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

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

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

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