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Are you looking desperately for a puzzle solution? No panic, mail us your question and we'll try to solve your puzzle problem! That frustrates me immensely! Are there some winning algorithms you can apply to win at this game? Thanks for your kind help! The traditional Nim-game aka Marienbad-game consists of four rows of 1, 3, 5 and 7 matchsticks or any other objects.

Two players take any number of matchsticks from one row alternately. The one, who takes the last matchstick loses. The winning strategy is: Count the matchsticks in each row And convert them mentally in multiples of 4, 2 and 1.

Then, CANCEL pairs of equal multiples, and add what is left. You have then an EVEN number of multiples, the remainder after dividing this number 8 by 2 gives 0.

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Your opponent moves and leaves you the following configuration: Get rid of ONE 2by taking 2 matchsticks philip morris international stock exchange the 2nd row. That leaves your opponent at 1, 1, 5, 5 which is, for him, a losing configuration You can print the table and use it as a binary vector strategy sheet Final considerations As hdfc forex plus chip card statement can see, the starting configuration 1, 3, 5, 7 is a losing one for the player who starts the game.

In conclusion, it is ALWAYS disadvantageous to start the game first! Behind the challenge You have learned that the key to win at Nim-game is the binary digital sum Nim sum.

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This operation is also known as 'exclusive or' xor addition. To 'xor' or 'Nim-add' several numbers, just type into your calculator the first number then press the XOR button and type the following number to 'Nim-add', and so on When you have entered all the numbers, press the equal sign, as follows: How does a XOR logic operator work?

XOR logic operator in the graphic design world Graphic designers who work with vector-based softwares use a pathfinder feature, similar to the XOR operator, to get rid of everything is overlapped. For example, when 2 shapes are overlapped as shown in fig.

All the Most Wanted Puzzle Solutions in a look! This page uses JavaScript.

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Please enable it or upgrade your browser. All the Most wanted puzzle solutions in a look. Most Wanted Puzzle Solutions. How to win at the Nim game.

Nim-game or Marienbad-gameaka tactix Material: Matchsticks or any other counters. Aim of the game: The player who takes the last counter loses.

The second player can always win, that makes Nim a distinctly 'impartial game'. Total of UNPAIRED multiples. Total of unpaired multiples. Play now at Nim game against your computer!

Game involving counting skills! Buy the book 'Creating Nim games' here. You cannot reproduce any part of this page without prior written permission. Rate it on StumbleUpon.