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January 12, 2016 23:12
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a python brute force solution to https://www.behance.net/gallery/32501799/Puzzlebot
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class Constraint(object): | |
def __init__(self, guess, lights): | |
self.n = guess | |
self.l = lights | |
self.g = sum(1 if c is 'g' else 0 for c in lights) | |
self.r = sum(1 if c is 'r' else 0 for c in lights) | |
def consistent(self, m): | |
# given m as 'true', return true iff this constraint would have come about from m | |
in_place = [v[0]==v[1] for v in zip(m, self.n)] | |
# since in-place (green) has precedence, check it first and remove it from m and n | |
# (what's left is n_remain compared against m_remain) | |
n_remain = [v for (p,v) in zip(in_place, self.n) if not p] | |
m_remain = [v for (p,v) in zip(in_place, m) if not p] | |
# count number of out of place but correct numbers (i.e. caused red lights) | |
out_of_place = 0 | |
for i,v in enumerate(n_remain): | |
if v in m_remain: | |
out_of_place += 1 | |
m_remain[m_remain.index(v)] = -1 # must set to -1 so 00 cannot match twice to 01, e.g. | |
return sum(in_place) == self.g and out_of_place == self.r | |
if __name__ == '__main__': | |
import itertools | |
# init 'constraints' (previous guesses and the resulting lights) | |
guesses = [[2,5,4,9],[0,4,2,4],[3,8,1,6],[5,0,0,4]] | |
lights = ['g...', 'rrr.', '....', 'gr..'] | |
constraints = [Constraint(guesses[i], lights[i]) for i in range(len(guesses))] | |
# init list of all possible 4-digit tuples | |
all_m = itertools.product(*([range(10)]*len(guesses[0]))) | |
# filter down to only the tuples consistent with each constraint | |
for c in constraints: | |
filtered = [m for m in all_m if c.consistent(m)] | |
all_m = filtered | |
# print the result | |
print all_m |
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