Bounded
var raw = <<'TABLE'
map 9 150 1
compass 13 35 1
water 153 200 2
sandwich 50 60 2
glucose 15 60 2
tin 68 45 3
banana 27 60 3
apple 39 40 3
cheese 23 30 1
beer 52 10 1
suntancream 11 70 1
camera 32 30 1
T-shirt 24 15 2
trousers 48 10 2
umbrella 73 40 1
w_trousers 42 70 1
w_overcoat 43 75 1
note-case 22 80 1
sunglasses 7 20 1
towel 18 12 2
socks 4 50 1
book 30 10 2
TABLE
struct KnapsackItem {
String name,
Number weight,
Number value,
Number quant,
}
var items = []
raw.each_line{ |row|
var fields = row.words;
items << KnapsackItem(
name: fields[0],
weight: fields[1].to_n,
value: fields[2].to_n,
quant: fields[3].to_n,
)
}
func pick(weight, pos) is cached {
if (pos.is_neg || weight.is_neg || weight.is_zero) {
return (0, 0, [])
}
var (bv=0, bi=0, bw=0, bp=[])
var item = items[pos];
for i in range(0, item.quant) {
break if (i*item.weight > weight)
var (v, w, p) = pick(weight - i*item.weight, pos.dec)
next if ((v += i*item.value) <= bv)
(bv, bi, bw, bp) = (v, i, w, p)
}
(bv, bw + bi*item.weight, [bp..., bi])
}
var (v, w, p) = pick(400, items.end)
p.range.each { |i|
say "#{p[i]} of #{items[i].name}" if p[i].is_pos
}
say "Value: #{v}; Weight: #{w}"
Output:
1 of map
1 of compass
1 of water
2 of glucose
3 of banana
1 of cheese
1 of suntancream
1 of w_overcoat
1 of note-case
1 of sunglasses
1 of socks
Value: 1010; Weight: 396
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