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Task/Knapsack-problem-0-1/Sidef/knapsack-problem-0-1.sidef

@@ -0,0 +1,70 @@
+var raw = <<'TABLE'
+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
+suntancream,             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
+TABLE
+
+struct KnapsackItem {
+    String name,
+    Number weight,
+    Number value,
+}
+
+var items = []
+raw.each_line{ |row|
+    var fields = row.split(/\s*,\s*/)
+    items << KnapsackItem(
+          name: fields[0],
+        weight: fields[1].to_n,
+         value: fields[2].to_n,
+    )
+}
+
+var max_weight = 400
+var p = [
+    items.len.of { [[0, []], max_weight.of(nil)...] }...,
+    max_weight.inc.of {[0, []]}
+]
+
+func optimal(i, w) {
+    if (!defined p[i][w]) {
+        var item = items[i];
+        if (item.weight > w) {
+            p[i][w] = optimal(i.dec, w)
+        }
+        else {
+            var x = optimal(i.dec, w)
+            var y = optimal(i.dec, w - item.weight)
+
+            if (x[0] > (y[0] + item.value)) {
+                p[i][w] = x;
+            }
+            else {
+                p[i][w] = [y[0] + item.value, [y[1]..., item.name]]
+            }
+        }
+    }
+    return p[i][w]
+}
+
+var sol = optimal(items.end, max_weight)
+say "#{sol[0]}: #{sol[1]}"