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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 5 6 4 8 7 2 5 1 1 2 3 8 3 1 9 5 2
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