<|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 1 8 3 3 8 0 0 0 0 0 0 0 0 0 0 9 5 6 6 7 5 1 6 4
Output: 1 6 4 5 1 8 3 3 8 0 0 0 0 0 0 0 0 0 0 9 5 6 6 7 5

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

Example 3:
Input:  4 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 8 5
Output: 8 8 5 4 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2

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