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shape(step:1)_371
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You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a target shape through a series of operations. First, I'll introduce the game's shape notation: Each shape is represented by two characters, where the first character denotes the color, and the second character denotes the shape type. The color and type correspond as follows: C: Circle; R: Rectangle; W: Windmill; Fan; S: Star; r: Red; g: Green; b: Blue ; y: Yellow; p: Purple; c: Cyan; u: Uncolored; w: White; --: Empty (No shape or color) A single layer's shape code consists of the shape codes for four quadrants, in the following order: 'Quadrant 1, Quadrant 2, Quadrant 3, Quadrant 4' For example, 'Su--Ry--' indicates that Quadrant 1 'Su' has an uncolored star, Quadrant 2 '--' is empty, Quadrant 3 'Ry' has a yellow rectangle, and Quadrant 4 '--' is empty. A shape can consist of multiple layers, with each layer represented by a shape code of up to four quadrants. The layers are arranged from bottom to top, as follows: {'Layer 1': 'Shape code for Layer 1', 'Layer 2': 'Shape code for Layer 2', 'Layer 3': 'Shape code for Layer 3', 'Layer 4': 'Shape code for Layer 4'}, the layer with the larger number is on the top. Note that not every shape has a fixed number of layers; some shapes have only one layer, while others may have two, three, or four layers. Note, each shape has a maximum of four layers. The whole shapes follows specific physical rules: 1.If a layer contains only one quadrant with a shape, that quadrant must have a corresponding shape in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' is the only shape in Layer 2, so quadrant 3 of the layer below (Layer 1) must also contain a shape, which in this case is 'Ry'. Conversely, in {'Layer 1': 'SuRy----', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' in Layer 2 is not supported by a shape in the corresponding quadrant of Layer 1, which is blank ('--'). This does not comply with physical laws. 2.If a layer contains two non-adjacent quadrants with shapes, those two quadrants must also have corresponding shapes in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': 'Sb--Wp--'}, quadrants 1 ('Sb') and 3 ('Wp') are non-adjacent shapes in Layer 2. Therefore, quadrants 1 and 3 in Layer 1 must also contain shapes, as seen in 'Su' and 'Ry'. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'Sb--Wp--'}, quadrant 1 in Layer 1 is blank ('--'), which does not conform to physical laws. 3.If a layer contains two adjacent quadrants with shapes, then at least one of those quadrants must contain a corresponding shape in the layer below. For example, in {'Layer 1': 'Su------', 'Layer 2': 'SbWp----'}, quadrants 1 ('Sb') and 2 ('Wp') are adjacent shapes in Layer 2. Therefore, either quadrant 1 or quadrant 2 in Layer 1 must contain a shape, as shown by 'Su' in quadrant 1. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'SbWp----'}, both quadrants 1 and 2 in Layer 1 are blank ('--'), which does not comply with physical laws. 4.If a layer contains three quadrants with shapes, then at least one of those quadrants must have a corresponding shape in the layer below. For example, in {'Layer 1': '--Su----', 'Layer 2': 'SbWpCb--'}, quadrants 1 ('Sb'), 2 ('Wp'), and 3 ('Cb') are the three shapes in Layer 2. Therefore, at least one of quadrants 1, 2, or 3 in Layer 1 must contain a shape, as seen in quadrant 2 with 'Su'. Conversely, in {'Layer 1': '------Ry', 'Layer 2': 'SbWpCb--'}, all quadrants in Layer 1 are blank ('--'), which does not comply with physical laws. Next, I’ll explain the available operations and the rules for each, please remember that all shapes obtained after operations must follow the laws of physics.: Cutting (removes shapes in Quadrants 1 and 2 from each layer of the input shape, as well as cut the right side of the shape, such as {layer_1: 'SuSuSuSu'} will be cut as {layer_1: '------SuSu'}); Rotate clockwise by 90° (rotates all shapes clockwise by 90°, so Quadrant 1 becomes Quadrant 2, Quadrant 2 becomes Quadrant 3, Quadrant 3 becomes Quadrant 4, and Quadrant 4 becomes Q uadrant 1), such as {layer_1: 