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

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

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

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