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

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

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

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 1 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