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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
5 2 4 3 2 8 1 9 8 8 5 6 0 0 0 0 0 0 0 0 0 0 3
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