operations: ['22/11=2', '49*2=98'] Exploring Operation: 14+98=112, Resulting Numbers: [112] 112,66 unequal: No Solution Moving to Node #0,11,7 Current State: 66:[14, 98], Operations: ['22/11=2', '49*2=98'] Exploring Operation: 98/14=7, Resulting Numbers: [7] 7,66 unequal: No Solution Moving to Node #0,11 Current State: 66:[14, 49, 2], Operations: ['22/11=2'] Exploring Operation: 49-14=35, Resulting Numbers: [2, 35] Generated Node #0,11,8: 66:[2, 35] Operation: 49-14=35 Moving to Node #0,11,8 Current State: 66:[2, 35], Operations: ['22/11=2', '49-14=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,66 unequal: No Solution Moving to Node #0,11,8 Current State: 66:[2, 35], Operations: ['22/11=2', '49-14=35'] Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,66 unequal: No Solution Moving to Node #0,11,8 Current State: 66:[2, 35], Operations: ['22/11=2', '49-14=35'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 49-22=27, Resulting Numbers: [14, 11, 27] Generated Node #0,12: 66:[14, 11, 27] Operation: 49-22=27 Moving to Node #0,12 Current State: 66:[14, 11, 27], Operations: ['49-22=27'] Exploring Operation: 14+11=25, Resulting Numbers: [27, 25] Generated Node #0,12,0: 66:[27, 25] Operation: 14+11=25 Moving to Node #0,12,0 Current State: 66:[27, 25], Operations: ['49-22=27', '14+11=25'] Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,12,0 Current State: 66:[27, 25], Operations: ['49-22=27', '14+11=25'] Exploring Operation: 27-25=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,12 Current State: 66:[14, 11, 27], Operations: ['49-22=27'] Exploring Operation: 14+27=41, Resulting Numbers: [11, 41] Generated Node #0,12,1: 66:[11, 41] Operation: 14+27=41 Moving to Node #0,12,1 Current State: 66:[11, 41], Operations: ['49-22=27', '14+27=41'] Exploring Operation: 11+41=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,12,1 Current State: 66:[11, 41], Operations: ['49-22=27', '14+27=41'] Exploring Operation: 41-11=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,12 Current State: 66:[14, 11, 27], Operations: ['49-22=27'] Exploring Operation: 11+27=38, Resulting Numbers: [14, 38] Generated Node #0,12,2: 66:[14, 38] Operation: 11+27=38 Moving to Node #0,12,2 Current State: 66:[14, 38], Operations: ['49-22=27', '11+27=38'] Exploring Operation: 14+38=52, Resulting Numbers: [52] 52,66 unequal: No Solution Moving to Node #0,12,2 Current State: 66:[14, 38], Operations: ['49-22=27', '11+27=38'] Exploring Operation: 38-14=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,12 Current State: 66:[14, 11, 27], Operations: ['49-22=27'] Exploring Operation: 14-11=3, Resulting Numbers: [27, 3] Generated Node #0,12,3: 66:[27, 3] Operation: 14-11=3 Moving to Node #0,12,3 Current State: 66:[27, 3], Operations: ['49-22=27', '14-11=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,66 unequal: No Solution Moving to Node #0,12,3 Current State: 66:[27, 3], Operations: ['49-22=27', '14-11=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,12,3 Current State: 66:[27, 3], Operations: ['49-22=27', '14-11=3'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,12,3 Current State: 66:[27, 3], Operations: ['49-22=27', '14-11=3'] Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,66 unequal: No Solution Moving to Node #0,12 Current State: 66:[14, 11, 27], Operations: ['49-22=27'] Exploring Operation: 27-11=16, Resulting Numbers: [14, 16] Generated Node #0,12,4: 66:[14, 16] Operation: 27-11=16 Moving to Node #0,12,4 Current State: 66:[14, 16], Operations: ['49-22=27', '27-11=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,66 unequal: No Solution Moving to Node #0,12,4 Current State: 66:[14, 16], Operations: ['49-22=27', '27-11=16'] Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,12 Current State: 66:[14, 11, 27], Operations: ['49-22=27'] Exploring Operation: 27-14=13, Resulting Numbers: [11, 13] Generated Node #0,12,5: 66:[11, 13] Operation: 27-14=13 Moving to Node #0,12,5 Current State: 66:[11, 13], Operations: ['49-22=27', '27-14=13'] Exploring Operation: 11+13=24, Resulting Numbers: [24] 24,66 unequal: No Solution Moving to Node #0,12,5 Current State: 66:[11, 13], Operations: ['49-22=27', '27-14=13'] Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,66 unequal: No Solution Moving to Node #0,12 Current State: 66:[14, 11, 27], Operations: ['49-22=27'] Exploring Operation: 14*11=154, Resulting Numbers: [27, 154] Generated Node #0,12,6: 66:[27, 154] Operation: 14*11=154 Moving to Node #0,12,6 Current State: 66:[27, 154], Operations: ['49-22=27', '14*11=154'] Exploring Operation: 154-27=127, Resulting Numbers: [127] 127,66 unequal: No Solution Moving to Node #0 Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 14*11=154, Resulting Numbers: [22, 49, 154] Generated Node #0,13: 66:[22, 49, 154] Operation: 14*11=154 Moving to Node #0,13 Current State: 66:[22, 49, 154], Operations: ['14*11=154'] Exploring Operation: 154/22=7, Resulting Numbers: [49, 7] Generated Node #0,13,0: 66:[49, 7] Operation: 154/22=7 Moving to Node #0,13,0 Current State: 66:[49, 7], Operations: ['14*11=154', '154/22=7'] Exploring Operation: 49+7=56, Resulting Numbers: [56] 56,66 unequal: No Solution Moving to Node #0,13,0 Current State: 66:[49, 7], Operations: ['14*11=154', '154/22=7'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,66 unequal: No Solution Moving to Node #0,13,0 Current State: 66:[49, 7], Operations: ['14*11=154', '154/22=7'] Exploring Operation: 49/7=7, Resulting Numbers: [7] 7,66 unequal: No Solution Moving to Node #0,13 Current State: 66:[22, 49, 154], Operations: ['14*11=154'] Exploring Operation: 154-22=132, Resulting Numbers: [49, 132] Generated Node #0,13,1: 66:[49, 132] Operation: 154-22=132 Moving to Node #0,13,1 Current State: 66:[49, 132], Operations: ['14*11=154', '154-22=132'] Exploring Operation: 132-49=83, Resulting Numbers: [83] 83,66 unequal: No Solution Moving to Node #0,13 Current State: 66:[22, 49, 154], Operations: ['14*11=154'] Exploring Operation: 154-49=105, Resulting Numbers: [22, 105] Generated Node #0,13,2: 66:[22, 105] Operation: 154-49=105 Moving to Node #0,13,2 Current State: 66:[22, 105], Operations: ['14*11=154', '154-49=105'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,66 unequal: No Solution Moving to Node #0,13,2 Current State: 66:[22, 105], Operations: ['14*11=154', '154-49=105'] Exploring Operation: 22+105=127, Resulting Numbers: [127] 127,66 unequal: No Solution Moving to Node #0,13 Current State: 66:[22, 49, 154], Operations: ['14*11=154'] Exploring Operation: 22+49=71, Resulting Numbers: [154, 71] Generated Node #0,13,3: 66:[154, 71] Operation: 22+49=71 Moving to Node #0,13,3 Current State: 66:[154, 71], Operations: ['14*11=154', '22+49=71'] Exploring Operation: 154-71=83, Resulting Numbers: [83] 83,66 unequal: No Solution Moving to Node #0,13 Current State: 66:[22, 49, 154], Operations: ['14*11=154'] Exploring Operation: 49-22=27, Resulting Numbers: [154, 27] Generated Node #0,13,4: 66:[154, 27] Operation: 49-22=27 Moving to Node #0,13,4 Current State: 66:[154, 27], Operations: ['14*11=154', '49-22=27'] Exploring Operation: 154-27=127, Resulting Numbers: [127] 127,66 unequal: No Solution Moving to Node #0,13 Current State: 66:[22, 49, 154], Operations: ['14*11=154'] Exploring Operation: 22+154=176, Resulting Numbers: [49, 176] Generated Node #0,13,5: 66:[49, 176] Operation: 22+154=176 Moving to Node #0,13,5 Current State: 66:[49, 176], Operations: ['14*11=154', '22+154=176'] Exploring Operation: 176-49=127, Resulting Numbers: [127] 127,66 unequal: No Solution
0
dfs
Current State: 66:[22, 14, 49, 11], Operations: [] Exploring Operation: 22*49=1078, Resulting Numbers: [14, 11, 1078] Generated Node #2: [14, 11, 1078] from Operation: 22*49=1078 Current State: 66:[14, 11, 1078], Operations: ['22*49=1078'] Exploring Operation: 1078/14=77, Resulting Numbers: [11, 77] Generated Node #3: [11, 77] from Operation: 1078/14=77 Current State: 66:[11, 77], Operations: ['22*49=1078', '1078/14=77'] Exploring Operation: 77-11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
sum_heuristic
[ { "content": "Make 66 with the numbers [22, 14, 49, 11] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 22+14=36, Resulting Numbers: [49, 11, 36]\nGenerated Node #0,0: 66:[49, 11, 36] Operation: 22+14=36\nMoving to Node #0,0\nCurrent State: 66:[49, 11, 36], Operations: ['22+14=36']\nExploring Operation: 49+11=60, Resulting Numbers: [36, 60]\nGenerated Node #0,0,0: 66:[36, 60] Operation: 49+11=60\nMoving to Node #0,0,0\nCurrent State: 66:[36, 60], Operations: ['22+14=36', '49+11=60']\nExploring Operation: 36+60=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 66:[36, 60], Operations: ['22+14=36', '49+11=60']\nExploring Operation: 60-36=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[49, 11, 36], Operations: ['22+14=36']\nExploring Operation: 11+36=47, Resulting Numbers: [49, 47]\nGenerated Node #0,0,1: 66:[49, 47] Operation: 11+36=47\nMoving to Node #0,0,1\nCurrent State: 66:[49, 47], Operations: ['22+14=36', '11+36=47']\nExploring Operation: 49+47=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 66:[49, 47], Operations: ['22+14=36', '11+36=47']\nExploring Operation: 49-47=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[49, 11, 36], Operations: ['22+14=36']\nExploring Operation: 49-11=38, Resulting Numbers: [36, 38]\nGenerated Node #0,0,2: 66:[36, 38] Operation: 49-11=38\nMoving to Node #0,0,2\nCurrent State: 66:[36, 38], Operations: ['22+14=36', '49-11=38']\nExploring Operation: 36+38=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 66:[36, 38], Operations: ['22+14=36', '49-11=38']\nExploring Operation: 38-36=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[49, 11, 36], Operations: ['22+14=36']\nExploring Operation: 36-11=25, Resulting Numbers: [49, 25]\nGenerated Node #0,0,3: 66:[49, 25] Operation: 36-11=25\nMoving to Node #0,0,3\nCurrent State: 66:[49, 25], Operations: ['22+14=36', '36-11=25']\nExploring Operation: 49+25=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 66:[49, 25], Operations: ['22+14=36', '36-11=25']\nExploring Operation: 49-25=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[49, 11, 36], Operations: ['22+14=36']\nExploring Operation: 49+36=85, Resulting Numbers: [11, 85]\nGenerated Node #0,0,4: 66:[11, 85] Operation: 49+36=85\nMoving to Node #0,0,4\nCurrent State: 66:[11, 85], Operations: ['22+14=36', '49+36=85']\nExploring Operation: 85-11=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 66:[11, 85], Operations: ['22+14=36', '49+36=85']\nExploring Operation: 11+85=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 66:[49, 11, 36], Operations: ['22+14=36']\nExploring Operation: 49-36=13, Resulting Numbers: [11, 13]\nGenerated Node #0,0,5: 66:[11, 13] Operation: 49-36=13\nMoving to Node #0,0,5\nCurrent State: 66:[11, 13], Operations: ['22+14=36', '49-36=13']\nExploring Operation: 11+13=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 66:[11, 13], Operations: ['22+14=36', '49-36=13']\nExploring Operation: 13-11=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 22+11=33, Resulting Numbers: [14, 49, 33]\nGenerated Node #0,1: 66:[14, 49, 33] Operation: 22+11=33\nMoving to Node #0,1\nCurrent State: 66:[14, 49, 33], Operations: ['22+11=33']\nExploring Operation: 14+49=63, Resulting Numbers: [33, 63]\nGenerated Node #0,1,0: 66:[33, 63] Operation: 14+49=63\nMoving to Node #0,1,0\nCurrent State: 66:[33, 63], Operations: ['22+11=33', '14+49=63']\nExploring Operation: 33+63=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 66:[33, 63], Operations: ['22+11=33', '14+49=63']\nExploring Operation: 63-33=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[14, 49, 33], Operations: ['22+11=33']\nExploring Operation: 14+33=47, Resulting Numbers: [49, 47]\nGenerated Node #0,1,1: 66:[49, 47] Operation: 14+33=47\nMoving to Node #0,1,1\nCurrent State: 66:[49, 47], Operations: ['22+11=33', '14+33=47']\nExploring Operation: 49+47=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 66:[49, 47], Operations: ['22+11=33', '14+33=47']\nExploring Operation: 49-47=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[14, 49, 33], Operations: ['22+11=33']\nExploring Operation: 49-14=35, Resulting Numbers: [33, 35]\nGenerated Node #0,1,2: 66:[33, 35] Operation: 49-14=35\nMoving to Node #0,1,2\nCurrent State: 66:[33, 35], Operations: ['22+11=33', '49-14=35']\nExploring Operation: 33+35=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 66:[33, 35], Operations: ['22+11=33', '49-14=35']\nExploring Operation: 35-33=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[14, 49, 33], Operations: ['22+11=33']\nExploring Operation: 33-14=19, Resulting Numbers: [49, 19]\nGenerated Node #0,1,3: 66:[49, 19] Operation: 33-14=19\nMoving to Node #0,1,3\nCurrent State: 66:[49, 19], Operations: ['22+11=33', '33-14=19']\nExploring Operation: 49+19=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 66:[49, 19], Operations: ['22+11=33', '33-14=19']\nExploring Operation: 49-19=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[14, 49, 33], Operations: ['22+11=33']\nExploring Operation: 49+33=82, Resulting Numbers: [14, 82]\nGenerated Node #0,1,4: 66:[14, 82] Operation: 49+33=82\nMoving to Node #0,1,4\nCurrent State: 66:[14, 82], Operations: ['22+11=33', '49+33=82']\nExploring Operation: 82-14=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 66:[14, 82], Operations: ['22+11=33', '49+33=82']\nExploring Operation: 14+82=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 66:[14, 49, 33], Operations: ['22+11=33']\nExploring Operation: 49-33=16, Resulting Numbers: [14, 16]\nGenerated Node #0,1,5: 66:[14, 16] Operation: 49-33=16\nMoving to Node #0,1,5\nCurrent State: 66:[14, 16], Operations: ['22+11=33', '49-33=16']\nExploring Operation: 14+16=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 66:[14, 16], Operations: ['22+11=33', '49-33=16']\nExploring Operation: 16-14=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 14+49=63, Resulting Numbers: [22, 11, 63]\nGenerated Node #0,2: 66:[22, 11, 63] Operation: 14+49=63\nMoving to Node #0,2\nCurrent State: 66:[22, 11, 63], Operations: ['14+49=63']\nExploring Operation: 22+11=33, Resulting Numbers: [63, 33]\nGenerated Node #0,2,0: 66:[63, 33] Operation: 22+11=33\nMoving to Node #0,2,0\nCurrent State: 66:[63, 33], Operations: ['14+49=63', '22+11=33']\nExploring Operation: 63+33=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 66:[63, 33], Operations: ['14+49=63', '22+11=33']\nExploring Operation: 63-33=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[22, 11, 63], Operations: ['14+49=63']\nExploring Operation: 11+63=74, Resulting Numbers: [22, 74]\nGenerated Node #0,2,1: 66:[22, 74] Operation: 11+63=74\nMoving to Node #0,2,1\nCurrent State: 66:[22, 74], Operations: ['14+49=63', '11+63=74']\nExploring Operation: 74-22=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 66:[22, 74], Operations: ['14+49=63', '11+63=74']\nExploring Operation: 22+74=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[22, 11, 63], Operations: ['14+49=63']\nExploring Operation: 22-11=11, Resulting Numbers: [63, 11]\nGenerated Node #0,2,2: 66:[63, 11] Operation: 22-11=11\nMoving to Node #0,2,2\nCurrent State: 66:[63, 11], Operations: ['14+49=63', '22-11=11']\nExploring Operation: 63+11=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 66:[63, 11], Operations: ['14+49=63', '22-11=11']\nExploring Operation: 63-11=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[22, 11, 63], Operations: ['14+49=63']\nExploring Operation: 63-11=52, Resulting Numbers: [22, 52]\nGenerated Node #0,2,3: 66:[22, 52] Operation: 63-11=52\nMoving to Node #0,2,3\nCurrent State: 66:[22, 52], Operations: ['14+49=63', '63-11=52']\nExploring Operation: 22+52=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 66:[22, 52], Operations: ['14+49=63', '63-11=52']\nExploring Operation: 52-22=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[22, 11, 63], Operations: ['14+49=63']\nExploring Operation: 22/11=2, Resulting Numbers: [63, 2]\nGenerated Node #0,2,4: 66:[63, 2] Operation: 22/11=2\nMoving to Node #0,2,4\nCurrent State: 66:[63, 2], Operations: ['14+49=63', '22/11=2']\nExploring Operation: 63+2=65, Resulting Numbers: [65]\n65,66 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 66:[63, 2], Operations: ['14+49=63', '22/11=2']\nExploring Operation: 63-2=61, Resulting Numbers: [61]\n61,66 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 66:[63, 2], Operations: ['14+49=63', '22/11=2']\nExploring Operation: 63*2=126, Resulting Numbers: [126]\n126,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[22, 11, 63], Operations: ['14+49=63']\nExploring Operation: 22+63=85, Resulting Numbers: [11, 85]\nGenerated Node #0,2,5: 66:[11, 85] Operation: 22+63=85\nMoving to Node #0,2,5\nCurrent State: 66:[11, 85], Operations: ['14+49=63', '22+63=85']\nExploring Operation: 85-11=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 66:[11, 85], Operations: ['14+49=63', '22+63=85']\nExploring Operation: 11+85=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 66:[22, 11, 63], Operations: ['14+49=63']\nExploring Operation: 63-22=41, Resulting Numbers: [11, 41]\nGenerated Node #0,2,6: 66:[11, 41] Operation: 63-22=41\nMoving to Node #0,2,6\nCurrent State: 66:[11, 41], Operations: ['14+49=63', '63-22=41']\nExploring Operation: 11+41=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,2,6\nCurrent State: 66:[11, 41], Operations: ['14+49=63', '63-22=41']\nExploring Operation: 41-11=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 14+11=25, Resulting Numbers: [22, 49, 25]\nGenerated Node #0,3: 66:[22, 49, 25] Operation: 14+11=25\nMoving to Node #0,3\nCurrent State: 66:[22, 49, 25], Operations: ['14+11=25']\nExploring Operation: 22+25=47, Resulting Numbers: [49, 47]\nGenerated Node #0,3,0: 66:[49, 47] Operation: 22+25=47\nMoving to Node #0,3,0\nCurrent State: 66:[49, 47], Operations: ['14+11=25', '22+25=47']\nExploring Operation: 49+47=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 66:[49, 47], Operations: ['14+11=25', '22+25=47']\nExploring Operation: 49-47=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[22, 49, 25], Operations: ['14+11=25']\nExploring Operation: 22+49=71, Resulting Numbers: [25, 71]\nGenerated Node #0,3,1: 66:[25, 71] Operation: 22+49=71\nMoving to Node #0,3,1\nCurrent State: 66:[25, 71], Operations: ['14+11=25', '22+49=71']\nExploring Operation: 71-25=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 66:[25, 71], Operations: ['14+11=25', '22+49=71']\nExploring Operation: 25+71=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[22, 49, 25], Operations: ['14+11=25']\nExploring Operation: 49+25=74, Resulting Numbers: [22, 74]\nGenerated Node #0,3,2: 66:[22, 74] Operation: 49+25=74\nMoving to Node #0,3,2\nCurrent State: 66:[22, 74], Operations: ['14+11=25', '49+25=74']\nExploring Operation: 74-22=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 66:[22, 74], Operations: ['14+11=25', '49+25=74']\nExploring Operation: 22+74=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[22, 49, 25], Operations: ['14+11=25']\nExploring Operation: 49-22=27, Resulting Numbers: [25, 27]\nGenerated Node #0,3,3: 66:[25, 27] Operation: 49-22=27\nMoving to Node #0,3,3\nCurrent State: 66:[25, 27], Operations: ['14+11=25', '49-22=27']\nExploring Operation: 25+27=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 66:[25, 27], Operations: ['14+11=25', '49-22=27']\nExploring Operation: 27-25=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[22, 49, 25], Operations: ['14+11=25']\nExploring Operation: 25-22=3, Resulting Numbers: [49, 3]\nGenerated Node #0,3,4: 66:[49, 3] Operation: 25-22=3\nMoving to Node #0,3,4\nCurrent State: 66:[49, 3], Operations: ['14+11=25', '25-22=3']\nExploring Operation: 49+3=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 66:[49, 3], Operations: ['14+11=25', '25-22=3']\nExploring Operation: 49-3=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 66:[22, 49, 25], Operations: ['14+11=25']\nExploring Operation: 49-25=24, Resulting Numbers: [22, 24]\nGenerated Node #0,3,5: 66:[22, 24] Operation: 49-25=24\nMoving to Node #0,3,5\nCurrent State: 66:[22, 24], Operations: ['14+11=25', '49-25=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 66:[22, 24], Operations: ['14+11=25', '49-25=24']\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 49+11=60, Resulting Numbers: [22, 14, 60]\nGenerated Node #0,4: 66:[22, 14, 60] Operation: 49+11=60\nMoving to Node #0,4\nCurrent State: 66:[22, 14, 60], Operations: ['49+11=60']\nExploring Operation: 22+14=36, Resulting Numbers: [60, 36]\nGenerated Node #0,4,0: 66:[60, 36] Operation: 22+14=36\nMoving to Node #0,4,0\nCurrent State: 66:[60, 36], Operations: ['49+11=60', '22+14=36']\nExploring Operation: 60+36=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 66:[60, 36], Operations: ['49+11=60', '22+14=36']\nExploring Operation: 60-36=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[22, 14, 60], Operations: ['49+11=60']\nExploring Operation: 14+60=74, Resulting Numbers: [22, 74]\nGenerated Node #0,4,1: 66:[22, 74] Operation: 14+60=74\nMoving to Node #0,4,1\nCurrent State: 66:[22, 74], Operations: ['49+11=60', '14+60=74']\nExploring Operation: 74-22=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 66:[22, 74], Operations: ['49+11=60', '14+60=74']\nExploring Operation: 22+74=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[22, 14, 60], Operations: ['49+11=60']\nExploring Operation: 22-14=8, Resulting Numbers: [60, 8]\nGenerated Node #0,4,2: 66:[60, 8] Operation: 22-14=8\nMoving to Node #0,4,2\nCurrent State: 66:[60, 8], Operations: ['49+11=60', '22-14=8']\nExploring Operation: 60+8=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 66:[60, 8], Operations: ['49+11=60', '22-14=8']\nExploring Operation: 60-8=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[22, 14, 60], Operations: ['49+11=60']\nExploring Operation: 60-14=46, Resulting Numbers: [22, 46]\nGenerated Node #0,4,3: 66:[22, 46] Operation: 60-14=46\nMoving to Node #0,4,3\nCurrent State: 66:[22, 46], Operations: ['49+11=60', '60-14=46']\nExploring Operation: 22+46=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 66:[22, 46], Operations: ['49+11=60', '60-14=46']\nExploring Operation: 46-22=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[22, 14, 60], Operations: ['49+11=60']\nExploring Operation: 22+60=82, Resulting Numbers: [14, 82]\nGenerated Node #0,4,4: 66:[14, 82] Operation: 22+60=82\nMoving to Node #0,4,4\nCurrent State: 66:[14, 82], Operations: ['49+11=60', '22+60=82']\nExploring Operation: 82-14=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 66:[14, 82], Operations: ['49+11=60', '22+60=82']\nExploring Operation: 14+82=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 66:[22, 14, 60], Operations: ['49+11=60']\nExploring Operation: 60-22=38, Resulting Numbers: [14, 38]\nGenerated Node #0,4,5: 66:[14, 38] Operation: 60-22=38\nMoving to Node #0,4,5\nCurrent State: 66:[14, 38], Operations: ['49+11=60', '60-22=38']\nExploring Operation: 14+38=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 66:[14, 38], Operations: ['49+11=60', '60-22=38']\nExploring Operation: 38-14=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 22+49=71, Resulting Numbers: [14, 11, 71]\nGenerated Node #0,5: 66:[14, 11, 71] Operation: 22+49=71\nMoving to Node #0,5\nCurrent State: 66:[14, 11, 71], Operations: ['22+49=71']\nExploring Operation: 14+11=25, Resulting Numbers: [71, 25]\nGenerated Node #0,5,0: 66:[71, 25] Operation: 14+11=25\nMoving to Node #0,5,0\nCurrent State: 66:[71, 25], Operations: ['22+49=71', '14+11=25']\nExploring Operation: 71-25=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 66:[71, 25], Operations: ['22+49=71', '14+11=25']\nExploring Operation: 71+25=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[14, 11, 71], Operations: ['22+49=71']\nExploring Operation: 71-11=60, Resulting Numbers: [14, 60]\nGenerated Node #0,5,1: 66:[14, 60] Operation: 71-11=60\nMoving to Node #0,5,1\nCurrent State: 66:[14, 60], Operations: ['22+49=71', '71-11=60']\nExploring Operation: 14+60=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 66:[14, 60], Operations: ['22+49=71', '71-11=60']\nExploring Operation: 60-14=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[14, 11, 71], Operations: ['22+49=71']\nExploring Operation: 71-14=57, Resulting Numbers: [11, 57]\nGenerated Node #0,5,2: 66:[11, 57] Operation: 71-14=57\nMoving to Node #0,5,2\nCurrent State: 66:[11, 57], Operations: ['22+49=71', '71-14=57']\nExploring Operation: 11+57=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 66:[11, 57], Operations: ['22+49=71', '71-14=57']\nExploring Operation: 57-11=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[14, 11, 71], Operations: ['22+49=71']\nExploring Operation: 14-11=3, Resulting Numbers: [71, 3]\nGenerated Node #0,5,3: 66:[71, 3] Operation: 14-11=3\nMoving to Node #0,5,3\nCurrent State: 66:[71, 3], Operations: ['22+49=71', '14-11=3']\nExploring Operation: 71-3=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 66:[71, 3], Operations: ['22+49=71', '14-11=3']\nExploring Operation: 71+3=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[14, 11, 71], Operations: ['22+49=71']\nExploring Operation: 11+71=82, Resulting Numbers: [14, 82]\nGenerated Node #0,5,4: 66:[14, 82] Operation: 11+71=82\nMoving to Node #0,5,4\nCurrent State: 66:[14, 82], Operations: ['22+49=71', '11+71=82']\nExploring Operation: 82-14=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 66:[14, 82], Operations: ['22+49=71', '11+71=82']\nExploring Operation: 14+82=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[14, 11, 71], Operations: ['22+49=71']\nExploring Operation: 14+71=85, Resulting Numbers: [11, 85]\nGenerated Node #0,5,5: 66:[11, 85] Operation: 14+71=85\nMoving to Node #0,5,5\nCurrent State: 66:[11, 85], Operations: ['22+49=71', '14+71=85']\nExploring Operation: 85-11=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,5,5\nCurrent State: 66:[11, 85], Operations: ['22+49=71', '14+71=85']\nExploring Operation: 11+85=96, Resulting Numbers: [96]\n96,66 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 66:[14, 11, 71], Operations: ['22+49=71']\nExploring Operation: 14*11=154, Resulting Numbers: [71, 154]\nGenerated Node #0,5,6: 66:[71, 154] Operation: 14*11=154\nMoving to Node #0,5,6\nCurrent State: 66:[71, 154], Operations: ['22+49=71', '14*11=154']\nExploring Operation: 154-71=83, Resulting Numbers: [83]\n83,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 22-11=11, Resulting Numbers: [14, 49, 11]\nGenerated Node #0,6: 66:[14, 49, 11] Operation: 22-11=11\nMoving to Node #0,6\nCurrent State: 66:[14, 49, 11], Operations: ['22-11=11']\nExploring Operation: 14+49=63, Resulting Numbers: [11, 63]\nGenerated Node #0,6,0: 66:[11, 