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 6 9 2 8 7 9 7 9 9 2 6 5 0 0 0 0 0 0 0 0 0 0 0 9 2 7 8 7
Output: 2 7 8 7 7 6 9 2 8 7 9 7 9 9 2 6 5 0 0 0 0 0 0 0 0 0 0 0 9

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

Example 3:
Input:  4 3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 3 2 9 8
Output: 3 2 9 8 4 3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9

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