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

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

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

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