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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 0 0 6 4 7 2 5 5 2 9 7 8 8 3 5 5 1 3 5 8 9 6 1 8
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