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

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

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

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