<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Find the common rule that maps an input grid to an output grid, given the examples below.

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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 6 7 3 8 4 6 4 6 0 0 0 0 0 0 0 2 7 5 7 5 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>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user