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

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

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

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