Consider the following algorithm: int f(n) /* n is a positive integer */ if (n <=3) return n  int sum = f(n-1) if (n is even)          return sum + f(n-2)  else return sum + f(n-3)     Develop a dynamic programming algorithm that calculates and returns the same value of f(n) for any given integer n>=1. That is, develop a dynamic programming algorithm equivalent to the recursive algorithm f(n). Describe your algorithm using C++ syntax.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider the following algorithm:

int f(n)

/* n is a positive integer */

if (n <=3) return n 

int sum = f(n-1)

if (n is even)

         return sum + f(n-2)

 else return sum + f(n-3)

 

 

Develop a dynamic programming algorithm that calculates and returns the same value of f(n) for any given integer n>=1. That is, develop a dynamic programming algorithm equivalent to the recursive algorithm f(n). Describe your algorithm using C++ syntax.

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