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#!/usr/bin/env python
# -*- coding: utf-8 -*-
'''
sets – The practical way to do set operations on sets of lines in the shell
Copyright © 2012 Mattias Andrée (maandree@kth.se)
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 3 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, see <http://www.gnu.org/licenses/>.
'''
import sys
def print(text = '', end = '\n'):
sys.stdout.buffer.write((str(text) + end).encode('utf-8'))
class Set():
def __init__(self):
self.inv = False
self.elems = set()
def __and__(x, y):
if x.inv and y.inv:
return ~(~x | ~y)
elif y.inv:
return x - ~y
elif x.inv:
return y - ~x
else:
rc = Set()
for e in x.elems:
if e in y.elems:
rc.elems.add(e)
return rc
def __or__(x, y):
if x.inv and y.inv:
return ~(~x & ~y)
elif y.inv:
return x | (U - ~y)
elif x.inv:
return y | (U - ~x)
else:
rc = Set()
for e in x.elems:
rc.elems.add(e)
for e in y.elems:
if e not in rc.elems:
rc.elems.add(e)
return rc
def __xor__(x, y):
return (x | y) - (x & y)
def __sub__(x, y):
if x.inv and y.inv:
return ~y - ~x
elif x.inv:
return ~(~x | y)
else:
rc = Set()
for e in x.elems:
if (e in y.elems) == y.inv:
rc.elems.add(e)
return rc
def __invert__(x):
rc = Set()
rc.elems = x.elems
rc.inv = not x.inv
return rc
sets = [Set()]
next = Set()
U = Set()
try:
while True:
e = input()
if len(e) == 0:
if len(next.elems) > 0:
sets.append(next)
next = Set()
else:
if e not in next.elems:
next.elems.add(e)
if e not in U.elems:
U.elems.add(e)
except:
pass
if len(next.elems) > 0:
sets.append(next)
formula = sys.argv[1]
formula = formula.replace('\\', '-').replace('*', '&').replace('+', '|')
formula = formula.replace('C', '~').replace('!', '~').replace('¬', '~')
formula = formula.replace('∁', '~').replace('∅', '0').replace('∆', '^')
formula = formula.replace('∧', '&').replace('∨', '|').replace('∩', '&')
formula = formula.replace('∪', '|').replace('⊗', '^').replace('⊻', '^')
formula = formula.replace('⋀', '&').replace('⋁', '|').replace('⋂', '&')
formula = formula.replace('⋃', '|').replace('Ω', 'U').replace('Ω', 'U')
formula = formula.replace('⊕', '^').replace('𝓤', 'U').replace('↛', '-')
for i in range(0, 10):
formula = formula.replace('%i' % i, 'sets[%i]' % i)
formula = formula.replace(']sets[', '')
rc = eval(formula)
if rc.inv:
rc = U - ~rc
for e in rc.elems:
print(e)
sys.stdout.buffer.flush()
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