Category
stringclasses 4
values | Task
stringclasses 12
values | Level
stringclasses 5
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stringlengths 1
51
| Question
stringclasses 197
values | Choices
listlengths 4
4
| Answer
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MentalAnimation | ArrowMoving | Level0 | 0-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Left, 2 units)--(Left, 1 unit)",
"(Forward, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Backward, 2 units)",
"(Forward, 1 unit)--(Left, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'CAB': 'Option CAB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 1-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 1 unit)--(Left, 1 unit)",
"(Backward, 1 unit)--(Left, 1 unit)",
"(Left, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Backward, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DAB': 'Option DAB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 2-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Forward, 1 unit)",
"(Right, 1 unit)--(Right, 1 unit)",
"(Right, 1 unit)--(Backward, 1 unit)",
"(Right, 2 units)--(Right, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial arrow can be transformed into the final arrow.', 'DCB': 'Option DCB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 3-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 2 units)--(Left, 1 unit)",
"(Right, 1 unit)--(Left, 2 units)",
"(Right, 2 units)--(Left, 2 units)",
"(Forward, 1 unit)--(Right, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DAB': 'Option DAB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 4-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 2 units)--(Backward, 1 unit)",
"(Left, 1 unit)--(Forward, 1 unit)",
"(Backward, 1 unit)--(Right, 2 units)",
"(Left, 2 units)--(Backward, 2 units)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'ABC': 'Option ABC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 5-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Right, 1 unit)",
"(Backward, 2 units)--(Right, 1 unit)",
"(Backward, 2 units)--(Right, 1 unit)",
"(Right, 1 unit)--(Backward, 2 units)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'BCA': 'Option BCA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 6-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 1 unit)--(Left, 2 units)",
"(Right, 1 unit)--(Left, 1 unit)",
"(Forward, 2 units)--(Right, 1 unit)",
"(Left, 1 unit)--(Backward, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial arrow can be transformed into the final arrow.', 'BCD': 'Option BCD is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 7-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 2 units)--(Backward, 1 unit)",
"(Left, 1 unit)--(Left, 2 units)",
"(Backward, 2 units)--(Right, 1 unit)",
"(Left, 1 unit)--(Left, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial arrow can be transformed into the final arrow.', 'DCB': 'Option DCB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 8-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Left, 2 units)--(Left, 1 unit)",
"(Backward, 1 unit)--(Right, 2 units)",
"(Backward, 2 units)--(Right, 2 units)",
"(Backward, 1 unit)--(Backward, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial arrow can be transformed into the final arrow.', 'BCD': 'Option BCD is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 9-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Backward, 1 unit)",
"(Backward, 1 unit)--(Backward, 2 units)",
"(Right, 1 unit)--(Right, 1 unit)",
"(Left, 1 unit)--(Backward, 2 units)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'ADC': 'Option ADC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 10-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 1 unit)--(Left, 1 unit)",
"(Left, 2 units)--(Backward, 2 units)",
"(Forward, 1 unit)--(Backward, 1 unit)",
"(Left, 1 unit)--(Forward, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'CDA': 'Option CDA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 11-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 1 unit)--(Backward, 1 unit)",
"(Forward, 2 units)--(Left, 2 units)",
"(Left, 1 unit)--(Backward, 1 unit)",
"(Left, 2 units)--(Right, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'BCA': 'Option BCA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 12-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Left, 2 units)",
"(Right, 2 units)--(Right, 2 units)",
"(Right, 1 unit)--(Right, 1 unit)",
"(Backward, 2 units)--(Backward, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'DAC': 'Option DAC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 13-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Right, 1 unit)",
"(Forward, 1 unit)--(Backward, 1 unit)",
"(Left, 1 unit)--(Right, 1 unit)",
"(Left, 1 unit)--(Right, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'CDA': 'Option CDA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 14-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Left, 1 unit)--(Forward, 1 unit)",
"(Left, 2 units)--(Backward, 2 units)",
"(Left, 2 units)--(Right, 2 units)",
"(Left, 2 units)--(Right, 2 units)"
]
| A | {'A': 'Option A is correct because the initial arrow can be transformed into the final arrow.', 'DCB': 'Option DCB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 15-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Left, 2 units)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Left, 1 unit)",
