<|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:  7 1 7 0 0 0 0 3 4 1 1 8 2 7 6 5 7 7 4 8 5 8 3
Output: 3 7 1 7 0 0 0 0 3 4 1 1 8 2 7 6 5 7 7 4 8 5 8

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

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

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