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I'm trying to figure out how design it but i'm so confused.
No! What you are doing is trying to magically guess the design. Unfortunately, magic works only for Jedi knights.
The only way to go is with a sheet of paper , pencil and solve the problem by hand.
As you need to understand the maths, try to put the post office in every village and get the score for each.
Try again with different sets of villages, make a drawing of positions of villages, see if you find a method that is more efficient.
The 'try every villages' is 'brut force' method, sometimes, it is the best.
We do not do your HomeWork.
HomeWork is not set to test your skills at begging other people to do your work, it is set to make you think and to help your teacher to check your understanding of the courses you have taken and also the problems you have at applying them.
Any failure of you will help your teacher spot your weaknesses and set remedial actions.
Any failure of you will help you to learn what works and what don't, it is called 'trial and error' learning.
So, give it a try, reread your lessons and start working. If you are stuck on a specific problem, show your code and explain this exact problem, we might help.
As programmer,
your job is to create algorithms that solve specific problems and you can't rely on someone else to eternally do it for you, so there is a time where you will have to learn how to. And the sooner, the better.
When you just ask for the solution, it is like trying to learn to drive a car by having someone else training.
Creating an algorithm is basically finding the maths and make necessary adaptation to fit your actual problem.
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