<|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:  9 8 7 1 0 9 7 8 3 6
Output: 8 3 6 9 8 7 1 0 9 7

Example 2:
Input:  9 3 7 3 2 7 3 6 2 8
Output: 6 2 8 9 3 7 3 2 7 3

Example 3:
Input:  1 8 4 9 2 9 2 8 4 1
Output: 8 4 1 1 8 4 9 2 9 2

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