<|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:  3 3 4 3 3 4 6 1 2 7 4 3 6 3 8 0 0 0 0 6
Output: 3 3 4 6 1 2 7 4 3 6 3 8 0 0 0 0 6 3 3 4

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

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

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