## Lexicographic Order Algorithms

### Algorithms, software, source code calculate lexicographic order of combinations.

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## Lexicographic Order Algorithms 1.0

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OS Support: WinXP, WinVista, WinVista x64, Win7 x32, Win7 x64, Win2000, WinServer, Win98, WinOther

Supported Languages

Version 1.0

Size 0.02Mb

Hits: 0 visitors

Downloads: 40

License: Freeware

Date added: 20 Nov 2016

Last Update: 05 Nov 2012

**See full specifications****Publisher's description**

Algorithms, software,

__source__

__code__calculate

__lexicographic__

__order__of combinations; compiled

__program__and source code are included. The source code uses two

__algorithms__to find the index or rank for a combination; or find combination for given rank.

The first algorithm was discovered by B. P. Buckles and M. Lybanon (1977). The second algorithm was created by Ion Saliu (2001). The source code is in the Power

__Basic__Console Compiler programming

__language__

Both lexicographical algorithms are very fast; the calculations are almost instantaneous. The algorithms can be expanded to cover even more complex sets, such as Powerball/Euromillions types of lottery games.

Writing

__software__to automatically calculate the lexicographical order or rank for a combination - and vice versa - is extremely attractive to a large number of computer programmers and scientists. This is the first successful attempt to write software that does the precise calculations for both situations. This computer programmer expanded his knowledge from the combination sets to all four numerical sets: Exponents, permutations, arrangements (and combinations, of course).

Included is also a fast and accurate function to calculate combinations of N numbers taken M at a time (e.g. combinations for a 6-49 lotto game).

It works best at the command prompt for best speed; all 32/64 bit versions of Windows supported. http://saliu.com/membership.html http://saliu.com/lexicographic.html . Absolutely the best on lexicographical order, lexicographic, combinatorics, formula, formulas, algorithms, mathematics, software, program, source code, Basic language.

**Changes on the new version:**

The software is accompanied by a text tutorial.

**Available Translations:**None