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:  4 5 2 7 4 5 7 5 6 1 9 6 8 6 4 1 2 7 1 8 3 8
Output: 8 4 5 2 7 4 5 7 5 6 1 9 6 8 6 4 1 2 7 1 8 3

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

Example 3:
Input:  7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 8 3 6
Output: 6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 8 3

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