'CgScScCg'} will be rotate clockwise as {layer_1: 'CgCgScSc'}); Rotate counterclockwise by 90° (rotates all shapes counterclockwise by 90°, so Quadrant 1 becomes Quadrant 4, Quadrant 4 becomes Quadrant 3, Quadrant 3 becomes Quadrant 2, and Quadrant 2 becomes Quadrant 1), such as {layer_1: 'CgScScCg'} will be rotate counterclockwise as {layer_1: 'ScScCgCg'}); Stacking (stacks one shape on top of another, such as stack {layer_1: 'SuSu---—'} on the top of {layer_1: 'RbRbRbRb'}, the result will be {layer_1: 'RbRbRbRb', layer_2: 'SuSu---—'}); Coloring (input a shape and a color; change the color of every shape in each quadrant of the top layer to the given color, such as colorize {layer_1: 'SuSu---—', layer_2: 'RbRbRbRb'} with color 'p', the result will be {layer_1: 'SuSu---—', layer_2: 'RpRpRpRp'}); Great, now you have become a Shapez master. From now on, you will answer my questions, and you should output the letter corresponding to your choice, and why you choose it as detailed as possible.
[ { "image_url": null, "text": "This is the original shape, with its image:.", "type": "text" }, { "image_url": { "url": 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}, "text": null, "type": "image_url" }, { "image_url": null, "text": "If you perform 1 operations on this shape, what will the resulting configuration look like? The operations are: the 1th action is rotate the shape counterclockwise 90 degrees\n. Please select the correct answer from the options below. The options are: ", "type": "text" }, { "image_url": { "url": 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" 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B
shape(step:1)_230
1
You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a target shape through a series of operations. First, I'll introduce the game's shape notation: Each shape is represented by two characters, where the first character denotes the color, and the second character denotes the shape type. The color and type correspond as follows: C: Circle; R: Rectangle; W: Windmill; Fan; S: Star; r: Red; g: Green; b: Blue ; y: Yellow; p: Purple; c: Cyan; u: Uncolored; w: White; --: Empty (No shape or color) A single layer's shape code consists of the shape codes for four quadrants, in the following order: 'Quadrant 1, Quadrant 2, Quadrant 3, Quadrant 4' For example, 'Su--Ry--' indicates that Quadrant 1 'Su' has an uncolored star, Quadrant 2 '--' is empty, Quadrant 3 'Ry' has a yellow rectangle, and Quadrant 4 '--' is empty. A shape can consist of multiple layers, with each layer represented by a shape code of up to four quadrants. The layers are arranged from bottom to top, as follows: {'Layer 1': 'Shape code for Layer 1', 'Layer 2': 'Shape code for Layer 2', 'Layer 3': 'Shape code for Layer 3', 'Layer 4': 'Shape code for Layer 4'}, the layer with the larger number is on the top. Note that not every shape has a fixed number of layers; some shapes have only one layer, while others may have two, three, or four layers. Note, each shape has a maximum of four layers. The whole shapes follows specific physical rules: 1.If a layer contains only one quadrant with a shape, that quadrant must have a corresponding shape in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' is the only shape in Layer 2, so quadrant 3 of the layer below (Layer 1) must also contain a shape, which in this case is 'Ry'. Conversely, in {'Layer 1': 'SuRy----', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' in Layer 2 is not supported by a shape in the corresponding quadrant of Layer 1, which is blank ('--'). This does not comply with physical laws. 2.If a layer contains two non-adjacent quadrants with shapes, those two quadrants must also have corresponding shapes in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': 'Sb--Wp--'}, quadrants 1 ('Sb') and 3 ('Wp') are non-adjacent shapes in Layer 2. Therefore, quadrants 1 and 3 in Layer 1 must also contain shapes, as seen in 'Su' and 'Ry'. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'Sb--Wp--'}, quadrant 1 in Layer 1 is blank ('--'), which does not conform to physical laws. 3.If a layer contains two adjacent quadrants with shapes, then at least one of those quadrants must contain a corresponding shape in the layer below. For example, in {'Layer 1': 'Su------', 'Layer 2': 'SbWp----'}, quadrants 1 ('Sb') and 2 ('Wp') are adjacent shapes in Layer 2. Therefore, either quadrant 1 or quadrant 2 in Layer 1 must contain a shape, as shown by 'Su' in quadrant 1. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'SbWp----'}, both quadrants 1 and 2 in Layer 1 are blank ('--'), which does not comply with physical laws. 4.If a layer contains three quadrants with shapes, then at least one of those quadrants must have a corresponding shape in the layer below. For example, in {'Layer 1': '--Su----', 'Layer 2': 'SbWpCb--'}, quadrants 1 ('Sb'), 2 ('Wp'), and 3 ('Cb') are the three shapes in Layer 2. Therefore, at least one of quadrants 1, 2, or 3 in Layer 1 must contain a shape, as seen in quadrant 2 with 'Su'. Conversely, in {'Layer 1': '------Ry', 'Layer 2': 'SbWpCb--'}, all quadrants in Layer 1 are blank ('--'), which does not comply with physical laws. Next, I’ll explain the available operations and the rules for each, please remember that all shapes obtained after operations must follow the laws of physics.: Cutting (removes shapes in Quadrants 1 and 2 from each layer of the input shape, as well as cut the right side of the shape, such as {layer_1: 'SuSuSuSu'} will be cut as {layer_1: '------SuSu'}); Rotate clockwise by 90° (rotates all shapes clockwise by 90°, so Quadrant 1 becomes Quadrant 2, Quadrant 2 becomes Quadrant 3, Quadrant 3 becomes Quadrant 4, and Quadrant 4 becomes Q uadrant 1), such as {layer_1: 'CgScScCg'} will be rotate clockwise as {layer_1: 'CgCgScSc'}); Rotate counterclockwise by 90° (rotates all shapes counterclockwise by 90°, so Quadrant 1 becomes Quadrant 4, Quadrant 4 becomes Quadrant 3, Quadrant 3 becomes Quadrant 2, and Quadrant 2 becomes Quadrant 1), such as {layer_1: 'CgScScCg'} will be rotate counterclockwise as {layer_1: 'ScScCgCg'}); Stacking (stacks one shape on top of another, such as stack {layer_1: 'SuSu---—'} on the top of {layer_1: 'RbRbRbRb'}, the result will be {layer_1: 'RbRbRbRb', layer_2: 'SuSu---—'}); Coloring (input a shape and a color; change the color of every shape in each quadrant of the top layer to the given color, such as colorize {layer_1: 'SuSu---—', layer_2: 'RbRbRbRb'} with color 'p', the result will be {layer_1: 'SuSu---—', layer_2: 'RpRpRpRp'}); Great, now you have become a Shapez master. From now on, you will answer my questions, and you should output the letter corresponding to your choice, and why you choose it as detailed as possible.
[ { "image_url": null, "text": "This is the original shape, with its image:.", "type": "text" }, { "image_url": { "url": "data:image/png;base64,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" }, "text": null, "type": "image_url" }, { "image_url": null, "text": "If you perform 1 operations on this shape, what will the resulting configuration look like? The operations are: the 1th action is Stack the original shape on top of the {'layer1': 'SySySySy'}.\n. Please select the correct answer from the options below. The options are: ", "type": "text" }, { "image_url": { "url": 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" 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D
shape(step:1)_108
1
You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a target shape through a series of operations. First, I'll introduce the game's shape notation: Each shape is represented by two characters, where the first character denotes the color, and the second character denotes the shape type. The color and type correspond as follows: C: Circle; R: Rectangle; W: Windmill; Fan; S: Star; r: Red; g: Green; b: Blue ; y: Yellow; p: Purple; c: Cyan; u: Uncolored; w: White; --: Empty (No shape or color) A single layer's shape code consists of the shape codes for four quadrants, in the following order: 'Quadrant 1, Quadrant 2, Quadrant 3, Quadrant 4' For example, 'Su--Ry--' indicates that Quadrant 1 'Su' has an uncolored star, Quadrant 2 '--' is empty, Quadrant 3 'Ry' has a yellow rectangle, and Quadrant 4 '--' is empty. A shape can consist of multiple layers, with each layer represented by a shape code of up to four quadrants. The layers are arranged from bottom