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Saturday 20th of April 06:14:15am

Rod Cutting Dynamic Programming in c/cpp

Rod Cutting Dynamic Programming in c/cpp

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#include<iostream>

#include<stdio.h>

#include <math.h>


int cutRod(int price[], int n);

int max(int a, int b);

using namespace std;

int main()

{

    int arr[] = {1,5,8,9};

    int size = sizeof(arr)/sizeof(arr[0]);

    printf("Maximum Obtainable Value is %d ", cutRod(arr, size));

    getchar();

    return 0;

}

int cutRod(int price[], int n)

{

   int r[n];

   r[0] = 0;

     for (int j = 1; j<=n; j++)

   {

       int q = -INFINITY;

       for (int i = 1; i <= j; i++)

         q = max(q, price[i] + r[j-i]);

       r[j] = q;

   }


   return r[n];

}

int max(int a, int b)

{

     return (a > b)? a : b;

}



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BOTTOM-UP-CUT-ROD (p, n)

1 let r[O...n] be a new array

2 r[0]=0

3 for j = 1 to n

4 q = -Infinity

5 for i = 1 to j

6 q =max(q, p[i] +r [j-i]

7 r[j]=q;

8 return r[n]

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BOTTOM-UP-CUT-ROD.p; n/

1 letrOE0: : n be a new array

2 rOE0 D 0

3 for j D 1 to n

4 q D 1

5 for i D 1 to j

6 q D max.q; pOEi  C rOEj  i /

7 rOEj  D q

8 return rOEn