""" File: fractional_knapsack.py Created Time: 2023-07-19 Author: krahets (krahets@163.com) """ class Item: """Item""" def __init__(self, w: int, v: int): self.w = w # Item weight self.v = v # Item value def fractional_knapsack(wgt: list[int], val: list[int], cap: int) -> int: """Fractional knapsack: Greedy""" # Create an item list, containing two properties: weight, value items = [Item(w, v) for w, v in zip(wgt, val)] # Sort by unit value item.v / item.w from high to low items.sort(key=lambda item: item.v / item.w, reverse=True) # Loop for greedy selection res = 0 for 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 += (item.v / item.w) * cap # No remaining capacity left, thus break the loop break return res """Driver Code""" if __name__ == "__main__": wgt = [10, 20, 30, 40, 50] val = [50, 120, 150, 210, 240] cap = 50 n = len(wgt) # Greedy algorithm res = fractional_knapsack(wgt, val, cap) print(f"The maximum item value without exceeding knapsack capacity is {res}")