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

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

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

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