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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 2 0 0 0 0 0 0 0 0 0 0 0 4 3 5 8 2 8 6 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