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

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

Example 3:
Input:  2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 2
Output: 6 2 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3

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