<|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 4 4 0 3 0 0 0 0 6 3 0 4 0 0 0 7 0 0 6 7 1 1 0 6 1 2 0 0
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 3 6 3 4 7 6 7 1 1 6 1 2

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
5 8 9 8 1 2 5 9 7 7 0 0 0 9 0 7 5 0 0 0 0 1 0 8 0 2 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