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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 2 7 8 4 5 4 9 8 1 6 6 8 8 9 0 0 0 0 0 0 0 0 9 5 2 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