Stooge Sort
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Stooge Sort
Stooge sort is a recursive sorting algorithm. It is notable for its exceptionally poor time complexity of O(n^) = O(n^) The algorithm's running time is thus slower compared to reasonable sorting algorithms, and is slower than bubble sort, a canonical example of a fairly inefficient sort. It is, however, more efficient than Slowsort. The name comes from The Three Stooges The Three Stooges were an American vaudeville and comedy team active from 1922 until 1970, best remembered for their 190 short-subject films by Columbia Pictures. Their hallmark styles were physical, farce, and slapstick comedy. Six total .... The algorithm is defined as follows: * If the value at the start is larger than the value at the end, swap them. * If there are three or more elements in the list, then: ** Stooge sort the initial 2/3 of the list ** Stooge sort the final 2/3 of the list ** Stooge sort the initial 2/3 of the list again It is important to get the integer sort size used in the recurs ...
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Sorting Stoogesort Anim
Sorting refers to ordering data in an increasing or decreasing manner according to some linear relationship among the data items. # ordering: arranging items in a sequence ordered by some criterion; # categorizing: grouping items with similar properties. Ordering items is the combination of categorizing them based on equivalent order, and ordering the categories themselves. By type Information or data In , arranging in an ordered sequence is called "sorting". Sorting is a common operation in many applications, and efficient algorithms have been developed to perform it. The most common uses of sorted sequences are: * making lookup or search efficient; * making merging of sequences efficient; * enabling processing of data in a defined order. The opposite of sorting, rearranging a sequence of items in a random or meaningless order, is called shuffling. For sorting, either a weak order, "should not come after", can be specified, or a strict weak order, "should come before" (spec ...
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Sorting Algorithm
In computer science, a sorting algorithm is an algorithm that puts elements of a List (computing), list into an Total order, order. The most frequently used orders are numerical order and lexicographical order, and either ascending or descending. Efficient sorting is important for optimizing the Algorithmic efficiency, efficiency of other algorithms (such as search algorithm, search and merge algorithm, merge algorithms) that require input data to be in sorted lists. Sorting is also often useful for Canonicalization, canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm must satisfy two conditions: # The output is in monotonic order (each element is no smaller/larger than the previous element, according to the required order). # The output is a permutation (a reordering, yet retaining all of the original elements) of the input. Although some algorithms are designed for sequential access, the highest-performing algorithms assum ...
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Array Data Structure
In computer science, an array is a data structure consisting of a collection of ''elements'' (value (computer science), values or variable (programming), variables), of same memory size, each identified by at least one ''array index'' or ''key'', a collection of which may be a tuple, known as an index tuple. An array is stored such that the position (memory address) of each element can be computed from its index tuple by a mathematical formula. The simplest type of data structure is a linear array, also called a one-dimensional array. For example, an array of ten 32-bit (4-byte) integer variables, with indices 0 through 9, may be stored as ten Word (data type), words at memory addresses 2000, 2004, 2008, ..., 2036, (in hexadecimal: 0x7D0, 0x7D4, 0x7D8, ..., 0x7F4) so that the element with index ''i'' has the address 2000 + (''i'' × 4). The memory address of the first element of an array is called first address, foundation address, or base address. Because the mathematical conc ...
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Recursion
Recursion occurs when the definition of a concept or process depends on a simpler or previous version of itself. Recursion is used in a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics and computer science, where a function (mathematics), function being defined is applied within its own definition. While this apparently defines an infinite number of instances (function values), it is often done in such a way that no infinite loop or infinite chain of references can occur. A process that exhibits recursion is ''recursive''. Video feedback displays recursive images, as does an infinity mirror. Formal definitions In mathematics and computer science, a class of objects or methods exhibits recursive behavior when it can be defined by two properties: * A simple ''base case'' (or cases) — a terminating scenario that does not use recursion to produce an answer * A ''recursive step'' — a set of rules that reduce ...
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Sorting Algorithm
In computer science, a sorting algorithm is an algorithm that puts elements of a List (computing), list into an Total order, order. The most frequently used orders are numerical order and lexicographical order, and either ascending or descending. Efficient sorting is important for optimizing the Algorithmic efficiency, efficiency of other algorithms (such as search algorithm, search and merge algorithm, merge algorithms) that require input data to be in sorted lists. Sorting is also often useful for Canonicalization, canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm must satisfy two conditions: # The output is in monotonic order (each element is no smaller/larger than the previous element, according to the required order). # The output is a permutation (a reordering, yet retaining all of the original elements) of the input. Although some algorithms are designed for sequential access, the highest-performing algorithms assum ...
