Ranking Cartesian Sums and K -maximum subarray problem

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Publisher
University of Canterbury
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Language
English
Date
2006
Authors
Bae, Sung Eun
Takaoka, Tadao
Abstract

We design a simple algorithm that ranks K largest in Cartesian sums X + Y in O(m + K log K ) time. Based on this, K -maximum subarrays can be computed in O(n + K log K ) time (1D) and O(n3 + K log K ) time (2D) for input array of size n and n × n respectively.

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