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K-way Merge Algorithm
In computer science, ''k''-way merge algorithms or multiway merges are a specific type of sequence merge algorithms that specialize in taking in k sorted lists and merging them into a single sorted list. These merge algorithms generally refer to merge algorithms that take in a number of sorted lists greater than two. Two-way merges are also referred to as binary merges. Two-way merge A 2-way merge, or a binary merge, has been studied extensively due to its key role in merge sort In computer science, merge sort (also commonly spelled as mergesort) is an efficient, general-purpose, and comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the order of equal elements is the same .... An example of such is the classic merge that appears frequently in merge sort examples. The classic merge outputs the data item with the lowest key at each step; given some sorted lists, it produces a sorted list containing all the elements in any of the ...
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Computer Science
Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical disciplines (including the design and implementation of Computer architecture, hardware and Computer programming, software). Computer science is generally considered an area of research, academic research and distinct from computer programming. Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of computational problem, problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and for preventing Vulnerability (computing), security vulnerabilities. Computer graphics (computer science), Computer graphics and computational geometry address the generation of images. Progr ...
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Merge Algorithm
Merge algorithms are a family of algorithms that take multiple sorted lists as input and produce a single list as output, containing all the elements of the inputs lists in sorted order. These algorithms are used as subroutines in various sorting algorithms, most famously merge sort. Application The merge algorithm plays a critical role in the merge sort algorithm, a comparison-based sorting algorithm. Conceptually, the merge sort algorithm consists of two steps: # Recursively divide the list into sublists of (roughly) equal length, until each sublist contains only one element, or in the case of iterative (bottom up) merge sort, consider a list of ''n'' elements as ''n'' sub-lists of size 1. A list containing a single element is, by definition, sorted. # Repeatedly merge sublists to create a new sorted sublist until the single list contains all elements. The single list is the sorted list. The merge algorithm is used repeatedly in the merge sort algorithm. An example merge s ...
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Merge Sort
In computer science, merge sort (also commonly spelled as mergesort) is an efficient, general-purpose, and comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the order of equal elements is the same in the input and output. Merge sort is a divide-and-conquer algorithm that was invented by John von Neumann in 1945. A detailed description and analysis of bottom-up merge sort appeared in a report by Goldstine and von Neumann as early as 1948. Algorithm Conceptually, a merge sort works as follows: #Divide the unsorted list into ''n'' sublists, each containing one element (a list of one element is considered sorted). #Repeatedly merge sublists to produce new sorted sublists until there is only one sublist remaining. This will be the sorted list. Top-down implementation Example C-like code using indices for top-down merge sort algorithm that recursively splits the list (called ''runs'' in this example) into sublists until sublist size i ...
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Heap (data Structure)
In computer science, a heap is a specialized tree-based data structure which is essentially an almost complete tree that satisfies the heap property: in a ''max heap'', for any given node C, if P is a parent node of C, then the ''key'' (the ''value'') of P is greater than or equal to the key of C. In a ''min heap'', the key of P is less than or equal to the key of C. The node at the "top" of the heap (with no parents) is called the ''root'' node. The heap is one maximally efficient implementation of an abstract data type called a priority queue, and in fact, priority queues are often referred to as "heaps", regardless of how they may be implemented. In a heap, the highest (or lowest) priority element is always stored at the root. However, a heap is not a sorted structure; it can be regarded as being partially ordered. A heap is a useful data structure when it is necessary to repeatedly remove the object with the highest (or lowest) priority, or when insertions need to be inters ...
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Tournament Tree
A tournament is a competition involving at least three competitors, all participating in a sport or game. More specifically, the term may be used in either of two overlapping senses: # One or more competitions held at a single venue and concentrated into a relatively short time interval. # A competition involving a number of matches, each involving a subset of the competitors, with the overall tournament winner determined based on the combined results of these individual matches. These are common in those sports and games where each match must involve a small number of competitors: often precisely two, as in most team sports, racket sports and combat sports, many card games and board games, and many forms of competitive debating. Such tournaments allow large numbers to compete against each other in spite of the restriction on numbers in a single match. These two senses are distinct. All golf tournaments meet the first definition, but while match play tournaments meet the second, ...
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The Art Of Computer Programming
''The Art of Computer Programming'' (''TAOCP'') is a comprehensive monograph written by the computer scientist Donald Knuth presenting programming algorithms and their analysis. Volumes 1–5 are intended to represent the central core of computer programming for sequential machines. When Knuth began the project in 1962, he originally conceived of it as a single book with twelve chapters. The first three volumes of what was then expected to be a seven-volume set were published in 1968, 1969, and 1973. Work began in earnest on Volume 4 in 1973, but was suspended in 1977 for work on typesetting prompted by the second edition of Volume 2. Writing of the final copy of Volume 4A began in longhand in 2001, and the first online pre-fascicle, 2A, appeared later in 2001. The first published installment of Volume 4 appeared in paperback as Fascicle 2 in 2005. The hardback Volume 4A, combining Volume 4, Fascicles 0–4, was published in 2011. Volume 4, Fascicle 6 ("Satisfiability") was rel ...
