<|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:  0 0 6 6 9 2 9 2 8 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 9 2 9 2 8 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
1 6 2 3 7 5 1 7 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 2 2 5
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