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DAA4.py

@@ -0,0 +1,31 @@
+def knapsack_01(weights, values, capacity):
+    n = len(values)
+    dp = [[0 for _ in range(capacity + 1)] for _ in range(n + 1)]
+
+    for i in range(1, n + 1):
+        for w in range(1, capacity + 1):
+            if weights[i - 1] <= w:
+                dp[i][w] = max(values[i - 1] + dp[i - 1][w - weights[i - 1]], dp[i - 1][w])
+            else:
+                dp[i][w] = dp[i - 1][w]
+
+    w = capacity
+    items_taken = []
+    for i in range(n, 0, -1):
+        if dp[i][w] != dp[i - 1][w]:
+            items_taken.append((weights[i - 1], values[i - 1]))
+            w -= weights[i - 1]
+    items_taken.reverse()  # optional: maintain original order
+    return dp[n][capacity], items_taken
+
+
+values = [60, 100, 120]
+weights = [10, 20, 30]
+capacity = 50
+
+max_value, items = knapsack_01(weights, values, capacity)
+
+print("Maximum Value in Knapsack:", max_value)
+print("Items taken (weight, value):")
+for item in items:
+    print(item)