Coins Puzzle
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A dealer has 1000 coins and 10 bags. He has to divide the coins over the ten bags so that he can make any number of coins simply by handing over a few bags.
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you die and the devil says he’ll let you go to heaven if you beat him in a game. the devil sits you down at a round table. he gives himself and you a huge pile of quarters. he says “ok, we’ll take turns putting quarters down, no overlapping allowed, and the quarters must rest on the table surface. the first guy who can’t put a quarter down loses.” you guys are about to start playing, and the devil says that he’ll go first. however, at this point you immediately interject, and ask if you can go first instead. you make this interjection because you are very smart, and you know that if you go first, you can guarantee victory. explain how you can guarantee victory.
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There are ‘n’ coins in a line. (Suppose n is even). Two players take turns to take a coin from one of the ends of the line until there are no more coins left. The player with the larger amount of money wins.
Assume that you go first, describe an algorithm to compute the maximum amount of money you can win.
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