3SUM Hypothesis (3-SUM Hypothesis)

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Target Problem

3-SUM

Description

3-SUM on $n$ integers in $\{-n^4,\ldots,n^4\}$ cannot be solved in $O(n^{2-\epsilon})$ time for any $\epsilon > 0$ by a randomized algorithm.

Implies the following Hypothesis

Implied by the following Hypothesis

Computation Model

Word-RAM on $\log(n)$ bit words

Proven?

No

Year

References/Citation

http://people.csail.mit.edu.ezproxy.canberra.edu.au/virgi/eccentri.pdf Hypothesis 2