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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 6 5 4 4 5 8 2 9 1 9 5 3 5 4 9 4 4 8 9 1
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