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

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

Example 3:
Input:  6 8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 7
Output: 7 6 8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6

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