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• Constrained/penalized distance function

  - by sigma.z.1980

  Assume a character is located on a n by n grid and has to reach a certain entry on that grid. Its current position is (x1,y1). Also on the same grid is an enemy with coordinates (x2,y2). Each step algorithm randomly generates new candidate locations for the hero (if there are k candidates then there is a kx2 matrix of new potential locations. What I need is some distance objective function to compare the candidates. I'm currently using d1 - c * d2, where d1 is distance to the objective (measure in terms of number of pixels for each axis), d2 is distance to the enemy and c is some coefficient (this is very much like a set-up for Lagrangian). It's not working very well though. I'd be quite keen to learn how what constrained distance function are used for similar cases. Any suggestions are very much appreciated.

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• Can this word search algorithm be made faster?

  - by Ashwin Singh

  Problem: Find a match of word S in text T Given: S and T are part of spoken and written English. Example: Match 'Math' in 'I love Mathematics' NOTE: Ignore CASES. My algorithm: STEP 1) Convert S, T to char[] STEP 2) for i=0, i < T.length , i++ STEP 3) for j=S.length-1, j>0 , j-- STEP 3 is the magic, instead of going about matching M,A,T,H, this matches M, H, T and finally A. This helps in eliminating a lot of possible partial matches. For example, if I go sequentially like M A as in Boyer Moore's method ... it can match Matter, Mass, Matchstick etc. using M _ _ H will bring down size of partial matches. STEP 4) if S[j]!=T[i] -> break; else if j==i -> PRINT MATCH

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• Algorithm to match items be value into sets base on total

  - by Ben

  Given n sets of items. Each item has a value. The items in a set have similar values but vary by a small amount. The goal is to create new sets containing three items selected from the original sets such that the total of the values is within a given range. Only one item a source set can be selected. For example: If we have the following starting sets: Set A - { 4.0, 3.8, 4.2 } Set B - { 7.0, 6.8, 7.2 } Set C - { 1.0, 0.9, 1.1 } Set D - { 6.5, 6.4, 6.6 } Set E - { 2.5, 2.4, 2.6 } Goal is to create sets containing three elements such that the total is between 11.9 and 12.1. For example { 3.8, 7.2, 1.0 } There can be unused elements. Can someone suggest an algorithm for this problem?

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• Given a start and end point, how can I constrain the end point so the resulting line segment is horizontal, vertical, or 45 degrees?

  - by GloryFish

  I have a grid of letters. The player clicks on a letter and drags out a selection. Using Bresenham's Algorithm I can create a line of highlighted letters representing the player's selection. However, what I really want is to have the line segment be constrained to 45 degree angles (as is common for crossword-style games). So, given a start point and an end point, how can I find the line that passes through the start point and is closest to the end point? Bonus: To make things super sweet I'd like to get a list of points in the grid that the line passes through, and for super MEGA bonus points, I'd like to get them in order of selection (i.e. from start point to end point).

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• Algorithm for perfect non-binary graph layout

  - by mariki

  I have a complex non-binary graph model. Each tree node can have multiple children&parents (a node can also have a connection to it's "brother"). A node is represented as square on screen with lines to the connected nodes. For that I want to use Draw2D and GEF libraries. The problem I am facing is the graph layout. I need a nice algorithm that can reposition the square nodes and the connections with minimum intersections and also make it symmetric as possible.

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• Reversi/Othello early-game evaluation function

  - by Vladislav Il'ushin

  I've written my own Reversi player, based on the MiniMax algorithm, with Alpha-Beta pruning, but in the first 10 moves my evaluation function is too slow. I need a good early-game evaluation function. I'm trying to do it with this matrix (corresponding to the board) which determines how favourable that square is to have: { 30, -25, 10, 5, 5, 10, -25, 30,}, {-25, -25, 1, 1, 1, 1, -25, -25,}, { 10, 1, 5, 2, 2, 5, 1, 10,}, { 5, 1, 2, 1, 1, 2, 1, 5,}, { 5, 1, 2, 1, 1, 2, 1, 5,}, { 10, 1, 5, 2, 2, 5, 1, 10,}, {-25, -25, 1, 1, 1, 1, -25, -25,}, { 30, -25, 10, 5, 5, 10, -25, 30,},}; But it doesn't work well. Have you even written an early-game evaluation function for Reversi?

