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DAA3.py

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+def fractional_knapsack(weights, values, capacity):
+    n = len(values)
+    ratio = [(values[i] / weights[i], weights[i], values[i]) for i in range(n)]
+    ratio.sort(reverse=True)
+    total_value = 0.0
+    knapsack_items = []
+    for r, w, v in ratio:
+        if capacity == 0:
+            break
+        if w <= capacity:
+            capacity -= w
+            total_value += v
+            knapsack_items.append((w, v, 1))  # 1 = full item taken
+        else:
+            # Take fraction of the item
+            fraction = capacity / w
+            total_value += v * fraction
+            knapsack_items.append((w, v, fraction))
+            capacity = 0
+    return total_value, knapsack_items
+
+values = [60, 100, 120]
+weights = [10, 20, 30]
+capacity = 50
+
+max_value, items_taken = fractional_knapsack(weights, values, capacity)
+
+print("Maximum Value in Knapsack:", max_value)
+print("Items taken (weight, value, fraction):")
+for item in items_taken:
+    print(item)