"(Left, 2 units)--(Left, 1 unit)",
"(Left, 1 unit)--(Left, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'BAC': 'Option BAC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 16-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 2 units)--(Backward, 1 unit)",
"(Left, 1 unit)--(Forward, 1 unit)",
"(Left, 2 units)--(Backward, 1 unit)",
"(Forward, 2 units)--(Left, 2 units)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DBA': 'Option DBA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 17-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 1 unit)--(Right, 1 unit)",
"(Backward, 1 unit)--(Left, 1 unit)",
"(Backward, 1 unit)--(Left, 1 unit)",
"(Right, 2 units)--(Backward, 2 units)"
]
| A | {'A': 'Option A is correct because the initial arrow can be transformed into the final arrow.', 'CBD': 'Option CBD is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 18-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Backward, 1 unit)",
"(Left, 2 units)--(Right, 1 unit)",
"(Left, 1 unit)--(Right, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'DAC': 'Option DAC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 19-3-3-2 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 2 units)--(Right, 2 units)",
"(Forward, 2 units)--(Backward, 1 unit)",
"(Forward, 2 units)--(Right, 1 unit)",
"(Right, 1 unit)--(Left, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DBA': 'Option DBA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 20-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Left, 2 units)--(Left, 1 unit)",
"(Forward, 1 unit)--(Right, 1 unit)--(Right, 2 units)",
"(Right, 1 unit)--(Backward, 1 unit)--(Left, 1 unit)",
"(Right, 2 units)--(Left, 1 unit)--(Backward, 2 units)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'BDA': 'Option BDA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 21-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Backward, 1 unit)--(Right, 1 unit)",
"(Left, 1 unit)--(Left, 2 units)--(Backward, 2 units)",
"(Backward, 1 unit)--(Right, 1 unit)--(Backward, 1 unit)",
"(Right, 1 unit)--(Backward, 2 units)--(Backward, 2 units)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'ADC': 'Option ADC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 22-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 1 unit)--(Forward, 1 unit)--(Right, 1 unit)",
"(Backward, 2 units)--(Left, 1 unit)--(Left, 1 unit)",
"(Right, 1 unit)--(Backward, 1 unit)--(Left, 2 units)",
"(Right, 1 unit)--(Backward, 1 unit)--(Left, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'BAD': 'Option BAD is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 23-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 2 units)--(Right, 1 unit)--(Backward, 1 unit)",
"(Left, 2 units)--(Left, 2 units)--(Backward, 1 unit)",
"(Left, 2 units)--(Backward, 2 units)--(Backward, 2 units)",
"(Backward, 2 units)--(Backward, 1 unit)--(Left, 2 units)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'ACD': 'Option ACD is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 24-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Left, 2 units)--(Backward, 1 unit)--(Right, 1 unit)",
"(Left, 1 unit)--(Left, 1 unit)--(Left, 1 unit)",
"(Left, 1 unit)--(Forward, 1 unit)--(Left, 1 unit)",
"(Backward, 1 unit)--(Right, 2 units)--(Right, 2 units)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'ABC': 'Option ABC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 25-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 1 unit)--(Right, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Left, 1 unit)--(Left, 2 units)",
"(Forward, 1 unit)--(Backward, 1 unit)--(Right, 1 unit)",
"(Left, 1 unit)--(Backward, 1 unit)--(Right, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'ACD': 'Option ACD is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 26-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 2 units)--(Backward, 2 units)--(Backward, 1 unit)",
"(Right, 1 unit)--(Backward, 2 units)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Left, 1 unit)--(Backward, 2 units)",
"(Right, 1 unit)--(Left, 1 unit)--(Backward, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DAB': 'Option DAB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 27-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 1 unit)--(Forward, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Right, 1 unit)--(Backward, 1 unit)",
"(Right, 1 unit)--(Left, 1 unit)--(Forward, 1 unit)",
"(Forward, 2 units)--(Backward, 2 units)--(Backward, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'ACD': 'Option ACD is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 28-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 1 unit)--(Backward, 1 unit)--(Right, 1 unit)",
"(Backward, 1 unit)--(Backward, 2 units)--(Left, 1 unit)",
"(Right, 1 unit)--(Right, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Backward, 2 units)--(Left, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DBA': 'Option DBA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 29-3-3-3 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 2 units)--(Backward, 1 unit)--(Right, 1 unit)",
