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

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

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

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