We revisit the classical algorithms for searching over sorted sets to introduce an algorithm refinement, called Adaptive Search, that combines the good features of Interpolation search and those of Binary search. W.r.t. Interpolation search, only a constant number of extra comparisons is introduced. Yet, under diverse input data distributions our algorithm shows costs comparable to that of Inte...

We present a novel connection between binary search trees (BSTs) and points in the plane satisfying a simple property. Using this correspondence, we achieve the following results: 1. A surprisingly clean restatement in geometric terms of many results and conjectures relating to BSTs and dynamic optimality. 2. A new lower bound for searching in the BST model, which subsumes the previous two know...

Formal software verification techniques are widely used to specify and prove the functional correctness of programs. However, nonfunctional properties such as time complexity usually carried out with pen paper. Inefficient code in terms may cause massive performance problems large-scale complex systems. We present a proof concept for using Dafny tool verify worst-case binary search. This approa...

In this paper we discuss Grover Adaptive Search (GAS) for Constrained Polynomial Binary Optimization (CPBO) problems, and in particular, Quadratic Unconstrained (QUBO) as a special case. GAS can provide quadratic speed-up combinatorial optimization problems compared to brute force search. However, requires the development of efficient oracles represent flag states that satisfy certain search cr...

Algoritma binary search ini sering digunakan dalam pencarian data karena kompleksitas dari algoritma adalah Ο(log n). Huria Kristen Batak Protestan (HKBP) yaitu gereja protestan terbe
 terbesar di kalangan masyarakat Batak, bahkan juga antara Gereja-gereja yang ada Indonesia. Dari Sabang sampai Merauke, HKBP tersebar hampir seluruh daerah kota maupun desa. Salah satu berdiri Sulawesi Utara...