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• A[i] * A[j] = k in O(nlog(n))

  - by gleb-pendler

  A is an Array of n positive int numbers k given int Algorithm should find if there is a pair of numbers which product gives the result a. A[i] * A[j] = k b. A[i] = A[j] + k if there is such a couple the algorithm should return thier index. thanks in advance.

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• Efficiency of purely functional programming

  - by Sid

  Does anyone know what is the worst possible asymptotic slowdown that can happen when programming purely functionally as opposed to imperatively (i.e. allowing side-effects)? Clarification from comment by itowlson: is there any problem for which the best known non-destructive algorithm is asymptotically worse than the best known destructive algorithm, and if so by how much?

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• finding two most distant elements in a binary tree

  - by attwad

  I am looking for an algorithm that could find the two most distant elements in a binary tree, not looking for any special language, just for the algorithm. Thanks.

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• Java - Collections.sort() performance

  - by msr

  Hello, Im using Collections.sort() to sort a LinkedList whose elements implements Comparable interface, so they are sorted in a natural order. In the javadoc documentation its said this method uses mergesort algorithm wich has n*log(n) performance. My question is if there is a more efficient algorithm to sort my LinkedList? The size of that list could be very high and sort will be also very frequent. Thanks!

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• Antialiasing algorithm

  - by y_nk

  Hello, I'm looking for a good way to antialias a bitmap i'm generating with actionscript3. My goal would be to achieve this processing from scratch. I read a lot on the subject but the most common algorithm are looking too loud to work properly within my swf, because i'm using a scale2x algorithm to smooth the edges of my shape. It doesn't have to be colorfull, since my shape is black and white ! Any hint would be appreciated, thanks :)

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• Algorithm for multiple word matching in a text, count the number of every matched word

  - by 66

  I have noticed that it has solutions for matching multiple words in a given text, such as below: http://stackoverflow.com/questions/1099985/algorithm-for-multiple-word-matching-in-text If I want to know exactly the number of appearances of each matched word in the text, my solution is like this: step 1: using ac-algorithm to obtain the maching words; step 2: count the number of each word obtained in step 1 is there a faster way? Thx~

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• A two way minimum spanning tree of a directed graph

  - by mvid

  Given a directed graph with weighted edges, what algorithm can be used to give a sub-graph that has minimum weight, but allows movement from any vertex to any other vertex in the graph (under the assumption that paths between any two vertices always exist). Does such an algorithm exist?

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• Finding partial substrings within a string

  - by Peter Chang

  I have two strings which must be compared for similarity. The algorithm must be designed to find the maximal similarity. In this instance, the ordering matters, but intervening (or missing) characters do not. Edit distance cannot be used in this case for various reasons. The situation is basically as follows: string 1: ABCDEFG string 2: AFENBCDGRDLFG the resulting algorithm would find the substrings A, BCD, FG I currently have a recursive solution, but because this must be run on massive amounts of data, any improvements would be greatly appreciated

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• best algorithm for swapping?

  - by ashish yadav

  i have heard from a friend of mine that the best algorithm for swapping is " (a^=b^=a^=b)" where a and b are two integers to be swapped. but when i applied this using c language it resulted in crashing. can anyone of you fine people explain the possible reason for that? please suggest the best algorithm for swapping. thank you!!!!

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• fft algorithm implementation with hadoop

  - by haluk

  Hi, I want to implement Fast Fourier Transform algorithm with Hadoop. I know recursive-fft algorithm but I need your guideline in order to implement it Map/Reduce approach. Any suggestions? Thanks.

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• Balancing heuristics (for timetable problem)

  - by genesiss

  I'm writing a genetic algorithm for generating timetables. At the moment I'm using these two heuristics: Number of holes between lectures in one day (related) (less holes - bigger score) Each hour has some value, so for each timetable I sum values for hours when lectures are on. (lectures at more appropriate hours - bigger score) I want to balance these two heuristics, so the algorithm wouldn't favor neither one. What would be the best way to achieve this?

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• Are there algorithms for increasing resolution of an image?

  - by David

  Are there any algorithms or tools that can increase the resolution of an image - besides just a simple zoom that makes each individual pixel in the image a little larger? I realize that such an algorithm would have to invent pixels that don't really exist in the original image, but I figured there might be some algorithm that could intelligently figure out what pixels to add to the image to increase its resolution.

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• Variation on Hamiltonian path problems

  - by Robert

  Thinking about if we modify the definition of Hamiltonian path as we need to go through every edge once,but can pass vertex any times,is there still an algorithm available? How should I modify the original Hamiltonian algorithm to account for this?

