<|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:  8 8 3 4 7 6 2 9 2 5 0 0 0 0 0 5 1 3 6 4
Output: 8 3 4 7 6 2 9 2 5 0 0 0 0 0 5 1 3 6 4 8

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

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

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