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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 1 6 0 8 6 0 3 0 6 0 0 0 7 0 0 4 0 5 8 2 9 0 0 6 9 5 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