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

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

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

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