to top, as follows: {'Layer 1': 'Shape code for Layer 1', 'Layer 2': 'Shape code for Layer 2', 'Layer 3': 'Shape code for Layer 3', 'Layer 4': 'Shape code for Layer 4'}, the layer with the larger number is on the top. Note that not every shape has a fixed number of layers; some shapes have only one layer, while others may have two, three, or four layers. Note, each shape has a maximum of four layers. The whole shapes follows specific physical rules: 1.If a layer contains only one quadrant with a shape, that quadrant must have a corresponding shape in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' is the only shape in Layer 2, so quadrant 3 of the layer below (Layer 1) must also contain a shape, which in this case is 'Ry'. Conversely, in {'Layer 1': 'SuRy----', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' in Layer 2 is not supported by a shape in the corresponding quadrant of Layer 1, which is blank ('--'). This does not comply with physical laws. 2.If a layer contains two non-adjacent quadrants with shapes, those two quadrants must also have corresponding shapes in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': 'Sb--Wp--'}, quadrants 1 ('Sb') and 3 ('Wp') are non-adjacent shapes in Layer 2. Therefore, quadrants 1 and 3 in Layer 1 must also contain shapes, as seen in 'Su' and 'Ry'. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'Sb--Wp--'}, quadrant 1 in Layer 1 is blank ('--'), which does not conform to physical laws. 3.If a layer contains two adjacent quadrants with shapes, then at least one of those quadrants must contain a corresponding shape in the layer below. For example, in {'Layer 1': 'Su------', 'Layer 2': 'SbWp----'}, quadrants 1 ('Sb') and 2 ('Wp') are adjacent shapes in Layer 2. Therefore, either quadrant 1 or quadrant 2 in Layer 1 must contain a shape, as shown by 'Su' in quadrant 1. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'SbWp----'}, both quadrants 1 and 2 in Layer 1 are blank ('--'), which does not comply with physical laws. 4.If a layer contains three quadrants with shapes, then at least one of those quadrants must have a corresponding shape in the layer below. For example, in {'Layer 1': '--Su----', 'Layer 2': 'SbWpCb--'}, quadrants 1 ('Sb'), 2 ('Wp'), and 3 ('Cb') are the three shapes in Layer 2. Therefore, at least one of quadrants 1, 2, or 3 in Layer 1 must contain a shape, as seen in quadrant 2 with 'Su'. Conversely, in {'Layer 1': '------Ry', 'Layer 2': 'SbWpCb--'}, all quadrants in Layer 1 are blank ('--'), which does not comply with physical laws. Next, I’ll explain the available operations and the rules for each, please remember that all shapes obtained after operations must follow the laws of physics.: Cutting (removes shapes in Quadrants 1 and 2 from each layer of the input shape, as well as cut the right side of the shape, such as {layer_1: 'SuSuSuSu'} will be cut as {layer_1: '------SuSu'}); Rotate clockwise by 90° (rotates all shapes clockwise by 90°, so Quadrant 1 becomes Quadrant 2, Quadrant 2 becomes Quadrant 3, Quadrant 3 becomes Quadrant 4, and Quadrant 4 becomes Q uadrant 1), such as {layer_1: 'CgScScCg'} will be rotate clockwise as {layer_1: 'CgCgScSc'}); Rotate counterclockwise by 90° (rotates all shapes counterclockwise by 90°, so Quadrant 1 becomes Quadrant 4, Quadrant 4 becomes Quadrant 3, Quadrant 3 becomes Quadrant 2, and Quadrant 2 becomes Quadrant 1), such as {layer_1: 'CgScScCg'} will be rotate counterclockwise as {layer_1: 'ScScCgCg'}); Stacking (stacks one shape on top of another, such as stack {layer_1: 'SuSu---—'} on the top of {layer_1: 'RbRbRbRb'}, the result will be {layer_1: 'RbRbRbRb', layer_2: 'SuSu---—'}); Coloring (input a shape and a color; change the color of every shape in each quadrant of the top layer to the given color, such as colorize {layer_1: 'SuSu---—', layer_2: 'RbRbRbRb'} with color 'p', the result will be {layer_1: 'SuSu---—', layer_2: 'RpRpRpRp'}); Great, now you have become a Shapez master. From now on, you will answer my questions, and you should output the letter corresponding to your choice, and why you choose it as detailed as possible.
