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Java Program 0-1 Knapsack Problem #282

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39 changes: 39 additions & 0 deletions Java Program 0-1 Knapsack Problem
Original file line number Diff line number Diff line change
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/* A Naive recursive implementation of 0-1 Knapsack problem */
class Knapsack {

// A utility function that returns maximum of two integers
static int max(int a, int b) { return (a > b) ? a : b; }

// Returns the maximum value that can
// be put in a knapsack of capacity W
static int knapSack(int W, int wt[], int val[], int n)
{
// Base Case
if (n == 0 || W == 0)
return 0;

// If weight of the nth item is more
// than Knapsack 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));
}

// Driver program to test above function
public static void main(String args[])
{
int val[] = new int[] { 60, 100, 120 };
int wt[] = new int[] { 10, 20, 30 };
int W = 50;
int n = val.length;
System.out.println(knapSack(W, wt, val, n));
}
}
/*This code is contributed by Rajat Mishra */