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• Repairing back-facing triangles without user input

  - by LTR

  My 3D application works with user-imported 3D models. Frequently, those models have a few vertices facing into the wrong direction. (For example, there is a 3D roof and a few triangles of that roof are facing inside the building). I want to repair those automatically. We can make several assumptions about these 3D models: they are completely closed without holes, and the camera is always on the outside. My idea: Shoot 500 rays from every triangle outwards into all directions. From the back side of the triangle, all rays will hit another part of the model. From the front side, at least one ray will hit nothing. Is there a better algorithm? Are there any papers about something like this?

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• How to avoid or minimise use of check/conditional statement in my scenario?

  - by Muneeb Nasir

  I have scenario, where I got stream and I need to check for some value. If I got any new value I have to store it in any of data structure. It seems very easy, I can place conditional statement if-else or can use contain method of set/map to check either received is new or not. But the problem is checking will effect my application performance, in stream I will receive hundreds for value in second, if I start checking each and every value I received then for sure it effect performance. Anybody can suggest me any mechanism or algorithm to solve my issue, either by bypassing checks or at least minimize them?

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• Efficient way to calculate "vision cones" on 2D tile map?

  - by OverMachoGrande

  I'm trying to calculate which tiles a particular unit can "see" if facing a certain direction on a tile map (within a certain range and angle of facing). The easiest way would be to draw a certain number of tiles outward and raycast to each tile. However, I'm hoping for something slightly more efficient. A picture says a thousand words: The red dot is the unit (who's facing upwards). My goal is to calculate the yellow tiles. The green blocks are walls (walls are between tiles, and it's easy to check if you can pass between two tiles). The blue line represents something like the "raycasting" method I was talking about, but I'd rather not have to do this. EDIT: Units can only be facing north/south/east/west (0, 90, 180, or 270 degrees) and FoV is always 90 degrees. Should simplify some calculations. I'm thinking there's some sort of recursive-ish/stack-based/queue-based algorithm, but I can't quite figure it out. Thanks!

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• Searching for fast skeletal animation algorithm

  - by igf

  Is it theoretically possible to dynamicaly animate scene with 100-150 400 poly characters meshes on high-end GL ES 2.0 mobile devices or i definetley should use prerendered keyframe animation? Scene have only one light source and precalculated shadow maps. View from top like in Warcraft 3. No any other meshes or objects. 2d collision detecting between objects calculated via spatial hashing. It can be any other algorithm besides ragdoll, but it must supply fast and simple skeletal animation for frame with 100+ low poly meshes for each mesh. Any ideas?

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• Algorithm development in jobs

  - by dbeacham

  I have a mathematics background but also consider career in some form of software development. In particular I'm interested in finding out what sort of industries are most likely to have more algorithm development/mathematical and logical problem solving slant rather than pure application development etc. Obviously, I'm assuming that some subset of the canonical data structures and associated algorithms (trees, lists, hash tables, sets, maps with search, insert, traversals etc.) are mostly going to be present in software development. However, where am I more likely to encounter problems of more discrete maths nature (combinatorial, graph theory, sets, strings, ...) explicitly or more likely in disguise. Any pointers much appreciated (including possible open source projects that I could use for my further search for applications and also possibly contribute to).

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• Need explanation on theorem form the book [closed]

  - by Pradeep

  I need some explanation on amortization analysis with respect to analysis of algorithm. I need some more explanation on one of the theorem attached. Explanation needed: 1. How did the author derive at Mij is O (ij-ij-1)? 2. Need explanation for quoted from the book " because at most ij-ij-1 -1 elements have been added into the table since the clear operation Mij-1 or since the beginning of the series." 3. Also what does the summation equation mean? need some more thorough explanation and the essence of the theorem. Removed Attached is the scan copy of the page from the Book

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• Fast lookup for organization hierarchy

  - by Élodie Petit

  I need a way to implement a fast lookup algorithm / system to find users very quickly in a multi-level department and multi-level employee/manager relation organization structure. Departments can have any level of departments and users directly connected to departments. User are connected to departments and other users at the same time. What would be the best approach to implement such a system? There will be approximately 2000 users and 30 departments. Is there a good way to hold all of this information on memory?

