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:  1 3 5 2 1 5 3 5 1 7 4 5 3 0 0 0 5 3 4 3
Output: 3 1 3 5 2 1 5 3 5 1 7 4 5 3 0 0 0 5 3 4

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

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

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