<|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:  2 5 6 7 5 9 2 1 7 3 6 6 1 6 3 6 1 1 2 5 5 4 0 0 2 1 5 3 3
Output: 6 7 5 9 2 1 7 3 6 6 1 6 3 6 1 1 2 5 5 4 0 0 2 1 5 3 3 2 5

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 8 2 7 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