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:  2 8 2 6 2 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
Output: 6 2 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 2

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

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

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