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

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

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

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