diff --git a/Dynamic Programming/knapsack.py b/Dynamic Programming/knapsack.py new file mode 100644 index 0000000..eee1c39 --- /dev/null +++ b/Dynamic Programming/knapsack.py @@ -0,0 +1,28 @@ +# Returns the maximum value that can be put in a knapsack of +# capacity W +def knapSack(W , wt , val , n): + + # Base Case + if n == 0 or W == 0: + return 0 + + # If weight of the nth item is more than Knapsack of capacity + # W, then this item cannot be included in the optimal solution + if (wt[n-1] > W): + return knapSack(W , wt , val , n-1) + + # return the maximum of two cases: + # (1) nth item included + # (2) not included + else: + return max(val[n-1] + knapSack(W-wt[n-1] , wt , val , n-1), + knapSack(W , wt , val , n-1)) + + +# To test above function +val = [60, 100, 120] +wt = [10, 20, 30] +W = 50 +n = len(val) +print(knapSack(W , wt , val , n)) +# output 220