[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are integer multiples of 90° between 0° and 360° (inclusive). The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (z-axis): It's essential to evaluate the full set of potential rotation angles: [90, 180, 270].
   - For every angle listed: Imagine rotating the object around the z-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([90, 180, 270]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 90 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 180


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.

For rotations, the perspective is looking down the positive axis towards the origin.For rotations, adopt the perspective of sighting along the positive direction of that axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 270 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL z-Axis Options: You must consider every angle in this list: [90, 180, 270].
   - Visualize Rotation: For each angle, mentally rotate the object around the z-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [90, 180, 270] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

The angle of rotation must be a multiple of 90 degrees, within the range [0, 360] inclusive. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 270


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.

Your task is to determine the angle of rotation around the z-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Rotation is constrained to angles divisible by 90 degrees, spanning 0 to 360 degrees inclusive. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLE OF ROTATION ###

Example: Image 1 shows the initial view and Image 2 shows the object after a 180 degree rotation around the z-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the z-axis from Image 3 to Image 4.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive z-Axis Evaluation: You are required to assess each of these candidate rotation angles: [90, 180, 270].
   - Test Each Angle: Mentally simulate rotating the object around the z-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [90, 180, 270] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [90, 180, 270]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 90