# Unbounded

```ruby
struct KnapsackItem {
    Number volume,
    Number weight,
    Number value,
    String name,
}
 
var items = [
    KnapsackItem(25,  3, 3000, "panacea")
    KnapsackItem(15,  2, 1800, "ichor"  )
    KnapsackItem( 2, 20, 2500, "gold"   )
]
 
var (
    max_weight = 250,
    max_vol = 250,
    vsc = 1000,
    wsc = 10
)
 
func solve(i, w, v) is cached {
    return [0, []] if i.is_neg;
 
    var x = solve(i.dec, w, v);
 
    var (w1, v1);
    Inf.times { |t|
        var item = items[i];
        break if ((w1 = (w - t*item.weight)).is_neg)
        break if ((v1 = (v - t*item.volume)).is_neg)
 
        var y = solve(i.dec, w1, v1);
        if ((var tmp = (y[0] + t*item.value)) > x[0]) {
            x = [tmp, [y[1]..., [i, t]]];
        }
    }
 
    return x
}
 
var x = solve(items.end, max_weight, max_vol)
 
print <<"EOT"
Max value #{x[0]}, with:
    Item        Qty     Weight   Vol    Value
#{"-" * 50}
EOT
 
var (wtot=0, vtot=0);
x[1].each { |s|
    var item = items[s[0]];
    "    #{item.name}:\t% 3d  % 8d% 8g% 8d\n".printf(
        s[1],
        item.weight * s[1] / wsc,
        item.volume * s[1] / vsc,
        item.value  * s[1]
    );
    wtot += (item.weight * s[1]);
    vtot += (item.volume * s[1]);
}
 
print <<"EOT"
#{"-" * 50}
    Total:\t     #{"%8d%8g%8d" % (wtot/wsc, vtot/vsc, x[0])}
EOT
```

#### Output:

```
Max value 54500, with:
    Item        Qty     Weight   Vol    Value
--------------------------------------------------
    panacea:      9         2   0.225   27000
    gold:        11        22   0.022   27500
--------------------------------------------------
    Total:                 24   0.247   54500
```


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