<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Find the common rule that maps an input grid to an output grid, given the examples below.

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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 3 5 0 0 0 9 7 3 8 4 8 1 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>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user