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• how to avoid or minimise use of check/conditional statement?

  - by Muneeb Nasir

  I have scenario, where i got stream and i need to check for some value. if i got my any new value i have to store it in any of data structure. well it seems very easy, i can place conditional statement if-else or can use contain method of set/map to check either received is new or not. but the problem is checking will effect my application performance, in stream i'll receive hundreds for value in second, if i start checking each and every value i received than for sure it effect performance. Any body can suggest me any mechanism or algorithm that solve my issue. either by bypassing checks or atleast minimize them?

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• How can I generate Sudoku puzzles?

  - by user223150

  I'm trying to make a Sudoku puzzle generator. It's a lot harder than I expected and the more I get into it, the harder it gets! My current approach is to split the problem into 2 steps: Generate a complete (solved) Sudoku puzzle. Remove numbers until it's solveable and has only 1 solution. In step 1, since I'm using a brute force methods, I'm facing some run time issues. Is there an optimal way of filling in a complete Sudoku puzzle? In step 2, what kind of algorithm should I use to "puzzlize" a solved sudoku?

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• Algorithm for Learning development

  - by user9057

  Hi all, This is a fairly general question. I know a bit of Perl and Python and I am looking to learn programming in more depth so that once I get the hang of it I can start developing applications and then websites. I would like to know of an algorithm (sequence of steps :)) that could describe my approach towards learning programming in general. I have posted small questions on Perl/Python and I have recieved great help from everyone. Note:- I am not in a hurry to learn. I know it takes time and that's fine. Please give any suggestions you think are valid. Also, please don't push me to learn Lisp, Haskell etc - I am a beginner.

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• Algorithm for Learning development

  - by user9057

  This is a fairly general question. I know a bit of Perl and Python and I am looking to learn programming in more depth so that once I get the hang of it I can start developing applications and then websites. I would like to know of an algorithm (sequence of steps :)) that could describe my approach towards learning programming in general. I have posted small questions on Perl/Python and I have recieved great help from everyone. Note:- I am not in a hurry to learn. I know it takes time and that's fine. Please give any suggestions you think are valid. Also, please don't push me to learn Lisp, Haskell etc - I am a beginner.

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• Algorithm to Sort member into groups

  - by kasmanit

  I'll have to develop an application which the final purpose is to sort all the member into groups. Each group will have the same size. And I had to put the members into the groups several times during the execution of the program. To put the member into the groups, a lot of critria are to be look at, because we do not want that two people are put again together two time in the same execution of the program, of course if it's the only way to find a correct solution, it' fine, and there is a lot of other criteria, like some people can be willing to be always with another member. So to resume, we have n members to put in groups of size 8. After the first "round" we have to do again the algorithm to sort them differently. And a lot of critria may go in the calculation of the priority of each member Do you have any idea?

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• Introduction to the SQL Server Analysis Services Neural Network Data Mining Algorithm

  In data mining and machine learning circles, the neural network is one of the most difficult algorithms to explain. Fortunately, SQL Server Analysis Services allows for a simple implementation of the algorithm for data analytics. Dallas Snider explains 24% of devs don’t use database source control – make sure you aren’t one of themVersion control is standard for application code, but databases haven’t caught up. So what steps can you take to put your SQL databases under version control? Why should you start doing it? Read more to find out…

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• background animation algorithm for single screen

  - by becool_max

  I’m writing simple strategy game (in xna), and would like to have an animated background. In my game all the actions happens inside one screen and thus standard parallax effect does not look appropriate. However, I found a video of a game with suitable background animation for my game http://www.youtube.com/watch?v=Vcxdbjulf90&feature=share&list=PLEEF9ABAB913946E6 (from 3 to 6s, while main character stays at the same place). What is the algorithm to do this stuff? It would be nice if someone can provide a reference for a similar example (language is not important).

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• Having a list of rooms with theirs connection to each other, how do I find isolated room groups?

