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  • Go and a bad prime number algorithm

    - by anonymous
    I wrote this prime number sieving algorithm and it doesn't run properly. I can't find the error in the algorithm itself. Could someone help me? This is what it's supposed to print: [2 3 5 7 11 13 17 19 23 29] Versus what it actually prints: [3 5 7 11 13 17 19 23 25 29] . package main import "fmt" func main() { var primes = sieve(makeNumbers(29)) fmt.Printf("%d\n", primes); } func makeNumbers(n int) []int { var numbers = make([]int, n - 1) for i := 0; i < len(numbers); i++ { numbers[i] = i + 2 } return numbers } func sieve(numbers []int) []int { var numCopy = numbers var max = numbers[len(numbers)-1] var sievedNumbers = make([]int, 0) for i := 0; numCopy[i]*numCopy[i] <= max; i++ { for j := i; j < len(numCopy); j++ { if numCopy[j] % numCopy[i] != 0 || j == i { sievedNumbers = append(sievedNumbers, numCopy[j]) } } numCopy = sievedNumbers sievedNumbers = make([]int, 0) } return numCopy }

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  • Measuring how "heavily linked" a node is in a graph

    - by Eduardo León
    I have posted this question at MathOverflow.com as well. I am no mathematician and English is not my first language, so please excuse me if my question is too stupid, it is poorly phrased, or both. I am developing a program that creates timetables. My timetable-creating algorithm, besides creating the timetable, also creates a graph whose nodes represent each class I have already programmed, and whose arcs represent which pairs of classes should not be programmed at the same time, even if they have to be reprogrammed. The more "heavily linked" a node is, the more inflexible its associated class is with respect to being reprogrammed. Sometimes, in the middle of the process, there will be no option but to reprogram a class that has already been programmed. I want my program to be able to choose a class that, if reprogrammed, affects the least possible number of other already-programmed classes. That would mean choosing a node in the graph that is "not very heavily linked", subject to some constraints with respect to which nodes can be chosen. EDIT: The question was... Do you know any algorithm that measures how "heavily linked" a node is?

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  • Data structure to build and lookup set of integer ranges

    - by actual
    I have a set of uint32 integers, there may be millions of items in the set. 50-70% of them are consecutive, but in input stream they appear in unpredictable order. I need to: Compress this set into ranges to achieve space efficient representation. Already implemented this using trivial algorithm, since ranges computed only once speed is not important here. After this transformation number of resulting ranges is typically within 5 000-10 000, many of them are single-item, of course. Test membership of some integer, information about specific range in the set is not required. This one must be very fast -- O(1). Was thinking about minimal perfect hash functions, but they do not play well with ranges. Bitsets are very space inefficient. Other structures, like binary trees, has complexity of O(log n), worst thing with them that implementation make many conditional jumps and processor can not predict them well giving poor performance. Is there any data structure or algorithm specialized in integer ranges to solve this task?

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  • Sorted queue with dropping out elements

    - by ffriend
    I have a list of jobs and queue of workers waiting for these jobs. All the jobs are the same, but workers are different and sorted by their ability to perform the job. That is, first person can do this job best of all, second does it just a little bit worse and so on. Job is always assigned to the person with the highest skills from those who are free at that moment. When person is assigned a job, he drops out of the queue for some time. But when he is done, he gets back to his position. So, for example, at some moment in time worker queue looks like: [x, x, .83, x, .7, .63, .55, .54, .48, ...] where x's stand for missing workers and numbers show skill level of left workers. When there's a new job, it is assigned to 3rd worker as the one with highest skill of available workers. So next moment queue looks like: [x, x, x, x, .7, .63, .55, .54, .48, ...] Let's say, that at this moment worker #2 finishes his job and gets back to the list: [x, .91, x, x, .7, .63, .55, .54, .48, ...] I hope the process is completely clear now. My question is what algorithm and data structure to use to implement quick search and deletion of worker and insertion back to his position. For the moment the best approach I can see is to use Fibonacci heap that have amortized O(log n) for deleting minimal element (assigning job and deleting worker from queue) and O(1) for inserting him back, which is pretty good. But is there even better algorithm / data structure that possibly take into account the fact that elements are already sorted and only drop of the queue from time to time?

