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| | Merge sort - Wikipedia, the free encyclopedia |
 | | Merge sort is so inherently sequential that it's practical to run it using slow tape drives as input and output devices. | | | Merge sort is much more efficient than quicksort if the data to be sorted can only be efficiently accessed sequentially, and is thus popular in languages such as Lisp, where sequentially accessed data structures are very common. | | | As of Perl 5.8, merge sort is its default sorting algorithm (it was quicksort in previous versions of Perl). |
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http://en.wikipedia.org/wiki/Merge_sort
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| | Merge Sort Algorithm |
| | The merge sort algorithm is a divide and conquer algorithm. | | | The merge sort algorithm is said to be one of the earliest sorting algorithms created. | | | The code for the merge sort algorithm has two methods to it. |
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http://www2.hawaii.edu/~loganh/mergesort.html
(880 words)
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| | Merge Sort Introduction |
| | Merge Sort is a "recursive" algorithm because it accomplishes its task by calling itself on a smaller version of the problem (only half of the list). | | | The basic philosophy of the merge is to determine which sub-list starts with the smallest data and copy that item into the merged list and move on to the next item in the sub-list. | | | While it can be done in the original array, the algorithm is much simpler if it uses a separate array to hold the portion that has been merged and then copies the merged data back into the original array. |
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http://www.ship.edu/~cawell/Sorting/mergeintro.htm
(361 words)
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| | Merge Sort |
| | Sorting is one of the best studied problems in computer sciences. | | | Sorting is a common and very important problem in computer science. | | | But we can say that mergesort is one of the faster sorting algorithms. |
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http://www2.hawaii.edu/~lammicha/MergeSort.html
(671 words)
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| | Cprogramming.com - Articles - Merge Sort |
| | heap sort, merge sort requires additional memory proportional to the size of the input for scratch space, but, unlike heap sort, merge sort is stable, meaning that "equal" elements are ordered the same once sorting is complete. | | | As a result, it makes more sense to think about merge sort in terms of the number of operations performed on a single level of the tree. | | | At the level where the results of the base case are being merged (at depth 1 in the above tree), each merge sort call is merging exactly half the list. |
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http://www.cprogramming.com/tutorial/computersciencetheory/mergesort.html
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| | Merge Sort |
| | To perform the merging, we use an auxilliary procedure Merge(A,p,q,r), where A is an array and p,q and r are indices numbering elements of the array such that dure assumes that the subarrays A[p..q] and A[q+1...r] are in sorted order.It merges them to form a single sorted subarray that replaces the current subarray A[p..r]. | | | The key operation of the mergesort algorithm is the merging of the two sorted sequencesin the "combine step". | | | The mergesort algorithm is based on the classical divide-and-conquer paradigm. |
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http://www.cse.iitk.ac.in/users/dsrkg/cs210/applets/sortingII/mergeSort/merge.html
(160 words)
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| | Merge - Wikipedia, the free encyclopedia |
| | Merge (software) is a computer package, a cut-down 'Virtual Machine', for running Windows 9x on x86 processors under UNIX | | | the merge sort, a sort algorithm that sorts a list by relying on the merge algorithm | | | the merge algorithm which combines two or more sorted lists into a single sorted one |
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http://en.wikipedia.org/wiki/Merge
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| | Recursion: Merge Sort |
| | This can be illustrated by considering a recursive algorithm to sort an array as opposed to the previously considered iterative sorting algorithm. | | | This sorting algorithm is known as merge sort. | | | But in the computer, the sorting is done in a completely different way. |
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http://www.dcs.qmw.ac.uk/~mmh/ItA/algorithms/resources/mergesort.html
(1310 words)
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| | sort -- sort/merge utility |
| | sorts the concatenation of all input files and produces the output on standard output. | | | With either syntax, if the end of a sorting key is not a valid position or no end was specified, the sorting key extends to the end of the input record. | | | The output file can be one of the input files. |
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http://www.mkssoftware.com/docs/man1/sort.1.asp
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| | Merge Sort |
| | There are non-recursive versions of the merge sort, but they don't yield any significant performance enhancement over the recursive algorithm on most machines. | | | Elementary implementations of the merge sort make use of three arrays - one for each half of the data set and one to store the sorted list in. | | | Like most recursive sorts, the merge sort has an algorithmic complexity of O(n log n). |
