Created
June 14, 2012 18:42
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Desafío 2012-06 El problema de Hamming
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#!/usr/bin/env python | |
# -*- coding: utf-8 -*- | |
# | |
# hamming.py | |
# | |
# Copyright 2012 Javier Rovegno Campos <javier.rovegno@gmail.com> | |
# | |
# This program is free software; you can redistribute it and/or modify | |
# it under the terms of the GNU General Public License as published by | |
# the Free Software Foundation; either version 2 of the License, or | |
# (at your option) any later version. | |
# | |
# This program is distributed in the hope that it will be useful, | |
# but WITHOUT ANY WARRANTY; without even the implied warranty of | |
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
# GNU General Public License for more details. | |
# | |
# You should have received a copy of the GNU General Public License | |
# along with this program; if not, write to the Free Software | |
# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, | |
# MA 02110-1301, USA. | |
import sys | |
def H(p1, p2, p3, i): | |
""" | |
>>> H(2,3,5,5) | |
6 | |
>>> H(2,3,5,9) | |
12 | |
>>> H(7,13,19,100) | |
26590291 | |
""" | |
p1, p2, p3, i = int(p1), int(p2), int(p3), int(i) | |
binomial = [120, 1140, 4060, 9880, 19600, | |
34220, 54740, 82160, 117480, | |
161700, 215820, 280840, 357760] | |
combina = 0 | |
for val in binomial: | |
combina += 10 | |
if val > i: | |
break | |
s = range(combina) | |
p = [[k,l,m] for k in s for l in s for m in s] | |
aux = [] | |
for j in p: | |
aux.append(p1**j[0] * p2**j[1] * p3**j[2]) | |
aux.sort() | |
return aux[i] | |
def test(): | |
import doctest | |
doctest.testmod() | |
def main(): | |
try: | |
args = sys.argv[1:] | |
print H(args[0], args[1], args[2], args[3]) | |
except: | |
print "Use: python hamming.py 7 13 19 100" | |
if __name__ == '__main__': | |
main() |
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