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

Example 2:
Input:  5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3
Output: 1 3 3 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

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