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

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

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

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