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

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

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

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