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73
Task/Zebra-puzzle/Python/zebra-puzzle-1.py
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73
Task/Zebra-puzzle/Python/zebra-puzzle-1.py
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from logpy import *
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from logpy.core import lall
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import time
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def lefto(q, p, list):
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# give me q such that q is left of p in list
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# zip(list, list[1:]) gives a list of 2-tuples of neighboring combinations
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# which can then be pattern-matched against the query
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return membero((q,p), zip(list, list[1:]))
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def nexto(q, p, list):
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# give me q such that q is next to p in list
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# match lefto(q, p) OR lefto(p, q)
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# requirement of vector args instead of tuples doesn't seem to be documented
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return conde([lefto(q, p, list)], [lefto(p, q, list)])
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houses = var()
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zebraRules = lall(
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# there are 5 houses
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(eq, (var(), var(), var(), var(), var()), houses),
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# the Englishman's house is red
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(membero, ('Englishman', var(), var(), var(), 'red'), houses),
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# the Swede has a dog
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(membero, ('Swede', var(), var(), 'dog', var()), houses),
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# the Dane drinks tea
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(membero, ('Dane', var(), 'tea', var(), var()), houses),
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# the Green house is left of the White house
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(lefto, (var(), var(), var(), var(), 'green'),
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(var(), var(), var(), var(), 'white'), houses),
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# coffee is the drink of the green house
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(membero, (var(), var(), 'coffee', var(), 'green'), houses),
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# the Pall Mall smoker has birds
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(membero, (var(), 'Pall Mall', var(), 'birds', var()), houses),
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# the yellow house smokes Dunhills
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(membero, (var(), 'Dunhill', var(), var(), 'yellow'), houses),
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# the middle house drinks milk
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(eq, (var(), var(), (var(), var(), 'milk', var(), var()), var(), var()), houses),
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# the Norwegian is the first house
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(eq, (('Norwegian', var(), var(), var(), var()), var(), var(), var(), var()), houses),
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# the Blend smoker is in the house next to the house with cats
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(nexto, (var(), 'Blend', var(), var(), var()),
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(var(), var(), var(), 'cats', var()), houses),
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# the Dunhill smoker is next to the house where they have a horse
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(nexto, (var(), 'Dunhill', var(), var(), var()),
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(var(), var(), var(), 'horse', var()), houses),
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# the Blue Master smoker drinks beer
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(membero, (var(), 'Blue Master', 'beer', var(), var()), houses),
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# the German smokes Prince
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(membero, ('German', 'Prince', var(), var(), var()), houses),
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# the Norwegian is next to the blue house
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(nexto, ('Norwegian', var(), var(), var(), var()),
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(var(), var(), var(), var(), 'blue'), houses),
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# the house next to the Blend smoker drinks water
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(nexto, (var(), 'Blend', var(), var(), var()),
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(var(), var(), 'water', var(), var()), houses),
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# one of the houses has a zebra--but whose?
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(membero, (var(), var(), var(), 'zebra', var()), houses)
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)
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t0 = time.time()
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solutions = run(0, houses, zebraRules)
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t1 = time.time()
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dur = t1-t0
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count = len(solutions)
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zebraOwner = [house for house in solutions[0] if 'zebra' in house][0][0]
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print "%i solutions in %.2f seconds" % (count, dur)
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print "The %s is the owner of the zebra" % zebraOwner
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print "Here are all the houses:"
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for line in solutions[0]:
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print str(line)
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101
Task/Zebra-puzzle/Python/zebra-puzzle-2.py
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Task/Zebra-puzzle/Python/zebra-puzzle-2.py
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import psyco; psyco.full()
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class Content: elems= """Beer Coffee Milk Tea Water
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Danish English German Norwegian Swedish
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Blue Green Red White Yellow
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Blend BlueMaster Dunhill PallMall Prince
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Bird Cat Dog Horse Zebra""".split()
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class Test: elems= "Drink Person Color Smoke Pet".split()
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class House: elems= "One Two Three Four Five".split()
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for c in (Content, Test, House):
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c.values = range(len(c.elems))
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for i, e in enumerate(c.elems):
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exec "%s.%s = %d" % (c.__name__, e, i)
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def finalChecks(M):
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def diff(a, b, ca, cb):
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for h1 in House.values:
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for h2 in House.values:
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if M[ca][h1] == a and M[cb][h2] == b:
