<|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 8 5 5 2 3 5 3 5 6 2 6 3 3 5 5 3 8 8 2 4 8 2
Output: 2 6 8 5 5 2 3 5 3 5 6 2 6 3 3 5 5 3 8 8 2 4 8

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

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

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