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

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

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

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