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An algorithm for the set of subsets with equal sums of a set of numbers (distinct partitions)

Given a set $T\subset\mathbb N^+$ called the set of terms and let $T_n=\{k\in T|k\leq n\}$. I want to design an efficient algorithm computing the set $\mathcal S_n$ of all subsets $S\subseteq T$ such ...
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