Data commit

Task/Knapsack-problem-Unbounded/Kotlin/knapsack-problem-unbounded.kotlin

@@ -0,0 +1,67 @@
+// version 1.1.2
+
+data class Item(val name: String, val value: Double, val weight: Double, val volume: Double)
+
+val items = listOf(
+    Item("panacea", 3000.0, 0.3, 0.025),
+    Item("ichor", 1800.0, 0.2, 0.015),
+    Item("gold", 2500.0, 2.0, 0.002)
+)
+
+val n = items.size
+val count = IntArray(n)
+val best  = IntArray(n)
+var bestValue = 0.0
+
+const val MAX_WEIGHT = 25.0
+const val MAX_VOLUME = 0.25
+
+fun knapsack(i: Int, value: Double, weight: Double, volume: Double) {
+    if (i == n) {
+        if (value > bestValue) {
+            bestValue = value
+            for (j in 0 until n) best[j] = count[j]
+        }
+        return
+    }
+    val m1 = Math.floor(weight / items[i].weight).toInt()
+    val m2 = Math.floor(volume / items[i].volume).toInt()
+    val m  = minOf(m1, m2)
+    count[i] = m
+    while (count[i] >= 0) {
+        knapsack(
+            i + 1,
+            value  + count[i] * items[i].value,
+            weight - count[i] * items[i].weight,
+            volume - count[i] * items[i].volume
+        )
+        count[i]--
+    }
+}
+
+fun main(args: Array<String>) {
+    knapsack(0, 0.0, MAX_WEIGHT, MAX_VOLUME)
+    println("Item Chosen  Number Value  Weight  Volume")
+    println("-----------  ------ -----  ------  ------")
+    var itemCount = 0
+    var sumNumber = 0
+    var sumWeight = 0.0
+    var sumVolume = 0.0
+    for (i in 0 until n) {
+        if (best[i] == 0) continue
+        itemCount++
+        val name   = items[i].name
+        val number = best[i]
+        val value  = items[i].value  * number
+        val weight = items[i].weight * number
+        val volume = items[i].volume * number
+        sumNumber += number
+        sumWeight += weight
+        sumVolume += volume
+        print("${name.padEnd(11)}   ${"%2d".format(number)}    ${"%5.0f".format(value)}   ${"%4.1f".format(weight)}")
+        println("    ${"%4.2f".format(volume)}")
+    }
+    println("-----------  ------ -----  ------  ------")
+    print("${itemCount} items       ${"%2d".format(sumNumber)}    ${"%5.0f".format(bestValue)}   ${"%4.1f".format(sumWeight)}")
+    println("    ${"%4.2f".format(sumVolume)}")
+}