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

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

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

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