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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 8 9 3 9 1 1 5 2 3 6 8 4 1 1 6 3 3 5 5 9 6 4 9 7 6
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