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  • Convert a binary tree to linked list, breadth first, constant storage/destructive

    - by Merlyn Morgan-Graham
    This is not homework, and I don't need to answer it, but now I have become obsessed :) The problem is: Design an algorithm to destructively flatten a binary tree to a linked list, breadth-first. Okay, easy enough. Just build a queue, and do what you have to. That was the warm-up. Now, implement it with constant storage (recursion, if you can figure out an answer using it, is logarithmic storage, not constant). I found a solution to this problem on the Internet about a year back, but now I've forgotten it, and I want to know :) The trick, as far as I remember, involved using the tree to implement the queue, taking advantage of the destructive nature of the algorithm. When you are linking the list, you are also pushing an item into the queue. Each time I try to solve this, I lose nodes (such as each time I link the next node/add to the queue), I require extra storage, or I can't figure out the convoluted method I need to get back to a node that has the pointer I need. Even the link to that original article/post would be useful to me :) Google is giving me no joy. Edit: Jérémie pointed out that there is a fairly simple (and well known answer) if you have a parent pointer. While I now think he is correct about the original solution containing a parent pointer, I really wanted to solve the problem without it :) The refined requirements use this definition for the node: struct tree_node { int value; tree_node* left; tree_node* right; };

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  • please help me to solve problem

    - by davit-datuashvili
    first of all this is not homework and nobody tag it as homewrok i did not understand this porblem can anybody explain me?this is not english problem it is just misunderstanding what problem say Consider the problem of neatly printing a paragraph on a printer. The input text is a sequence of n words of lengths l1 , l2 , . . . , ln , measured in characters. We want to print this paragraph neatly on a number of lines that hold a maximum of M characters each. Our criterion of “neatness” is as follows. If a given line contains words i through j , where i = j , and we leave exactly one space between words, the number of extra space characters at the end of the line is M - j + i -(k=i,k< j,k++) lk , which must be nonnegative so that the words fit on the line. We wish to minimize the sum, over all lines except the last, of the cubes of the numbers of extra space characters at the ends of lines. Give a dynamic-programming algorithm to print a paragraph of n words neatly on a printer. Analyze the running time and space requirements of your algorithm.

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  • Solving algorithm for a simple problem

    - by maolo
    I'm searching for an algorithm (should be rather simple for you guys) that does nothing but solve the chicken or the egg problem. I need to implement this in C++. What I've got so far is: enum ChickenOrEgg { Chicken, Egg }; ChickenOrEgg WhatWasFirst( ) { ChickenOrEgg ret; // magic happens here return ret; } // testing #include <iostream> using namespace std; if ( WhatWasFirst( ) == Chicken ) { cout << "The chicken was first."; } else { cout << "The egg was first."; } cout << endl; Question: How could the pseudocode for the solving function look? Notes: This is not a joke, not even a bad one. Before you close this, think of why this isn't a perfectly valid question according to the SO rules. If someone here can actually implement an algorithm solving the problem he gets $500 in cookies from me (that's a hell lot of cookies!). Please don't tell me that this is my homework, what teacher would ever give his students homework like that?

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  • Combine Arbitrary number of polygons together

    - by Jakobud
    I have an arbitrary number of polygons (hexes in this case) that are arranged randomly, but they are all touching another hex. Each individual hex has 6 x,y vertices. The vertex's are known for all the hexes. Can anyone point me in the direction of an algorithm that will combine all the hexes into a single polygon? Essentially I'm just looking for a function that spits out an array of vertex locations that are ordered in a way that when drawing lines from one to the next, it forms the polygon. This is my method so far: Create array of all the vertices for all the hexes. Determine the number of times a vertex occurs in the array If vertex is in the array 3+ times, delete the vertices from the array. If vertex is in the array 2 times, delete one of them. The next step is tricky though. I'm using canvas to draw out these polygons, which essentially involves drawing a line from one vertex to the next. So the order of the vertices in the final array is important. It can't be sorted arbitrarily. Also, I'm not looking for a "convex hull" algorithm, as that would not draw the polygon correctly. Are there any functions out there that do something like this? Am I on the right track or is there a better more efficient way?

