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May 9, 2012 21:42
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Python: Solve GLAT question 1
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#!/usr/bin/env python | |
""" | |
A brute-force approach to solve the first quesiton of GLAT | |
More about GLAT: http://googleblog.blogspot.de/2004/09/pencils-down-people.html | |
The question is as follows: | |
1. Solve this cryptic equation, realizing of course that values for M and E | |
could be interchanged. No leading zeros are allowed. | |
WWWDOT - GOOGLE = DOTCOM | |
The current solution ignores the hint. Well, it ignores pretty much everything. | |
""" | |
import itertools | |
import sys | |
chars = [list(word) for word in "WWWDOT,GOOGLE,DOTCOM".lower().split(',')] | |
uchars = set(itertools.chain(*chars)) | |
uchars.add('') | |
permutations = itertools.permutations(uchars, 10) | |
equations = [list(reversed(c)) for c in reversed(zip(*chars))] | |
def map_(per, equations): | |
o3 = 0 | |
for op1, op2, su in equations: | |
o1, o2, s = per.index(op1), per.index(op2), per.index(su) | |
if not (o1 + o2 + o3) % 10 == s: | |
return False | |
o3 = (o1 + o2 + o3) / 10 | |
return True | |
def reduce_(iterable, equations): | |
for per in iterable: | |
if map_(per, equations): | |
return per | |
return False | |
exitcode = 1 | |
sol = reduce_(permutations, equations) | |
if sol: | |
exitcode = 0 | |
for i, p in enumerate(sol): | |
if p: | |
print "{0}: {1}".format(p.upper(), i) | |
if exitcode: | |
print "boohoo!" | |
sys.exit(exitcode) |
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