From 28212ea80883c0a124e2e3eb21d1c4c8f92a8e0c Mon Sep 17 00:00:00 2001
From: Alvreda Ivena <alvredaivena@yahoo.co.id>
Date: Wed, 17 Dec 2014 15:32:48 +0700
Subject: [PATCH] added Knapsack Unbound

---
 KnapsackUnbounded.go | 72 ++++++++++++++++++++++++++++++++++++++++++++
 README.md            |  2 +-
 2 files changed, 73 insertions(+), 1 deletion(-)
 create mode 100644 KnapsackUnbounded.go

diff --git a/KnapsackUnbounded.go b/KnapsackUnbounded.go
new file mode 100644
index 0000000..83a9c8d
--- /dev/null
+++ b/KnapsackUnbounded.go
@@ -0,0 +1,72 @@
+package main
+ 
+import "fmt"
+ 
+type item struct {
+    name string
+    value int
+    weight, volume float64
+} 
+
+type Result struct {
+	counts []int
+	sum    int
+}
+ 
+func min(a, b int) int {
+	if a < b {
+		return a
+	}
+	return b
+}
+ 
+//O(n!)
+func knap(wants []item, w, v float64) (res Result) {
+	if len(wants) == 0 {
+		return
+	}
+	n := len(wants) - 1
+	maxCount := min(int(w/wants[n].weight), int(v/wants[n].volume))
+	for count:=0; count<=maxCount; count++ {
+		sol := knap(wants[:n],
+			w-float64(count)*wants[n].weight,
+			v-float64(count)*wants[n].volume)
+		sol.sum += wants[n].value * count
+		if sol.sum > res.sum {
+			sol.counts = append(sol.counts, count)
+			res = sol
+		}
+	}
+	return
+}
+ 
+func main() {
+	items := []item{
+		//nama, value, weight, volume
+		{"Mangga", 3000, 0.3, 0.025},
+		{"Pisang", 1800, 0.2, 0.015},
+		{"Jambu", 2500, 2.0, 0.002},
+		{"Nanas", 1500, 1.2, 0.012},
+	}
+	var sumCount, sumValue int
+	var sumWeight, sumVolume float64
+ 
+	result := knap(items, 30, 0.25)
+	
+	fmt.Println("Knapsack Unbound") 
+	fmt.Println("Berat Maksimum : 25")
+	fmt.Println("Volume Maksimum : 0.25")
+	fmt.Println("Item yang dapat dibawa :")
+	for i:=0; i<len(result.counts); i++ {
+		fmt.Printf("%s   x %d -> Berat: %.3f  Volume: %.3f  Value: %d\n",
+			items[i].name, result.counts[i], items[i].weight*float64(result.counts[i]),
+			items[i].volume*float64(result.counts[i]), items[i].value*result.counts[i])
+ 
+		sumCount += result.counts[i]
+		sumValue += items[i].value * result.counts[i]
+		sumWeight += items[i].weight * float64(result.counts[i])
+		sumVolume += items[i].volume * float64(result.counts[i])
+	}
+ 
+	fmt.Printf("Total %d -> Berat: %.3f  Volume: %.3f  Value: %d\n", sumCount, sumWeight, sumVolume, sumValue)
+}
\ No newline at end of file
diff --git a/README.md b/README.md
index f62c386..2e68c77 100644
--- a/README.md
+++ b/README.md
@@ -24,7 +24,7 @@ ChangeLog:
 * 2014-12-15 added BinarySearch (Siti)
 * 2014-12-15 added SliceHeap (Siti)
 * 2014-12-15 added Skiplist (Cicih)
-* 2014-12-17 added Knapsack 0-1 (Alvreda)
+* 2014-12-17 added Knapsack 0-1, Knapsack Unbounded (Alvreda)
 
 TODO:
 =====