<|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:  1 9 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 7 8 3 8
Output: 8 3 8 1 9 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 7

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 2 5 1 1 9 3 7 7 5 0 0 0 0 0 8 9 8 3 2 9 2 2 9 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