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#!/usr/bin/python3
from z3 import *
a,b,c,d,e,f = Ints('a b c d e f')
s = Solver()
s.add(215*a + 275*b + 335*c + 355*d + 420*e + 580*f == 1505, a>=0, b>=0, c>=0, d>=0, e>=0, f>=0)
results=[]
while True:
if s.check() == sat: #
m = s.model() #
print(m) #
results.append(m)
#block = [a != m[a].as_long(), b != m[b].as_long(), c != m[c].as_long(), d != m[d].as_long(), e != m[e].as_long(), f != m[f].as_long()]
#Different approach: Iterate over all entries in the model
block = []
for d in m.decls():
#print(d, type(d), d(), type(d()), m[d], type(m[d]))
block.append(d() != m[d].as_long())
s.add(Or(block))
else:
print ("All results enumerated, total =", len(results))
break