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 8 1 2 6 2 0 0 8 6 1 3 3 4 9 3 4 7 7 3
Output: 4 7 7 3 7 8 1 2 6 2 0 0 8 6 1 3 3 4 9 3

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

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

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 7 2 3 8 4 2 4 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