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

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

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

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