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 8 8 5 5 5 6 6 6 5 4 3 2 8 0 0 9 2 7 8 5 9 4 2
Output: 2 8 8 5 5 5 6 6 6 5 4 3 2 8 0 0 9 2 7 8 5 9 4 2 8

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

Example 3:
Input:  7 4 1 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 4 1 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7

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