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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 4 5 7 3 2 9 1 5 3 4 8 7 6 7 7 5 3 2 9 3 7 7 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