"(Backward, 1 unit)--(Forward, 1 unit)--(Left, 2 units)",
"(Right, 1 unit)--(Forward, 1 unit)--(Backward, 1 unit)",
"(Right, 1 unit)--(Forward, 1 unit)--(Backward, 2 units)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'CBA': 'Option CBA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 30-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 2 units)--(Backward, 1 unit)--(Left, 2 units)--(Backward, 1 unit)",
"(Right, 1 unit)--(Forward, 1 unit)--(Backward, 1 unit)--(Forward, 1 unit)",
"(Forward, 2 units)--(Backward, 2 units)--(Backward, 2 units)--(Backward, 2 units)",
"(Right, 1 unit)--(Forward, 1 unit)--(Backward, 2 units)--(Right, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'DCA': 'Option DCA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 31-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Left, 2 units)--(Backward, 2 units)--(Backward, 1 unit)--(Forward, 1 unit)",
"(Left, 1 unit)--(Backward, 1 unit)--(Left, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Backward, 1 unit)--(Backward, 1 unit)--(Forward, 1 unit)",
"(Left, 2 units)--(Right, 2 units)--(Backward, 2 units)--(Left, 2 units)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'BAC': 'Option BAC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 32-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 1 unit)--(Backward, 1 unit)--(Right, 1 unit)--(Backward, 2 units)",
"(Backward, 1 unit)--(Backward, 1 unit)--(Forward, 1 unit)--(Right, 1 unit)",
"(Backward, 1 unit)--(Backward, 1 unit)--(Backward, 1 unit)--(Backward, 2 units)",
"(Forward, 1 unit)--(Left, 1 unit)--(Left, 2 units)--(Backward, 2 units)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'BAC': 'Option BAC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 33-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Backward, 1 unit)--(Right, 2 units)--(Right, 1 unit)",
"(Backward, 1 unit)--(Left, 2 units)--(Left, 2 units)--(Left, 2 units)",
"(Right, 2 units)--(Backward, 2 units)--(Backward, 2 units)--(Right, 1 unit)",
"(Forward, 1 unit)--(Right, 1 unit)--(Forward, 1 unit)--(Right, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'CAB': 'Option CAB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 34-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Forward, 1 unit)--(Left, 1 unit)--(Backward, 1 unit)--(Right, 2 units)",
"(Left, 1 unit)--(Backward, 1 unit)--(Forward, 1 unit)--(Backward, 2 units)",
"(Backward, 1 unit)--(Backward, 1 unit)--(Right, 1 unit)--(Backward, 1 unit)",
"(Backward, 1 unit)--(Left, 1 unit)--(Left, 2 units)--(Backward, 2 units)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'ADB': 'Option ADB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 35-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Right, 1 unit)--(Right, 2 units)--(Backward, 2 units)",
"(Right, 1 unit)--(Backward, 1 unit)--(Right, 1 unit)--(Backward, 1 unit)",
"(Backward, 1 unit)--(Left, 1 unit)--(Left, 1 unit)--(Left, 1 unit)",
"(Backward, 1 unit)--(Backward, 2 units)--(Backward, 2 units)--(Backward, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial arrow can be transformed into the final arrow.', 'ADC': 'Option ADC is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 36-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Backward, 1 unit)--(Right, 1 unit)--(Backward, 2 units)--(Backward, 2 units)",
"(Right, 1 unit)--(Right, 1 unit)--(Right, 2 units)--(Backward, 2 units)",
"(Left, 1 unit)--(Right, 1 unit)--(Backward, 2 units)--(Left, 2 units)",
"(Backward, 1 unit)--(Right, 1 unit)--(Backward, 2 units)--(Left, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'CAB': 'Option CAB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 37-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 1 unit)--(Right, 2 units)--(Right, 2 units)--(Backward, 2 units)",
"(Backward, 1 unit)--(Right, 1 unit)--(Right, 1 unit)--(Backward, 1 unit)",
"(Right, 1 unit)--(Backward, 2 units)--(Left, 1 unit)--(Backward, 1 unit)",
"(Right, 1 unit)--(Right, 1 unit)--(Right, 2 units)--(Backward, 2 units)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DAB': 'Option DAB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 38-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 2 units)--(Backward, 1 unit)--(Backward, 1 unit)--(Left, 2 units)",
"(Forward, 2 units)--(Right, 2 units)--(Backward, 1 unit)--(Forward, 1 unit)",
"(Forward, 2 units)--(Right, 2 units)--(Backward, 1 unit)--(Left, 2 units)",
"(Forward, 2 units)--(Right, 2 units)--(Right, 2 units)--(Right, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial arrow can be transformed into the final arrow.', 'ACB': 'Option ACB is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level0 | 39-3-3-4 | In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D. | [
"(Right, 2 units)--(Right, 1 unit)--(Backward, 1 unit)--(Backward, 2 units)",
"(Right, 1 unit)--(Right, 2 units)--(Right, 1 unit)--(Backward, 2 units)",
"(Backward, 2 units)--(Backward, 2 units)--(Right, 1 unit)--(Right, 1 unit)",
"(Backward, 2 units)--(Left, 1 unit)--(Left, 2 units)--(Left, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial arrow can be transformed into the final arrow.', 'DBA': 'Option DBA is incorrect because the initial arrow cannot be transformed into the final arrow.'} |
