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

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

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