All-Integers 3SUM (3SUM)

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Description

Given three lists $A, B, C$ of $n$ integers each, output the list of all integers $a \in A$ such that there exist $b \in B,c \in C$ with $a + b + c = 0$.

Related Problems

Generalizations: 3SUM

Related: Real 3SUM, 3SUM'

Parameters

$n$: number of integers in each set

Table of Algorithms

Currently no algorithms in our database for the given problem.

Reductions TO Problem

Problem Implication Year Citation Reduction
3SUM if: to-time: $O(n^{2-\epsilon})$ for some $\epsilon > {0}$
then: from-time: $O(n^{1.5} + n^{2-\epsilon / 2})$
2018 https://dl.acm.org/doi/pdf/10.1145/3186893, Theorem 8.1 link

Reductions FROM Problem

Problem Implication Year Citation Reduction
3SUM if: to-time: $T(n)$
then: from-time: $O(T(n))$
link