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

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

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