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

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

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

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