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

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

Example 3:
Input:  1 8 6 3 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 1 6 9
Output: 6 1 6 9 1 8 6 3 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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