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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 0 0 0 2 5 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0
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