63] Operation: 14+49=63\nMoving to Node #0,6,0\nCurrent State: 66:[11, 63], Operations: ['22-11=11', '14+49=63']\nExploring Operation: 11+63=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 66:[11, 63], Operations: ['22-11=11', '14+49=63']\nExploring Operation: 63-11=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[14, 49, 11], Operations: ['22-11=11']\nExploring Operation: 14+11=25, Resulting Numbers: [49, 25]\nGenerated Node #0,6,1: 66:[49, 25] Operation: 14+11=25\nMoving to Node #0,6,1\nCurrent State: 66:[49, 25], Operations: ['22-11=11', '14+11=25']\nExploring Operation: 49+25=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 66:[49, 25], Operations: ['22-11=11', '14+11=25']\nExploring Operation: 49-25=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[14, 49, 11], Operations: ['22-11=11']\nExploring Operation: 49+11=60, Resulting Numbers: [14, 60]\nGenerated Node #0,6,2: 66:[14, 60] Operation: 49+11=60\nMoving to Node #0,6,2\nCurrent State: 66:[14, 60], Operations: ['22-11=11', '49+11=60']\nExploring Operation: 14+60=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 66:[14, 60], Operations: ['22-11=11', '49+11=60']\nExploring Operation: 60-14=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[14, 49, 11], Operations: ['22-11=11']\nExploring Operation: 14-11=3, Resulting Numbers: [49, 3]\nGenerated Node #0,6,3: 66:[49, 3] Operation: 14-11=3\nMoving to Node #0,6,3\nCurrent State: 66:[49, 3], Operations: ['22-11=11', '14-11=3']\nExploring Operation: 49+3=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 66:[49, 3], Operations: ['22-11=11', '14-11=3']\nExploring Operation: 49-3=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[14, 49, 11], Operations: ['22-11=11']\nExploring Operation: 49-11=38, Resulting Numbers: [14, 38]\nGenerated Node #0,6,4: 66:[14, 38] Operation: 49-11=38\nMoving to Node #0,6,4\nCurrent State: 66:[14, 38], Operations: ['22-11=11', '49-11=38']\nExploring Operation: 14+38=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 66:[14, 38], Operations: ['22-11=11', '49-11=38']\nExploring Operation: 38-14=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[14, 49, 11], Operations: ['22-11=11']\nExploring Operation: 49-14=35, Resulting Numbers: [11, 35]\nGenerated Node #0,6,5: 66:[11, 35] Operation: 49-14=35\nMoving to Node #0,6,5\nCurrent State: 66:[11, 35], Operations: ['22-11=11', '49-14=35']\nExploring Operation: 11+35=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 66:[11, 35], Operations: ['22-11=11', '49-14=35']\nExploring Operation: 35-11=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 66:[14, 49, 11], Operations: ['22-11=11']\nExploring Operation: 14*11=154, Resulting Numbers: [49, 154]\nGenerated Node #0,6,6: 66:[49, 154] Operation: 14*11=154\nMoving to Node #0,6,6\nCurrent State: 66:[49, 154], Operations: ['22-11=11', '14*11=154']\nExploring Operation: 154-49=105, Resulting Numbers: [105]\n105,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 14-11=3, Resulting Numbers: [22, 49, 3]\nGenerated Node #0,7: 66:[22, 49, 3] Operation: 14-11=3\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 22*3=66, Resulting Numbers: [49, 66]\nGenerated Node #0,7,0: 66:[49, 66] Operation: 22*3=66\nMoving to Node #0,7,0\nCurrent State: 66:[49, 66], Operations: ['14-11=3', '22*3=66']\nExploring Operation: 49+66=115, Resulting Numbers: [115]\n115,66 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 66:[49, 66], Operations: ['14-11=3', '22*3=66']\nExploring Operation: 66-49=17, Resulting Numbers: [17]\n17,66 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 22+3=25, Resulting Numbers: [49, 25]\nGenerated Node #0,7,1: 66:[49, 25] Operation: 22+3=25\nMoving to Node #0,7,1\nCurrent State: 66:[49, 25], Operations: ['14-11=3', '22+3=25']\nExploring Operation: 49+25=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 66:[49, 25], Operations: ['14-11=3', '22+3=25']\nExploring Operation: 49-25=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 49+3=52, Resulting Numbers: [22, 52]\nGenerated Node #0,7,2: 66:[22, 52] Operation: 49+3=52\nMoving to Node #0,7,2\nCurrent State: 66:[22, 52], Operations: ['14-11=3', '49+3=52']\nExploring Operation: 22+52=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 66:[22, 52], Operations: ['14-11=3', '49+3=52']\nExploring Operation: 52-22=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 22-3=19, Resulting Numbers: [49, 19]\nGenerated Node #0,7,3: 66:[49, 19] Operation: 22-3=19\nMoving to Node #0,7,3\nCurrent State: 66:[49, 19], Operations: ['14-11=3', '22-3=19']\nExploring Operation: 49+19=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 66:[49, 19], Operations: ['14-11=3', '22-3=19']\nExploring Operation: 49-19=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 49-3=46, Resulting Numbers: [22, 46]\nGenerated Node #0,7,4: 66:[22, 46] Operation: 49-3=46\nMoving to Node #0,7,4\nCurrent State: 66:[22, 46], Operations: ['14-11=3', '49-3=46']\nExploring Operation: 22+46=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 66:[22, 46], Operations: ['14-11=3', '49-3=46']\nExploring Operation: 46-22=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 22+49=71, Resulting Numbers: [3, 71]\nGenerated Node #0,7,5: 66:[3, 71] Operation: 22+49=71\nMoving to Node #0,7,5\nCurrent State: 66:[3, 71], Operations: ['14-11=3', '22+49=71']\nExploring Operation: 71-3=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 66:[3, 71], Operations: ['14-11=3', '22+49=71']\nExploring Operation: 3+71=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 49-22=27, Resulting Numbers: [3, 27]\nGenerated Node #0,7,6: 66:[3, 27] Operation: 49-22=27\nMoving to Node #0,7,6\nCurrent State: 66:[3, 27], Operations: ['14-11=3', '49-22=27']\nExploring Operation: 3*27=81, Resulting Numbers: [81]\n81,66 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 66:[3, 27], Operations: ['14-11=3', '49-22=27']\nExploring Operation: 3+27=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 66:[3, 27], Operations: ['14-11=3', '49-22=27']\nExploring Operation: 27-3=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 66:[3, 27], Operations: ['14-11=3', '49-22=27']\nExploring Operation: 27/3=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 66:[22, 49, 3], Operations: ['14-11=3']\nExploring Operation: 49*3=147, Resulting Numbers: [22, 147]\nGenerated Node #0,7,7: 66:[22, 147] Operation: 49*3=147\nMoving to Node #0,7,7\nCurrent State: 66:[22, 147], Operations: ['14-11=3', '49*3=147']\nExploring Operation: 147-22=125, Resulting Numbers: [125]\n125,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 49-11=38, Resulting Numbers: [22, 14, 38]\nGenerated Node #0,8: 66:[22, 14, 38] Operation: 49-11=38\nMoving to Node #0,8\nCurrent State: 66:[22, 14, 38], Operations: ['49-11=38']\nExploring Operation: 22+14=36, Resulting Numbers: [38, 36]\nGenerated Node #0,8,0: 66:[38, 36] Operation: 22+14=36\nMoving to Node #0,8,0\nCurrent State: 66:[38, 36], Operations: ['49-11=38', '22+14=36']\nExploring Operation: 38+36=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 66:[38, 36], Operations: ['49-11=38', '22+14=36']\nExploring Operation: 38-36=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 66:[22, 14, 38], Operations: ['49-11=38']\nExploring Operation: 22+38=60, Resulting Numbers: [14, 60]\nGenerated Node #0,8,1: 66:[14, 60] Operation: 22+38=60\nMoving to Node #0,8,1\nCurrent State: 66:[14, 60], Operations: ['49-11=38', '22+38=60']\nExploring Operation: 14+60=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 66:[14, 60], Operations: ['49-11=38', '22+38=60']\nExploring Operation: 60-14=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 66:[22, 14, 38], Operations: ['49-11=38']\nExploring Operation: 14+38=52, Resulting Numbers: [22, 52]\nGenerated Node #0,8,2: 66:[22, 52] Operation: 14+38=52\nMoving to Node #0,8,2\nCurrent State: 66:[22, 52], Operations: ['49-11=38', '14+38=52']\nExploring Operation: 22+52=74, Resulting Numbers: [74]\n74,66 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 66:[22, 52], Operations: ['49-11=38', '14+38=52']\nExploring Operation: 52-22=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 66:[22, 14, 38], Operations: ['49-11=38']\nExploring Operation: 22-14=8, Resulting Numbers: [38, 8]\nGenerated Node #0,8,3: 66:[38, 8] Operation: 22-14=8\nMoving to Node #0,8,3\nCurrent State: 66:[38, 8], Operations: ['49-11=38', '22-14=8']\nExploring Operation: 38+8=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 66:[38, 8], Operations: ['49-11=38', '22-14=8']\nExploring Operation: 38-8=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 66:[22, 14, 38], Operations: ['49-11=38']\nExploring Operation: 38-14=24, Resulting Numbers: [22, 24]\nGenerated Node #0,8,4: 66:[22, 24] Operation: 38-14=24\nMoving to Node #0,8,4\nCurrent State: 66:[22, 24], Operations: ['49-11=38', '38-14=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 66:[22, 24], Operations: ['49-11=38', '38-14=24']\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 66:[22, 14, 38], Operations: ['49-11=38']\nExploring Operation: 38-22=16, Resulting Numbers: [14, 16]\nGenerated Node #0,8,5: 66:[14, 16] Operation: 38-22=16\nMoving to Node #0,8,5\nCurrent State: 66:[14, 16], Operations: ['49-11=38', '38-22=16']\nExploring Operation: 14+16=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 66:[14, 16], Operations: ['49-11=38', '38-22=16']\nExploring Operation: 16-14=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 22-14=8, Resulting Numbers: [49, 11, 8]\nGenerated Node #0,9: 66:[49, 11, 8] Operation: 22-14=8\nMoving to Node #0,9\nCurrent State: 66:[49, 11, 8], Operations: ['22-14=8']\nExploring Operation: 11*8=88, Resulting Numbers: [49, 88]\nGenerated Node #0,9,0: 66:[49, 88] Operation: 11*8=88\nMoving to Node #0,9,0\nCurrent State: 66:[49, 88], Operations: ['22-14=8', '11*8=88']\nExploring Operation: 88-49=39, Resulting Numbers: [39]\n39,66 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 66:[49, 11, 8], Operations: ['22-14=8']\nExploring Operation: 49+11=60, Resulting Numbers: [8, 60]\nGenerated Node #0,9,1: 66:[8, 60] Operation: 49+11=60\nMoving to Node #0,9,1\nCurrent State: 66:[8, 60], Operations: ['22-14=8', '49+11=60']\nExploring Operation: 8+60=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 66:[8, 60], Operations: ['22-14=8', '49+11=60']\nExploring Operation: 60-8=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 66:[49, 11, 8], Operations: ['22-14=8']\nExploring Operation: 49+8=57, Resulting Numbers: [11, 57]\nGenerated Node #0,9,2: 66:[11, 57] Operation: 49+8=57\nMoving to Node #0,9,2\nCurrent State: 66:[11, 57], Operations: ['22-14=8', '49+8=57']\nExploring Operation: 11+57=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,9,2\nCurrent State: 66:[11, 57], Operations: ['22-14=8', '49+8=57']\nExploring Operation: 57-11=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 66:[49, 11, 8], Operations: ['22-14=8']\nExploring Operation: 11+8=19, Resulting Numbers: [49, 19]\nGenerated Node #0,9,3: 66:[49, 19] Operation: 11+8=19\nMoving to Node #0,9,3\nCurrent State: 66:[49, 19], Operations: ['22-14=8', '11+8=19']\nExploring Operation: 49+19=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 66:[49, 19], Operations: ['22-14=8', '11+8=19']\nExploring Operation: 49-19=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 66:[49, 11, 8], Operations: ['22-14=8']\nExploring Operation: 49-8=41, Resulting Numbers: [11, 41]\nGenerated Node #0,9,4: 66:[11, 41] Operation: 49-8=41\nMoving to Node #0,9,4\nCurrent State: 66:[11, 41], Operations: ['22-14=8', '49-8=41']\nExploring Operation: 11+41=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 66:[11, 41], Operations: ['22-14=8', '49-8=41']\nExploring Operation: 41-11=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 66:[49, 11, 8], Operations: ['22-14=8']\nExploring Operation: 11-8=3, Resulting Numbers: [49, 3]\nGenerated Node #0,9,5: 66:[49, 3] Operation: 11-8=3\nMoving to Node #0,9,5\nCurrent State: 66:[49, 3], Operations: ['22-14=8', '11-8=3']\nExploring Operation: 49+3=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,9,5\nCurrent State: 66:[49, 3], Operations: ['22-14=8', '11-8=3']\nExploring Operation: 49-3=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 66:[49, 11, 8], Operations: ['22-14=8']\nExploring Operation: 49-11=38, Resulting Numbers: [8, 38]\nGenerated Node #0,9,6: 66:[8, 38] Operation: 49-11=38\nMoving to Node #0,9,6\nCurrent State: 66:[8, 38], Operations: ['22-14=8', '49-11=38']\nExploring Operation: 8+38=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,9,6\nCurrent State: 66:[8, 38], Operations: ['22-14=8', '49-11=38']\nExploring Operation: 38-8=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 49-14=35, Resulting Numbers: [22, 11, 35]\nGenerated Node #0,10: 66:[22, 11, 35] Operation: 49-14=35\nMoving to Node #0,10\nCurrent State: 66:[22, 11, 35], Operations: ['49-14=35']\nExploring Operation: 22+11=33, Resulting Numbers: [35, 33]\nGenerated Node #0,10,0: 66:[35, 33] Operation: 22+11=33\nMoving to Node #0,10,0\nCurrent State: 66:[35, 33], Operations: ['49-14=35', '22+11=33']\nExploring Operation: 35+33=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 66:[35, 33], Operations: ['49-14=35', '22+11=33']\nExploring Operation: 35-33=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 66:[22, 11, 35], Operations: ['49-14=35']\nExploring Operation: 22+35=57, Resulting Numbers: [11, 57]\nGenerated Node #0,10,1: 66:[11, 57] Operation: 22+35=57\nMoving to Node #0,10,1\nCurrent State: 66:[11, 57], Operations: ['49-14=35', '22+35=57']\nExploring Operation: 11+57=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,10,1\nCurrent State: 66:[11, 57], Operations: ['49-14=35', '22+35=57']\nExploring Operation: 57-11=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 66:[22, 11, 35], Operations: ['49-14=35']\nExploring Operation: 11+35=46, Resulting Numbers: [22, 46]\nGenerated Node #0,10,2: 66:[22, 46] Operation: 11+35=46\nMoving to Node #0,10,2\nCurrent State: 66:[22, 46], Operations: ['49-14=35', '11+35=46']\nExploring Operation: 22+46=68, Resulting Numbers: [68]\n68,66 unequal: No Solution\nMoving to Node #0,10,2\nCurrent State: 66:[22, 46], Operations: ['49-14=35', '11+35=46']\nExploring Operation: 46-22=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 66:[22, 11, 35], Operations: ['49-14=35']\nExploring Operation: 22-11=11, Resulting Numbers: [35, 11]\nGenerated Node #0,10,3: 66:[35, 11] Operation: 22-11=11\nMoving to Node #0,10,3\nCurrent State: 66:[35, 11], Operations: ['49-14=35', '22-11=11']\nExploring Operation: 35+11=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 66:[35, 11], Operations: ['49-14=35', '22-11=11']\nExploring Operation: 35-11=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 66:[22, 11, 35], Operations: ['49-14=35']\nExploring Operation: 35-11=24, Resulting Numbers: [22, 24]\nGenerated Node #0,10,4: 66:[22, 24] Operation: 35-11=24\nMoving to Node #0,10,4\nCurrent State: 66:[22, 24], Operations: ['49-14=35', '35-11=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,66 unequal: No Solution\nMoving to Node #0,10,4\nCurrent State: 66:[22, 24], Operations: ['49-14=35', '35-11=24']\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 66:[22, 11, 35], Operations: ['49-14=35']\nExploring Operation: 22/11=2, Resulting Numbers: [35, 2]\nGenerated Node #0,10,5: 66:[35, 2] Operation: 22/11=2\nMoving to Node #0,10,5\nCurrent State: 66:[35, 2], Operations: ['49-14=35', '22/11=2']\nExploring Operation: 35*2=70, Resulting Numbers: [70]\n70,66 unequal: No Solution\nMoving to Node #0,10,5\nCurrent State: 66:[35, 2], Operations: ['49-14=35', '22/11=2']\nExploring Operation: 35+2=37, Resulting Numbers: [37]\n37,66 unequal: No Solution\nMoving to Node #0,10,5\nCurrent State: 66:[35, 2], Operations: ['49-14=35', '22/11=2']\nExploring Operation: 35-2=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 66:[22, 11, 35], Operations: ['49-14=35']\nExploring Operation: 35-22=13, Resulting Numbers: [11, 13]\nGenerated Node #0,10,6: 66:[11, 13] Operation: 35-22=13\nMoving to Node #0,10,6\nCurrent State: 66:[11, 13], Operations: ['49-14=35', '35-22=13']\nExploring Operation: 11+13=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,10,6\nCurrent State: 66:[11, 13], Operations: ['49-14=35', '35-22=13']\nExploring Operation: 13-11=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 22/11=2, Resulting Numbers: [14, 49, 2]\nGenerated Node #0,11: 66:[14, 49, 2] Operation: 22/11=2\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 14*2=28, Resulting Numbers: [49, 28]\nGenerated Node #0,11,0: 66:[49, 28] Operation: 14*2=28\nMoving to Node #0,11,0\nCurrent State: 66:[49, 28], Operations: ['22/11=2', '14*2=28']\nExploring Operation: 49+28=77, Resulting Numbers: [77]\n77,66 unequal: No Solution\nMoving to Node #0,11,0\nCurrent State: 66:[49, 28], Operations: ['22/11=2', '14*2=28']\nExploring Operation: 49-28=21, Resulting Numbers: [21]\n21,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 14+49=63, Resulting Numbers: [2, 63]\nGenerated Node #0,11,1: 66:[2, 63] Operation: 14+49=63\nMoving to Node #0,11,1\nCurrent State: 66:[2, 63], Operations: ['22/11=2', '14+49=63']\nExploring Operation: 2+63=65, Resulting Numbers: [65]\n65,66 unequal: No Solution\nMoving to Node #0,11,1\nCurrent State: 66:[2, 63], Operations: ['22/11=2', '14+49=63']\nExploring Operation: 63-2=61, Resulting Numbers: [61]\n61,66 unequal: No Solution\nMoving to Node #0,11,1\nCurrent State: 66:[2, 63], Operations: ['22/11=2', '14+49=63']\nExploring Operation: 2*63=126, Resulting Numbers: [126]\n126,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 14+2=16, Resulting Numbers: [49, 16]\nGenerated Node #0,11,2: 66:[49, 16] Operation: 14+2=16\nMoving to Node #0,11,2\nCurrent State: 66:[49, 16], Operations: ['22/11=2', '14+2=16']\nExploring Operation: 49+16=65, Resulting Numbers: [65]\n65,66 unequal: No Solution\nMoving to Node #0,11,2\nCurrent State: 66:[49, 16], Operations: ['22/11=2', '14+2=16']\nExploring Operation: 49-16=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 49+2=51, Resulting Numbers: [14, 51]\nGenerated Node #0,11,3: 66:[14, 51] Operation: 49+2=51\nMoving to Node #0,11,3\nCurrent State: 66:[14, 51], Operations: ['22/11=2', '49+2=51']\nExploring Operation: 14+51=65, Resulting Numbers: [65]\n65,66 unequal: No Solution\nMoving to Node #0,11,3\nCurrent State: 66:[14, 51], Operations: ['22/11=2', '49+2=51']\nExploring Operation: 51-14=37, Resulting Numbers: [37]\n37,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 14-2=12, Resulting Numbers: [49, 12]\nGenerated Node #0,11,4: 66:[49, 12] Operation: 14-2=12\nMoving to Node #0,11,4\nCurrent State: 66:[49, 12], Operations: ['22/11=2', '14-2=12']\nExploring Operation: 49+12=61, Resulting Numbers: [61]\n61,66 unequal: No Solution\nMoving to Node #0,11,4\nCurrent State: 66:[49, 12], Operations: ['22/11=2', '14-2=12']\nExploring Operation: 49-12=37, Resulting Numbers: [37]\n37,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 49-2=47, Resulting Numbers: [14, 47]\nGenerated Node #0,11,5: 66:[14, 47] Operation: 49-2=47\nMoving to Node #0,11,5\nCurrent State: 66:[14, 47], Operations: ['22/11=2', '49-2=47']\nExploring Operation: 14+47=61, Resulting Numbers: [61]\n61,66 unequal: No Solution\nMoving to Node #0,11,5\nCurrent State: 66:[14, 47], Operations: ['22/11=2', '49-2=47']\nExploring Operation: 47-14=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 14/2=7, Resulting Numbers: [49, 7]\nGenerated Node #0,11,6: 66:[49, 7] Operation: 14/2=7\nMoving to Node #0,11,6\nCurrent State: 66:[49, 7], Operations: ['22/11=2', '14/2=7']\nExploring Operation: 49+7=56, Resulting Numbers: [56]\n56,66 unequal: No Solution\nMoving to Node #0,11,6\nCurrent State: 66:[49, 7], Operations: ['22/11=2', '14/2=7']\nExploring Operation: 49-7=42, Resulting Numbers: [42]\n42,66 unequal: No Solution\nMoving to Node #0,11,6\nCurrent State: 66:[49, 7], Operations: ['22/11=2', '14/2=7']\nExploring Operation: 49/7=7, Resulting Numbers: [7]\n7,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 49*2=98, Resulting Numbers: [14, 98]\nGenerated Node #0,11,7: 66:[14, 98] Operation: 49*2=98\nMoving to Node #0,11,7\nCurrent State: 66:[14, 98], Operations: ['22/11=2', '49*2=98']\nExploring Operation: 98-14=84, Resulting Numbers: [84]\n84,66 unequal: No Solution\nMoving to Node #0,11,7\nCurrent State: 66:[14, 98], Operations: ['22/11=2', '49*2=98']\nExploring Operation: 14+98=112, Resulting Numbers: [112]\n112,66 unequal: No Solution\nMoving to Node #0,11,7\nCurrent State: 66:[14, 98], Operations: ['22/11=2', '49*2=98']\nExploring Operation: 98/14=7, Resulting Numbers: [7]\n7,66 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 66:[14, 49, 2], Operations: ['22/11=2']\nExploring Operation: 49-14=35, Resulting Numbers: [2, 35]\nGenerated Node #0,11,8: 66:[2, 35] Operation: 49-14=35\nMoving to Node #0,11,8\nCurrent State: 66:[2, 35], Operations: ['22/11=2', '49-14=35']\nExploring Operation: 2*35=70, Resulting Numbers: [70]\n70,66 unequal: No Solution\nMoving to Node #0,11,8\nCurrent State: 66:[2, 35], Operations: ['22/11=2', '49-14=35']\nExploring Operation: 2+35=37, Resulting Numbers: [37]\n37,66 unequal: No Solution\nMoving to Node #0,11,8\nCurrent State: 66:[2, 35], Operations: ['22/11=2', '49-14=35']\nExploring Operation: 35-2=33, Resulting Numbers: [33]\n33,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 49-22=27, Resulting Numbers: [14, 11, 27]\nGenerated Node #0,12: 66:[14, 11, 27] Operation: 49-22=27\nMoving to Node #0,12\nCurrent State: 66:[14, 11, 27], Operations: ['49-22=27']\nExploring Operation: 14+11=25, Resulting Numbers: [27, 25]\nGenerated Node #0,12,0: 66:[27, 25] Operation: 14+11=25\nMoving to Node #0,12,0\nCurrent State: 66:[27, 25], Operations: ['49-22=27', '14+11=25']\nExploring Operation: 27+25=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,12,0\nCurrent State: 66:[27, 25], Operations: ['49-22=27', '14+11=25']\nExploring Operation: 27-25=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 66:[14, 11, 27], Operations: ['49-22=27']\nExploring Operation: 14+27=41, Resulting Numbers: [11, 41]\nGenerated Node #0,12,1: 66:[11, 41] Operation: 14+27=41\nMoving to Node #0,12,1\nCurrent State: 66:[11, 41], Operations: ['49-22=27', '14+27=41']\nExploring Operation: 11+41=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,12,1\nCurrent State: 66:[11, 41], Operations: ['49-22=27', '14+27=41']\nExploring Operation: 41-11=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 66:[14, 11, 27], Operations: ['49-22=27']\nExploring Operation: 11+27=38, Resulting Numbers: [14, 38]\nGenerated Node #0,12,2: 66:[14, 38] Operation: 11+27=38\nMoving to Node #0,12,2\nCurrent State: 66:[14, 38], Operations: ['49-22=27', '11+27=38']\nExploring Operation: 14+38=52, Resulting Numbers: [52]\n52,66 unequal: No Solution\nMoving to Node #0,12,2\nCurrent State: 66:[14, 38], Operations: ['49-22=27', '11+27=38']\nExploring Operation: 38-14=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 66:[14, 11, 27], Operations: ['49-22=27']\nExploring Operation: 14-11=3, Resulting Numbers: [27, 3]\nGenerated Node #0,12,3: 66:[27, 3] Operation: 14-11=3\nMoving to Node #0,12,3\nCurrent State: 66:[27, 3], Operations: ['49-22=27', '14-11=3']\nExploring Operation: 27*3=81, Resulting Numbers: [81]\n81,66 unequal: No Solution\nMoving to Node #0,12,3\nCurrent State: 66:[27, 3], Operations: ['49-22=27', '14-11=3']\nExploring Operation: 27+3=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,12,3\nCurrent State: 66:[27, 3], Operations: ['49-22=27', '14-11=3']\nExploring Operation: 27-3=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,12,3\nCurrent State: 66:[27, 3], Operations: ['49-22=27', '14-11=3']\nExploring Operation: 27/3=9, Resulting Numbers: [9]\n9,66 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 66:[14, 11, 27], Operations: ['49-22=27']\nExploring Operation: 27-11=16, Resulting Numbers: [14, 16]\nGenerated Node #0,12,4: 66:[14, 16] Operation: 27-11=16\nMoving to Node #0,12,4\nCurrent State: 66:[14, 16], Operations: ['49-22=27', '27-11=16']\nExploring Operation: 14+16=30, Resulting Numbers: [30]\n30,66 unequal: No Solution\nMoving to Node #0,12,4\nCurrent State: 66:[14, 16], Operations: ['49-22=27', '27-11=16']\nExploring Operation: 16-14=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 66:[14, 11, 27], Operations: ['49-22=27']\nExploring Operation: 27-14=13, Resulting Numbers: [11, 13]\nGenerated Node #0,12,5: 66:[11, 13] Operation: 27-14=13\nMoving to Node #0,12,5\nCurrent State: 66:[11, 13], Operations: ['49-22=27', '27-14=13']\nExploring Operation: 11+13=24, Resulting Numbers: [24]\n24,66 unequal: No Solution\nMoving to Node #0,12,5\nCurrent State: 66:[11, 13], Operations: ['49-22=27', '27-14=13']\nExploring Operation: 13-11=2, Resulting Numbers: [2]\n2,66 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 66:[14, 11, 27], Operations: ['49-22=27']\nExploring Operation: 14*11=154, Resulting Numbers: [27, 154]\nGenerated Node #0,12,6: 66:[27, 154] Operation: 14*11=154\nMoving to Node #0,12,6\nCurrent State: 66:[27, 154], Operations: ['49-22=27', '14*11=154']\nExploring Operation: 154-27=127, Resulting Numbers: [127]\n127,66 unequal: No Solution\nMoving to Node #0\nCurrent State: 66:[22, 14, 49, 11], Operations: []\nExploring Operation: 14*11=154, Resulting Numbers: [22, 49, 154]\nGenerated Node #0,13: 66:[22, 49, 154] Operation: 14*11=154\nMoving to Node #0,13\nCurrent State: 66:[22, 49, 154], Operations: ['14*11=154']\nExploring Operation: 154/22=7, Resulting Numbers: [49, 7]\nGenerated Node #0,13,0: 66:[49, 7] Operation: 154/22=7\nMoving to Node #0,13,0\nCurrent State: 66:[49, 7], Operations: ['14*11=154', '154/22=7']\nExploring Operation: 49+7=56, Resulting Numbers: [56]\n56,66 unequal: No Solution\nMoving to Node #0,13,0\nCurrent State: 66:[49, 7], Operations: ['14*11=154', '154/22=7']\nExploring Operation: 49-7=42, Resulting Numbers: [42]\n42,66 unequal: No Solution\nMoving to Node #0,13,0\nCurrent State: 66:[49, 7], Operations: ['14*11=154', '154/22=7']\nExploring Operation: 49/7=7, Resulting Numbers: [7]\n7,66 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 66:[22, 49, 154], Operations: ['14*11=154']\nExploring Operation: 154-22=132, Resulting Numbers: [49, 132]\nGenerated Node #0,13,1: 66:[49, 132] Operation: 154-22=132\nMoving to Node #0,13,1\nCurrent State: 66:[49, 132], Operations: ['14*11=154', '154-22=132']\nExploring Operation: 132-49=83, Resulting Numbers: [83]\n83,66 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 66:[22, 49, 154], Operations: ['14*11=154']\nExploring Operation: 154-49=105, Resulting Numbers: [22, 105]\nGenerated Node #0,13,2: 66:[22, 105] Operation: 154-49=105\nMoving to Node #0,13,2\nCurrent State: 66:[22, 105], Operations: ['14*11=154', '154-49=105']\nExploring Operation: 105-22=83, Resulting Numbers: [83]\n83,66 unequal: No Solution\nMoving to Node #0,13,2\nCurrent State: 66:[22, 105], Operations: ['14*11=154', '154-49=105']\nExploring Operation: 22+105=127, Resulting Numbers: [127]\n127,66 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 66:[22, 49, 154], Operations: ['14*11=154']\nExploring Operation: 22+49=71, Resulting Numbers: [154, 71]\nGenerated Node #0,13,3: 66:[154, 71] Operation: 22+49=71\nMoving to Node #0,13,3\nCurrent State: 66:[154, 71], Operations: ['14*11=154', '22+49=71']\nExploring Operation: 154-71=83, Resulting Numbers: [83]\n83,66 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 66:[22, 49, 154], Operations: ['14*11=154']\nExploring Operation: 49-22=27, Resulting Numbers: [154, 27]\nGenerated Node #0,13,4: 66:[154, 27] Operation: 49-22=27\nMoving to Node #0,13,4\nCurrent State: 66:[154, 27], Operations: ['14*11=154', '49-22=27']\nExploring Operation: 154-27=127, Resulting Numbers: [127]\n127,66 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 66:[22, 49, 154], Operations: ['14*11=154']\nExploring Operation: 22+154=176, Resulting Numbers: [49, 176]\nGenerated Node #0,13,5: 66:[49, 176] Operation: 22+154=176\nMoving to Node #0,13,5\nCurrent State: 66:[49, 176], Operations: ['14*11=154', '22+154=176']\nExploring Operation: 176-49=127, Resulting Numbers: [127]\n127,66 unequal: No Solution\n", "role": "assistant" } ]
