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

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

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

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 0 3 4 9 7 8 8 2 8 8 3 1 8 7 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