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

Example 2:
Input:  0 0 0 0 0 0 0 0 0 0 9 7 7 1 7 9 2 0 0 0 0 0 0 0 0
Output: 0 0 0 0 0 0 0 0 9 7 7 1 7 9 2 0 0 0 0 0 0 0 0 0 0

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

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