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

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

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

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