MentalAnimation | ArrowMoving | Level1 | 0-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((0, 0) Left, 2 units)--((1, 0) Right, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ABD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 1-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((2, 1) Forward, 1 unit)--((0, 1) Left, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ABD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 2-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((1, 1) Backward, 1 unit)--((2, 1) Right, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 3-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 0) Backward, 1 unit)--((2, 1) Forward, 2 units)",
"((2, 0) Right, 1 unit)--((1, 0) Backward, 1 unit)",
"((2, 1) Left, 1 unit)--((2, 0) Right, 1 unit)",
"((2, 1) Forward, 2 units)--((0, 1) Left, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'DCB': 'Option DCB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 4-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((0, 0) Backward, 2 units)--((2, 0) Backward, 1 unit)",
"((0, 2) Forward, 2 units)--((2, 2) Right, 2 units)",
"((0, 1) Forward, 1 unit)--((1, 1) Left, 1 unit)",
"((0, 0) Right, 2 units)--((0, 1) Forward, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 5-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((0, 0) Left, 1 unit)--((2, 1) Left, 1 unit)",
"((2, 1) Forward, 2 units)--((0, 0) Left, 2 units)",
"((2, 2) Backward, 1 unit)--((2, 1) Backward, 1 unit)",
"((0, 0) Backward, 2 units)--((2, 1) Forward, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'DCB': 'Option DCB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 6-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((2, 0) Forward, 2 units)--((0, 0) Right, 1 unit)",
"((1, 2) Right, 1 unit)--((2, 0) Forward, 2 units)",
"((2, 0) Forward, 1 unit)--((0, 0) Right, 2 units)",
"((1, 2) Right, 1 unit)--((2, 2) Backward, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'CAB': 'Option CAB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 7-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 2) Forward, 1 unit)--((0, 0) Left, 1 unit)",
"((0, 2) Backward, 1 unit)--((2, 0) Left, 1 unit)",
"((0, 0) Left, 1 unit)--((0, 1) Right, 1 unit)",
"((1, 2) Backward, 1 unit)--((0, 2) Backward, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'BAD': 'Option BAD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 8-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((1, 0) Left, 1 unit)--((0, 0) Backward, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'ABC': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 9-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 0) Forward, 2 units)--((1, 2) Right, 1 unit)",
"((1, 0) Left, 1 unit)--((2, 1) Forward, 1 unit)",
"((2, 1) Forward, 1 unit)--((1, 0) Forward, 1 unit)",
"((1, 1) Left, 1 unit)--((2, 1) Backward, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'CDB': 'Option CDB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 10-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((0, 2) Left, 2 units)--((1, 0) Backward, 2 units)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'ACD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 11-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((0, 0) Right, 1 unit)--((2, 0) Right, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'ABC': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 12-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 2) Backward, 1 unit)--((2, 1) Forward, 2 units)",
"((2, 1) Right, 1 unit)--((1, 0) Right, 1 unit)",
"((0, 0) Left, 1 unit)--((2, 2) Right, 1 unit)",
"((2, 1) Forward, 1 unit)--((1, 1) Backward, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'DBA': 'Option DBA is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 13-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 1) Left, 1 unit)--((1, 0) Right, 1 unit)",
"((1, 0) Left, 1 unit)--((2, 0) Backward, 2 units)",
"((1, 0) Left, 1 unit)--((1, 0) Forward, 1 unit)",
"((1, 1) Right, 1 unit)--((0, 0) Right, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'DBC': 'Option DBC is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 14-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 0) Backward, 1 unit)--((1, 2) Backward, 1 unit)",
"((1, 1) Left, 1 unit)--((1, 1) Forward, 1 unit)",
"((1, 1) Right, 1 unit)--((1, 1) Left, 1 unit)",
"((1, 2) Forward, 1 unit)--((0, 2) Backward, 1 unit)"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'DCB': 'Option DCB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 15-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((0, 1) Backward, 1 unit)--((0, 2) Right, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'ACD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 16-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((0, 1) Right, 1 unit)--((0, 0) Backward, 2 units)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'ACD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 17-3-3-2 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 0) Right, 1 unit)--((0, 1) Forward, 2 units)",
"((0, 2) Forward, 2 units)--((2, 1) Forward, 1 unit)",
"((1, 0) Forward, 1 unit)--((2, 0) Right, 2 units)",
