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

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

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

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