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- W1607456165 abstract "We obtain subquadratic algorithms for 3SUM on integers and rationals in several models. On a standard word RAM with w-bit words, we obtain a running time of O(n 2 / max{ $frac{w}{lg^2 w}, frac{lg^2 n}{(lg lg n)^2}$ }). In the circuit RAM with one nonstandard AC 0 operation, we obtain O(n 2 / $frac{w}{lg^2 w}$ ). In external memory, we achieve O(n 2 / (MB)), even under the standard assumption of data indivisibility. Cache-obliviously, we obtain a running time of O(n 2 / $frac{MB}{lg^2 M}$ ). In all cases, our speedup is almost quadratic in the parallelism the model can afford, which may be the best possible. Our algorithms are Las Vegas randomized; time bounds hold in expectation, and in most cases, with high probability." @default.
- W1607456165 created "2016-06-24" @default.
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- W1607456165 date "2005-01-01" @default.
- W1607456165 modified "2023-10-18" @default.
- W1607456165 title "Subquadratic Algorithms for 3SUM" @default.
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- W1607456165 doi "https://doi.org/10.1007/11534273_36" @default.
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