[ 51, 61, 3, 90 ]
74
[ "90-51=39", "39/3=13", "61+13=74" ]
Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 51+3=54, Resulting Numbers: [61, 90, 54] Generated Node #0,0: 74:[61, 90, 54] Operation: 51+3=54 Moving to Node #0,0 Current State: 74:[61, 90, 54], Operations: ['51+3=54'] Exploring Operation: 90-54=36, Resulting Numbers: [61, 36] Generated Node #0,0,0: 74:[61, 36] Operation: 90-54=36 Moving to Node #0,0,0 Current State: 74:[61, 36], Operations: ['51+3=54', '90-54=36'] Exploring Operation: 61+36=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,0,0 Current State: 74:[61, 36], Operations: ['51+3=54', '90-54=36'] Exploring Operation: 61-36=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,0 Current State: 74:[61, 90, 54], Operations: ['51+3=54'] Exploring Operation: 61+54=115, Resulting Numbers: [90, 115] Generated Node #0,0,1: 74:[90, 115] Operation: 61+54=115 Moving to Node #0,0,1 Current State: 74:[90, 115], Operations: ['51+3=54', '61+54=115'] Exploring Operation: 115-90=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,0 Current State: 74:[61, 90, 54], Operations: ['51+3=54'] Exploring Operation: 90-61=29, Resulting Numbers: [54, 29] Generated Node #0,0,2: 74:[54, 29] Operation: 90-61=29 Moving to Node #0,0,2 Current State: 74:[54, 29], Operations: ['51+3=54', '90-61=29'] Exploring Operation: 54+29=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,0,2 Current State: 74:[54, 29], Operations: ['51+3=54', '90-61=29'] Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,0 Current State: 74:[61, 90, 54], Operations: ['51+3=54'] Exploring Operation: 61-54=7, Resulting Numbers: [90, 7] Generated Node #0,0,3: 74:[90, 7] Operation: 61-54=7 Moving to Node #0,0,3 Current State: 74:[90, 7], Operations: ['51+3=54', '61-54=7'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,0,3 Current State: 74:[90, 7], Operations: ['51+3=54', '61-54=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,0 Current State: 74:[61, 90, 54], Operations: ['51+3=54'] Exploring Operation: 90+54=144, Resulting Numbers: [61, 144] Generated Node #0,0,4: 74:[61, 144] Operation: 90+54=144 Moving to Node #0,0,4 Current State: 74:[61, 144], Operations: ['51+3=54', '90+54=144'] Exploring Operation: 144-61=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,0 Current State: 74:[61, 90, 54], Operations: ['51+3=54'] Exploring Operation: 61+90=151, Resulting Numbers: [54, 151] Generated Node #0,0,5: 74:[54, 151] Operation: 61+90=151 Moving to Node #0,0,5 Current State: 74:[54, 151], Operations: ['51+3=54', '61+90=151'] Exploring Operation: 151-54=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 61+3=64, Resulting Numbers: [51, 90, 64] Generated Node #0,1: 74:[51, 90, 64] Operation: 61+3=64 Moving to Node #0,1 Current State: 74:[51, 90, 64], Operations: ['61+3=64'] Exploring Operation: 90-51=39, Resulting Numbers: [64, 39] Generated Node #0,1,0: 74:[64, 39] Operation: 90-51=39 Moving to Node #0,1,0 Current State: 74:[64, 39], Operations: ['61+3=64', '90-51=39'] Exploring Operation: 64+39=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,1,0 Current State: 74:[64, 39], Operations: ['61+3=64', '90-51=39'] Exploring Operation: 64-39=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,1 Current State: 74:[51, 90, 64], Operations: ['61+3=64'] Exploring Operation: 51+64=115, Resulting Numbers: [90, 115] Generated Node #0,1,1: 74:[90, 115] Operation: 51+64=115 Moving to Node #0,1,1 Current State: 74:[90, 115], Operations: ['61+3=64', '51+64=115'] Exploring Operation: 115-90=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,1 Current State: 74:[51, 90, 64], Operations: ['61+3=64'] Exploring Operation: 90-64=26, Resulting Numbers: [51, 26] Generated Node #0,1,2: 74:[51, 26] Operation: 90-64=26 Moving to Node #0,1,2 Current State: 74:[51, 26], Operations: ['61+3=64', '90-64=26'] Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,1,2 Current State: 74:[51, 26], Operations: ['61+3=64', '90-64=26'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,1 Current State: 74:[51, 90, 64], Operations: ['61+3=64'] Exploring Operation: 51+90=141, Resulting Numbers: [64, 141] Generated Node #0,1,3: 74:[64, 141] Operation: 51+90=141 Moving to Node #0,1,3 Current State: 74:[64, 141], Operations: ['61+3=64', '51+90=141'] Exploring Operation: 141-64=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,1 Current State: 74:[51, 90, 64], Operations: ['61+3=64'] Exploring Operation: 64-51=13, Resulting Numbers: [90, 13] Generated Node #0,1,4: 74:[90, 13] Operation: 64-51=13 Moving to Node #0,1,4 Current State: 74:[90, 13], Operations: ['61+3=64', '64-51=13'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,1,4 Current State: 74:[90, 13], Operations: ['61+3=64', '64-51=13'] Exploring Operation: 90+13=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,1 Current State: 74:[51, 90, 64], Operations: ['61+3=64'] Exploring Operation: 90+64=154, Resulting Numbers: [51, 154] Generated Node #0,1,5: 74:[51, 154] Operation: 90+64=154 Moving to Node #0,1,5 Current State: 74:[51, 154], Operations: ['61+3=64', '90+64=154'] Exploring Operation: 154-51=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 90-3=87, Resulting Numbers: [51, 61, 87] Generated Node #0,2: 74:[51, 61, 87] Operation: 90-3=87 Moving to Node #0,2 Current State: 74:[51, 61, 87], Operations: ['90-3=87'] Exploring Operation: 51+61=112, Resulting Numbers: [87, 112] Generated Node #0,2,0: 74:[87, 112] Operation: 51+61=112 Moving to Node #0,2,0 Current State: 74:[87, 112], Operations: ['90-3=87', '51+61=112'] Exploring Operation: 112-87=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,2 Current State: 74:[51, 61, 87], Operations: ['90-3=87'] Exploring Operation: 87-51=36, Resulting Numbers: [61, 36] Generated Node #0,2,1: 74:[61, 36] Operation: 87-51=36 Moving to Node #0,2,1 Current State: 74:[61, 36], Operations: ['90-3=87', '87-51=36'] Exploring Operation: 61+36=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,2,1 Current State: 74:[61, 36], Operations: ['90-3=87', '87-51=36'] Exploring Operation: 61-36=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,2 Current State: 74:[51, 61, 87], Operations: ['90-3=87'] Exploring Operation: 87-61=26, Resulting Numbers: [51, 26] Generated Node #0,2,2: 74:[51, 26] Operation: 87-61=26 Moving to Node #0,2,2 Current State: 74:[51, 26], Operations: ['90-3=87', '87-61=26'] Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,2,2 Current State: 74:[51, 26], Operations: ['90-3=87', '87-61=26'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,2 Current State: 74:[51, 61, 87], Operations: ['90-3=87'] Exploring Operation: 61-51=10, Resulting Numbers: [87, 10] Generated Node #0,2,3: 74:[87, 10] Operation: 61-51=10 Moving to Node #0,2,3 Current State: 74:[87, 10], Operations: ['90-3=87', '61-51=10'] Exploring Operation: 87-10=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,2,3 Current State: 74:[87, 10], Operations: ['90-3=87', '61-51=10'] Exploring Operation: 87+10=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,2 Current State: 74:[51, 61, 87], Operations: ['90-3=87'] Exploring Operation: 51+87=138, Resulting Numbers: [61, 138] Generated Node #0,2,4: 74:[61, 138] Operation: 51+87=138 Moving to Node #0,2,4 Current State: 74:[61, 138], Operations: ['90-3=87', '51+87=138'] Exploring Operation: 138-61=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,2 Current State: 74:[51, 61, 87], Operations: ['90-3=87'] Exploring Operation: 61+87=148, Resulting Numbers: [51, 148] Generated Node #0,2,5: 74:[51, 148] Operation: 61+87=148 Moving to Node #0,2,5 Current State: 74:[51, 148], Operations: ['90-3=87', '61+87=148'] Exploring Operation: 148-51=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [61, 90, 48] Generated Node #0,3: 74:[61, 90, 48] Operation: 51-3=48 Moving to Node #0,3 Current State: 74:[61, 90, 48], Operations: ['51-3=48'] Exploring Operation: 90-48=42, Resulting Numbers: [61, 42] Generated Node #0,3,0: 74:[61, 42] Operation: 90-48=42 Moving to Node #0,3,0 Current State: 74:[61, 42], Operations: ['51-3=48', '90-48=42'] Exploring Operation: 61+42=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,3,0 Current State: 74:[61, 42], Operations: ['51-3=48', '90-48=42'] Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,3 Current State: 74:[61, 90, 48], Operations: ['51-3=48'] Exploring Operation: 61+48=109, Resulting Numbers: [90, 109] Generated Node #0,3,1: 74:[90, 109] Operation: 61+48=109 Moving to Node #0,3,1 Current State: 74:[90, 109], Operations: ['51-3=48', '61+48=109'] Exploring Operation: 109-90=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,3 Current State: 74:[61, 90, 48], Operations: ['51-3=48'] Exploring Operation: 90-61=29, Resulting Numbers: [48, 29] Generated Node #0,3,2: 74:[48, 29] Operation: 90-61=29 Moving to Node #0,3,2 Current State: 74:[48, 29], Operations: ['51-3=48', '90-61=29'] Exploring Operation: 48+29=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,3,2 Current State: 74:[48, 29], Operations: ['51-3=48', '90-61=29'] Exploring Operation: 48-29=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,3 Current State: 74:[61, 90, 48], Operations: ['51-3=48'] Exploring Operation: 61-48=13, Resulting Numbers: [90, 13] Generated Node #0,3,3: 74:[90, 13] Operation: 61-48=13 Moving to Node #0,3,3 Current State: 74:[90, 13], Operations: ['51-3=48', '61-48=13'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,3,3 Current State: 74:[90, 13], Operations: ['51-3=48', '61-48=13'] Exploring Operation: 90+13=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,3 Current State: 74:[61, 90, 48], Operations: ['51-3=48'] Exploring Operation: 90+48=138, Resulting Numbers: [61, 138] Generated Node #0,3,4: 74:[61, 138] Operation: 90+48=138 Moving to Node #0,3,4 Current State: 74:[61, 138], Operations: ['51-3=48', '90+48=138'] Exploring Operation: 138-61=77, Resulting Numbers: [77] 77,74 unequal: No Solution Moving to Node #0,3 Current State: 74:[61, 90, 48], Operations: ['51-3=48'] Exploring Operation: 61+90=151, Resulting Numbers: [48, 151] Generated Node #0,3,5: 74:[48, 151] Operation: 61+90=151 Moving to Node #0,3,5 Current State: 74:[48, 151], Operations: ['51-3=48', '61+90=151'] Exploring Operation: 151-48=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 61-3=58, Resulting Numbers: [51, 90, 58] Generated Node #0,4: 74:[51, 90, 58] Operation: 61-3=58 Moving to Node #0,4 Current State: 74:[51, 90, 58], Operations: ['61-3=58'] Exploring Operation: 90-51=39, Resulting Numbers: [58, 39] Generated Node #0,4,0: 74:[58, 39] Operation: 90-51=39 Moving to Node #0,4,0 Current State: 74:[58, 39], Operations: ['61-3=58', '90-51=39'] Exploring Operation: 58+39=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,4,0 Current State: 74:[58, 39], Operations: ['61-3=58', '90-51=39'] Exploring Operation: 58-39=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,4 Current State: 74:[51, 90, 58], Operations: ['61-3=58'] Exploring Operation: 51+58=109, Resulting Numbers: [90, 109] Generated Node #0,4,1: 74:[90, 109] Operation: 51+58=109 Moving to Node #0,4,1 Current State: 74:[90, 109], Operations: ['61-3=58', '51+58=109'] Exploring Operation: 109-90=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,4 Current State: 74:[51, 90, 58], Operations: ['61-3=58'] Exploring Operation: 90-58=32, Resulting Numbers: [51, 32] Generated Node #0,4,2: 74:[51, 32] Operation: 90-58=32 Moving to Node #0,4,2 Current State: 74:[51, 32], Operations: ['61-3=58', '90-58=32'] Exploring Operation: 51+32=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,4,2 Current State: 74:[51, 32], Operations: ['61-3=58', '90-58=32'] Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,4 Current State: 74:[51, 90, 58], Operations: ['61-3=58'] Exploring Operation: 51+90=141, Resulting Numbers: [58, 141] Generated Node #0,4,3: 74:[58, 141] Operation: 51+90=141 Moving to Node #0,4,3 Current State: 74:[58, 141], Operations: ['61-3=58', '51+90=141'] Exploring Operation: 