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  • What is the n in O(n) when comparing sorting algorithms?

    - by Mumfi
    The question is rather simple, but I just can't find a good enough answer. I've taken a look at the most upvoted question regarding the Big-Oh notation, namely this: Plain English explanation of Big O It says there that: For example, sorting algorithms are typically compared based on comparison operations (comparing two nodes to determine their relative ordering). Now let's consider the simple bubble sort algorithm: for (int i = arr.length - 1; i > 0 ; i--) { for (int j = 0; j<i; j++) { if (arr[j] > arr[j+1]) { switchPlaces(...) } } } I know that worst case is O(n^2) and best case is O(n), but what is n exactly? If we attempt to sort an already sorted algorithm (best case), we would end up doing nothing, so why is it still O(n)? We are looping through 2 for-loops still, so if anything it should be O(n^2). n can't be the number of comparison operations, because we still compare all the elements, right? This confuses me, and I appreciate if someone could help me.

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  • Making more recent items more likely to be drawn

    - by bobo
    There are a few hundred of book records in the database and each record has a publish time. In the homepage of the website, I am required to write some codes to randomly pick 10 books and put them there. The requirement is that newer books need to have higher chances of getting displayed. Since the time is an integer, I am thinking like this to calculate the probability for each book: Probability of a book to be drawn = (current time - publish time of the book) / ((current time - publish time of the book1) + (current time - publish time of the book1) + ... (current time - publish time of the bookn)) After a book is drawn, the next round of the loop will minus the (current time - publish time of the book) from the denominator and recalculate the probability for each of the remaining books, the loop continues until 10 books have been drawn. Is this algorithm a correct one? By the way, the website is written in PHP. Feel free to suggest some PHP codes if you have a better algorithm in your mind. Many thanks to you all.

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  • What are the practical differences between an IP address and a server?

    - by JMC Creative
    My understanding of IPs and other DNS-type server-related issues really falls short (read: exteme noob). I know a dedicated server would increase speed. What, if any, difference in speed would a dedicated IP make? Am I correct in understanding the Best Practices from Yahoo that I could use the second IP to serve up some content, which would increase the number of parallel downloads for the user? Or are both IPs (purchase from same hosting account) going to point to the same server? Or how does it work? Are there other optimization things I should be aware of when thinking of purchasing a dedicated IP? Clarification I am talking about the speed of serving the webpages, i.e. the speed of my website. Yes, I know that IP and server are completely different, not even opposites, just different. But this, indeed, is my question! The Question Reformulated: Will having a second (dedicated) IP on my website speed up the time that it will load and display for the user? Or does that have nothing at all to do with IP, and is only a server issue? I'm sorry if this is still unclear. This is a real question though, I may just not be wording it well.

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  • .NET Runtime Optimization Service

    - by Velika
    I see that the Service ".NET Runtime Optimization Service v2.0.50727_X86" is disabled C:\WINDOWS\Microsoft.NET\Framework\v2.0.50727\mscorsvw.exe I guess I probably did that, not sure. Do I need it/Should it be running?

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  • An extended Bezier Library or Algorithms of bezier operations

    - by Sorush Rabiee
    Hi, Is there a library of data structures and operations for quadratic bezier curves? I need to implement: bezier to bitmap converting with arbitrary quality optimizing bezier curves common operations like subtraction, extraction, rendering etc. languages: c,c++,.net,python Algorithms without implementation (pseudocode or etc) could be useful too. (especially optimization)

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  • How to convert closed bezier curves to Bitmaps?

