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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 6 2 9 1 8 5 9 9 1 2 3 4 2 7 5 3 0 0 0 5 6 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