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

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

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

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