[ { "image_url": null, "text": "This is the original shape, with its image:.", "type": "text" }, { "image_url": { "url": "data:image/png;base64,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" }, "text": null, "type": "image_url" }, { "image_url": null, "text": "If you perform 1 operations on this shape, what will the resulting configuration look like? The operations are: the 1th action is Cut the right side of the shape\n. Please select the correct answer from the options below. The options are: ", "type": "text" }, { "image_url": { "url": 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" 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C
shape(step:1)_166
1
You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a target shape through a series of operations. First, I'll introduce the game's shape notation: Each shape is represented by two characters, where the first character denotes the color, and the second character denotes the shape type. The color and type correspond as follows: C: Circle; R: Rectangle; W: Windmill; Fan; S: Star; r: Red; g: Green; b: Blue ; y: Yellow; p: Purple; c: Cyan; u: Uncolored; w: White; --: Empty (No shape or color) A single layer's shape code consists of the shape codes for four quadrants, in the following order: 'Quadrant 1, Quadrant 2, Quadrant 3, Quadrant 4' For example, 'Su--Ry--' indicates that Quadrant 1 'Su' has an uncolored star, Quadrant 2 '--' is empty, Quadrant 3 'Ry' has a yellow rectangle, and Quadrant 4 '--' is empty. A shape can consist of multiple layers, with each layer represented by a shape code of up to four quadrants. The layers are arranged from bottom to top, as follows: {'Layer 1': 'Shape code for Layer 1', 'Layer 2': 'Shape code for Layer 2', 'Layer 3': 'Shape code for Layer 3', 'Layer 4': 'Shape code for Layer 4'}, the layer with the larger number is on the top. Note that not every shape has a fixed number of layers; some shapes have only one layer, while others may have two, three, or four layers. Note, each shape has a maximum of four layers. The whole shapes follows specific physical rules: 1.If a layer contains only one quadrant with a shape, that quadrant must have a corresponding shape in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' is the only shape in Layer 2, so quadrant 3 of the layer below (Layer 1) must also contain a shape, which in this case is 'Ry'. Conversely, in {'Layer 1': 'SuRy----', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' in Layer 2 is not supported by a shape in the corresponding quadrant of Layer 1, which is blank ('--'). This does not comply with physical laws. 2.If a layer contains two non-adjacent quadrants with shapes, those two quadrants must also have corresponding shapes in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': 'Sb--Wp--'}, quadrants 1 ('Sb') and 3 ('Wp') are non-adjacent shapes in Layer 2. Therefore, quadrants 1 and 3 in Layer 1 must also contain shapes, as seen in 'Su' and 'Ry'. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'Sb--Wp--'}, quadrant 1 in Layer 1 is blank ('--'), which does not conform to physical laws. 3.If a layer contains two adjacent quadrants with shapes, then at least one of those quadrants must contain a corresponding shape in the layer below. For example, in {'Layer 1': 'Su------', 'Layer 2': 'SbWp----'}, quadrants 1 ('Sb') and 2 ('Wp') are adjacent shapes in Layer 2. Therefore, either quadrant 1 or quadrant 2 in Layer 1 must contain a shape, as shown by 'Su' in quadrant 1. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'SbWp----'}, both quadrants 1 and 2 in Layer 1 are blank ('--'), which does not comply with physical laws. 4.If a layer contains three quadrants with shapes, then at least one of those quadrants must have a corresponding shape in the layer below. For example, in {'Layer 1': '--Su----', 'Layer 2': 'SbWpCb--'}, quadrants 1 ('Sb'), 2 ('Wp'), and 3 ('Cb') are the three shapes in Layer 2. Therefore, at least one of quadrants 1, 2, or 3 in Layer 1 must contain a shape, as seen in quadrant 2 with 'Su'. Conversely, in {'Layer 1': '------Ry', 'Layer 2': 'SbWpCb--'}, all quadrants in Layer 1 are blank ('--'), which does not comply with physical laws. Next, I’ll explain the available operations and the rules for each, please remember that all shapes obtained