141-58=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,4 Current State: 74:[51, 90, 58], Operations: ['61-3=58'] Exploring Operation: 58-51=7, Resulting Numbers: [90, 7] Generated Node #0,4,4: 74:[90, 7] Operation: 58-51=7 Moving to Node #0,4,4 Current State: 74:[90, 7], Operations: ['61-3=58', '58-51=7'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,4,4 Current State: 74:[90, 7], Operations: ['61-3=58', '58-51=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,4 Current State: 74:[51, 90, 58], Operations: ['61-3=58'] Exploring Operation: 90+58=148, Resulting Numbers: [51, 148] Generated Node #0,4,5: 74:[51, 148] Operation: 90+58=148 Moving to Node #0,4,5 Current State: 74:[51, 148], Operations: ['61-3=58', '90+58=148'] Exploring Operation: 148-51=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 3+90=93, Resulting Numbers: [51, 61, 93] Generated Node #0,5: 74:[51, 61, 93] Operation: 3+90=93 Moving to Node #0,5 Current State: 74:[51, 61, 93], Operations: ['3+90=93'] Exploring Operation: 93-51=42, Resulting Numbers: [61, 42] Generated Node #0,5,0: 74:[61, 42] Operation: 93-51=42 Moving to Node #0,5,0 Current State: 74:[61, 42], Operations: ['3+90=93', '93-51=42'] Exploring Operation: 61+42=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,5,0 Current State: 74:[61, 42], Operations: ['3+90=93', '93-51=42'] Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,5 Current State: 74:[51, 61, 93], Operations: ['3+90=93'] Exploring Operation: 51+61=112, Resulting Numbers: [93, 112] Generated Node #0,5,1: 74:[93, 112] Operation: 51+61=112 Moving to Node #0,5,1 Current State: 74:[93, 112], Operations: ['3+90=93', '51+61=112'] Exploring Operation: 112-93=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,5 Current State: 74:[51, 61, 93], Operations: ['3+90=93'] Exploring Operation: 93-61=32, Resulting Numbers: [51, 32] Generated Node #0,5,2: 74:[51, 32] Operation: 93-61=32 Moving to Node #0,5,2 Current State: 74:[51, 32], Operations: ['3+90=93', '93-61=32'] Exploring Operation: 51+32=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,5,2 Current State: 74:[51, 32], Operations: ['3+90=93', '93-61=32'] Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,5 Current State: 74:[51, 61, 93], Operations: ['3+90=93'] Exploring Operation: 61-51=10, Resulting Numbers: [93, 10] Generated Node #0,5,3: 74:[93, 10] Operation: 61-51=10 Moving to Node #0,5,3 Current State: 74:[93, 10], Operations: ['3+90=93', '61-51=10'] Exploring Operation: 93-10=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,5,3 Current State: 74:[93, 10], Operations: ['3+90=93', '61-51=10'] Exploring Operation: 93+10=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,5 Current State: 74:[51, 61, 93], Operations: ['3+90=93'] Exploring Operation: 51+93=144, Resulting Numbers: [61, 144] Generated Node #0,5,4: 74:[61, 144] Operation: 51+93=144 Moving to Node #0,5,4 Current State: 74:[61, 144], Operations: ['3+90=93', '51+93=144'] Exploring Operation: 144-61=83, Resulting Numbers: [83] 83,74 unequal: No Solution Moving to Node #0,5 Current State: 74:[51, 61, 93], Operations: ['3+90=93'] Exploring Operation: 61+93=154, Resulting Numbers: [51, 154] Generated Node #0,5,5: 74:[51, 154] Operation: 61+93=154 Moving to Node #0,5,5 Current State: 74:[51, 154], Operations: ['3+90=93', '61+93=154'] Exploring Operation: 154-51=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [51, 61, 30] Generated Node #0,6: 74:[51, 61, 30] Operation: 90/3=30 Moving to Node #0,6 Current State: 74:[51, 61, 30], Operations: ['90/3=30'] Exploring Operation: 51+30=81, Resulting Numbers: [61, 81] Generated Node #0,6,0: 74:[61, 81] Operation: 51+30=81 Moving to Node #0,6,0 Current State: 74:[61, 81], Operations: ['90/3=30', '51+30=81'] Exploring Operation: 81-61=20, Resulting Numbers: [20] 20,74 unequal: No Solution Moving to Node #0,6,0 Current State: 74:[61, 81], Operations: ['90/3=30', '51+30=81'] Exploring Operation: 61+81=142, Resulting Numbers: [142] 142,74 unequal: No Solution Moving to Node #0,6 Current State: 74:[51, 61, 30], Operations: ['90/3=30'] Exploring Operation: 61+30=91, Resulting Numbers: [51, 91] Generated Node #0,6,1: 74:[51, 91] Operation: 61+30=91 Moving to Node #0,6,1 Current State: 74:[51, 91], Operations: ['90/3=30', '61+30=91'] Exploring Operation: 91-51=40, Resulting Numbers: [40] 40,74 unequal: No Solution Moving to Node #0,6,1 Current State: 74:[51, 91], Operations: ['90/3=30', '61+30=91'] Exploring Operation: 51+91=142, Resulting Numbers: [142] 142,74 unequal: No Solution Moving to Node #0,6 Current State: 74:[51, 61, 30], Operations: ['90/3=30'] Exploring Operation: 51-30=21, Resulting Numbers: [61, 21] Generated Node #0,6,2: 74:[61, 21] Operation: 51-30=21 Moving to Node #0,6,2 Current State: 74:[61, 21], Operations: ['90/3=30', '51-30=21'] Exploring Operation: 61+21=82, Resulting Numbers: [82] 82,74 unequal: No Solution Moving to Node #0,6,2 Current State: 74:[61, 21], Operations: ['90/3=30', '51-30=21'] Exploring Operation: 61-21=40, Resulting Numbers: [40] 40,74 unequal: No Solution Moving to Node #0,6 Current State: 74:[51, 61, 30], Operations: ['90/3=30'] Exploring Operation: 61-30=31, Resulting Numbers: [51, 31] Generated Node #0,6,3: 74:[51, 31] Operation: 61-30=31 Moving to Node #0,6,3 Current State: 74:[51, 31], Operations: ['90/3=30', '61-30=31'] Exploring Operation: 51+31=82, Resulting Numbers: [82] 82,74 unequal: No Solution Moving to Node #0,6,3 Current State: 74:[51, 31], Operations: ['90/3=30', '61-30=31'] Exploring Operation: 51-31=20, Resulting Numbers: [20] 20,74 unequal: No Solution Moving to Node #0,6 Current State: 74:[51, 61, 30], Operations: ['90/3=30'] Exploring Operation: 51+61=112, Resulting Numbers: [30, 112] Generated Node #0,6,4: 74:[30, 112] Operation: 51+61=112 Moving to Node #0,6,4 Current State: 74:[30, 112], Operations: ['90/3=30', '51+61=112'] Exploring Operation: 112-30=82, Resulting Numbers: [82] 82,74 unequal: No Solution Moving to Node #0,6,4 Current State: 74:[30, 112], Operations: ['90/3=30', '51+61=112'] Exploring Operation: 30+112=142, Resulting Numbers: [142] 142,74 unequal: No Solution Moving to Node #0,6 Current State: 74:[51, 61, 30], Operations: ['90/3=30'] Exploring Operation: 61-51=10, Resulting Numbers: [30, 10] Generated Node #0,6,5: 74:[30, 10] Operation: 61-51=10 Moving to Node #0,6,5 Current State: 74:[30, 10], Operations: ['90/3=30', '61-51=10'] Exploring Operation: 30+10=40, Resulting Numbers: [40] 40,74 unequal: No Solution Moving to Node #0,6,5 Current State: 74:[30, 10], Operations: ['90/3=30', '61-51=10'] Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,74 unequal: No Solution Moving to Node #0,6,5 Current State: 74:[30, 10], Operations: ['90/3=30', '61-51=10'] Exploring Operation: 30/10=3, Resulting Numbers: [3] 3,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [61, 90, 17] Generated Node #0,7: 74:[61, 90, 17] Operation: 51/3=17 Moving to Node #0,7 Current State: 74:[61, 90, 17], Operations: ['51/3=17'] Exploring Operation: 90-17=73, Resulting Numbers: [61, 73] Generated Node #0,7,0: 74:[61, 73] Operation: 90-17=73 Moving to Node #0,7,0 Current State: 74:[61, 73], Operations: ['51/3=17', '90-17=73'] Exploring Operation: 61+73=134, Resulting Numbers: [134] 134,74 unequal: No Solution Moving to Node #0,7,0 Current State: 74:[61, 73], Operations: ['51/3=17', '90-17=73'] Exploring Operation: 73-61=12, Resulting Numbers: [12] 12,74 unequal: No Solution Moving to Node #0,7 Current State: 74:[61, 90, 17], Operations: ['51/3=17'] Exploring Operation: 61+17=78, Resulting Numbers: [90, 78] Generated Node #0,7,1: 74:[90, 78] Operation: 61+17=78 Moving to Node #0,7,1 Current State: 74:[90, 78], Operations: ['51/3=17', '61+17=78'] Exploring Operation: 90-78=12, Resulting Numbers: [12] 12,74 unequal: No Solution Moving to Node #0,7 Current State: 74:[61, 90, 17], Operations: ['51/3=17'] Exploring Operation: 61-17=44, Resulting Numbers: [90, 44] Generated Node #0,7,2: 74:[90, 44] Operation: 61-17=44 Moving to Node #0,7,2 Current State: 74:[90, 44], Operations: ['51/3=17', '61-17=44'] Exploring Operation: 90-44=46, Resulting Numbers: [46] 46,74 unequal: No Solution Moving to Node #0,7,2 Current State: 74:[90, 44], Operations: ['51/3=17', '61-17=44'] Exploring Operation: 90+44=134, Resulting Numbers: [134] 134,74 unequal: No Solution Moving to Node #0,7 Current State: 74:[61, 90, 17], Operations: ['51/3=17'] Exploring Operation: 90+17=107, Resulting Numbers: [61, 107] Generated Node #0,7,3: 74:[61, 107] Operation: 90+17=107 Moving to Node #0,7,3 Current State: 74:[61, 107], Operations: ['51/3=17', '90+17=107'] Exploring Operation: 107-61=46, Resulting Numbers: [46] 46,74 unequal: No Solution Moving to Node #0,7 Current State: 74:[61, 90, 17], Operations: ['51/3=17'] Exploring Operation: 90-61=29, Resulting Numbers: [17, 29] Generated Node #0,7,4: 74:[17, 29] Operation: 90-61=29 Moving to Node #0,7,4 Current State: 74:[17, 29], Operations: ['51/3=17', '90-61=29'] Exploring Operation: 17+29=46, Resulting Numbers: [46] 46,74 unequal: No Solution Moving to Node #0,7,4 Current State: 74:[17, 29], Operations: ['51/3=17', '90-61=29'] Exploring Operation: 29-17=12, Resulting Numbers: [12] 12,74 unequal: No Solution Moving to Node #0,7 Current State: 74:[61, 90, 17], Operations: ['51/3=17'] Exploring Operation: 61+90=151, Resulting Numbers: [17, 151] Generated Node #0,7,5: 74:[17, 151] Operation: 61+90=151 Moving to Node #0,7,5 Current State: 74:[17, 151], Operations: ['51/3=17', '61+90=151'] Exploring Operation: 151-17=134, Resulting Numbers: [134] 134,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 51*3=153, Resulting Numbers: [61, 90, 153] Generated Node #0,8: 74:[61, 90, 153] Operation: 51*3=153 Moving to Node #0,8 Current State: 74:[61, 90, 153], Operations: ['51*3=153'] Exploring Operation: 153-90=63, Resulting Numbers: [61, 63] Generated Node #0,8,0: 74:[61, 63] Operation: 153-90=63 Moving to Node #0,8,0 Current State: 74:[61, 63], Operations: ['51*3=153', '153-90=63'] Exploring Operation: 61+63=124, Resulting Numbers: [124] 124,74 unequal: No Solution Moving to Node #0,8,0 Current State: 74:[61, 63], Operations: ['51*3=153', '153-90=63'] Exploring Operation: 63-61=2, Resulting Numbers: [2] 2,74 unequal: No Solution Moving to Node #0,8 Current State: 74:[61, 90, 153], Operations: ['51*3=153'] Exploring Operation: 153-61=92, Resulting Numbers: [90, 92] Generated Node #0,8,1: 74:[90, 92] Operation: 153-61=92 Moving to Node #0,8,1 Current State: 74:[90, 92], Operations: ['51*3=153', '153-61=92'] Exploring Operation: 92-90=2, Resulting Numbers: [2] 2,74 unequal: No Solution Moving to Node #0,8 Current State: 74:[61, 90, 153], Operations: ['51*3=153'] Exploring Operation: 90-61=29, Resulting Numbers: [153, 29] Generated Node #0,8,2: 74:[153, 29] Operation: 90-61=29 Moving to Node #0,8,2 Current State: 74:[153, 29], Operations: ['51*3=153', '90-61=29'] Exploring Operation: 153-29=124, Resulting Numbers: [124] 124,74 unequal: No Solution Moving to Node #0 Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 90-51=39, Resulting Numbers: [61, 3, 39] Generated Node #0,9: 74:[61, 3, 39] Operation: 90-51=39 Moving to Node #0,9 Current State: 74:[61, 3, 39], Operations: ['90-51=39'] Exploring Operation: 61+3=64, Resulting Numbers: [39, 64] Generated Node #0,9,0: 74:[39, 64] Operation: 61+3=64 Moving to Node #0,9,0 Current State: 74:[39, 64], Operations: ['90-51=39', '61+3=64'] Exploring Operation: 39+64=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,9,0 Current State: 74:[39, 64], Operations: ['90-51=39', '61+3=64'] Exploring Operation: 64-39=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,9 Current State: 74:[61, 3, 39], Operations: ['90-51=39'] Exploring Operation: 3+39=42, Resulting Numbers: [61, 42] Generated Node #0,9,1: 74:[61, 42] Operation: 3+39=42 Moving to Node #0,9,1 Current State: 74:[61, 42], Operations: ['90-51=39', '3+39=42'] Exploring Operation: 61+42=103, Resulting Numbers: [103] 103,74 unequal: No Solution Moving to Node #0,9,1 Current State: 74:[61, 42], Operations: ['90-51=39', '3+39=42'] Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,9 Current State: 74:[61, 3, 39], Operations: ['90-51=39'] Exploring Operation: 61-3=58, Resulting Numbers: [39, 58] Generated Node #0,9,2: 74:[39, 58] Operation: 61-3=58 Moving to Node #0,9,2 Current State: 74:[39, 58], Operations: ['90-51=39', '61-3=58'] Exploring Operation: 39+58=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,9,2 Current State: 74:[39, 58], Operations: ['90-51=39', '61-3=58'] Exploring Operation: 58-39=19, Resulting Numbers: [19] 19,74 unequal: No Solution Moving to Node #0,9 Current State: 74:[61, 3, 39], Operations: ['90-51=39'] Exploring Operation: 39-3=36, Resulting Numbers: [61, 36] Generated Node #0,9,3: 74:[61, 36] Operation: 39-3=36 Moving to Node #0,9,3 Current State: 74:[61, 36], Operations: ['90-51=39', '39-3=36'] Exploring Operation: 61+36=97, Resulting Numbers: [97] 97,74 unequal: No Solution Moving to Node #0,9,3 Current State: 74:[61, 36], Operations: ['90-51=39', '39-3=36'] Exploring Operation: 61-36=25, Resulting Numbers: [25] 25,74 unequal: No Solution Moving to Node #0,9 Current State: 74:[61, 3, 39], Operations: ['90-51=39'] Exploring Operation: 3*39=117, Resulting Numbers: [61, 117] Generated Node #0,9,4: 74:[61, 117] Operation: 3*39=117 Moving to Node #0,9,4 Current State: 74:[61, 117], Operations: ['90-51=39', '3*39=117'] Exploring Operation: 117-61=56, Resulting Numbers: [56] 56,74 unequal: No Solution Moving to Node #0,9 Current State: 74:[61, 3, 39], Operations: ['90-51=39'] Exploring Operation: 39/3=13, Resulting Numbers: [61, 13] Generated Node #0,9,5: 74:[61, 13] Operation: 39/3=13 Moving to Node #0,9,5 Current State: 74:[61, 13], Operations: ['90-51=39', '39/3=13'] Exploring Operation: 61+13=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
