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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 0 0 7 3 6 3 2 3 9 1 3 1 0 0 0 0 0 0 0 0 0 0 0 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