"((0, 1) Right, 1 unit)--((2, 0) Forward, 2 units)"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'BCA': 'Option BCA is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 18-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((2, 2) Right, 1 unit)--((1, 2) Backward, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'ABC': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 19-3-3-2 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((2, 1) Forward, 2 units)--((1, 2) Forward, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'ABC': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 20-3-3-3 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((2, 1) Forward, 1 unit)--((1, 0) Left, 1 unit)--((2, 0) Right, 2 units)",
"((2, 2) Forward, 1 unit)--((2, 0) Forward, 1 unit)--((2, 0) Backward, 1 unit)",
"((2, 2) Forward, 1 unit)--((2, 2) Backward, 2 units)--((1, 0) Forward, 1 unit)",
"((2, 0) Forward, 1 unit)--((2, 0) Backward, 1 unit)--((1, 0) Forward, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'DAC': 'Option DAC is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 21-3-3-3 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((0, 0) Left, 1 unit)--((0, 1) Right, 2 units)--((2, 1) Left, 1 unit)",
"((1, 1) Left, 1 unit)--((0, 0) Left, 2 units)--((2, 1) Left, 1 unit)",
"((0, 0) Left, 1 unit)--((2, 1) Backward, 1 unit)--((2, 2) Left, 1 unit)",
"((2, 1) Backward, 1 unit)--((0, 0) Backward, 1 unit)--((2, 1) Right, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'BDA': 'Option BDA is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 22-3-3-3 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((1, 2) Left, 1 unit)--((0, 1) Forward, 1 unit)--((0, 0) Forward, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'ABC': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 23-3-3-3 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 1) Left, 1 unit)--((0, 0) Left, 2 units)--((0, 1) Right, 2 units)",
"((0, 1) Backward, 1 unit)--((2, 2) Right, 2 units)--((0, 1) Backward, 1 unit)",
"((2, 2) Right, 2 units)--((1, 1) Left, 1 unit)--((0, 1) Forward, 1 unit)",
"((0, 1) Forward, 1 unit)--((1, 1) Forward, 1 unit)--((2, 1) Backward, 2 units)"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 24-3-3-3 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((2, 2) Right, 2 units)--((1, 2) Forward, 1 unit)--((1, 1) Left, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ABD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 25-3-3-3 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((0, 2) Forward, 1 unit)--((1, 1) Left, 1 unit)--((1, 2) Forward, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'ACD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 26-3-3-3 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((2, 0) Left, 2 units)--((0, 2) Left, 1 unit)--((2, 2) Forward, 1 unit)",
"((0, 0) Left, 2 units)--((2, 0) Backward, 1 unit)--((0, 0) Backward, 2 units)",
"((0, 1) Left, 1 unit)--((1, 1) Left, 1 unit)--((2, 0) Forward, 1 unit)",
"((0, 0) Backward, 2 units)--((0, 0) Backward, 1 unit)--((0, 2) Backward, 1 unit)"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'ACB': 'Option ACB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 27-3-3-3 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((0, 1) Right, 1 unit)--((2, 2) Forward, 1 unit)--((1, 2) Left, 2 units)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 28-3-3-3 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 2) Left, 1 unit)--((2, 2) Backward, 2 units)--((0, 1) Right, 1 unit)",
"((1, 2) Left, 1 unit)--((0, 1) Backward, 1 unit)--((2, 0) Left, 1 unit)",
"((2, 0) Left, 2 units)--((2, 0) Backward, 1 unit)--((1, 2) Right, 1 unit)",
"((2, 0) Left, 2 units)--((2, 2) Backward, 1 unit)--((0, 2) Backward, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ADB': 'Option ADB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 29-3-3-3 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((2, 2) Backward, 2 units)--((1, 0) Right, 1 unit)--((0, 1) Right, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the target state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 30-3-3-4 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((0, 0) Forward, 1 unit)--((1, 2) Forward, 1 unit)--((1, 2) Backward, 1 unit)--((2, 1) Backward, 1 unit)",
"((2, 1) Right, 1 unit)--((1, 1) Left, 1 unit)--((0, 0) Forward, 1 unit)--((2, 0) Backward, 2 units)",
"((0, 1) Backward, 1 unit)--((0, 0) Left, 2 units)--((1, 2) Left, 1 unit)--((2, 1) Backward, 1 unit)",
"((0, 1) Right, 2 units)--((0, 1) Backward, 1 unit)--((1, 1) Left, 1 unit)--((0, 1) Right, 1 unit)"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ADB': 'Option ADB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 31-3-3-4 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((1, 0) Backward, 1 unit)--((2, 2) Backward, 1 unit)--((2, 1) Forward, 1 unit)--((2, 2) Left, 2 units)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ABD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 32-3-3-4 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((2, 1) Right, 2 units)--((1, 0) Left, 2 units)--((1, 1) Backward, 1 unit)--((2, 1) Backward, 2 units)",
"((0, 1) Forward, 2 units)--((2, 1) Backward, 2 units)--((0, 1) Right, 1 unit)--((0, 2) Right, 1 unit)",
"((1, 0) Backward, 1 unit)--((0, 1) Forward, 1 unit)--((0, 1) Right, 1 unit)--((0, 2) Right, 2 units)",