0.862847
dfs
Current State: 74:[51, 61, 3, 90], Operations: [] Exploring Operation: 90-51=39, Resulting Numbers: [61, 3, 39] Generated Node #2: [61, 3, 39] from Operation: 90-51=39 Current State: 74:[61, 3, 39], Operations: ['90-51=39'] Exploring Operation: 39/3=13, Resulting Numbers: [61, 13] Generated Node #3: [61, 13] from Operation: 39/3=13 Current State: 74:[61, 13], Operations: ['90-51=39', '39/3=13'] Exploring Operation: 61+13=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
sum_heuristic
[ { "content": "Make 74 with the numbers [51, 61, 3, 90] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 51+3=54, Resulting Numbers: [61, 90, 54]\nGenerated Node #0,0: 74:[61, 90, 54] Operation: 51+3=54\nMoving to Node #0,0\nCurrent State: 74:[61, 90, 54], Operations: ['51+3=54']\nExploring Operation: 90-54=36, Resulting Numbers: [61, 36]\nGenerated Node #0,0,0: 74:[61, 36] Operation: 90-54=36\nMoving to Node #0,0,0\nCurrent State: 74:[61, 36], Operations: ['51+3=54', '90-54=36']\nExploring Operation: 61+36=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 74:[61, 36], Operations: ['51+3=54', '90-54=36']\nExploring Operation: 61-36=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 74:[61, 90, 54], Operations: ['51+3=54']\nExploring Operation: 61+54=115, Resulting Numbers: [90, 115]\nGenerated Node #0,0,1: 74:[90, 115] Operation: 61+54=115\nMoving to Node #0,0,1\nCurrent State: 74:[90, 115], Operations: ['51+3=54', '61+54=115']\nExploring Operation: 115-90=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 74:[61, 90, 54], Operations: ['51+3=54']\nExploring Operation: 90-61=29, Resulting Numbers: [54, 29]\nGenerated Node #0,0,2: 74:[54, 29] Operation: 90-61=29\nMoving to Node #0,0,2\nCurrent State: 74:[54, 29], Operations: ['51+3=54', '90-61=29']\nExploring Operation: 54+29=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 74:[54, 29], Operations: ['51+3=54', '90-61=29']\nExploring Operation: 54-29=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 74:[61, 90, 54], Operations: ['51+3=54']\nExploring Operation: 61-54=7, Resulting Numbers: [90, 7]\nGenerated Node #0,0,3: 74:[90, 7] Operation: 61-54=7\nMoving to Node #0,0,3\nCurrent State: 74:[90, 7], Operations: ['51+3=54', '61-54=7']\nExploring Operation: 90-7=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 74:[90, 7], Operations: ['51+3=54', '61-54=7']\nExploring Operation: 90+7=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 74:[61, 90, 54], Operations: ['51+3=54']\nExploring Operation: 90+54=144, Resulting Numbers: [61, 144]\nGenerated Node #0,0,4: 74:[61, 144] Operation: 90+54=144\nMoving to Node #0,0,4\nCurrent State: 74:[61, 144], Operations: ['51+3=54', '90+54=144']\nExploring Operation: 144-61=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 74:[61, 90, 54], Operations: ['51+3=54']\nExploring Operation: 61+90=151, Resulting Numbers: [54, 151]\nGenerated Node #0,0,5: 74:[54, 151] Operation: 61+90=151\nMoving to Node #0,0,5\nCurrent State: 74:[54, 151], Operations: ['51+3=54', '61+90=151']\nExploring Operation: 151-54=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 61+3=64, Resulting Numbers: [51, 90, 64]\nGenerated Node #0,1: 74:[51, 90, 64] Operation: 61+3=64\nMoving to Node #0,1\nCurrent State: 74:[51, 90, 64], Operations: ['61+3=64']\nExploring Operation: 90-51=39, Resulting Numbers: [64, 39]\nGenerated Node #0,1,0: 74:[64, 39] Operation: 90-51=39\nMoving to Node #0,1,0\nCurrent State: 74:[64, 39], Operations: ['61+3=64', '90-51=39']\nExploring Operation: 64+39=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 74:[64, 39], Operations: ['61+3=64', '90-51=39']\nExploring Operation: 64-39=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 74:[51, 90, 64], Operations: ['61+3=64']\nExploring Operation: 51+64=115, Resulting Numbers: [90, 115]\nGenerated Node #0,1,1: 74:[90, 115] Operation: 51+64=115\nMoving to Node #0,1,1\nCurrent State: 74:[90, 115], Operations: ['61+3=64', '51+64=115']\nExploring Operation: 115-90=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 74:[51, 90, 64], Operations: ['61+3=64']\nExploring Operation: 90-64=26, Resulting Numbers: [51, 26]\nGenerated Node #0,1,2: 74:[51, 26] Operation: 90-64=26\nMoving to Node #0,1,2\nCurrent State: 74:[51, 26], Operations: ['61+3=64', '90-64=26']\nExploring Operation: 51+26=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 74:[51, 26], Operations: ['61+3=64', '90-64=26']\nExploring Operation: 51-26=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 74:[51, 90, 64], Operations: ['61+3=64']\nExploring Operation: 51+90=141, Resulting Numbers: [64, 141]\nGenerated Node #0,1,3: 74:[64, 141] Operation: 51+90=141\nMoving to Node #0,1,3\nCurrent State: 74:[64, 141], Operations: ['61+3=64', '51+90=141']\nExploring Operation: 141-64=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 74:[51, 90, 64], Operations: ['61+3=64']\nExploring Operation: 64-51=13, Resulting Numbers: [90, 13]\nGenerated Node #0,1,4: 74:[90, 13] Operation: 64-51=13\nMoving to Node #0,1,4\nCurrent State: 74:[90, 13], Operations: ['61+3=64', '64-51=13']\nExploring Operation: 90-13=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 74:[90, 13], Operations: ['61+3=64', '64-51=13']\nExploring Operation: 90+13=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 74:[51, 90, 64], Operations: ['61+3=64']\nExploring Operation: 90+64=154, Resulting Numbers: [51, 154]\nGenerated Node #0,1,5: 74:[51, 154] Operation: 90+64=154\nMoving to Node #0,1,5\nCurrent State: 74:[51, 154], Operations: ['61+3=64', '90+64=154']\nExploring Operation: 154-51=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 90-3=87, Resulting Numbers: [51, 61, 87]\nGenerated Node #0,2: 74:[51, 61, 87] Operation: 90-3=87\nMoving to Node #0,2\nCurrent State: 74:[51, 61, 87], Operations: ['90-3=87']\nExploring Operation: 51+61=112, Resulting Numbers: [87, 112]\nGenerated Node #0,2,0: 74:[87, 112] Operation: 51+61=112\nMoving to Node #0,2,0\nCurrent State: 74:[87, 112], Operations: ['90-3=87', '51+61=112']\nExploring Operation: 112-87=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 74:[51, 61, 87], Operations: ['90-3=87']\nExploring Operation: 87-51=36, Resulting Numbers: [61, 36]\nGenerated Node #0,2,1: 74:[61, 36] Operation: 87-51=36\nMoving to Node #0,2,1\nCurrent State: 74:[61, 36], Operations: ['90-3=87', '87-51=36']\nExploring Operation: 61+36=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 74:[61, 36], Operations: ['90-3=87', '87-51=36']\nExploring Operation: 61-36=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 74:[51, 61, 87], Operations: ['90-3=87']\nExploring Operation: 87-61=26, Resulting Numbers: [51, 26]\nGenerated Node #0,2,2: 74:[51, 26] Operation: 87-61=26\nMoving to Node #0,2,2\nCurrent State: 74:[51, 26], Operations: ['90-3=87', '87-61=26']\nExploring Operation: 51+26=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 74:[51, 26], Operations: ['90-3=87', '87-61=26']\nExploring Operation: 51-26=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 74:[51, 61, 87], Operations: ['90-3=87']\nExploring Operation: 61-51=10, Resulting Numbers: [87, 10]\nGenerated Node #0,2,3: 74:[87, 10] Operation: 61-51=10\nMoving to Node #0,2,3\nCurrent State: 74:[87, 10], Operations: ['90-3=87', '61-51=10']\nExploring Operation: 87-10=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 74:[87, 10], Operations: ['90-3=87', '61-51=10']\nExploring Operation: 87+10=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 74:[51, 61, 87], Operations: ['90-3=87']\nExploring Operation: 51+87=138, Resulting Numbers: [61, 138]\nGenerated Node #0,2,4: 74:[61, 138] Operation: 51+87=138\nMoving to Node #0,2,4\nCurrent State: 74:[61, 138], Operations: ['90-3=87', '51+87=138']\nExploring Operation: 138-61=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 74:[51, 61, 87], Operations: ['90-3=87']\nExploring Operation: 61+87=148, Resulting Numbers: [51, 148]\nGenerated Node #0,2,5: 74:[51, 148] Operation: 61+87=148\nMoving to Node #0,2,5\nCurrent State: 74:[51, 148], Operations: ['90-3=87', '61+87=148']\nExploring Operation: 148-51=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 51-3=48, Resulting Numbers: [61, 90, 48]\nGenerated Node #0,3: 74:[61, 90, 48] Operation: 51-3=48\nMoving to Node #0,3\nCurrent State: 74:[61, 90, 48], Operations: ['51-3=48']\nExploring Operation: 90-48=42, Resulting Numbers: [61, 42]\nGenerated Node #0,3,0: 74:[61, 42] Operation: 90-48=42\nMoving to Node #0,3,0\nCurrent State: 74:[61, 42], Operations: ['51-3=48', '90-48=42']\nExploring Operation: 61+42=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 74:[61, 42], Operations: ['51-3=48', '90-48=42']\nExploring Operation: 61-42=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 74:[61, 90, 48], Operations: ['51-3=48']\nExploring Operation: 61+48=109, Resulting Numbers: [90, 109]\nGenerated Node #0,3,1: 74:[90, 109] Operation: 61+48=109\nMoving to Node #0,3,1\nCurrent State: 74:[90, 109], Operations: ['51-3=48', '61+48=109']\nExploring Operation: 109-90=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 74:[61, 90, 48], Operations: ['51-3=48']\nExploring Operation: 90-61=29, Resulting Numbers: [48, 29]\nGenerated Node #0,3,2: 74:[48, 29] Operation: 90-61=29\nMoving to Node #0,3,2\nCurrent State: 74:[48, 29], Operations: ['51-3=48', '90-61=29']\nExploring Operation: 48+29=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 74:[48, 29], Operations: ['51-3=48', '90-61=29']\nExploring Operation: 48-29=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 74:[61, 90, 48], Operations: ['51-3=48']\nExploring Operation: 61-48=13, Resulting Numbers: [90, 13]\nGenerated Node #0,3,3: 74:[90, 13] Operation: 61-48=13\nMoving to Node #0,3,3\nCurrent State: 74:[90, 13], Operations: ['51-3=48', '61-48=13']\nExploring Operation: 90-13=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 74:[90, 13], Operations: ['51-3=48', '61-48=13']\nExploring Operation: 90+13=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 74:[61, 90, 48], Operations: ['51-3=48']\nExploring Operation: 90+48=138, Resulting Numbers: [61, 138]\nGenerated Node #0,3,4: 74:[61, 138] Operation: 90+48=138\nMoving to Node #0,3,4\nCurrent State: 74:[61, 138], Operations: ['51-3=48', '90+48=138']\nExploring Operation: 138-61=77, Resulting Numbers: [77]\n77,74 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 74:[61, 90, 48], Operations: ['51-3=48']\nExploring Operation: 61+90=151, Resulting Numbers: [48, 151]\nGenerated Node #0,3,5: 74:[48, 151] Operation: 61+90=151\nMoving to Node #0,3,5\nCurrent State: 74:[48, 151], Operations: ['51-3=48', '61+90=151']\nExploring Operation: 151-48=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 61-3=58, Resulting Numbers: [51, 90, 58]\nGenerated Node #0,4: 74:[51, 90, 58] Operation: 61-3=58\nMoving to Node #0,4\nCurrent State: 74:[51, 90, 58], Operations: ['61-3=58']\nExploring Operation: 90-51=39, Resulting Numbers: [58, 39]\nGenerated Node #0,4,0: 74:[58, 39] Operation: 90-51=39\nMoving to Node #0,4,0\nCurrent State: 74:[58, 39], Operations: ['61-3=58', '90-51=39']\nExploring Operation: 58+39=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 74:[58, 39], Operations: ['61-3=58', '90-51=39']\nExploring Operation: 58-39=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 74:[51, 90, 58], Operations: ['61-3=58']\nExploring Operation: 51+58=109, Resulting Numbers: [90, 109]\nGenerated Node #0,4,1: 74:[90, 109] Operation: 51+58=109\nMoving to Node #0,4,1\nCurrent State: 74:[90, 109], Operations: ['61-3=58', '51+58=109']\nExploring Operation: 109-90=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 74:[51, 90, 58], Operations: ['61-3=58']\nExploring Operation: 90-58=32, Resulting Numbers: [51, 32]\nGenerated Node #0,4,2: 74:[51, 32] Operation: 90-58=32\nMoving to Node #0,4,2\nCurrent State: 74:[51, 32], Operations: ['61-3=58', '90-58=32']\nExploring Operation: 51+32=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 74:[51, 32], Operations: ['61-3=58', '90-58=32']\nExploring Operation: 51-32=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 74:[51, 90, 58], Operations: ['61-3=58']\nExploring Operation: 51+90=141, Resulting Numbers: [58, 141]\nGenerated Node #0,4,3: 74:[58, 141] Operation: 51+90=141\nMoving to Node #0,4,3\nCurrent State: 74:[58, 141], Operations: ['61-3=58', '51+90=141']\nExploring Operation: 141-58=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 74:[51, 90, 58], Operations: ['61-3=58']\nExploring Operation: 58-51=7, Resulting Numbers: [90, 7]\nGenerated Node #0,4,4: 74:[90, 7] Operation: 58-51=7\nMoving to Node #0,4,4\nCurrent State: 74:[90, 7], Operations: ['61-3=58', '58-51=7']\nExploring Operation: 90-7=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 74:[90, 7], Operations: ['61-3=58', '58-51=7']\nExploring Operation: 90+7=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 74:[51, 90, 58], Operations: ['61-3=58']\nExploring Operation: 90+58=148, Resulting Numbers: [51, 