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An implementation of Knuth's five-guess algorithm to solve a mastermind code [CC0]
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from itertools import product | |
possible = [''.join(secret) for secret in product('ABCDEF', repeat=4)] | |
results = [(right, wrong) for right in range(5) for wrong in range(5 - right) if not (right == 3 and wrong == 1)] | |
def score(secret, guess): | |
first = len([speg for speg, gpeg in zip(secret, guess) if speg == gpeg]) | |
return first, sum([min(secret.count(j), guess.count(j)) for j in 'ABCDEF']) - first | |
def solve(secrets, attemptfun, first=False): | |
if first: | |
guess = 'AABB' | |
elif len(secrets) == 1: | |
guess = secrets.pop() | |
else: | |
guess = max(possible, key=lambda x: min(sum(1 for s in secrets if score(s, x) != res) for res in results)) | |
sc = attemptfun(guess) | |
if sc != (4, 0): | |
secrets -= set(s for s in secrets if score(s, guess) != sc) | |
solve(secrets, attemptfun) | |
if __name__ == '__main__': | |
import sys | |
secret = len(sys.argv) > 1 and sys.argv[1] or input("Please enter a code (four characters, A-F): ") | |
if len(secret) == 4 and not (set(secret) - set('ABCDEF')): | |
print("Solving...") | |
attemptCount = 0 | |
def attempt(guess): | |
global attemptCount | |
attemptCount += 1 | |
sc = score(secret, guess) | |
print(guess, '+'*sc[0] + '-'*sc[1]) | |
return sc | |
solve(set(possible), attempt, True) | |
print "It took " + str(attemptCount) + " attempts." | |
else: | |
print secret + " is not a well-formed mastermind code." |
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identical to the original, but "simplified" and with some longer variable names