diff --git a/knapsack.md b/knapsack.md new file mode 100644 index 000000000000..b4658d11f76e --- /dev/null +++ b/knapsack.md @@ -0,0 +1,30 @@ +# A naive recursive implementation of 0-1 Knapsack Problem + +# 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)) + +# end of function knapSack + +# To test above function +val = [60, 100, 120] +wt = [10, 20, 30] +W = 50 +n = len(val) +print knapSack(W, wt, val, n)