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

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

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

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