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http://linux.wku.edu/~lamonml/algor/sort/merge.html
(249 words)
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| | Talk:Merge sort - Wikipedia, the free encyclopedia |
| | I think a Lisp example of the code for merge sort would be illuminating. | | | The definition given in this article is for a Binary merge sort. | | | I'm also suspicious about the assertion that merge sort does better on average than quicksort on moves. |
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http://en.wikipedia.org/wiki/Talk:Merge_sort
(1624 words)
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| | Merge Sort |
| | A C function to sort a file, using arbitrary read, write and comparison functions and a tape-merge algorithm, which is O(n log n) in all cases. | | | Notice that if this technique is used, the sorted and unsorted files must be different, and the argument passing structure may become a little less elegant because the function call to delete a file usually requires file specifications, not merely a file pointer. | | | This performance is known to be optimal for general sorts. |
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http://www.efgh.com/software/mergesor.htm
(1411 words)
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| | mergesort() -- perform merge sort |
| | Insufficient memory is available to implement the sort algorithm. | | | function sorts an array of nmemb objects, the initial element of which is pointed to by base. | | | Is the size of each object in memory. |
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http://www.datafocus.com/docs/man3/mergesort.3.asp
(177 words)
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| | Merge Sort |
| | Merge Sort (Depth First, with User Input, Input List size may not be a power of 2) | | | Merge Sort (Breadth First, with User Input, Input List size must be a power of 2) | | | Merge Sort (Depth First, Input List size is not a power of 2) |
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http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/Sorting/mergeSort.htm
(252 words)
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| | The xSortLab Applet |
| | It is also the most common example in the "analysis of algorithms," which is the study of computational procedures and of the amount of time and memory that they require. | | | The statistics include the number of comparison and copy operations that have been performed, the number of arrays that have been sorted so far, the elapsed time since the computer began sorting, and the approximate compute time that the computer has devoted to sorting. | | | When you begin a sort, the first thing the computer does is to fill up the arrays with random numbers. |
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http://math.hws.edu/TMCM/java/xSortLab
(1112 words)
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| | SparkNotes: Merge Sort: The Merge Sort Algorithm |
| | To understand the efficiency of the mergesort algorithm it is useful to separate the merging from the sorting. | | | To determine the efficiency of the sorting (breaking down) algorithm, consider how many times the data has to be split. | | | Home : Math & Science : Computer Science Study Guides : Sorting : Merge : The Merge Sort Algorithm |
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http://www.sparknotes.com/cs/sorting/merge/section1.html
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| | K-way Merge Sort Algorithm |
| | The files of any previous merge pass become now the input files for the next merge pass. | | | merge input buffer will be ignored during the selection. | | | the next output file to write the results of sorting the new sorted sequences. |
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http://www.csam.montclair.edu/~gutierre/kmergesa.htm
(334 words)
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| | The merge sort |
| | Like the insertion sort, the merge sort algorithm can be made more generally applicable by making the ordering rule a parameter of the (curried) procedure, so the final implementation of this first version of merge sort, with the | | | Accordingly, when the number of values to be sorted is large (greater than one hundred, say), it is preferable to use a sorting method that is more complicated to set up initially but performs fewer operations on each element in the process of positioning it correctly. | | | The insertion sort algorithm is not always the best one to use. |
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http://www.math.grin.edu/courses/Scheme/spring-1998/merge-sort.html
(1937 words)
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| | Re: merge sort temporary files |
| | sort should first try to unlink the output file before opening it in "w" mode. | | | Yet there is a simple way to fix sort's behaviour to cater to this case without resorting (no pun intended) to a temporary file. | | | cat would keep reading the old file while sort writes to a new file with the same name. |
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http://www.mail-archive.com/bug-coreutils@gnu.org/msg01839.html
(195 words)
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| | Merge Sort |
