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Preprint in the OpenAI Math release

Subset Sum in Time

OpenAI

Abstract

We give a uniform randomized classical algorithm for Subset Sum with bounded error and worst-case running time on polynomial-bit inputs in a word-RAM model, where n is the number of input integers. The time bound holds on every random execution.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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