A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: Find the common rule that maps an input grid to an output grid, given the examples below.

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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 0 0 1 8 3 8 2 9 6 3 9 0 0 0 0 0 0 0 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>.
Assistant: Let me solve this step by step.
<think>
user