  - by petervaz

  I'm trying to create a small roguelike and went as far as random generating rooms and corridors. Each room is an instanced object and contain an arraylist of the others rooms connected by a corridor. I can single out unconnected rooms but how can I know the rooms that are connected only to each other but not to most of the others, forming an island? to illustrated better the problem here is an image from the console on a bogged level. Rooms 5 and 6 are connected only to each other. What algorithm can I use to detect that?

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• Detect rotated rectangle collision

  - by handyface

  I'm trying to implement a script that detects whether two rotated rectangles collide for my game. I used the method explained in the following article for my implementation in Google Dart. 2D Rotated Rectangle Collision I tried to implement this code into my game. Basically from what I understood was that I have two rectangles, these two rectangles can produce four axis (two per rectangle) by subtracting adjacent corner coordinates. Then all the corners from both rectangles need to be projected onto each axis, then multiplying the coordinates of the projection by the axis coordinates (point.x*axis.x+point.y*axis.y) to make a scalar value and checking whether the range of both the rectangle's projections overlap. When all the axis have overlapping projections, there's a collision. First of all, I'm wondering whether my comprehension about this algorithm is correct. If so I'd like to get some pointers in where my implementation (written in Dart, which is very readable for people comfortable with C-syntax) goes wrong. Thanks!

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• Efficient algorithm to find a the set of numbers in a range

  - by user133020

  If I have an array of sorted numbers and every object is one of the numbers or multiplication. For example if the sorted array is [1, 2, 7] then the set is {1, 2, 7, 1*2, 1*7, 2*7, 1*2*7}. As you can see if there's n numbers in the sorted array, the size of the set is 2n-1. My question is how can I find for a given sorted array of n numbers all the objects in the set so that the objects is in a given interval. For example if the sorted array is [1, 2, 3 ... 19, 20] what is the most efficient algorithm to find the objects that are larger than 1000 and less than 2500 (without calculating all the 2n-1 objects)?

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• How do I convert a partially transparent image into polygons?

  - by user82779

  I'm using GLEE2D, a level editor allowing me to import images, scale them, rotate them, and position them onto layers and export the data into XML format. However, it does not tell me objects' boundaries. I can calculate them, but only given the original image's polygons. How do I get polygons of objects in a transparent image? An example object (I outlined it): How would I turn the object, knowing the scaled size of the image, into polygons? Is there an algorithm for this? I'll use OpenGL to draw them.

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• Recursive N-way merge/diff algorithm for directory trees?

  - by BobMcGee

  What algorithms or Java libraries are available to do N-way, recursive diff/merge of directories? I need to be able to generate a list of folder trees that have many identical files, and have subdirectories with many similar files. I want to be able to use 2-way merge operations to quickly remove as much redundancy as possible. Goals: Find pairs of directories that have many similar files between them. Generate short list of directory pairs that can be synchronized with 2-way merge to eliminate duplicates Should operate recursively (there may be nested duplicates of higher-level directories) Run time and storage should be O(n log n) in numbers of directories and files Should be able to use an embedded DB or page to disk for processing more files than fit in memory (100,000+). Optional: generate an ancestry and change-set between folders Optional: sort the merge operations by how many duplicates they can elliminate I know how to use hashes to find duplicate files in roughly O(n) space, but I'm at a loss for how to go from this to finding partially overlapping sets between folders and their children. EDIT: some clarification The tricky part is the difference between "exact same" contents (otherwise hashing file hashes would work) and "similar" (which will not). Basically, I want to feed this algorithm at a set of directories and have it return a set of 2-way merge operations I can perform in order to reduce duplicates as much as possible with as few conflicts possible. It's effectively constructing an ancestry tree showing which folders are derived from each other. The end goal is to let me incorporate a bunch of different folders into one common tree. For example, I may have a folder holding programming projects, and then copy some of its contents to another computer to work on it. Then I might back up and intermediate version to flash drive. Except I may have 8 or 10 different versions, with slightly different organizational structures or folder names. I need to be able to merge them one step at a time, so I can chose how to incorporate changes at each step of the way. This is actually more or less what I intend to do with my utility (bring together a bunch of scattered backups from different points in time). I figure if I can do it right I may as well release it as a small open source util. I think the same tricks might be useful for comparing XML trees though.

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