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Time Complexity
In theoretical computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that each elementary operation takes a fixed amount of time to perform. Thus, the amount of time taken and the number of elementary operations performed by the algorithm are taken to be related by a constant factor. Since an algorithm's running time may vary among different inputs of the same size, one commonly considers the worst-case time complexity, which is the maximum amount of time required for inputs of a given size. Less common, and usually specified explicitly, is the average-case complexity, which is the average of the time taken on inputs of a given size (this makes sense because there are only a finite number of possible inputs of a given size). In both cases, the time complexity is gene ...
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Bubble Sort
Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the input list element by element, comparing the current element with the one after it, Swap (computer science), swapping their values if needed. These passes through the list are repeated until no swaps have to be performed during a pass, meaning that the list has become fully sorted. The algorithm, which is a comparison sort, is named for the way the larger elements "bubble" up to the top of the list. It performs poorly in real-world use and is used primarily as an educational tool. More efficient algorithms such as quicksort, timsort, or merge sort are used by the sorting libraries built into popular programming languages such as Python and Java. History The earliest description of the bubble sort algorithm was in a 1956 paper by mathematician and actuary Edward Harry Friend, ''Sorting on electronic computer systems'', published in the third issue of the third volume ...
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Slowsort
Slowsort is a sorting algorithm. It is of humorous nature and not useful. It is a ''reluctant algorithm'' based on the principle of ''multiply and surrender'' (a parody formed by taking the opposites of ''divide and conquer''). It was published in 1984 by Andrei Broder and Jorge Stolfi in their paper "Pessimal Algorithms and Simplexity Analysis" (a parody of '' optimal algorithms'' and '' complexity analysis''). Algorithm Slowsort is a recursive algorithm. * It sorts in-place. * It is an unstable sort. (It might change the order of equal-valued keys.) This is an implementation in pseudocode: procedure slowsort(A[], start_idx, end_idx) // Sort array range A[start ... end] in-place. if start_idx ≥ end_idx then return middle_idx := floor( (start_idx + end_idx)/2 ) slowsort(A, start_idx, middle_idx) // (1.1) slowsort(A, middle_idx + 1, end_idx) // (1.2) if A nd_idx -> slowsort xs , length xs 0. Slowsort is therefore n ...
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The Three Stooges
The Three Stooges were an American vaudeville and comedy team active from 1922 until 1970, best remembered for their 190 short-subject films by Columbia Pictures. Their hallmark styles were physical, farce, and slapstick comedy. Six total Stooges appeared over the act's run (with only three working at any given time). The two constants were: * Moe Howard (born Moses Horwitz), 1922–1970, and *Larry Fine (born Louis Feinberg), 1925–1970 The "third stooge" was played in turn by: * Shemp Howard (born Samuel Horwitz), 1922–1932, 1947–1955 ** Joe Palma (born Joseph Provenzano), 1956; stand in for Shemp * Curly Howard (born Jerome Horwitz), 1932–1946 * Joe Besser (born Jessel Besser), 1956–1957 * "Curly Joe" DeRita (born Joseph Wardell), 1958–1970 The act began in 1922 as part of a vaudeville comedy act billed as "Ted Healy and His Stooges", consisting originally of Ted Healy and Moe Howard. Over time, they were joined by Moe's brother, Shemp Howard, and then La ...
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National Institute Of Standards And Technology
The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into Outline of physical science, physical science laboratory programs that include Nanotechnology, nanoscale science and technology, engineering, information technology, neutron research, material measurement, and physical measurement. From 1901 to 1988, the agency was named the National Bureau of Standards. History Background The Articles of Confederation, ratified by the colonies in 1781, provided: The United States in Congress assembled shall also have the sole and exclusive right and power of regulating the alloy and value of coin struck by their own authority, or by that of the respective states—fixing the standards of weights and measures throughout the United States. Article 1, section 8, of the Constitution of the United States, ratified i ...
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Comparison Sorts
Comparison or comparing is the act of evaluating two or more things by determining the relevant, comparable characteristics of each thing, and then determining which characteristics of each are similar to the other, which are different, and to what degree. Where characteristics are different, the differences may then be evaluated to determine which thing is best suited for a particular purpose. The description of similarities and differences found between the two things is also called a comparison. Comparison can take many distinct forms, varying by field: To compare things, they must have characteristics that are similar enough in relevant ways to merit comparison. If two things are too different to compare in a useful way, an attempt to compare them is colloquially referred to in English as "comparing apples and oranges." Comparison is widely used in society, in science and the arts. General usage Comparison is a natural activity, which even animals engage in when decidin ...
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