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

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

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

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