package DynamicProgramming;

/**
 * A DynamicProgramming solution for Rod cutting problem Returns the best obtainable price for a rod
 * of length n and price[] as prices of different pieces
 */
public class RodCutting {

 private static int cutRod(int[] price, int n) {
 int val[] = new int[n + 1];
 val[0] = 0;

 for (int i = 1; i <= n; i++) {
 int max_val = Integer.MIN_VALUE;
 for (int j = 0; j < i; j++) max_val = Math.max(max_val, price[j] + val[i - j - 1]);

 val[i] = max_val;
 }

 return val[n];
 }

 // main function to test
 public static void main(String args[]) {
 int[] arr = new int[] {2, 5, 13, 19, 20};
 int size = arr.length;
 int result = cutRod(arr, size);
 System.out.println("Maximum Obtainable Value is " + result);
 }
}