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Experiments with Fibonacci series
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The Chocolate division and Nim Strategy Game
Challenge 1: 15 piece chocolate
In this 2 player game, we have a 15 piece chocolate bar.
– In their turn, a player can break the bar along any of the lines into 2 pieces.
– The next player then breaks any of the pieces further.
– This goes on until a player cannot break a piece into further smaller pieces.
– The player unable to make a move loses the game.
What’s the winning strategy? Should you take the 1st turn or the 2nd turn? Why?