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

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

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

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