Number Subsets Calculator in Java (Applet using AWT)

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Guys, here is a problem given to us by our professor during our class in Object-Oriented Programming. Here, I used the AWT library of Java to design the interface. Problem: Given an array containing some integers (there may be duplicates), write a routine or method that returns all the possible sums that can be formed by using numbers in the array. For instance, if the array contains 4 and 6, the possible sums are n0, 4, 6, and 10. If the array contains 1, 3, 5, and 7, the possible sums are 0, 1, 3, 5, 7, 4, 6, 8, 8, 10, 12, 9, 11, 13, 15, and 16. Notice that 8 appears twice in the answer (1+7 and 3+5). You can read more details of this tutorial in this link: http://www.eturo.co.cc/2012/01/tutorial-sum-of-all-possible-subsets-of.html

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