Bruteforce

[ErGingerbreadMandude]

In any coder forum that I use, people usually frown upon giving others the sollution for the homework given to a student, but I will give a clue: It can be done iteratively or recursively. Here is the code:

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// insert your work here, do you expect to have everything done for you?
// if that is true, when you get a girlfriend, tell her to come to me so I can fuck her for you

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I hate lazy people

Hahahaha nice one.
You have no idea how much time i've had spend on this problem,i had to give in to my temptation.Sawry 

Edit: I love how you used "//"