<|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 7 4 7 9 1 2 5 8 7 5 7 4 0 0 0 0 0 0 0 3 4
Output: 9 1 2 5 8 7 5 7 4 0 0 0 0 0 0 0 3 4 7 7 4 7

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

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

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