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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
5 3 5 9 0 7 5 2 9 7 3 8 5 4 9 2 9 3 6 8 1 2 9 7
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