after operations must follow the laws of physics.: Cutting (removes shapes in Quadrants 1 and 2 from each layer of the input shape, as well as cut the right side of the shape, such as {layer_1: 'SuSuSuSu'} will be cut as {layer_1: '------SuSu'}); Rotate clockwise by 90° (rotates all shapes clockwise by 90°, so Quadrant 1 becomes Quadrant 2, Quadrant 2 becomes Quadrant 3, Quadrant 3 becomes Quadrant 4, and Quadrant 4 becomes Q uadrant 1), such as {layer_1: 'CgScScCg'} will be rotate clockwise as {layer_1: 'CgCgScSc'}); Rotate counterclockwise by 90° (rotates all shapes counterclockwise by 90°, so Quadrant 1 becomes Quadrant 4, Quadrant 4 becomes Quadrant 3, Quadrant 3 becomes Quadrant 2, and Quadrant 2 becomes Quadrant 1), such as {layer_1: 'CgScScCg'} will be rotate counterclockwise as {layer_1: 'ScScCgCg'}); Stacking (stacks one shape on top of another, such as stack {layer_1: 'SuSu---—'} on the top of {layer_1: 'RbRbRbRb'}, the result will be {layer_1: 'RbRbRbRb', layer_2: 'SuSu---—'}); Coloring (input a shape and a color; change the color of every shape in each quadrant of the top layer to the given color, such as colorize {layer_1: 'SuSu---—', layer_2: 'RbRbRbRb'} with color 'p', the result will be {layer_1: 'SuSu---—', layer_2: 'RpRpRpRp'}); Great, now you have become a Shapez master. From now on, you will answer my questions, and you should output the letter corresponding to your choice, and why you choose it as detailed as possible.
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The operations are: the 1th action is Stack the original shape on top of the {'layer1': 'SpSpSpSp'}.\n. Please select the correct answer from the options below. The options are: ", "type": "text" }, { "image_url": { "url": 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" }, "text": null, "type": "image_url" } ]
D
shape(step:1)_479
1
You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a target shape through a series of operations. First, I'll introduce the game's shape notation: Each shape is represented by two characters, where the first character denotes the color, and the second character denotes the shape type. The color and type correspond as follows: C: Circle; R: Rectangle; W: Windmill; Fan; S: Star; r: Red; g: Green; b: Blue ; y: Yellow; p: Purple; c: Cyan; u: Uncolored; w: White; --: Empty (No shape or color) A single layer's shape code consists of the shape codes for four quadrants, in the following order: 'Quadrant 1, Quadrant 2, Quadrant 3, Quadrant 4' For example, 'Su--Ry--' indicates that Quadrant 1 'Su' has an uncolored star, Quadrant 2 '--' is empty, Quadrant 3 'Ry' has a yellow rectangle, and Quadrant 4 '--' is empty. A shape can consist of multiple layers, with each layer represented by a shape code of up to four quadrants. The layers are arranged from bottom to top, as follows: {'Layer 1': 'Shape code for Layer 1', 'Layer 2': 'Shape code for Layer 2', 'Layer 3': 'Shape code for Layer 3', 'Layer 4': 'Shape code for Layer 4'}, the layer with the larger number is on the top. Note that not every shape has a fixed number of layers; some shapes have only one layer, while others may have two, three, or four layers. Note, each shape has a maximum of four layers. The whole shapes follows specific physical rules: 1.If a layer contains only one quadrant with a shape, that quadrant must have a corresponding shape in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' is the only shape in Layer 2, so quadrant 3 of the layer below (Layer 1) must also contain a shape, which in this case is 'Ry'. Conversely, in {'Layer 1': 'SuRy----', 'Layer 2': '------Wp--'}, quadrant 3's 'Wp' in Layer 2 is not supported by a shape in the corresponding quadrant of Layer 1, which is blank ('--'). This does not comply with physical laws. 2.If a layer contains two non-adjacent quadrants with shapes, those two quadrants must also have corresponding shapes in the layer below. For example, in {'Layer 1': 'Su--Ry--', 'Layer 2': 'Sb--Wp--'}, quadrants 1 ('Sb') and 3 ('Wp') are non-adjacent shapes in Layer 2. Therefore, quadrants 1 and 3 in Layer 1 must also contain shapes, as seen in 'Su' and 'Ry'. