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:  4 6 8 1 6 5 4 1 5 8 8 6 2 7 1 4 6 0 0 0 0 0 7 7 5
Output: 1 6 5 4 1 5 8 8 6 2 7 1 4 6 0 0 0 0 0 7 7 5 4 6 8

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

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

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