| | Merge sort is stable if written carefully, it is a matter of a `<=' versus a `<'. | | | For a real programming challange, try to devise an algorithm to merge (sorted) A[i..j] and (sorted) A[j+1..k] into A[i..k], only using O(1), i.e. | | | However, because the array sections vary in a simple and systematic way, there is a non-recursive version that does not need any stack and requires O(N) space only (but there again, log(N)< |
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http://www.csse.monash.edu.au/~lloyd/tildeAlgDS/Sort/Merge
(361 words)
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| | Merge Sort |
| | We then sort each half, using this algorithm recursively, and use the above merge algorithm to combine the two halves into a single ordered list. | | | This is just a re-write of the above merge algorithm with the notation changed a bit. | | | To keep things simple you would probably need to introduce an extra `storage array' to play the role of z in that algorithm, and then copy z back into the appropriate part of x. |
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http://www.maths.abdn.ac.uk/~igc/tch/mx4002/notes/node41.html
(137 words)
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| | Parallel Mergesort Algorithm |
| | The basic merging algorithm takes two input arrays A and B, an output array C, and three counters, Aptr, Bptr, Cptr, which are initially set to the beginning of their respective arrays. | | | Because the lists are sorted, this can be done in one pass through the input, if the output is out in a third list. | | | The fundamental operation in this algorithm is merging two sorted lists. |
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http://pioneer.netserv.chula.ac.th/~mveera/AlgorithmVisualization/SeniorProject2000/mergesort.htm
(165 words)
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| | Sorting Algorithms |
| | Sort algorithms which only use an abstract key comparison operation always need at least O(n log n) comparisons on average; while sort algorithms which exploit the structure of the key space cannot sort faster than O(n log k) where k is the size of the keyspace. | | | Illustration of sorting algorithms BubbleSort, Bidirectional BubbleSort, QuickSort, SelectionSort, Insertionsort and ShellSort | | | Sorting Algorithms Demo by Jason Harrison (harrison@cs.ubc.ca) -- Java applets, not possibility to alter input. |
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http://www.softpanorama.org/Algorithms/sorting.shtml
(3376 words)
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| | Example: Batcher's Bitonic Merge Sort. Ver 1.0+ |
| | The most complex part of the Bitonic merge algorithm is keeping track of where one should generate an ascending sequence and where one must generate a descending sequence. | | | Within the TEClass thread functions we have the two main components of the sorting algorithm sort() and merge() which accomplish the bitonic merge and bitonic sort. | | | Another classic example is the Batcher Bitonic Merge Sorting algorithm. |
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http://www.extreme.indiana.edu/sage/pcxx_ug/subsection3_6_2.html
(996 words)
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| | fejj's log: merge sort |
| | Most people have told me that the biggest suckage of the merge sort algorithm is that it requires a temporary array. | | | Now that we have such a fast algorithm for sorting, we'll need to bump up our array size in order to compare further sorting algorithms. | | | We then need to merge the 2 subsets back together again into a sorted set starting at position lo and ending with position hi. |
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http://primates.ximian.com/~fejj/blog/archives/000015.html
(895 words)
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| | Lecture 7 - Merge Sort |
| | The defining feature of Merge Sort is that in step (1), the given list is divided into two equal size pieces (or as near equal as possible). | | | We proceed until we're down to singleton or empty lists, which are always sorted, then we work our way back up the recursion by MERGING together the short lists into larger ones (which replace the list that we started with at that level). | | | The slowest step in this algorithm is the MERGE operation. |
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http://www.cs.ualberta.ca/~holte/T26/merge-sort.html
(180 words)
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| | Merge sort |
| | Basic Approach: The merge sort algorithm is a particularly effective method for sorting large data sets which are stored either in lists or in vectors. | | | One might describe the recursive case for this algorithm as follows: The first numbers of each list are compared and the smaller number is identified. | | | Merge Sort For Lists: The full merge sort algorithm for lists of numbers puts the above pieces together. |
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http://www.math.grin.edu/courses/Scheme/spring-1997/lab-merge-sort.html
(1356 words)
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| | Mergesort |
| | This variant of function merge requires in each case exactly the same number of steps – no matter if the input sequence is random, sorted or sorted in opposite direction. | | | The sorting algorithm Mergesort produces a sorted sequence by sorting its two halves and merging them. | | | Thus, the Mergesort algorithm is optimal, since the lower bound for the sorting problem of Ω( |
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http://www.iti.fh-flensburg.de/lang/algorithmen/sortieren/merge/mergen.htm
(613 words)
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| | NetLogo Models Library: Merge Sort |
