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

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

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

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 9 8 6 7 6 3 8 9 3 8 9 3 7 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