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:  8 2 6 5 9 1 4 5 3 5 2 0 1 9 8 6 4 5 6 8 8 8 8 3
Output: 3 8 2 6 5 9 1 4 5 3 5 2 0 1 9 8 6 4 5 6 8 8 8 8

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 8 8 1 3 9 1 9 1 3 3 8 5 8 0 0 0 0 0 0 0 5 3 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>.
Assistant: Let me solve this step by step.
<think>
user