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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 8 4 3 4 0 6 6 4 8 6 9 3 8 1 8 7 7 7 1 6 2 5 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