<|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:  3 9 7 3 9 2 7 5 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 7 3 9 2 7 5 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 5 8 4 1 3 8 7 4 6 6 3 6 3 5 1 4 0 0 0 0 0 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