| | Since this model aims to demonstrate the sort algorithm visually, the code is more complex than would be needed if the model only needed to sort the numbers. | | | The number of steps required to sort n items using this algorithm is the ceiling of logarithm (base 2) of n. | | | Order is maintained as the lists are merged so when the algorithm finishes there is only one sorted list containing all n items. |
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http://ccl.northwestern.edu/netlogo/models/MergeSort
(713 words)
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| | k-way merge sort |
| | Art S. Kagel, "k-way merge sort", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST. | | | It distributes the input into k streams by repeatedly reading a block of input that fits in memory, called a run, sorting it, then writing it to the next stream. | | | Go to the Dictionary of Algorithms and Data Structures home page. |
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http://www.nist.gov/dads/HTML/kwaymergsort.html
(143 words)
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| | merge sort |
| | Paul E. Black, "merge sort", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST. | | | Other implementations may be available through the Stony Brook Algorithm Repository, Sorting. | | | Go to the Dictionary of Algorithms and Data Structures home page. |
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http://www.nist.gov/dads/HTML/mergesort.html
(207 words)
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| | MergeSort demo with comparison bounds |
| | As of May 29, 1996, Netscape 2.02 and IBM WebExplorer (beta) are the only ones that do. | | | Note that once you have specified an input, you have to click on ``Load input'' in order for it to be loaded into the array for sorting. | | | Write down a recurrence relation for T'(n) which uses the tighter estimate of n-1 comparisons for merging two lists into one list of length n. |
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http://www.cs.toronto.edu/~neto/teaching/238/16/mergesort.html
(1321 words)
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| | Programming assignment - Merge sort |
| | The ultimate goal of this assignment is to implement the classic merge sort algorithm. | | | that creates an array of random numbers whose size the user specifies (either through command line arguments or prompting, or both), and then prints the original array and the sorted version of the array. | | | In solving this problem you'll have to use |
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http://www.mrs.umn.edu/~mcphee/Courses/1998_99/Winter/CSci_3200/assignments/Merge_sort.shtml
(242 words)
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| | Merge Sort in COBOL |
| | A simpler algorithm, such as an insertion sort, may provide better performance with short lists. | | | It should come as no surprise, then, that a sorting algorithm originally designed for tapes can also work for linked lists. | | | The following description is based on a classical algorithm called the three tape sort (because you can use it with three tape drives). |
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http://home.swbell.net/mck9/cobol/tech/llmerge.html
(811 words)
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| | Merge Sort |
| | When the lists consist of single nodes, they are then merged two at a time to create the final sorted list. | | | while ((first != null) andand (second != null)) // Merge the two lists until one becomes empty. | | | /* SortClass contains a merge sort method that can be used to sort data in a linked list. |
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http://csis.pace.edu/~wolf/CS601/SortClass.htm
(412 words)
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| | Merge sort |
| | divide the array at its midpoint, and recursively apply merge sort to both halves. | | | The height of the stick indicates the value of the number, and its left-right position indicates its location in the array. | | | Look for partially-sorted portions of the array, which result from recursive calls to merge sort. |
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http://www.cs.princeton.edu/~ah/alg_anim/gawain-4.0/MergeSort.html
(131 words)
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| | Merge Sort |
| | This sorting method uses divide-and-conquer technique, which suggests sorting algorithms with the following general structure: if number of elements n is one, terminate; otherwise, partition array into two or more subarrays; sort each; combine the sorted subarrays into a single sorted array. | | | If we examine this program carefully, we see that the recursion simply divides the array repeatedly until we are left with segments of size 1. | | | To combine the sorted subarrays we use a process called merge, which combines to sorted sequences into one. |
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http://www.bridgeport.edu/~dichter/lilly/mergesort.htm
(168 words)
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| | Merge Sort Algorithm Simulation |
| | A selection sort demonstration algorithm based on SortAlgorithm.java and SortItem.java. | | | Following Merge Sort Algorithm is designed by James Gosling | | | Click on the applet below to see the algorithm run |
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http://www.geocities.com/SiliconValley/Program/2864/File/Merge1/mergesort.html
(217 words)
