[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.
- The coordinate system's origin (0,0,0) coincides with the geometric center of the 3D object.

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

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

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

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

Follow this methodical process to identify the correct rotation:

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

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

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

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

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

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
I'm showing you 4 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 315 degree rotation around the y-axis.

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

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

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

Follow this methodical process to identify the correct rotation:

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

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

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

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

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

[Assistant] 45