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

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

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

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