I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>270</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_018_z_-90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_019_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_020_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_021_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>270</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_022_z_-90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_023_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_024_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_025_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_026_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_027_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_028_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0397_029_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_000_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_001_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_002_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>270</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_003_z_-90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_004_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_005_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_006_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_007_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_008_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>270</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_009_z_-90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_010_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_011_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_012_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_013_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_014_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>270</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_015_z_-90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_016_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_017_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_018_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_019_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_020_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_021_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>270</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_022_z_-90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_023_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_024_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>270</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_025_z_-90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_026_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>90</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_027_z_90</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_028_z_180</image_path>


I'm showing you TWO images of the same 3D object. The FIRST image shows the object in its initial orientation. The SECOND image shows the object after being rotated.

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

The 3D Cartesian coordinate system is defined as follows:
- x-axis: points horizontally from left to right (positive direction is right)
- y-axis: points vertically from bottom to top (positive direction is up)
- z-axis: points from inside the image toward the viewer (positive direction is out of the screen)

When discussing rotations around an axis, imagine looking along the positive direction of that axis (as if looking from the origin toward the positive end).

The rotation angle is always a multiple of 90 degrees between 0 and 360 degrees inclusive. A positive angle means rotation in the CLOCKWISE direction when looking along the positive direction of the axis.

IMPORTANT: Please follow this systematic approach to determine the rotation angle:

1. First, analyze the object's features in both views to understand its structure.

2. For the z-axis rotation, you must evaluate ALL of these possible rotation angles: [90, 180, 270]
   - For each angle in the list, mentally visualize what the object would look like after rotating around the z-axis by that amount
   - Compare these visualizations with the actual second view
   - DO NOT make a decision until you have evaluated all possible angles in the list

3. After evaluating all angles, choose the one that best matches the observed changes

4. Verify your answer by mentally applying the rotation to confirm it 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 inside <rotation_angle></rotation_angle> tags. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: <rotation_angle>30</rotation_angle>

Incorrect output formats:
- <rotation_angle>I think it's 30 degrees</rotation_angle>
- <thinking>Any reasoning</thinking><rotation_angle>30</rotation_angle>
- The rotation angle is <rotation_angle>30</rotation_angle>

Answer: <angle>180</angle><image_path>/lustre/fsw/portfolios/av/users/shiyil/yunfei/MM-EUREKA/data/hunyuan_90_z_sp_12k_360_path/fig0398_029_z_180</image_path>