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

Example 2:
Input:  3 4 3 0 0 0 2 5 6 0 6 0 0 3 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 2 5 6 6 3 5

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

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