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'Sb--Wp--'}, quadrant 1 in Layer 1 is blank ('--'), which does not conform to physical laws. 3.If a layer contains two adjacent quadrants with shapes, then at least one of those quadrants must contain a corresponding shape in the layer below. For example, in {'Layer 1': 'Su------', 'Layer 2': 'SbWp----'}, quadrants 1 ('Sb') and 2 ('Wp') are adjacent shapes in Layer 2. Therefore, either quadrant 1 or quadrant 2 in Layer 1 must contain a shape, as shown by 'Su' in quadrant 1. Conversely, in {'Layer 1': '----Ry--', 'Layer 2': 'SbWp----'}, both quadrants 1 and 2 in Layer 1 are blank ('--'), which does not comply with physical laws. 4.If a layer contains three quadrants with shapes, then at least one of those quadrants must have a corresponding shape in the layer below. For example, in {'Layer 1': '--Su----', 'Layer 2': 'SbWpCb--'}, quadrants 1 ('Sb'), 2 ('Wp'), and 3 ('Cb') are the three shapes in Layer 2. Therefore, at least one of quadrants 1, 2, or 3 in Layer 1 must contain a shape, as seen in quadrant 2 with 'Su'. Conversely, in {'Layer 1': '------Ry', 'Layer 2': 'SbWpCb--'}, all quadrants in Layer 1 are blank ('--'), which does not comply with physical laws. Next, I’ll explain the available operations and the rules for each, please remember that all shapes obtained after operations must follow the laws of physics.: Cutting (removes shapes in Quadrants 1 and 2 from each layer of the input shape, as well as cut the right side of the shape, such as {layer_1: 'SuSuSuSu'} will be cut as {layer_1: '------SuSu'}); Rotate clockwise by 90° (rotates all shapes clockwise by 90°, so Quadrant 1 becomes Quadrant 2, Quadrant 2 becomes Quadrant 3, Quadrant 3 becomes Quadrant 4, and Quadrant 4 becomes Q uadrant 1), such as {layer_1: 'CgScScCg'} will be rotate clockwise as {layer_1: 'CgCgScSc'}); Rotate counterclockwise by 90° (rotates all shapes counterclockwise by 90°, so Quadrant 1 becomes Quadrant 4, Quadrant 4 becomes Quadrant 3, Quadrant 3 becomes Quadrant 2, and Quadrant 2 becomes Quadrant 1), such as {layer_1: 'CgScScCg'} will be rotate counterclockwise as {layer_1: 'ScScCgCg'}); Stacking (stacks one shape on top of another, such as stack {layer_1: 'SuSu---—'} on the top of {layer_1: 'RbRbRbRb'}, the result will be {layer_1: 'RbRbRbRb', layer_2: 'SuSu---—'}); Coloring (input a shape and a color; change the color of every shape in each quadrant of the top layer to the given color, such as colorize {layer_1: 'SuSu---—', layer_2: 'RbRbRbRb'} with color 'p', the result will be {layer_1: 'SuSu---—', layer_2: 'RpRpRpRp'}); Great, now you have become a Shapez master. From now on, you will answer my questions, and you should output the letter corresponding to your choice, and why you choose it as detailed as possible.
[ { "image_url": null, "text": "This is the original shape, with its image:.", "type": "text" }, { "image_url": { "url": 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}, "text": null, "type": "image_url" }, { "image_url": null, "text": "If you perform 1 operations on this shape, what will the resulting configuration look like? The operations are: the 1th action is rotate the shape clockwise 90 degrees\n. Please select the correct answer from the options below. The options are: ", "type": "text" }, { "image_url": { "url": 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"\n You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a(...TRUNCATED)
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"\n You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a(...TRUNCATED)
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"\n You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a(...TRUNCATED)
[{"image_url":null,"text":"This is the original shape, with its image:.","type":"text"},{"image_url"(...TRUNCATED)
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"\n You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a(...TRUNCATED)
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"\n You are a player of the game Shapez, and your goal is to transform a set of raw shapes into a(...TRUNCATED)
[{"image_url":null,"text":"This is the original shape, with its image:.","type":"text"},{"image_url"(...TRUNCATED)
A
End of preview. Expand in Data Studio

