<|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:  9 2 7 6 4 3 7 7 5 9 6 6 0 0 0 0 1 6 5 9 3 5 3 3 6 4 8 7 8 3
Output: 2 7 6 4 3 7 7 5 9 6 6 0 0 0 0 1 6 5 9 3 5 3 3 6 4 8 7 8 3 9

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 6 8 2 7 5 7 6 6 4 3 6 4 7 8 6 6 8 5 4 4 4 3 5 0 0 7 4 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