Data update

Task/Knapsack-problem-Bounded/Pluto/knapsack-problem-bounded.pluto

@@ -0,0 +1,85 @@
+require "table2"
+local fmt = require "fmt"
+
+class item
+    function __construct(public name, public weight, public value, public count)
+    end
+end
+
+local items = {
+    new item("map", 9, 150, 1),
+    new item("compass", 13, 35, 1),
+    new item("water", 153, 200, 2),
+    new item("sandwich", 50, 60, 2),
+    new item("glucose", 15, 60, 2),
+    new item("tin", 68, 45, 3),
+    new item("banana", 27, 60, 3),
+    new item("apple", 39, 40, 3),
+    new item("cheese", 23, 30, 1),
+    new item("beer", 52, 10, 3),
+    new item("suntan cream", 11, 70, 1),
+    new item("camera", 32, 30, 1),
+    new item("T-shirt", 24, 15, 2),
+    new item("trousers", 48, 10, 2),
+    new item("umbrella", 73, 40, 1),
+    new item("waterproof trousers", 42, 70, 1),
+    new item("waterproof overclothes", 43, 75, 1),
+    new item("note-case", 22, 80, 1),
+    new item("sunglasses", 7, 20, 1),
+    new item("towel", 18, 12, 2),
+    new item("socks", 4, 50, 1),
+    new item("book", 30, 10, 2)
+}
+
+local n = #items
+local max_weight = 400
+
+local function knapsack(w)
+    local m = table.create(n + 1)
+    for i = 0, n do m[i + 1] = table.rep(w + 1, 0) end
+    for i = 1, n do
+        for j = 0, w do
+            m[i + 1][j + 1] = m[i][j + 1]
+            for k = 1, items[i].count do
+                if k * items[i].weight > j then break end
+                local v = m[i][j - k * items[i].weight + 1] + k * items[i].value
+                if v > m[i + 1][j + 1] then m[i + 1][j + 1] = v end
+            end
+        end
+    end
+    local s = table.rep(n, 0)
+    local j = w
+    for i = n, 1, -1 do
+        local v = m[i + 1][j + 1]
+        local k = 0
+        while v != m[i][j + 1] + k * items[i].value do
+            s[i] += 1
+            j -= items[i].weight
+            k += 1
+        end
+    end
+    return s
+end
+
+local s = knapsack(max_weight)
+print("Item Chosen             Weight Value  Number")
+print("---------------------   ------ -----  ------")
+local item_count = 0
+local sum_weight = 0
+local sum_value  = 0
+local sum_number = 0
+for i = 1, n do
+       if s[i] != 0 then
+           item_count  += 1
+           local name   = items[i].name
+           local number = s[i]
+           local weight = items[i].weight * number
+           local value  = items[i].value  * number
+           sum_number  += number
+           sum_weight  += weight
+           sum_value   += value
+           fmt.print("%-22s    %3d   %4d    %2d", name, weight, value, number)
+       end
+end
+print("---------------------   ------ -----  ------")
+fmt.print("Items chosen %d           %3d   %4d    %2d", item_count, sum_weight, sum_value, sum_number)