Latin Square !!!

Small utility for Latin Square Generation & Validation

A Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column. More about Latin Square can be found at

• https://en.wikipedia.org/wiki/Latin_square
• http://mathworld.wolfram.com/LatinSquare.html

Installation

This latinsquare package can be used to generate a Latin Square from an initial row of elements or just by giving size of the square.

To add to your project:

npm install --save latinsquare

Usage

To initiate object:

var latinSquare = require("latinsquare");

Create square from initial row of elements

var square1 = latinSquare.generate(['a', 'b', 'c', 'd', 'e']);

// ===> will return an 2D Array. Something like this:

a,b,c,e,d

d,a,b,c,e

b,d,e,a,c

c,e,a,d,b

e,c,d,b,a

Create square for specific size

var square2 = latinSquare.generate(4);

// ===> will return 4 X 4 lating square as 2D array with numbers 1,2,3,4. Something like this

2,1,4,3

4,2,3,1

3,4,1,2

1,3,2,4

Validation APIs

var latinSquare = require("latinsquare");

var square = latinSquare.generate(5);

latinsquare.validate(square);

latinsquare.isValidLatinSquare(square);

// ===>

validate(square) returns empty string if square is a valid Latin Square or else returns string with error message.

isValidLatinSquare(square) returns boolean true or false.