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

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

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

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 0 0 3 6 5 8 9 7 9 4 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