A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: Find the common rule that maps an input grid to an output grid, given the examples below.

Example 1:
Input:  8 1 6 6 2 6 4 6 7 9 6 1 8 2 0 0 0 0 0 0 0 0 0 0 0
Output: 6 2 6 4 6 7 9 6 1 8 2 0 0 0 0 0 0 0 0 0 0 0 8 1 6

Example 2:
Input:  1 5 7 8 7 1 6 5 3 0 0 0 0 2 9 5 2 1 8 5 4 3 6 9 8
Output: 8 7 1 6 5 3 0 0 0 0 2 9 5 2 1 8 5 4 3 6 9 8 1 5 7

Example 3:
Input:  2 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 7 5 2 9 5
Output: 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 7 5 2 9 5 2 1 3

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 3 5 7 5 6 9 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
Show your work in <think> </think> tags, and return the answer in <answer> </answer> tags with space between each number. For example <answer> 1 3 5 7 </answer>.
Assistant: Let me solve this step by step.
<think>
user