3SUM
Problem in computational complexity theory
Problem in computational complexity theory
In computational complexity theory, the 3SUM problem asks if a given set of n {\displaystyle n} real numbers contains three elements that sum to zero. A generalized version, k {\displaystyle k} -SUM, asks the same question on k {\displaystyle k} elements, rather than simply 3. 3SUM can be easily solved in O ( n 2 ) {\displaystyle O(n^{2})} time, and matching Ω ( n ⌈ k / 2 ⌉ ) {\displaystyle \Omega (n^{\lceil k/2\rceil })} lower bounds are known in some specialized models of computation (Erickson 1999). It was conjectured that any deterministic...
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