Create Knapsack_problem.py

Knapsack_problem.py

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+# A Dynamic Programming based Python  
+# Program for 0-1 Knapsack problem 
+# Returns the maximum value that can  
+# be put in a knapsack of capacity W 
+def knapSack(W, wt, val, n): 
+    K = [[0 for x in range(W + 1)] for x in range(n + 1)] 
+
+    # Build table K[][] in bottom up manner 
+    for i in range(n + 1): 
+        for w in range(W + 1): 
+            if i == 0 or w == 0: 
+                K[i][w] = 0
+            elif wt[i-1] <= w: 
+                K[i][w] = max(val[i-1] + K[i-1][w-wt[i-1]],  K[i-1][w]) 
+            else: 
+                K[i][w] = K[i-1][w] 
+
+    return K[n][W] 
+
+# Driver program to test above function 
+val = [60, 100, 120] 
+wt = [10, 20, 30] 
+W = 50
+n = len(val) 
+print(knapSack(W, wt, val, n)) 
+
+# This code is contributed by Vanasetty Rohit