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Binary Tree
In computer science, a binary tree is a k-ary k = 2 tree data structure in which each node has at most two children, which are referred to as the ' and the '. A recursive definition using just set theory notions is that a (non-empty) binary tree is a tuple (''L'', ''S'', ''R''), where ''L'' and ''R'' are binary trees or the empty set and ''S'' is a singleton set containing the root. Some authors allow the binary tree to be the empty set as well. From a graph theory perspective, binary (and K-ary) trees as defined here are arborescences. A binary tree may thus be also called a bifurcating arborescence—a term which appears in some very old programming books, before the modern computer science terminology prevailed. It is also possible to interpret a binary tree as an undirected, rather than a directed graph, in which case a binary tree is an ordered, rooted tree. Some authors use rooted binary tree instead of ''binary tree'' to emphasize the fact that the tree is rooted, bu ...
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Loser Tree
Loser or Losers may refer to: *A person who experiences failure *The unsuccessful social class in winner and loser culture Film and television * ''Loser'', a 1996 film directed by Kirk Harris * ''Loser'' (film), a 2000 movie starring Jason Biggs and Mena Suvari * ''The Losers'' (2010 film), the film adaptation of the Vertigo comic * "Loser" (''Grounded for Life''), a 2001 episode of ''Grounded for Life'' * ''Losers'' (2015 film), a 2015 Bulgarian film * L.O.S.E.R.S., fictional characters featured in ''The Fairly OddParents'' * ''Losers'' (TV series), a Netflix television series Literature and publications * ''Loser'' (novel), a 2002 novel by Jerry Spinelli * ''Losers'' (comics), two comic book teams published by DC Comics ** ''The Losers'' (Vertigo), the Vertigo "modernization" of the classic comic * ''The Loser'', a 1983 novel by Thomas Bernhard Music * Losers (band), a British rock band * Loser (band), an American rock band * "Loser" (Big Bang song), a 2015 song by ...
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Pseudocode
In computer science, pseudocode is a plain language description of the steps in an algorithm or another system. Pseudocode often uses structural conventions of a normal programming language, but is intended for human reading rather than machine reading. It typically omits details that are essential for machine understanding of the algorithm, such as variable declarations and language-specific code. The programming language is augmented with natural language description details, where convenient, or with compact mathematical notation. The purpose of using pseudocode is that it is easier for people to understand than conventional programming language code, and that it is an efficient and environment-independent description of the key principles of an algorithm. It is commonly used in textbooks and scientific publications to document algorithms and in planning of software and other algorithms. No broad standard for pseudocode syntax exists, as a program in pseudocode is not an executa ...
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Loser Tree Replacement Selection
Loser or Losers may refer to: *A person who experiences failure *The unsuccessful social class in winner and loser culture Film and television * ''Loser'', a 1996 film directed by Kirk Harris * ''Loser'' (film), a 2000 movie starring Jason Biggs and Mena Suvari * ''The Losers'' (2010 film), the film adaptation of the Vertigo comic * "Loser" (''Grounded for Life''), a 2001 episode of ''Grounded for Life'' * ''Losers'' (2015 film), a 2015 Bulgarian film * L.O.S.E.R.S., fictional characters featured in ''The Fairly OddParents'' * ''Losers'' (TV series), a Netflix television series Literature and publications * ''Loser'' (novel), a 2002 novel by Jerry Spinelli * ''Losers'' (comics), two comic book teams published by DC Comics ** ''The Losers'' (Vertigo), the Vertigo "modernization" of the classic comic * ''The Loser'', a 1983 novel by Thomas Bernhard Music * Losers (band), a British rock band * Loser (band), an American rock band * "Loser" (Big Bang song), a 2015 song by ...
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Loser Tree Merge
Loser or Losers may refer to: *A person who experiences failure *The unsuccessful social class in winner and loser culture Film and television * ''Loser'', a 1996 film directed by Kirk Harris * ''Loser'' (film), a 2000 movie starring Jason Biggs and Mena Suvari * ''The Losers'' (2010 film), the film adaptation of the Vertigo comic * "Loser" (''Grounded for Life''), a 2001 episode of ''Grounded for Life'' * ''Losers'' (2015 film), a 2015 Bulgarian film * L.O.S.E.R.S., fictional characters featured in ''The Fairly OddParents'' * ''Losers'' (TV series), a Netflix television series Literature and publications * ''Loser'' (novel), a 2002 novel by Jerry Spinelli * ''Losers'' (comics), two comic book teams published by DC Comics ** ''The Losers'' (Vertigo), the Vertigo "modernization" of the classic comic * ''The Loser'', a 1983 novel by Thomas Bernhard Music * Losers (band), a British rock band * Loser (band), an American rock band * "Loser" (Big Bang song), a 2015 song by ...
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