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

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

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

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