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

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

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

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