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

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

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

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