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

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

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

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