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

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

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

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