    - by Sorush Rabiee
    I need an algorithm to convert a closed bezier curve (perhaps self-crossing) to a binary bitmap: 0 for inside pixels and 1 for outside. I'm writing a code that needs to implement some operations on bezier curves, could anybody give me some resources or tutorials about beziere? Wikipedia and others didn't say anything about optimization, subtracting, union, knot insertion and deletion and other operations :-)

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  • Comparison of algorithmic approaches to the N queens problem

    - by iceman
    I wanted to evaluate performance comparisons for various approaches to solving the N queens problem. Mainly AI metaheuristics based algorithms like simulated annealing, tabu search and genetic algorithm etc compared to exact methods(like backtracking). Is there any code available for study? A lot of real-world optimization problems like it consider cooperative schemes between exact methods and metaheuristics.

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  • Travelling Salesman Problem Constraint Representation

    - by alex25
    Hey! I read a couple of articles and sample code about how to solve TSP with Genetic Algorithms and Ant Colony Optimization etc. But everything I found didn't include time (window) constraints, eg. "I have to be at customer x before 12am)" and assumed symmetry. Can somebody point me into the direction of some sample code or articles that explain how I can add constraints to TSP and how I can represent those in code. Thanks!

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  • faster strlen ?

    - by Jack
    Typical strlen() traverse from first character till it finds \0. This requires you to traverse each and every character. In algorithm sense, its O(N). Is there any faster way to do this where input is vaguely defined. Like: length would be less than 50, or length would be around 200 characters. I thought of lookup blocks and all but didn't get any optimization.

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  • How are PID's generated?

    - by Helltone
    On *nix, PIDs are unique identifiers for running processes. How are PID's generated? Is it just an integer which gets incremented or a more complex structure such as a list? How do they get recycled? By recycling I mean that, when a process terminates, it's PID will eventually be reused by another process.

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  • PostgreSQL 8.4 - Tablespace Optimization

    - by FloE
    I'm currently running a PostgreSQL Database with about 1.5 billion rows / 500 GB of data (including indices). There are several schemata: on for the (read only, irregular changes / updates) 'core-model' and one for every user (about 20 persons). The users can access the core and store data in their own schema, so everything is located in one database. The server runs with CentOS and PostgreSQL 8.4 and is used for scientific studies, exploration etc and is running quite well. These days an upgrade of the DB storage hard disks arrive - all with the same performance as the old ones. I'm looking for the best way to distribute the data on these disks. It would be possible to separate frequently used objects (the core-data) from the user schemata, but I'm not sure if this is really worth the effort. It seems to be a much better idea to move the WAL files (pg_xlog directory) to its own partition. http://www.postgresql.org/docs/8.4/static/wal-internals.html What are your opinions? Are there any tablespace- or partitioning-related performance documentations / benchmarks?

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  • proxy.pac file performance optimization

    - by Tuinslak
    I reroute certain websites through a proxy with a proxy.pac file. It basically looks like this: if (shExpMatch(host, "www.youtube.com")) { return "PROXY proxy.domain.tld:8080; DIRECT" } if (shExpMatch(host, "youtube.com")) { return "PROXY proxy.domain.tld:8080; DIRECT" } At the moment about 125 sites are rerouted using this method. However, I plan on adding quite a few more domains to it, and I'm guessing it will eventually be a list of 500-1000 domains. It's important to not reroute all traffic through the proxy. What's the best way to keep this file optimized, performance-wise ? Thanks

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  • Using optimization to assign by preference

    - by Aarthi
    I have 100 objects ("candies") that I need to distribute between five people so that each has an equal number of candies (in this case, 20 candies per person). However, each person has also expressed their preferences of candy to me in a chart, similar to below. Top-favored candies receive 10 points, least-favored candies receive -10 points, and neutral-favored candies receive 0.5 points. I need to sort the items out so that: Each person receives the same number of candies Each person's total "satisfaction" (points) is maximized My output is a list of each person's assigned items I'm familiar with Excel's in-house Monte Carlo simulation tools (Solver, F9 diceroll, etc) and would like to stick to those tools. While I know how to set up the chart, and how to use the column summation to input into Solver, I don't know how to get it to give me the desired output. Furthermore, how do I adjust the solver so it takes into account individual preferences rather than empirical ones? To wit: how do I begin setting up this model?

