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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
8 3 5 0 0 0 0 0 2 6 5 1 3 6 8 7 2 6 5
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