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

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

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

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 0 0 0 0 0 7 4 5 5 5 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