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Sunday, July 22, 2012

Divisor - Nim

Alice and Bob are back in gaming. This time it is with numbers. They take a jar containing all the numbers from 1 to n. The game goes on like this. Alice starts the game, she picks a number x from numbers in the jar. Then, she removes all the divisors of x (including x). Alice and Bob repeat the steps without replacement. The player to draw the last number wins. Who will win the game (in terms of n if it depends on n) ?

Courtesy : Vinod

2 comments:

Phani Deep said...
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pathankhan salman said...

Player needs to draw all the divisors of the number he decided "on the table". Say player decides to x = 10, and he doesn't have 1,5 on the table, it is ok if he draws only 2,10.