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

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

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

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