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I used this sources to creat avery simple game based on the following fact: given 3 positive intergers (a,b,c) we define two an opertion () by choosing two numbers {x,y}where x<=y among {a,b,c} and replace x by 2x and y by y-x Fact : whatever the choice of three positive integers we can always perform a succession of opertions of type () to obtain (0,,*)
here is a screen shot of the game:
