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

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

Example 3:
Input:  3 0 2 3 3 2 2 1 9 2 2 7 1 4
Output: 3 3 2 2 1 9 2 2 7 1 4 3 0 2

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 3 7 5 9 5 6 0 4 3 9 2 8 5
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