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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 8 5 7 0 1 3 6 0 0 0 0 0 3 0 0 0 9 0 0 0 0 7 0 9 0 7 1 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