# Subtraction Game

In the Subtraction Game you are given a number of *minuends* and a number of *subtrahends*. Players take turns subtracting subtrahends from minuends - one subtraction at a time. Only non negative results are legal. The player unable to move loses. A horizontal line separates minuends (placed above the line in a rectangular array) from subtrahends (always located in a row below the line).

To perform a move, select a minuend and then click on a subtrahends.

The game has three parameters. *#Nums* is the number (from 1 through 12) of minuends to subtract from. *#Subs* is the number (from 1 through 8) of possible subtrahends to be subtracted from minuends. *Max* is the absolute maximum of minuends. Subtrahends may change between 1 and 9 (inclusive). They may be modified when the *Define* button is checked.

The numbers that could be modified (*#Nums*, *#Subs*, *Max* and subtrahends) are modifed by clicking a little off their vertical central line. Clicking on the right from the line increases the number, clicking on the left decreases it.

When subtrahends form a sequence of consecutive numbers starting with one, the game is equivalent to Scoring. Since the players are free to define subtrahends to their liking, Subtraction Game is more general.

What if applet does not run? |

|Contact| |Front page| |Contents| |Algebra|

Copyright © 1996-2018 Alexander Bogomolny

64995758 |