Infinite Bench (Inf-Bench)

This repository contains the Infinite Bench (Inf-Bench), a novel evaluation framework for assessing the performance of Vision-Language Models (VLMs) in spatial deformation reasoning tasks.

Files

The dataset is available as a parquet file on Hugging Face, ready for processing with HF Datasets. It can be loaded using the following code:

from datasets import load_dataset
inf_bench = load_dataset("Chrishuanhuan/Inf-Bench")

Dataset Description

Inf-Bench quantitatively evaluates the spatial deformation reasoning capabilities of Vision-Language Models (VLMs). Unlike existing spatial reasoning benchmarks that focus on tasks like "which is higher" or "find the shortest path" with fixed difficulty levels, Inf-Bench introduces questions requiring forward and reverse spatial deformation reasoning across 2D-3D contexts.

Our benchmark is designed for spatial deformation reasoning from 2D to 3D. Leveraging our data engine, we can generate an unlimited number of evaluation problem pairs with infinite steps, without any data leakage. This ensures that the benchmark remains challenging as models improve.

The dataset contains the following fields:

Field Name Description
id Global index of the entry in the dataset
steps_number Number of deformation steps in the problem
system_prompt System prompt providing instructions for the task
user_prompt Contains task input, including text and images
ground_truth Ground truth answer for the question

Spatial Dimensions

Inf-Bench includes three levels of spatial reasoning tasks:

  1. 2D Tasks: Inspired by single-plane deformation in Shapez, these tasks evaluate the model's ability to recognize objects and perform shape transformations in a two-dimensional plane. Shapes are single-layer figures divided into four quadrants, each containing one of four predefined patterns or an "empty" state. Operations include cutting, rotating, and coloring.

  2. 2.5D Tasks: Extending the 2D task, this level adds a vertical stacking dimension, creating a multi-layer deformation challenge. Each planar figure is expanded into a stacked structure with up to four layers. Models must perform intra-layer transformations and reason about alignment across layers.

  3. 3D Tasks: Based on the Rubik's Cube, these tasks test the ability to manipulate and reason spatially in three dimensions. The Cube has 27 units, forming 54 visible faces that can change position and orientation through rotations.

Task Types

For each spatial dimension, Inf-Bench includes two types of reasoning tasks:

  1. Forward Reasoning: Given the operations, find the final state.

  2. Reverse Reasoning: Given the final state, determine the operations needed to achieve it.

Ladder Competition Framework

Inf-Bench adopts a ladder competition format to systematically evaluate models' performance. The key features are:

  • Models begin at the lowest difficulty level (R = 1) with only one step deformation
  • Each level consists of five questions
  • If a model correctly answers at least 3 questions, it advances to a higher difficulty level
  • If it answers fewer than 3 questions correctly, it remains at the same level and failure count increases
  • If a model fails twice at the same level, the competition ends

The final value of R (reasoning depth) represents the model's spatial deformation reasoning capability and serves as the Inf-Bench metric.

Evaluation

Our benchmark evaluation reveals that almost no current model demonstrates true spatial deformation reasoning abilities. Even after applying targeted classical training and mainstream reasoning enhancement methods, the models are unable to perform effective 3D spatial deformation reasoning.

We provide evaluation code in our GitHub repository, including the metrics implementation used in our framework.

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