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Words: | Submitted: Mon Aug 18 2008
... than 1 and b, the game can be played with a set of numbers between any 2 points with the same strategy; for example: Players may choose any number between 3 and 7, and the player who makes the running total 43 wins. Let m = 43, a= 3 and b= 7 S = 43 - ((3+7).INT[m/(a+b)]) S = 43 - (10*INT[43/10]) S = 3 We play first, and begin on 3. After our opponent plays we make our turn bring the running total to the next of our target points (in steps of 10); 3, 13, 23, 33, 43. Our strategy could also be used in a game with a uniform limited use of all the numbers a to b (assuming you can still reach you target number without running out of numbers); as effectively you pair the numbers up, and your opponent would run out of the opposite of the pair at the same time ...
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