Category
stringclasses 4
values | Task
stringclasses 12
values | Level
stringclasses 5
values | Image_id
stringlengths 1
51
| Question
stringclasses 197
values | Choices
listlengths 4
4
| Answer
stringclasses 4
values | Explanation
stringlengths 52
839
|
|---|---|---|---|---|---|---|---|
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.'}
|
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