Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example 1 2 3 4 secret: red-green red green guess: red blue green purple
Mastermind is a code-breaking game for two players.
In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example
1 2 3 4
secret: red-green red green
guess: red blue green purple
results in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess. Note that one "green" in the guess matches only one of the two "greens" in the secret code.
There are versions of mastermind with more or fewer positions than four, and more or fewer colors than six. Instead of colors use numbers in your code; ie the codes should be stored in N-element arrays of integers in the range from 1 to M.
The task: Write code that implements mastermind with N positions and M colors (encoded by numbers from 1 to M). N and M should be parameters of the code; the code should work for any positive choice of N and M (up to a maximum value of M=9). The code should take the role of player A in the description above, such that the user has to guess a secret code (role B); ask the user for N and M at the beginning, and then enter the main loop that iteratively starts new games until the user indicates an exit-condition (the code may ask the user if he wants to play again).
In a game, the computer generates a random secret according to the chosen values of N and M, and then iteratively asks the user for guesses. A guess would be evaluated and the results printed, i.e., the number of correct positions "black", and the number of additional correct 'colors' "white". The program would recognize if the secret code has been correctly identified, print a message, and start again.
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