"((1, 0) Left, 2 units)--((0, 1) Forward, 1 unit)--((0, 1) Left, 1 unit)--((1, 2) Backward, 2 units)"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'CAB': 'Option CAB is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 33-3-3-4 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((2, 2) Right, 2 units)--((1, 2) Forward, 1 unit)--((0, 0) Right, 2 units)--((2, 0) Right, 2 units)",
"((1, 2) Forward, 1 unit)--((0, 2) Backward, 1 unit)--((2, 2) Right, 2 units)--((2, 2) Left, 2 units)",
"((1, 1) Left, 1 unit)--((0, 0) Backward, 1 unit)--((1, 0) Left, 1 unit)--((2, 0) Backward, 2 units)",
"((1, 2) Left, 2 units)--((2, 2) Backward, 2 units)--((0, 0) Backward, 1 unit)--((2, 0) Left, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'DCA': 'Option DCA is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 34-3-3-4 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 0) Left, 1 unit)--((1, 2) Right, 2 units)--((2, 0) Backward, 2 units)--((1, 2) Backward, 1 unit)",
"((1, 0) Left, 1 unit)--((2, 0) Backward, 1 unit)--((2, 1) Left, 1 unit)--((2, 0) Right, 1 unit)",
"((2, 0) Left, 1 unit)--((2, 0) Right, 1 unit)--((1, 0) Right, 2 units)--((0, 0) Right, 1 unit)",
"((2, 0) Left, 1 unit)--((2, 0) Backward, 1 unit)--((0, 0) Forward, 2 units)--((0, 2) Backward, 1 unit)"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'DAC': 'Option DAC is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 35-3-3-4 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 1) Left, 1 unit)--((2, 1) Backward, 1 unit)--((1, 2) Left, 1 unit)--((2, 0) Forward, 1 unit)",
"((2, 0) Left, 1 unit)--((1, 1) Forward, 1 unit)--((1, 0) Right, 1 unit)--((2, 2) Right, 2 units)",
"((2, 2) Forward, 2 units)--((2, 2) Left, 1 unit)--((1, 2) Forward, 1 unit)--((2, 0) Backward, 2 units)",
"((2, 0) Left, 1 unit)--((1, 0) Right, 2 units)--((1, 0) Right, 1 unit)--((0, 0) Right, 2 units)"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the target state.', 'BAC': 'Option BAC is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 36-3-3-4 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((2, 2) Left, 2 units)--((1, 2) Backward, 1 unit)--((1, 0) Right, 1 unit)--((0, 2) Backward, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'ACD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 37-3-3-4 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 1) Right, 1 unit)--((0, 1) Right, 1 unit)--((2, 0) Left, 2 units)--((0, 1) Right, 1 unit)",
"((2, 2) Left, 1 unit)--((1, 1) Right, 1 unit)--((2, 0) Forward, 2 units)--((0, 1) Forward, 2 units)",
"((0, 0) Right, 1 unit)--((1, 1) Right, 1 unit)--((0, 1) Backward, 1 unit)--((1, 2) Right, 1 unit)",
"((1, 1) Left, 1 unit)--((2, 2) Forward, 2 units)--((1, 0) Right, 1 unit)--((2, 0) Forward, 2 units)"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the target state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 38-3-3-4 | The left image shows the initial state, and the right image shows the final state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. Which of the following paths can transform the grid from the initial state to the final state? Please answer from options A, B, C, or D. | [
"((1, 1) Left, 1 unit)--((1, 0) Left, 2 units)--((1, 2) Backward, 1 unit)--((0, 1) Backward, 2 units)",
"((1, 0) Backward, 1 unit)--((0, 0) Right, 2 units)--((1, 1) Right, 1 unit)--((0, 2) Right, 1 unit)",
"((1, 0) Backward, 1 unit)--((1, 1) Right, 1 unit)--((2, 1) Right, 1 unit)--((0, 0) Right, 2 units)",
"((1, 1) Left, 1 unit)--((1, 0) Backward, 1 unit)--((0, 1) Backward, 1 unit)--((0, 0) Right, 2 units)"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'BAD': 'Option BAD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | ArrowMoving | Level1 | 39-3-3-4 | The left image shows the initial state. Arrows can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. If the target position is empty, the arrow can move there directly; otherwise, it needs to swap with the arrow at the target position, and both arrows' movements should satisfy the aforementioned requirements. After the transformations '((1, 1) Forward, 1 unit)--((0, 1) Left, 1 unit)--((0, 0) Backward, 2 units)--((0, 2) Right, 1 unit)', which state from the options can be reached? Please answer from options A, B, C, or D. | [
"A",
"B",
"C",
"D"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the target state.', 'ABD': 'Option BCD is incorrect because the initial state cannot be transformed into the target state.'} |
MentalAnimation | BlockMoving | Level0 | 0-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 0, 0) y+ -- (1, 1, 0) y- -- (2, 1, 0) y+",
"(1, 0, 0) y+ -- (2, 1, 0) y+ -- (2, 0, 0) y+",
"(2, 2, 0) x- -- (2, 0, 0) x-",
"(1, 0, 0) x- -- (2, 0, 0) y+ -- (2, 2, 0) y-"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 1-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 0, 0) y+ -- (1, 1, 0) y- -- (1, 1, 0) y+",
"(0, 0, 0) y+ -- (2, 0, 0) x- -- (1, 0, 0) x-",
"(0, 1, 0) y- -- (1, 1, 0) x- -- (2, 0, 0) y+",
"(2, 0, 0) y+ -- (2, 1, 0) y- -- (0, 0, 0) x+"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 2-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 2, 0) x- -- (1, 1, 0) y- -- (2, 1, 0) y+",
"(1, 1, 0) x+ -- (2, 1, 0) y+ -- (2, 2, 0) y-",
"(1, 1, 0) x- -- (2, 1, 0) y- -- (0, 2, 0) y-",