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return h1 - h2
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assert False
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return abs(diff(Content.Norwegian, Content.Blue,
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Test.Person, Test.Color)) == 1 and \
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diff(Content.Green, Content.White,
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Test.Color, Test.Color) == -1 and \
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abs(diff(Content.Horse, Content.Dunhill,
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Test.Pet, Test.Smoke)) == 1 and \
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abs(diff(Content.Water, Content.Blend,
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Test.Drink, Test.Smoke)) == 1 and \
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abs(diff(Content.Blend, Content.Cat,
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Test.Smoke, Test.Pet)) == 1
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def constrained(M, atest):
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if atest == Test.Drink:
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return M[Test.Drink][House.Three] == Content.Milk
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elif atest == Test.Person:
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for h in House.values:
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if ((M[Test.Person][h] == Content.Norwegian and
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h != House.One) or
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(M[Test.Person][h] == Content.Danish and
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M[Test.Drink][h] != Content.Tea)):
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return False
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return True
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elif atest == Test.Color:
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for h in House.values:
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if ((M[Test.Person][h] == Content.English and
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M[Test.Color][h] != Content.Red) or
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(M[Test.Drink][h] == Content.Coffee and
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M[Test.Color][h] != Content.Green)):
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return False
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return True
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elif atest == Test.Smoke:
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for h in House.values:
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if ((M[Test.Color][h] == Content.Yellow and
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M[Test.Smoke][h] != Content.Dunhill) or
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(M[Test.Smoke][h] == Content.BlueMaster and
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M[Test.Drink][h] != Content.Beer) or
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(M[Test.Person][h] == Content.German and
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M[Test.Smoke][h] != Content.Prince)):
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return False
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return True
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elif atest == Test.Pet:
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for h in House.values:
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if ((M[Test.Person][h] == Content.Swedish and
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M[Test.Pet][h] != Content.Dog) or
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(M[Test.Smoke][h] == Content.PallMall and
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M[Test.Pet][h] != Content.Bird)):
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return False
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return finalChecks(M)
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def show(M):
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for h in House.values:
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print "%5s:" % House.elems[h],
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for t in Test.values:
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print "%10s" % Content.elems[M[t][h]],
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print
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def solve(M, t, n):
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if n == 1 and constrained(M, t):
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if t < 4:
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solve(M, Test.values[t + 1], 5)
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else:
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show(M)
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return
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for i in xrange(n):
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solve(M, t, n - 1)
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M[t][0 if n % 2 else i], M[t][n - 1] = \
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M[t][n - 1], M[t][0 if n % 2 else i]
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def main():
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M = [[None] * len(Test.elems) for _ in xrange(len(House.elems))]
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for t in Test.values:
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for h in House.values:
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M[t][h] = Content.values[t * 5 + h]
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solve(M, Test.Drink, 5)
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main()
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51
Task/Zebra-puzzle/Python/zebra-puzzle-3.py
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51
Task/Zebra-puzzle/Python/zebra-puzzle-3.py
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@ -0,0 +1,51 @@
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from itertools import permutations
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class Number:elems= "One Two Three Four Five".split()
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class Color: elems= "Red Green Blue White Yellow".split()
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class Drink: elems= "Milk Coffee Water Beer Tea".split()
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class Smoke: elems= "PallMall Dunhill Blend BlueMaster Prince".split()
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class Pet: elems= "Dog Cat Zebra Horse Bird".split()
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class Nation:elems= "British Swedish Danish Norvegian German".split()
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for c in (Number, Color, Drink, Smoke, Pet, Nation):
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for i, e in enumerate(c.elems):
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exec "%s.%s = %d" % (c.__name__, e, i)
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def show_row(t, data):
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print "%6s: %12s%12s%12s%12s%12s" % (
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t.__name__, t.elems[data[0]],
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t.elems[data[1]], t.elems[data[2]],
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t.elems[data[3]], t.elems[data[4]])
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def main():
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perms = list(permutations(range(5)))
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for number in perms:
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if number[Nation.Norvegian] == Number.One: # Constraint 10
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for color in perms:
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if color[Nation.British] == Color.Red: # Constraint 2
