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:  9 5 6 5 0 0 0 0 0 0 0 3 5 2 2 8 3 9 6 6 5
Output: 0 0 0 0 0 0 0 3 5 2 2 8 3 9 6 6 5 9 5 6 5

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
6 5 1 1 7 3 4 5 6 2 5 9 5 6 2 6 4 1 4 2 6
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