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

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

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

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 3 2 3 7 8 1 9 7 0 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