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if number[color.index(Color.Blue)] == Number.Two: # Constraint 15+10
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if number[color.index(Color.White)] - number[color.index(Color.Green)] == 1: # Constraint 5
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for drink in perms:
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if drink[Nation.Danish] == Drink.Tea: # Constraint 4
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if drink[color.index(Color.Green)] == Drink.Coffee: # Constraint 6
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if drink[number.index(Number.Three)] == Drink.Milk: # Constraint 9
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for smoke in perms:
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if smoke[Nation.German] == Smoke.Prince: # Constraint 14
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if drink[smoke.index(Smoke.BlueMaster)] == Drink.Beer: # Constraint 13
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if smoke[color.index(Color.Yellow)] == Smoke.Dunhill: # Constraint 8
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if number[smoke.index(Smoke.Blend)] - number[drink.index(Drink.Water)] in (1, -1): # Constraint 16
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for pet in perms:
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if pet[Nation.Swedish] == Pet.Dog: # Constraint 3
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if pet[smoke.index(Smoke.PallMall)] == Pet.Bird: # Constraint 7
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if number[pet.index(Pet.Horse)] - number[smoke.index(Smoke.Dunhill)] in (1, -1): # Constraint 12
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if number[smoke.index(Smoke.Blend)] - number[pet.index(Pet.Cat)] in (1, -1): # Constraint 11
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print "Found a solution:"
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show_row(Nation, range(5))
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show_row(Number, number)
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show_row(Color, color)
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show_row(Drink, drink)
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show_row(Smoke, smoke)
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show_row(Pet, pet)
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print
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main()
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61
Task/Zebra-puzzle/Python/zebra-puzzle-4.py
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61
Task/Zebra-puzzle/Python/zebra-puzzle-4.py
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from constraint import *
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problem = Problem()
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Nation = ["Englishman", "Spaniard", "Japanese", "Ukrainian", "Norwegian" ]
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Color = ["Red", "Green", "White", "Yellow", "Blue" ]
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Smoke = ["Oldgold", "Kools", "Chesterfield", "Luckystrike", "Parliament"]
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Pet = ["Dog", "Snails", "Fox", "Horse", "Zebra" ]
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Drink = ["Tea", "Coffee", "Milk", "Orangejuice", "Water" ]
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# add variables: house numbers 1 to 5
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problem.addVariables(Nation, range(1,5+1))
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problem.addVariables(Color, range(1,5+1))
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problem.addVariables(Smoke, range(1,5+1))
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problem.addVariables(Pet, range(1,5+1))
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problem.addVariables(Drink, range(1,5+1))
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# add constraint: the values in each list are exclusive
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problem.addConstraint(AllDifferentConstraint(), Nation)
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problem.addConstraint(AllDifferentConstraint(), Color)
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problem.addConstraint(AllDifferentConstraint(), Smoke)
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problem.addConstraint(AllDifferentConstraint(), Pet)
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problem.addConstraint(AllDifferentConstraint(), Drink)
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# add constraint: actual constraints
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problem.addConstraint(lambda a, b: a == b, ["Englishman", "Red" ])
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problem.addConstraint(lambda a, b: a == b, ["Spaniard", "Dog" ])
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problem.addConstraint(lambda a, b: a == b, ["Green", "Coffee" ])
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problem.addConstraint(lambda a, b: a == b, ["Ukrainian", "Tea" ])
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problem.addConstraint(lambda a, b: a == b + 1, ["Green", "White" ])
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problem.addConstraint(lambda a, b: a == b, ["Oldgold", "Snails" ])
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problem.addConstraint(lambda a, b: a == b, ["Yellow", "Kools" ])
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problem.addConstraint(lambda a: a == 3, ["Milk" ])
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problem.addConstraint(lambda a: a == 1, ["Norwegian" ])
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problem.addConstraint(lambda a, b: a == b - 1 or a == b + 1, ["Chesterfield", "Fox" ])
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problem.addConstraint(lambda a, b: a == b - 1 or a == b + 1, ["Kools", "Horse" ])
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problem.addConstraint(lambda a, b: a == b, ["Luckystrike", "Orangejuice"])
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problem.addConstraint(lambda a, b: a == b, ["Japanese", "Parliament" ])
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problem.addConstraint(lambda a, b: a == b - 1 or a == b + 1, ["Norwegian", "Blue" ])
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# get solution
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sol = problem.getSolution()
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# print the answers
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nation = ["Nation" if i == 0 else "" for i in range(6)]
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color = ["Color" if i == 0 else "" for i in range(6)]
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smoke = ["Smoke" if i == 0 else "" for i in range(6)]
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pet = ["Pet" if i == 0 else "" for i in range(6)]
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drink = ["Drink" if i == 0 else "" for i in range(6)]
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for n in Nation:
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nation[sol[n]] = n
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for n in Color:
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color[sol[n]] = n
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for n in Smoke:
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smoke[sol[n]] = n
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for n in Pet:
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pet[sol[n]] = n
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for n in Drink:
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drink[sol[n]] = n
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for d in [nation, color, smoke, pet, drink]:
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print("%6s: %14s%14s%14s%14s%14s" % (d[0], d[1], d[2], d[3], d[4], d[5]))
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