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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 4 9 8 3 0 0 6 3 0 2 6 7 4 0 0 0 0 8 0 4 0 0 0 5 7 5
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