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

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

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

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