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

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

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

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