RosettaCodeData/Task/Knapsack-problem-0-1/Python/knapsack-problem-0-1-1.py

32 lines
1.2 KiB
Python

from itertools import combinations
def anycomb(items):
' return combinations of any length from the items '
return ( comb
for r in range(1, len(items)+1)
for comb in combinations(items, r)
)
def totalvalue(comb):
' Totalise a particular combination of items'
totwt = totval = 0
for item, wt, val in comb:
totwt += wt
totval += val
return (totval, -totwt) if totwt <= 400 else (0, 0)
items = (
("map", 9, 150), ("compass", 13, 35), ("water", 153, 200), ("sandwich", 50, 160),
("glucose", 15, 60), ("tin", 68, 45), ("banana", 27, 60), ("apple", 39, 40),
("cheese", 23, 30), ("beer", 52, 10), ("suntan cream", 11, 70), ("camera", 32, 30),
("t-shirt", 24, 15), ("trousers", 48, 10), ("umbrella", 73, 40),
("waterproof trousers", 42, 70), ("waterproof overclothes", 43, 75),
("note-case", 22, 80), ("sunglasses", 7, 20), ("towel", 18, 12),
("socks", 4, 50), ("book", 30, 10),
)
bagged = max( anycomb(items), key=totalvalue) # max val or min wt if values equal
print("Bagged the following items\n " +
'\n '.join(sorted(item for item,_,_ in bagged)))
val, wt = totalvalue(bagged)
print("for a total value of %i and a total weight of %i" % (val, -wt))