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• Find if there is an element repeating itself n/k times

  - by gleb-pendler

  You have an array size n and a constant k (whatever) You can assume the the array is of int type (although it could be of any type) Describe an algorithm that finds if there is an element(s) that repeats itself at least n/k times... if there is return one. Do so in linear time (O(n)) The catch: do this algorithm (or even pseudo-code) using constant memory and running over the array only twice

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• Challenging question find if there is an element repeating himself n/k times

  - by gleb-pendler

  here how it's goes: You have an array size n and a constant k (whatever) you can assume the the array of int type tho it kind be of whatever type but just for the clearane let assume it's an integer. Describe an algorithm that finds if there is an element/s that repeat itself at least n/k times... if there is return one - do it in linear time running O(n) Imortent: now the catch do this algorithm or even pseuo-code using a constant usage of memory and running over the array only TWICE!!!

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• What does ZIP stand for (the compression format, not the postal codes)

  - by codymanix

  Does anybody know for what the acronym ZIP stands for which was and is used in programs like PKZIP and GZIP? There is a compression algorithm named Lempel-Ziv-Welch-Algorithm (LZW) maybe the guy named Ziv invented together with other people ZIP? I cannot find anything about it, maybe its not an abbreviation but instead it just means "to zip files" but I think originally there was more about it..

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• multiplying big numbers using recursion and array

  - by persian Dev

  hi friends. I am supposed to write and algorithm which uses recursion (Divide-And-Conquer) to multiply two arrays.These arrays hold big Numbers that are greater than long(int 64) or double capacity. Would please help to write this algorithm in C#?

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• Linear-time algorithms for sorting vertices in polygon contours

  - by Cheery

  I figured out an algorithm that lets me turn my holed polygons into trapezoids in linear time if I have vertex indices sorted from lowest coordinate to highest. I get simple polygons as contours. They have certain order that might be exploited most of the time. So giving these conditions, is there a near-linear-time algorithm on sorting?

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• Sorting a 2 dimensional array on multiple columns

  - by Anon

  I need to sort a 2 dimensional array of doubles on multiple columns using either C or C++. Could someone point me to the algorithm that I should use or an existing library (perhaps boost?) that has this functionality? I have a feeling that writing a recursive function may be the way to go but I am too lazy to write out the algorithm or implement it myself if it has been done elsewhere. :-) Thanks

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• Drawing Directed Acyclic Graphs: Using DAG property to improve layout/edge routing?

  - by Robert Fraser

  Hi, Laying out the verticies in a DAG in a tree form (i.e. verticies with no in-edges on top, verticies dependent only on those on the next level, etc.) is rather simple. However, is there a simple algorithm to do this that minimizes edge crossing? (For some graphs, it may be impossible to completely eliminate edge crossing.) A picture says a thousand words, so is there an algorithm that would suggest: instead of:

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• how to swap array-elements to transfer the array from a column-like into a row-like representation

  - by Christian Ammer

  For example: the array a1, a2, a3, b1, b2, b3, c1, c2, c3, d1, d2, d3 represents following table a1, b1, c1, d1 a2, b2, c2, d2 a3, b3, c3, d3 now i like to bring the array into following form a1, b1, c1, d1, a2, b2, c2, d2, a3, b3, c3, d3 Does an algorithm exist, which takes the array (from the first form) and the dimensions of the table as input arguments and which transfers the array into the second form? I thougt of an algorithm which doesn't need to allocate additional memory, instead i think it should be possible to do the job with element-swap operations.

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• Detect session hang and kill it

  - by Jack Juiceson

  Hi all, I have an asp.net page that runs certain algorithm and returns it's output. I was wondering what will happen and how to handle a case where the algorithm due to a bug goes into infinite loop. It will hog the cpu and other sessions will be served very slowly. I would love to have a way to tell IIS, if processing Algo.aspx takes more than 5 seconds, kill it or something like that. Thanks in advance

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• Algorithm performance

  - by william007

  I am testing an algorithm for different parameters on a computer. I notice the performance fluctuates for each parameters. Say I run for the first time I got 20 ms, second times I got 5ms, third times I got 4ms: But the algorithm should work the same for these 3 times. I am using stopwatch from C# library to count the time, is there a better way to measure the performance without subjecting to those fluctuations?

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• Python - Is a dictionary slow to find frequency of each character?

  - by psihodelia

  I am trying to find a frequency of each symbol in any given text using an algorithm of O(n) complexity. My algorithm looks like: s = len(text) P = 1.0/s freqs = {} for char in text: try: freqs[char]+=P except: freqs[char]=P but I doubt that this dictionary-method is fast enough, because it depends on the underlying implementation of the dictionary methods. Is this the fastest method?

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• Number of 0/1 colorings of a m X n rectangle which have no monochromatic subrectangles with both dimension greater than 1.

  - by acbruptenda

  A m x n rectangular matrix is give, and each cell is to be filled with 0/1 colour. I have to find number of colorings possible so that there is no monochromatic coloured (same colour) sub-rectangle whose both dimension is greater than 1 (eg - 2x2, 2x3,4x3) I have found a slightly different version of it here But they have said nothing about the algorithm. So, I am looking for an algorithm here !!

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