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* * * 7 . Given a sequence x of n integers x 1 , x 2 , cdots, x n , and an integer

***7. Given a sequence x of n integers x1,x2,cdots,xn, and an integer S. Design an algorithm to determine if there is a subsequence of x whose sum is equal to S. The time complexity of your algorithm must be O(nS) and only use S+1 bits of memory.
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