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

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

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

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 5 6 8 4 3 9 8 3 6 7 3 0 0 0 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