"(1, 2, 0) x+ -- (1, 1, 0) x+ -- (1, 1, 0) y+"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 3-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(0, 0, 0) y+ -- (1, 0, 0) x+ -- (1, 0, 0) x+",
"(1, 0, 0) y+ -- (1, 0, 0) y+",
"(1, 1, 0) y+ -- (2, 0, 0) x- -- (1, 2, 0) x+",
"(2, 0, 0) y+"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 4-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(2, 0, 0) y+ -- (2, 0, 0) x-",
"(2, 0, 0) y+",
"(1, 0, 0) x+ -- (1, 0, 0) y+ -- (2, 0, 0) x-",
"(1, 0, 0) x- -- (2, 1, 0) x- -- (1, 0, 0) y+"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 5-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 2, 0) x- -- (0, 2, 0) y- -- (0, 1, 0) x+",
"(1, 2, 0) y- -- (1, 1, 0) x-",
"(0, 2, 0) x+ -- (0, 1, 0) y+ -- (1, 1, 0) y+",
"(1, 1, 0) x- -- (1, 2, 0) y- -- (0, 0, 0) x+"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 6-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(0, 0, 0) y+ -- (0, 2, 0) x+",
"(0, 2, 0) y-",
"(2, 1, 0) x- -- (0, 2, 0) y- -- (0, 1, 0) y+",
"(0, 2, 0) y- -- (0, 0, 0) y+ -- (0, 0, 0) y+"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 7-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 1, 0) y- -- (1, 1, 0) x- -- (1, 0, 0) y+",
"(2, 1, 0) y- -- (1, 1, 0) y+",
"(1, 1, 0) x- -- (2, 1, 0) y-",
"(1, 0, 0) y+ -- (0, 2, 0) x+ -- (0, 0, 0) y+"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 8-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 2, 0) x- -- (1, 1, 0) y- -- (2, 1, 0) y-",
"(0, 2, 0) y-",
"(1, 2, 0) x- -- (0, 2, 0) x+",
"(1, 2, 0) x+ -- (2, 1, 0) y-"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 9-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(0, 0, 0) x+ -- (2, 1, 0) y- -- (0, 1, 0) y-",
"(0, 1, 0) y+ -- (2, 0, 0) y+ -- (0, 0, 0) y+",
"(1, 1, 0) x- -- (1, 1, 0) y- -- (2, 1, 0) x-",
"(1, 1, 0) y+ -- (1, 2, 0) y- -- (1, 1, 0) x+"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 10-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 1, 0) x- -- (2, 0, 0) y+",
"(1, 1, 0) x+ -- (1, 1, 0) y+ -- (2, 0, 0) y+",
"(1, 0, 0) x+ -- (2, 0, 0) x- -- (0, 0, 0) x+",
"(1, 0, 0) y+ -- (1, 0, 0) x- -- (1, 1, 0) x-"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 11-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 1, 0) x- -- (1, 1, 0) y+ -- (1, 1, 0) y-",
"(1, 2, 0) x+ -- (0, 0, 0) x+ -- (1, 0, 0) x+",
"(1, 1, 0) x- -- (2, 1, 0) x- -- (2, 1, 0) y+",
"(1, 1, 0) y+"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 12-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(0, 2, 0) x+ -- (0, 1, 0) x+ -- (0, 0, 0) y+",
"(0, 0, 0) x+ -- (2, 2, 0) x-",
"(0, 0, 0) y+ -- (2, 2, 0) x- -- (2, 2, 0) y-",
"(0, 2, 0) x+ -- (0, 1, 0) y- -- (0, 0, 0) y+"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 13-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(2, 1, 0) x- -- (2, 2, 0) x- -- (1, 2, 0) x+",
"(0, 0, 0) x+ -- (2, 2, 0) y-",
"(2, 2, 0) y-",
"(1, 2, 0) y- -- (1, 1, 0) x+"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 14-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 2, 0) x+ -- (0, 0, 0) y+ -- (0, 1, 0) y+",
"(1, 1, 0) y- -- (1, 2, 0) y-",
"(1, 1, 0) x+ -- (2, 2, 0) y-",
"(2, 2, 0) y- -- (1, 2, 0) x-"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 15-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 0, 0) y+ -- (1, 0, 0) x+ -- (1, 1, 0) y+",
"(1, 2, 0) x-",
"(0, 0, 0) x+",
"(0, 1, 0) y+"
]
| A | {'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 16-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(2, 0, 0) y+",
"(1, 0, 0) x- -- (1, 1, 0) x- -- (0, 1, 0) x+",
"(0, 1, 0) y- -- (0, 2, 0) y- -- (2, 0, 0) y+",
"(1, 1, 0) x+"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 17-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(1, 2, 0) y- -- (2, 1, 0) y+",
"(2, 1, 0) y+ -- (0, 2, 0) y-",
"(1, 2, 0) x- -- (2, 1, 0) y+",
"(1, 2, 0) x- -- (0, 2, 0) y- -- (0, 1, 0) y+"
]
| D | {'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 18-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(0, 1, 0) x+ -- (2, 2, 0) y-",
"(1, 1, 0) x- -- (1, 1, 0) x- -- (1, 0, 0) y+",
"(0, 2, 0) x+ -- (2, 2, 0) y-",
"(1, 1, 0) x- -- (1, 1, 0) y- -- (2, 2, 0) x-"
]
| B | {'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'} |
MentalAnimation | BlockMoving | Level0 | 19-3-3-1-2 | The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D. | [
"(2, 0, 0) x- -- (0, 1, 0) y+ -- (2, 0, 0) y+",
"(1, 0, 0) x- -- (2, 1, 0) y- -- (0, 1, 0) y+",
"(2, 1, 0) y- -- (1, 1, 0) x+ -- (1, 1, 0) y-",
"(2, 0, 0) y+ -- (0, 1, 0) x+ -- (1, 1, 0) x-"
]
| C | {'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'} |
Spatial Visualization Benchmark
This repository contains the Spatial Visualization Benchmark. The evaluation code is released on: wangst0181/Spatial-Visualization-Benchmark.
Dataset Description
The SpatialViz-Bench aims to evaluate the spatial visualization capabilities of multimodal large language models, which is a key component of spatial abilities. Targeting 4 sub-abilities of Spatial Visualization, including mental rotation, mental folding, visual penetration, and mental animation, we have designed 3 tasks for each, forming a comprehensive evaluation system comprising 12 tasks in total. Each task is divided into 2 or 3 levels, with each level containing 40 or 50 test cases, resulting in a total of 1180 question-answer pairs.
