<|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:  1 8 2 3 6 0 0 0 0 6 3 4 4 9 9 4 6 7 4 8 6 4 5 1 8
Output: 1 8 1 8 2 3 6 0 0 0 0 6 3 4 4 9 9 4 6 7 4 8 6 4 5

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

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

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