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• Rubik's cube array rotation

  - by Ace

  I'm about to make a 3D Rubik's cube based game in Flash AS3 and Away3d. I don't really know how to manage the 2D arrays of the Rubik's cube. For example, how do I rotate the corresponding arrays if I rotate a side, or just rotate a middle part? In this stage I also don't know how to rotate those smaller cube parts all together if a side is rotating. First I was thinking of "groups" ( like in sketchup or 3ds max, blender), but that would be tricky, because the group components would change every time. So I was thinking of just rotating each individual piece along a global axis. However, I just know the Away3d functions to rotate the cube of his local X , Y or Z axis, but how to rotate in global axis? Does anyone know of a algorithm for doing these types of rotations?

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• Breakout clone, how to handle/design for collision detection/physics between objects?

  - by Zolomon

  I'm working on a breakout clone, and I wish to create some realistic physics effects for collision - angles on the paddle should allow the ball to bounce, as well as doing curve balls etc. I could use per-pixel based collision detection, but then I thought it might be easier with line/circle intersection testing. So, then I naturally consider making a polygon class for the line-based objects and use the built-in circle class for the circular objects. That sounds like an OK approach, right? And then just check for collision using the specified algorithm based on the objects that might be within each other's range?

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• Circular motion on low powered hardware

  - by Akroy

  I was thinking about platforms and enemies moving in circles in old 2D games, and I was wondering how that was done. I understand parametric equations, and it's trivial to use sin and cos to do it, but could an NES or SNES make real time trig calls? I admit heavy ignorance, but I thought those were expensive operations. Is there some clever way to calculate that motion more cheaply? I've been working on deriving an algorithm from trig sum identities that would only use precalculated trig, but that seems convoluted.

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• Monkey Hunter algorithm - Interview question [closed]

  - by Estefany Velez

  Question asked in an Interview: You are a hunter in the forest. A monkey is in the trees, but you don't know where and you can't see it. You can shoot at the trees, you have unlimited ammunition. Immediately after you shoot at a tree, if the monkey was in the tree, he falls and you win. If the monkey was not in the tree, he jumps (randomly) to an adjacent tree (he has to). Find an algorithm to get the monkey in the fewest shots possible. SOLUTION: The correct answer according to me was in the comments, credit to @rtperson: You could eliminate this possibility by shooting each tree twice as you sweep left, giving you a worst case of O(2n). EDIT: ...that is, a worst case of O(2n-1). You don't need to shoot the last tree twice.

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• Chambers In A Castle Algorithm

  - by 7Aces

  Problem Statement - Given a NxM grid of 1s & 0s (1s mark walls, while 0s indicate empty chambers), the task is to identify the number of chambers & the size of the largest. And just to whet my curiosity, to find in which chamber, a cell belongs. It seems like an ad hoc problem, since the regular algorithms just don't fit in. I just can't get the logic for writing an algorithm for the problem. If you get it, pseudo-code would be of great help! Note - I have tried the regular grid search algorithms, but they don't suffice the problem requirements. Source - INOI Q Paper 2003

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• Date calculation algorithm

  - by Julian Cuevas

  I'm working on a project to schedule a machine shop, basically I've got everything covered BUT date calculations, I've got a method called schedule (working on PHP here): public function schedule($start_date, $duration_in_minutes) Now my problem is, currently I'm calculating end time manually because time calculations have the following rules: During weekdays, work with business hours (7:00 AM to 5:00 PM) Work on Saturdays from 7:00 AM to 2:00 PM Ignore holidays (in Colombia we have A LOT of holidays) I already have a lookup table for holidays, I also have a Java version of this algorithm that I wrote for a previous version of the project, but that one's also manual. Is there any way to calculate an end time from a start time given duration?, my problem is that I have to consider the above rules, I'm looking for a (maybe?) math based solution, however I currently don't have the mind to devise such a solution myself. I'll be happy to provide code samples if necessary.

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• Algorithm for creating spheres?

  - by Dan the Man

  Does anyone have an algorithm for creating a sphere proceduraly with la amount of latitude lines, lo amount of longitude lines, and a radius of r? I need it to work with Unity, so the vertex positions need to be defined and then, the triangles defined via indexes (more info). EDIT I managed to get the code working in unity. But I think I might have done something wrong. When I turn up the detailLevel, All it does is add more vertices and polygons without moving them around. Did I forget something?

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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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• Permission Management Algorithm

  - by Emerald214

  I have 3 levels of permission to see the product: Brand - Allow/Deny Category - Allow/Deny Product - Allow/Deny For example, product A has: Category: Allow Product: Deny = product A cannot be seen because product A isn't allowed in Product level. if(allowForCategory == true) { if(allowForProduct == false) return false; if(allowForProduct == true) return true; } else { ... } This is not a good choice because it will become more complex if we add brand level. if() { if() { if() {} } } So is there any general algorithm to deal with the permission problem just like 777 solution in Linux?

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• Drawing an outline around an arbitrary group of hexagons

  - by Perky

  Is there an algorithm for drawing an outline around around an arbitrary group of hexagons? The polygon outline drawn may be concave. See the images below, the green line is what I am trying to achieve. The hexagons are stored as vertices and drawn as polygons. Edit: I've uploaded images that should explain more. I want to favour convex hulls because it's conveys an area of control more quickly. Each hexagon is stored in a multidimensional array so they all have x and y coordinates, I can easily find adjacent hexagons and the opposite vertex, i.e. adjacentHexagon = getAdjacentHexagon( someHexagon, NORTHWEST ) if there isn't a hexagon immediately adjacent it will continue to search in that direction until it finds one or hits the map edges.

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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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• 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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• 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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• 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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