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

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

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

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