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December 5th, 2015, 01:56 PM   #1
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Unique Sums

(I've studied maths in French so forgive me if my language is off sometimes)

I'm trying to find a formula that gives all unique numbers you can get out of imputed numbers. For example if I imput 6,7 and 8
I will get:

6 - 7 - 8 - 6+7 - 6+8 - 7+8 - 6+7+8 - 6+7k - 7+6k - 8+6k - 6+8k - 7+8k - 8+7k - 6+7+8k - 6+8+7k - 7+8+6k

Basically I'm trying to solve this kind of problem, let's suppose I go to a shop with x amount of money and I want to go from x amount to 0 using all unique combinations of item prices (knowing the item prices of course), there is still a possibility you can't get to 0 but I need to try every unique combination to know.

(if anyone can help/guide me in any way would be greatly appreciated)
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December 5th, 2015, 04:54 PM   #2
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Its basically a Diophantine equation. You could read about those.
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