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

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

Example 3:
Input:  1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 8 9
Output: 9 8 9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 5 1 7 2 1 4 0 0 0 0 0 0 0 0 0 0 0 0 2 1 5 3 2 7 5 8
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