Encoding nearest larger values

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Encoding nearest larger values

In nearest larger value (NLV) problems, we are given an array A[1..n] of numbers, and need to preprocess A to answer queries of the following form: given any index i ∈ [1, n], return a “nearest” index j such that A[j] > A[i]. We consider the variant where the values in A are distinct, and we wish to return an index j such that A[j] > A[i] and |j − i| is minimized, the nondirectional NLV (NNLV) ...

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Optimal Encodings and Indexes for Nearest Larger Value Problems

Given a d-dimensional array, for any integer d > 0, the nearest larger value (NLV) query returns the position of the element which is closest, in L1 distance, to the query position, and is larger than the element at the query position. We consider the problem of preprocessing a given array, to construct a data structure that can answer NLV queries efficiently. In the 2-D case, given an n × n ar...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2018

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2017.02.017