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Solving the Zebra Puzzle with Boolean Algebra
Solving the Zebra Puzzle with Boolean Algebra - Added December 23, 2017 at 11:19PM
computer-science  interview  puzzle  read2of 
5 days ago by xenocid
[1801.10139] Analysis of the Continued Logarithm Algorithm
The Continued Logarithm Algorithm - CL for short- introduced by Gosper in 1978 computes the gcd of two integers; it seems very efficient, as it only performs shifts and subtractions. Shallit has studied its worst-case complexity in 2016 and showed it to be linear. We here perform the average-case analysis of the algorithm: we study its main parameters (number of iterations, total number of shifts) and obtain precise asymptotics for their mean values. Our 'dynamical' analysis involves the dynamical system underlying the algorithm, that produces continued fraction expansions whose quotients are powers of 2. Even though this CL system has already been studied by Chan (around 2005), the presence of powers of 2 in the quotients ingrains into the central parameters a dyadic flavour that cannot be grasped solely by studying the CL system. We thus introduce a dyadic component and deal with a two-component system. With this new mixed system at hand, we then provide a complete average-case analysis of the CL algorithm, with explicit constants.
number-theory  numerical-methods  representation  computer-science  computational-complexity  rather-interesting  algorithms  continued-fractions  to-write-about 
14 days ago by Vaguery
GitHub - trekhleb/javascript-algorithms: Algorithms and data structures implemented in JavaScript with explanations and links to further readings
Algorithms and data structures implemented in JavaScript with explanations and links to further readings.

This repository contains JavaScript based examples of many popular algorithms and data structures.

Each algorithm and data structure has its own separate README with related explanations and links for further reading (including ones to YouTube videos).
algorithms  computer-science  compsci  data-structures  javascript 
15 days ago by apiontek
Algorithm Archive
The Arcane Algorithm Archive is a collaborative effort to create a guide for all important algorithms in all languages
computer-science  algorithm 
18 days ago by lenciel

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