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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 5 9 9 8 6 0 0 0 0 0 2 5 3 4 3 5 4 6 6 5 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