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

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

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