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

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

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

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