/** * File: fractional_knapsack.cs * Created Time: 2023-07-21 * Author: hpstory (hpstory1024@163.com) */ namespace hello_algo.chapter_greedy; /* Item */ class Item(int w, int v) { public int w = w; // Item weight public int v = v; // Item value } public class fractional_knapsack { /* Fractional knapsack: Greedy */ double FractionalKnapsack(int[] wgt, int[] val, int cap) { // Create an item list, containing two properties: weight, value Item[] items = new Item[wgt.Length]; for (int i = 0; i < wgt.Length; i++) { items[i] = new Item(wgt[i], val[i]); } // Sort by unit value item.v / item.w from high to low Array.Sort(items, (x, y) => (y.v / y.w).CompareTo(x.v / x.w)); // Loop for greedy selection double res = 0; foreach (Item item in items) { if (item.w <= cap) { // If the remaining capacity is sufficient, put the entire item into the knapsack res += item.v; cap -= item.w; } else { // If the remaining capacity is insufficient, put part of the item into the knapsack res += (double)item.v / item.w * cap; // No remaining capacity left, thus break the loop break; } } return res; } [Test] public void Test() { int[] wgt = [10, 20, 30, 40, 50]; int[] val = [50, 120, 150, 210, 240]; int cap = 50; // Greedy algorithm double res = FractionalKnapsack(wgt, val, cap); Console.WriteLine("The maximum value within the bag capacity is" + res); } }