148]\nGenerated Node #0,4,5: 74:[51, 148] Operation: 90+58=148\nMoving to Node #0,4,5\nCurrent State: 74:[51, 148], Operations: ['61-3=58', '90+58=148']\nExploring Operation: 148-51=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 3+90=93, Resulting Numbers: [51, 61, 93]\nGenerated Node #0,5: 74:[51, 61, 93] Operation: 3+90=93\nMoving to Node #0,5\nCurrent State: 74:[51, 61, 93], Operations: ['3+90=93']\nExploring Operation: 93-51=42, Resulting Numbers: [61, 42]\nGenerated Node #0,5,0: 74:[61, 42] Operation: 93-51=42\nMoving to Node #0,5,0\nCurrent State: 74:[61, 42], Operations: ['3+90=93', '93-51=42']\nExploring Operation: 61+42=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 74:[61, 42], Operations: ['3+90=93', '93-51=42']\nExploring Operation: 61-42=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 74:[51, 61, 93], Operations: ['3+90=93']\nExploring Operation: 51+61=112, Resulting Numbers: [93, 112]\nGenerated Node #0,5,1: 74:[93, 112] Operation: 51+61=112\nMoving to Node #0,5,1\nCurrent State: 74:[93, 112], Operations: ['3+90=93', '51+61=112']\nExploring Operation: 112-93=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 74:[51, 61, 93], Operations: ['3+90=93']\nExploring Operation: 93-61=32, Resulting Numbers: [51, 32]\nGenerated Node #0,5,2: 74:[51, 32] Operation: 93-61=32\nMoving to Node #0,5,2\nCurrent State: 74:[51, 32], Operations: ['3+90=93', '93-61=32']\nExploring Operation: 51+32=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 74:[51, 32], Operations: ['3+90=93', '93-61=32']\nExploring Operation: 51-32=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 74:[51, 61, 93], Operations: ['3+90=93']\nExploring Operation: 61-51=10, Resulting Numbers: [93, 10]\nGenerated Node #0,5,3: 74:[93, 10] Operation: 61-51=10\nMoving to Node #0,5,3\nCurrent State: 74:[93, 10], Operations: ['3+90=93', '61-51=10']\nExploring Operation: 93-10=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 74:[93, 10], Operations: ['3+90=93', '61-51=10']\nExploring Operation: 93+10=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 74:[51, 61, 93], Operations: ['3+90=93']\nExploring Operation: 51+93=144, Resulting Numbers: [61, 144]\nGenerated Node #0,5,4: 74:[61, 144] Operation: 51+93=144\nMoving to Node #0,5,4\nCurrent State: 74:[61, 144], Operations: ['3+90=93', '51+93=144']\nExploring Operation: 144-61=83, Resulting Numbers: [83]\n83,74 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 74:[51, 61, 93], Operations: ['3+90=93']\nExploring Operation: 61+93=154, Resulting Numbers: [51, 154]\nGenerated Node #0,5,5: 74:[51, 154] Operation: 61+93=154\nMoving to Node #0,5,5\nCurrent State: 74:[51, 154], Operations: ['3+90=93', '61+93=154']\nExploring Operation: 154-51=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 90/3=30, Resulting Numbers: [51, 61, 30]\nGenerated Node #0,6: 74:[51, 61, 30] Operation: 90/3=30\nMoving to Node #0,6\nCurrent State: 74:[51, 61, 30], Operations: ['90/3=30']\nExploring Operation: 51+30=81, Resulting Numbers: [61, 81]\nGenerated Node #0,6,0: 74:[61, 81] Operation: 51+30=81\nMoving to Node #0,6,0\nCurrent State: 74:[61, 81], Operations: ['90/3=30', '51+30=81']\nExploring Operation: 81-61=20, Resulting Numbers: [20]\n20,74 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 74:[61, 81], Operations: ['90/3=30', '51+30=81']\nExploring Operation: 61+81=142, Resulting Numbers: [142]\n142,74 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 74:[51, 61, 30], Operations: ['90/3=30']\nExploring Operation: 61+30=91, Resulting Numbers: [51, 91]\nGenerated Node #0,6,1: 74:[51, 91] Operation: 61+30=91\nMoving to Node #0,6,1\nCurrent State: 74:[51, 91], Operations: ['90/3=30', '61+30=91']\nExploring Operation: 91-51=40, Resulting Numbers: [40]\n40,74 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 74:[51, 91], Operations: ['90/3=30', '61+30=91']\nExploring Operation: 51+91=142, Resulting Numbers: [142]\n142,74 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 74:[51, 61, 30], Operations: ['90/3=30']\nExploring Operation: 51-30=21, Resulting Numbers: [61, 21]\nGenerated Node #0,6,2: 74:[61, 21] Operation: 51-30=21\nMoving to Node #0,6,2\nCurrent State: 74:[61, 21], Operations: ['90/3=30', '51-30=21']\nExploring Operation: 61+21=82, Resulting Numbers: [82]\n82,74 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 74:[61, 21], Operations: ['90/3=30', '51-30=21']\nExploring Operation: 61-21=40, Resulting Numbers: [40]\n40,74 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 74:[51, 61, 30], Operations: ['90/3=30']\nExploring Operation: 61-30=31, Resulting Numbers: [51, 31]\nGenerated Node #0,6,3: 74:[51, 31] Operation: 61-30=31\nMoving to Node #0,6,3\nCurrent State: 74:[51, 31], Operations: ['90/3=30', '61-30=31']\nExploring Operation: 51+31=82, Resulting Numbers: [82]\n82,74 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 74:[51, 31], Operations: ['90/3=30', '61-30=31']\nExploring Operation: 51-31=20, Resulting Numbers: [20]\n20,74 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 74:[51, 61, 30], Operations: ['90/3=30']\nExploring Operation: 51+61=112, Resulting Numbers: [30, 112]\nGenerated Node #0,6,4: 74:[30, 112] Operation: 51+61=112\nMoving to Node #0,6,4\nCurrent State: 74:[30, 112], Operations: ['90/3=30', '51+61=112']\nExploring Operation: 112-30=82, Resulting Numbers: [82]\n82,74 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 74:[30, 112], Operations: ['90/3=30', '51+61=112']\nExploring Operation: 30+112=142, Resulting Numbers: [142]\n142,74 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 74:[51, 61, 30], Operations: ['90/3=30']\nExploring Operation: 61-51=10, Resulting Numbers: [30, 10]\nGenerated Node #0,6,5: 74:[30, 10] Operation: 61-51=10\nMoving to Node #0,6,5\nCurrent State: 74:[30, 10], Operations: ['90/3=30', '61-51=10']\nExploring Operation: 30+10=40, Resulting Numbers: [40]\n40,74 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 74:[30, 10], Operations: ['90/3=30', '61-51=10']\nExploring Operation: 30-10=20, Resulting Numbers: [20]\n20,74 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 74:[30, 10], Operations: ['90/3=30', '61-51=10']\nExploring Operation: 30/10=3, Resulting Numbers: [3]\n3,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 51/3=17, Resulting Numbers: [61, 90, 17]\nGenerated Node #0,7: 74:[61, 90, 17] Operation: 51/3=17\nMoving to Node #0,7\nCurrent State: 74:[61, 90, 17], Operations: ['51/3=17']\nExploring Operation: 90-17=73, Resulting Numbers: [61, 73]\nGenerated Node #0,7,0: 74:[61, 73] Operation: 90-17=73\nMoving to Node #0,7,0\nCurrent State: 74:[61, 73], Operations: ['51/3=17', '90-17=73']\nExploring Operation: 61+73=134, Resulting Numbers: [134]\n134,74 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 74:[61, 73], Operations: ['51/3=17', '90-17=73']\nExploring Operation: 73-61=12, Resulting Numbers: [12]\n12,74 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 74:[61, 90, 17], Operations: ['51/3=17']\nExploring Operation: 61+17=78, Resulting Numbers: [90, 78]\nGenerated Node #0,7,1: 74:[90, 78] Operation: 61+17=78\nMoving to Node #0,7,1\nCurrent State: 74:[90, 78], Operations: ['51/3=17', '61+17=78']\nExploring Operation: 90-78=12, Resulting Numbers: [12]\n12,74 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 74:[61, 90, 17], Operations: ['51/3=17']\nExploring Operation: 61-17=44, Resulting Numbers: [90, 44]\nGenerated Node #0,7,2: 74:[90, 44] Operation: 61-17=44\nMoving to Node #0,7,2\nCurrent State: 74:[90, 44], Operations: ['51/3=17', '61-17=44']\nExploring Operation: 90-44=46, Resulting Numbers: [46]\n46,74 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 74:[90, 44], Operations: ['51/3=17', '61-17=44']\nExploring Operation: 90+44=134, Resulting Numbers: [134]\n134,74 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 74:[61, 90, 17], Operations: ['51/3=17']\nExploring Operation: 90+17=107, Resulting Numbers: [61, 107]\nGenerated Node #0,7,3: 74:[61, 107] Operation: 90+17=107\nMoving to Node #0,7,3\nCurrent State: 74:[61, 107], Operations: ['51/3=17', '90+17=107']\nExploring Operation: 107-61=46, Resulting Numbers: [46]\n46,74 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 74:[61, 90, 17], Operations: ['51/3=17']\nExploring Operation: 90-61=29, Resulting Numbers: [17, 29]\nGenerated Node #0,7,4: 74:[17, 29] Operation: 90-61=29\nMoving to Node #0,7,4\nCurrent State: 74:[17, 29], Operations: ['51/3=17', '90-61=29']\nExploring Operation: 17+29=46, Resulting Numbers: [46]\n46,74 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 74:[17, 29], Operations: ['51/3=17', '90-61=29']\nExploring Operation: 29-17=12, Resulting Numbers: [12]\n12,74 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 74:[61, 90, 17], Operations: ['51/3=17']\nExploring Operation: 61+90=151, Resulting Numbers: [17, 151]\nGenerated Node #0,7,5: 74:[17, 151] Operation: 61+90=151\nMoving to Node #0,7,5\nCurrent State: 74:[17, 151], Operations: ['51/3=17', '61+90=151']\nExploring Operation: 151-17=134, Resulting Numbers: [134]\n134,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 51*3=153, Resulting Numbers: [61, 90, 153]\nGenerated Node #0,8: 74:[61, 90, 153] Operation: 51*3=153\nMoving to Node #0,8\nCurrent State: 74:[61, 90, 153], Operations: ['51*3=153']\nExploring Operation: 153-90=63, Resulting Numbers: [61, 63]\nGenerated Node #0,8,0: 74:[61, 63] Operation: 153-90=63\nMoving to Node #0,8,0\nCurrent State: 74:[61, 63], Operations: ['51*3=153', '153-90=63']\nExploring Operation: 61+63=124, Resulting Numbers: [124]\n124,74 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 74:[61, 63], Operations: ['51*3=153', '153-90=63']\nExploring Operation: 63-61=2, Resulting Numbers: [2]\n2,74 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 74:[61, 90, 153], Operations: ['51*3=153']\nExploring Operation: 153-61=92, Resulting Numbers: [90, 92]\nGenerated Node #0,8,1: 74:[90, 92] Operation: 153-61=92\nMoving to Node #0,8,1\nCurrent State: 74:[90, 92], Operations: ['51*3=153', '153-61=92']\nExploring Operation: 92-90=2, Resulting Numbers: [2]\n2,74 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 74:[61, 90, 153], Operations: ['51*3=153']\nExploring Operation: 90-61=29, Resulting Numbers: [153, 29]\nGenerated Node #0,8,2: 74:[153, 29] Operation: 90-61=29\nMoving to Node #0,8,2\nCurrent State: 74:[153, 29], Operations: ['51*3=153', '90-61=29']\nExploring Operation: 153-29=124, Resulting Numbers: [124]\n124,74 unequal: No Solution\nMoving to Node #0\nCurrent State: 74:[51, 61, 3, 90], Operations: []\nExploring Operation: 90-51=39, Resulting Numbers: [61, 3, 39]\nGenerated Node #0,9: 74:[61, 3, 39] Operation: 90-51=39\nMoving to Node #0,9\nCurrent State: 74:[61, 3, 39], Operations: ['90-51=39']\nExploring Operation: 61+3=64, Resulting Numbers: [39, 64]\nGenerated Node #0,9,0: 74:[39, 64] Operation: 61+3=64\nMoving to Node #0,9,0\nCurrent State: 74:[39, 64], Operations: ['90-51=39', '61+3=64']\nExploring Operation: 39+64=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 74:[39, 64], Operations: ['90-51=39', '61+3=64']\nExploring Operation: 64-39=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 74:[61, 3, 39], Operations: ['90-51=39']\nExploring Operation: 3+39=42, Resulting Numbers: [61, 42]\nGenerated Node #0,9,1: 74:[61, 42] Operation: 3+39=42\nMoving to Node #0,9,1\nCurrent State: 74:[61, 42], Operations: ['90-51=39', '3+39=42']\nExploring Operation: 61+42=103, Resulting Numbers: [103]\n103,74 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 74:[61, 42], Operations: ['90-51=39', '3+39=42']\nExploring Operation: 61-42=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 74:[61, 3, 39], Operations: ['90-51=39']\nExploring Operation: 61-3=58, Resulting Numbers: [39, 58]\nGenerated Node #0,9,2: 74:[39, 58] Operation: 61-3=58\nMoving to Node #0,9,2\nCurrent State: 74:[39, 58], Operations: ['90-51=39', '61-3=58']\nExploring Operation: 39+58=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,9,2\nCurrent State: 74:[39, 58], Operations: ['90-51=39', '61-3=58']\nExploring Operation: 58-39=19, Resulting Numbers: [19]\n19,74 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 74:[61, 3, 39], Operations: ['90-51=39']\nExploring Operation: 39-3=36, Resulting Numbers: [61, 36]\nGenerated Node #0,9,3: 74:[61, 36] Operation: 39-3=36\nMoving to Node #0,9,3\nCurrent State: 74:[61, 36], Operations: ['90-51=39', '39-3=36']\nExploring Operation: 61+36=97, Resulting Numbers: [97]\n97,74 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 74:[61, 36], Operations: ['90-51=39', '39-3=36']\nExploring Operation: 61-36=25, Resulting Numbers: [25]\n25,74 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 74:[61, 3, 39], Operations: ['90-51=39']\nExploring Operation: 3*39=117, Resulting Numbers: [61, 117]\nGenerated Node #0,9,4: 74:[61, 117] Operation: 3*39=117\nMoving to Node #0,9,4\nCurrent State: 74:[61, 117], Operations: ['90-51=39', '3*39=117']\nExploring Operation: 117-61=56, Resulting Numbers: [56]\n56,74 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 74:[61, 3, 39], Operations: ['90-51=39']\nExploring Operation: 39/3=13, Resulting Numbers: [61, 13]\nGenerated Node #0,9,5: 74:[61, 13] Operation: 39/3=13\nMoving to Node #0,9,5\nCurrent State: 74:[61, 13], Operations: ['90-51=39', '39/3=13']\nExploring Operation: 61+13=74, Resulting Numbers: [74]\n74,74 equal: Goal Reached\n", "role": "assistant" } ]