Spatial Visualization
- Mental Rotation
- 2D Rotation: Two difficulty levels, based on paper size and pattern complexity.
- 3D Rotation: Two difficulty levels, based on the size of the cube stack.
- Three-view Projection: Two categories, orthographic views of cube stacks and orthographic views of part models.
- Mental Folding
- Paper Folding: Three difficulty levels, based on paper size, number of operations, and number of holes.
- Cube Unfolding: Three difficulty levels, based on pattern complexity (whether the pattern is centrally symmetric).
- Cube Reconstruction: Three difficulty levels, based on pattern complexity.
- Visual Penetration
- Cross-Section: Three difficulty levels, based on the number of combined objects and cross-section direction.
- Cube Count Inference: Three difficulty levels, based on the number of reference views and the size of the cube stack.
- Sliding Blocks: Two difficulty levels, based on the size of the cube stack and the number of disassembled blocks.
- Mental Animation
- Arrow Movement: Two difficulty levels, based on the number of arrows and the number of operations.
- Block Movement: Two difficulty levels, based on the size of the cube stack and the number of movements.
- Mechanical System: Two difficulty levels, based on the complexity of the system structure.

Dataset Usage
Data Downloading
The test-00000-of-00001.parquet
file contains the complete dataset annotations, ready for processing with HF Datasets. It can be loaded using the following code:
from datasets import load_dataset
SpatialViz_bench = load_dataset("Anonymous285714/SpatialViz-Bench")
Additionally, we provide the images in *.zip
. The hierarchical structure of the folder is as follows:
./SpatialViz_Bench_images
βββ MentalAnimation
β βββ ArrowMoving
β β βββ Level0
β β βββ Level1
β βββ BlockMoving
β β βββ Level0
β β βββ Level1
β βββ MechanicalSystem
β βββ Level0
β βββ Level1
βββ MentalFolding
β βββ PaperFolding
β β βββ Level0
β β βββ Level1
β β βββ Level2
β βββ CubeReconstruction
β β βββ Level0
β β βββ Level1
β β βββ Level2
β βββ CubeUnfolding
β βββ Level0
β βββ Level1
β βββ Level2
βββ MentalRotation
β βββ 2DRotation
β β βββ Level0
β β βββ Level1
β βββ 3DRotation
β β βββ Level0
β β βββ Level1
β βββ 3ViewProjection
β βββ Level0-Cubes3View
β βββ Level1-CAD3View
βββ VisualPenetration
βββ CrossSection
β βββ Level0
β βββ Level1
β βββ Level2
βββ CubeCounting
β βββ Level0
β βββ Level1
β βββ Level2
βββ CubeAssembly
βββ Level0
βββ Level1
Data Format
The image_path
can be obtained as follows:
print(SpatialViz_bench["test"][0]) # Print the first piece of data
category = SpatialViz_bench["test"][0]['Category']
task = SpatialViz_bench["test"][0]['Task']
level = SpatialViz_bench["test"][0]['Level']
image_id = SpatialViz_bench["test"][0]['Image_id']
question = SpatialViz_bench["test"][0]['Question']
choices = SpatialViz_bench["test"][0]['Choices']
answer = SpatialViz_bench["test"][0]['Answer']
explanation = SpatialViz_bench["test"][0]['Explanation']
image_path = f"./images/{category}/{task}/{level}/{image_id}.png"
The dataset is provided in Parquet format and contains the following attributes:
{
"Category": "MentalAnimation",
"Task": "ArrowMoving",
"Level": "Level0",
"Image_id": "0-3-3-2",
"Question": "In the diagram, the red arrow is the initial arrow, and the green arrow is the final arrow. The arrow can move in four directions (forward, backward, left, right), where 'forward' always refers to the current direction the arrow is pointing. After each movement, the arrow's direction is updated to the direction of movement. Which of the following paths can make the arrow move from the starting position to the ending position? Please answer from options A, B, C, or D.",
"Choices": [
"(Left, 2 units)--(Left, 1 unit)",
"(Forward, 1 unit)--(Backward, 1 unit)",
"(Forward, 1 unit)--(Backward, 2 units)",
"(Forward, 1 unit)--(Left, 1 unit)"
],
"Answer": "D",
"Explanation": {
"D": "Option D is correct because the initial arrow can be transformed into the final arrow.",
"CAB": "Option CAB is incorrect because the initial arrow cannot be transformed into the final arrow."
}
}
Evaluation Metric
Since most question options are represented in reference images, all tasks are constructed as multiple-choice questions, with each question having exactly one correct answer. The model's performance is evaluated based on the accuracy of its responses.
Citation
If you use SpatialViz-Bench in your research, please cite our paper:
@misc{wang2025spatialvizbenchautomaticallygeneratedspatial,
title={SpatialViz-Bench: Automatically Generated Spatial Visualization Reasoning Tasks for MLLMs},
author={Siting Wang and Luoyang Sun and Cheng Deng and Kun Shao and Minnan Pei and Zheng Tian and Haifeng Zhang and Jun Wang},
year={2025},
eprint={2507.07610},
archivePrefix={arXiv},
primaryClass={cs.CV},
url={https://arxiv.org/abs/2507.07610},
}
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