A tight lower bound for searching a sorted array

Arne Andersson, Johan Håstad, Ola Petersson · 1995

We show that given a k-character query string and an ai-ray of n strings arranged in alphabetical order, finding a matching string or report that no such string exists requires a ( k log log n +k+logn log log (4+ k 1;:;; n ) )character comparisons in the worst case, which is tight.

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