الگوریتم های مرتب سازی

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Sorting Algorithms 

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Which sorting algorithm is used by Python in the sort() method? 5 putt on ب ۸ ۲۵ 4و ۲ 992 

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Timsort Timsort is a hybrid sorting algorithm, derived from merge sort and insertion sort, designed to perform well on many kinds of real-world data. The algorithm finds subsets of the data that are already ordered, and uses the subsets to sort the data more efficiently. This is done by merging an identified subset, called a run, with existing runs tntil certain criteria are Til 

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7 We sort those runs using insertion sor. one by one and then merge those runs using the combine function used in merge sort. If the size of the Array is less than run, then Array gets sorted just by using Insertion Sort. The size of the run may vary from 32 to 64 depending upon the size of the array The idea is based on the fact that insertion sort performs well for small arrays. 

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ممصم" برت temporary x Sear ‏میت‎ 

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It is now also used to sort artays in java SE 7, and on the Android 0101001011 

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Which sorting algorithm is used by C++ in the sort() method? ب ۸ ۲۵ 4و ۲ 992 

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The sort function is included from the —.» 90 header of the C++ Standard Library. The GNU Standard C++ libraray for example, uses a 3-part hybrid sorting algorithm: introsort is performed first (introsort itself being a hybrid of quicksort and heap sort), toa maximum depth given by 2xlog2 n, where n is the number of elements, followed by an insertion sort on the result. 

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Introsort(Introspective sort) is a comparison based sort that consists of three sorting phases. They are Quicksort, Heapsort, and Insertion sort. 

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Quicksort SMM oleate) The Quicksort is | }complexity depends an efficient lon two phases of the ‎algorithm Quicksort algorithm.‏ و0۳ ‎Choosing the pivot‏ .1 ‏عمع صم ۱ ‎tees iota‏ ا الت رورا ارت تا ‎of O(N*2) during the course of‏ ‎comparisons with] | the algorithm‏ ‎O(N) auxiliary ‎Space. ‎ 

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The best versions of Quicksort are competitive with both heap sort and merge sort on the vast majority of inputs. Both Heapsort and Mergesorthave ‏ا‎ ‎running time, together with a stack usage of O(1) for Heapsort and O(log N) for Mergesort respectively. Also, ۱۳۱۱۱ ‏لحي ات ار ور‎ any of the above algorithms if the ‎a‏ 1-1 نا ‎Combining all the pros of the ‎sorting algorithms, Introsort ‎behaves based on the data set. ‎ 

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If the number of elements in the input gets fewer, the Introsort performs Insertion sort for the input. Having the least number of comparisons(Quicksort) in mind, for splitting the array by finding the pivot element, Quicksort is used. Quoted earlier, the worst case of Quicksort is based on the two phases and here is how we can fix them. 

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Recursion depth during the course of the algorithm: ‏تییوت‎ recursion depth gets higher, Introsort uses Heapsort as it has the definite upper ** Choosing the pivot ‏لق عللا :غأمعممعاع‎ ‏معطاغاع عونا‎ 05 160130-01-23 ‏تأمععممء‎ ‎or randomized pivot concept or middle as the pivot concept! for finding the pivot element 

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Time Complexity: Worst-case performance: O(nlogn) (better than Quicksort) Average-case performance: O(nlogn) In the Quicksort phase, the pivot can either be chosen using the median-of-3 concept or last ‏6۲اه‎ ۵۴ 6 ۵۳۲۵۷۰ ۳۵۲ 031۵ ۲ has a huge number of elements, median-of-3 concept slows down the running time of the Quicksort. 

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Fo #7 ۹ Which sort algorithm is most commonly used? ب ۸ ۲۵ 4و ۲ 992 

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Practical general sorting algorithms are almost always based on an algorithm with average time complexity (and generally worst-case complexity) O(n log n), of which the most common are heap sort, merge sort, and quicksort. 

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Thank You