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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 5 5 8 6 0 0 0 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