Turnpike problem

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Problem Description

The turnpike problem, also known as the partial digest problem, is: Given a multiset of (:) positive numbers AX, does there exist a set X such that AX is exactiy the multiset of al1 positive pairwise difierences of the elements of X. The complexity of the problem is aot known.

Bounds Chart

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Step Chart

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Improvement Table

Complexity Classes Algorithm Paper Links Lower Bounds Paper Links
Exp/Factorial [Outside-In algorithm (1991)]
Polynomial > 3
Cubic
Quadratic
nlogn
Linear
logn