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  • A star vs internet routing pathfinding

    - by alan2here
    In many respects pathfinding algorythms like A star for finding the shortest route though graphs are similar to the pathfinding on the internet when routing trafic. However the pathfinding routers perform seem to have remarkable properties. As I understand it: It's very perfromant. New nodes can be added at any time that use a free address from a finite (not tree like) address space. It's real routing, like A*, theres never any doubling back for example. IP addresses don't have to be geographicly nearby. The network reacts quickly to changes to the networks shape, for example if a line is down. Routers share information and it takes time for new IP's to be registered everywhere, but presumably every router dosn't have to store a list of all the addresses each of it's directions leads most directly to. I can't find this information elsewhere however I don't know where to look or what search tearms to use. I'm looking for a basic, general, high level description to the algorithms workings, from the point of view of an individual router.

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  • Debian x86_64 + Nginx + PHP5-FPM optimization

    - by Olal'a
    I used to have a VPS (512MB) from Linode and I was running nginx + php5-fpm (which comes with php5.3.3) on Debian Lenny (i686). The total memory usage was about 90-100MB. Now I have another VPS (different hosting company) and I also run nginx + php5-fpm on Debian Lenny (x86_64). The system is 64-bit, so the memory usage is higher now, about 210-230MB, which I think is too much. Here is my php5-fpm.conf: pm = dynamic pm.max_children = 5 pm.start_servers = 2 pm.min_spare_servers = 2 pm.max_spare_servers = 5 pm.max_requests = 300 That's what top command tells me: top - 15:36:58 up 3 days, 16:05, 1 user, load average: 0.00, 0.00, 0.00 Tasks: 209 total, 1 running, 208 sleeping, 0 stopped, 0 zombie Cpu(s): 0.0%us, 0.0%sy, 0.0%ni, 99.9%id, 0.1%wa, 0.0%hi, 0.0%si, 0.0%st Mem: 532288k total, 469628k used, 62660k free, 28760k buffers Swap: 1048568k total, 408k used, 1048160k free, 210060k cached PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND 22806 www-data 20 0 178m 67m 31m S 1 13.1 0:05.02 php5-fpm 8980 mysql 20 0 241m 55m 7384 S 0 10.6 2:42.42 mysqld 22807 www-data 20 0 162m 43m 22m S 0 8.3 0:04.84 php5-fpm 22808 www-data 20 0 160m 41m 23m S 0 8.0 0:04.68 php5-fpm 25102 www-data 20 0 151m 30m 21m S 0 5.9 0:00.80 php5-fpm 10849 root 20 0 44100 8352 1808 S 0 1.6 0:03.16 munin-node 22805 root 20 0 145m 4712 1472 S 0 0.9 0:00.16 php5-fpm 21859 root 20 0 66168 3248 2540 S 1 0.6 0:00.02 sshd 21863 root 20 0 66028 3188 2548 S 0 0.6 0:00.06 sshd 3956 www-data 20 0 31756 3052 928 S 0 0.6 0:06.42 nginx 3954 www-data 20 0 31712 3036 928 S 0 0.6 0:06.74 nginx 3951 www-data 20 0 31712 3008 928 S 0 0.6 0:06.42 nginx 3957 www-data 20 0 31688 2992 928 S 0 0.6 0:06.56 nginx 3950 www-data 20 0 31676 2980 928 S 0 0.6 0:06.72 nginx 3955 www-data 20 0 31552 2896 928 S 0 0.5 0:06.56 nginx 3953 www-data 20 0 31552 2888 928 S 0 0.5 0:06.42 nginx 3952 www-data 20 0 31544 2880 928 S 0 0.5 0:06.60 nginx So, the question is there any way to use less memory? Btw, I have 16 cores and it would be nice to make use of them...

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