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

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

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

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