Best way to get the highest sum from a Matrix (using Java but algorithm is the issue here)

Posted by user294896 on Stack Overflow See other posts from Stack Overflow or by user294896
Published on 2010-05-11T09:10:38Z Indexed on 2010/05/11 9:14 UTC
Read the original article Hit count: 193

Filed under:

matrix

|

algorithm

|

java

Sorry I dont know the correct terminology to use but I have a 3x3 matrix like this

1 3 4

5 4 5
2 2 5

and I want get the highest score by picking a value from each row/column but I cant pick the same row or column more than once , so the answer in this case is

3 + 5 + 5 = 13 (row0,col1 + row1,col0 + row2,col2)

4 + 5 + 5 = 14 is not allowed because would have picked two values from col2

I'm using Java, and typically the matrix would be 15 by 15 in size.

Is there a name for what Im trying to do, and whats the algorithm

thanks Paul

© Stack Overflow or respective owner

Related posts about matrix

Find the "largest" dense sub matrix in a large sparse matrix

as seen on Stack Overflow - Search for 'Stack Overflow'
Given a large sparse matrix (say 10k+ by 1M+) I need to find a subset, not necessarily continuous, of the rows and columns that form a dense matrix (all non-zero elements). I want this sub matrix to be as large as possible (not the largest sum, but the largest number of elements) within some aspect… >>> More
How does a template class inherit another template class?

as seen on Stack Overflow - Search for 'Stack Overflow'
I have a "SquareMatrix" template class which inherits "Matrix" template class, like below: SquareMatrix.h: #ifndef SQUAREMATRIX_H #define SQUAREMATRIX_H #include "Matrix.h" template <class T> class SquareMatrix : public Matrix<T> { public: T GetDeterminant(); }; template… >>> More
iPhone OpenGL ES: How do I use gravity vector to correctly transform scene for augmented reality

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying figure out how to get an OpenGL specified object to be displayed correctly according to the device orientation (ie. according to the gravity vector from the accelerometer, and heading from compass). The GLGravity sample project has an example which is almost like this (despite ignoring… >>> More
How do I use the gravity vector to correctly transform scene for augmented reality?

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying figure out how to get an OpenGL specified object to be displayed correctly according to the device orientation (ie. according to the gravity vector from the accelerometer, and heading from compass). The GLGravity sample project has an example which is almost like this (despite ignoring… >>> More
C++ templates - matrix class

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi I'm learning templates in C++ so I decied to write matrix class which would be a template class. In Matrix.h file I wrote #pragma once #include "stdafx.h" #include <vector> using namespace std; template<class T> class Matrix { public: Matrix(); ~Matrix(); GetDataVector(); … >>> More

Related posts about algorithm

Jpeg Algorithm vs BMP Algorithm?

as seen on Super User - Search for 'Super User'
I'm just wonder, what the differences are between creating a BMP file algorithm and JPG file algorithm ? If you know the others images' format algorithm, please post them. Thanks. >>> More
word disambiguation algorithm (Lesk algorithm)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hii.. Can anybody help me to find an algorithm in Java code to find synonyms of a search word based on the context and I want to implement the algorithm with WordNet database. For example, "I am running a Java program". From the context, I want to find the synonyms for the word "running", but the… >>> More
Search algorithm (with a sort algorithm already implemented)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hello, Im doing a Java application and Im facing some doubts in which concerns performance. I have a PriorityQueue which guarantees me the element removed is the one with greater priority. That PriorityQueue has instances of class Event (which implements Comparable interface). Each Event is associated… >>> More
Is there any algorithm for finding LINES by PIXEL COLORS on picture?

as seen on Stack Overflow - Search for 'Stack Overflow'
So I have Image like this I want to get something like this (I hevent drawn all lines I want but I hope you can get my idea) I need algorithm for finding all straight lines on it by just reading colors of pixels. No hard math, no Haar, no Hough. Some algorithm which would be based on points… >>> More
collsion issues with quadtree [on hold]

as seen on Game Development - Search for 'Game Development'
So i implemented a Quad tree in Java for my 2D game and everything works fine except for when i run my collision detection algorithm, which checks if a object has hit another object and which side it hit.My problem is 80% of the time the collision algorithm works but sometimes the objects just go… >>> More