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

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

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

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