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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 5 0 0 8 9 4 6 5 5 1 2 9 7 8 6 9 2 3 7
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