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| | Koders Search: merge sort |
| | Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ /* Creates a index for a database by reading keys, sorting them and outputing them in sorted order through SORT_INFO functions. | | | /********************************************************************** * * * COBOL Sort Header File * * * * Copyright (C) 2000 by Theodore J. Seward, Jr. | | | */ /* Creates a index for a database by reading keys, sorting them and outputing them in sorted order through SORT_INFO functions. |
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http://www.koders.com/?s=merge+sort
(740 words)
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| | Merge sort |
| | Merge the resolting sorted sub-arrays into the resulting subarray | | | Here is what the main program will look like. | | | Regarding the merge sort u shud first specify do u want 2-way merge sort, 3-way merge or n-way.well merge sort algo is as follows: |
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http://www.daniweb.com/techtalkforums/thread14501.html
(374 words)
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| | Merge sort - Algorithmist |
| | Merge sort is a sorting algorithm invented by John von Neumann based on the divide and conquer technique. | | | Bottom-up merge sort is a non-recursive variant of the merge sort, in which the array is sorted by a sequence of passes. | | | The general concept is that we first break the list into two smaller lists of roughly the same size, and then use merge sort recursively on the subproblems, until they cannot subdivide anymore (i.e. |
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http://www.algorithmist.com/index.php/Merge_sort
(196 words)
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| | Merge Sort |
| | New creates new data and initializes sort; toggles between random and inverse order. | | | Size toggles between 12 bars and 100 bars; also creates new data and initializes sort. |
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http://brain.com.pk/~mnk/Fall2002/DStr/MergeSort/MergeSort.html
(28 words)
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| | Scheme merge sort assignment |
| | This operation should be linear in the size of two input lists, i.e., if the two input lists together have N items, then this should take O(N) comparisons. | | | This will involve defining several different functions that will work together to solve the problem. | | | For this assignment you're to implement merge sort in scheme. |
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http://www.mrs.umn.edu/~mcphee/Courses/1998_99/Fall/CSci_1200/Assignments/Scheme_merge_sort.shtml
(390 words)
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| | Merge sort |
| | comparisons to sort any file of N elements. | | | Sorting is done by scanning through the array performing 1-by-1 merges to produce sorted sublists of size 2; then scan through the array performing 2-by-2 merges to produce sorted sublists of size 2, then do 4-by-4 merges to get sorted sublists of size 8, etc., until the whole list is sorted. | | | Once having implemented a merge procedure, the sorting is trivial: we only have to call the merge procedure with argument 1, 2, 4, 8,... |
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http://www.auto.tuwien.ac.at/~blieb/woop/merge.html
(231 words)
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| | merge_sort - OneLook Dictionary Search |
| | merge sort : Dictionary of Algorithms and Data Structures [home, info] | | | Phrases that include merge sort: balanced k way merge sort, balanced two-way merge sort, balanced two way merge sort, cascade merge sort, k way merge sort, more... | | | Merge Sort : Eric Weisstein's World of Mathematics [home, info] |
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http://www.onelook.com/?w=merge_sort&loc=resrd
(119 words)
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| | Merge Sort |
| | Data holder: Filled array of data structures in internal memory, or most frequently in a file or files of records stored on some external device. | | | Merge Sort is frequently used to sort very large collections of data stored on external devices. | | | If the array to be sorted has more than one item in it divide it into two parts. |
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http://www.cs.uah.edu/~rcoleman/Sorting/MergeSort.html
(244 words)
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| | Merge Sort |
| | val sort = fn : 'a list -> int list | | | This says that we could put in any sort of list | | | sort x = let val (p, q) = split x in merge (sort p, sort q) end; |
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http://perl.plover.com/yak/typing/samples/slide029.html
(58 words)
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| | merge sort |
| | A sort algorithm which splits the items to be sorted into two groups, recursively sorts each group, and merges them into a final, sorted sequence. |
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http://www.cogx.com/ctw/algorithms/mergesort.html
(25 words)
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| | Merge sort |
| | The original call will pass to the sort the values 1 and N for left and right, so that the entire array is sorted. | | | This procedure is called with the array to be sorted and a temporary array. |
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http://www.cs.uidaho.edu/~karenv/cs213/cs213.useful.pages/merge.sort.html
(38 words)
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