| Mastermind
is a board game with an interesting history (or rather a legend?).
Some game books report that it was invented in 1971 by Mordecai
Meirowitz, an Israeli postmaster and telecommunications expert.
After many rejections by leading toy companies, the rights were
obtained by a small British firm, Invicta Plastics Ltd. The firm
originally manufactured the game itself, though it has since licensed
its manufacture to Hasbro in most of the world. However, Mastermind
is just a clever readaptation of an old similar game called 'Bulls
and cows' in English, and 'Numerello' in Italian...
Actually, the old British game 'Bulls and cows' was somewhat
different from the commercial version. It was played on paper, not
on a board. Over 50 million copies later, Mastermind is still marketed
today!
The
idea of the game is for one player (the code-breaker) to guess the
secret code chosen by the other player (the code-maker). The code
is a sequence of 4 colored pegs chosen from six colors available.
The code-breaker makes a serie of pattern guesses - after each guess
the code-maker gives feedback in the form of 2 numbers, the number
of pegs that are of the right color and in the correct position,
and the number of pegs that are of the correct color but not in
the correct position - these numbers are usually represented by
small black and white pegs.
In
1977, the mathematician Donald Knuth demonstrated that the code-breaker
can solve the pattern in five moves or less, using an algorithm
that progressively reduced the number of possible patterns.
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