Tool/Solver to solve Mastermind automatically. Mastermind is a board game based on deduction, created by Mordecai Meirovitz. This board game proposes to the player to find a combination of colours in a minimum of tentatives, receiving at each attempt, a global informatino about correct or incorrect colors and positions.

Mastermind Solver - dCode

Tag(s) : Board Game

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Tool/Solver to solve Mastermind automatically. Mastermind is a board game based on deduction, created by Mordecai Meirovitz. This board game proposes to the player to find a combination of colours in a minimum of tentatives, receiving at each attempt, a global informatino about correct or incorrect colors and positions.

The Mastermind solver is customizable in size (number of pegs/slots in the code) and in size (number of available colours).

In its original verison, a mastermind has generally 4 pegs among 6 colours

The solver uses a simple syntax to describe combinations propositions and to deduce the possible solutions: N letters followed by 1 or 2 digits. N is the number of boxes and each letter represents a color, the numbers indicate the clues obtained (number of boxes correctly or badly placed).

Each combination proposed is written on a new line.

Example: Combination RGBY 2 0 correspond to a proposal with in position 1 : R for Red, in position 2 : G for Green, in position 3 : B for Blue and in position 4 : Y for Yellow

Initial letter of the color can be used (beware of doubles : Black and Blue for example)

Digits 2 and 0 correspond respectively to 2 pegs in the correct position and 0 in wrong position. (Be careful to indicate this with the right number)

It is also possible to indicate jokers (empty cells or unknown indicated by ?,*,- or _) as for the combination, than for right and wrong position.

Example: Black Black Yellow Red (1 in the right position, 2 in the wrong position) is written: BBYR12

Example: Red Green Blue (1 in the right position and ignore the wrongly placed) is written: 'RGB 1?' (? = joker)

According to Donald Knuth, and according to the original rules (combination of 4 colors among 6) it is possible to find the code in 5 steps (or less). The algorithm to use is:

1 - Generate the set E of the 1296 possible codes (from 1111 to 6666).

2 - Propose as first guess 1122

3 - If the answer is correct, the game is over. Otherwise, delete from the set E all the codes that would give the same answer.

4 - For each possible code that has not been attempted, calculate how many possibilities of the set E would be eliminated for each possible answer (combination well placed-misplaced). Give a score to this code equal to the minimum number of possibilities eliminated in E. Propose one of the codes with the best score as guess (preferably a code present in S). Resume in step 3.

This algorithm can find the code in 5 steps (or less).

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Source : https://www.dcode.fr/mastermind-solver

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