C++ Exercises: Break a given integer in at least two parts to maximize the product of those integers

C++ Math: Exercise-28 with Solution

Write a C++ program to break a given integer in at least two parts (positive integers) to maximize the product of those integers.

Sample Input: n = 5
After breaking in +ve integers maximumn product from 5 = 6
Sample Input: n = 12
After breaking in +ve integers maximumn product from 12 = 81

Sample Solution:

C++ Code :

#include <iostream>
#include <cmath>

using namespace std;

int integer_Break(int n) {
            if (n == 2) {
                return 1;
            } else if (n == 3) {
                return 2;
            } else if (n % 3 == 0) {
                return (int) pow(3, n / 3);
            } else if (n % 3 == 1) {
                return 2 * 2 * (int) pow(3, (n - 4) / 3);
            } else {
                return 2 * (int) pow(3, n / 3);
            }
        }

int main() 
{
    int n = 5;  // (3 + 2) -> 3 x 2 = 6
    cout << "\nAfter breaking in +ve integers maximumn product from " << n << " = " << integer_Break(n) << endl;
    n = 12;  // (3 + 3 + 3 + 3) -> 3 x 3 x 3 x 3 = 81
    cout << "\nAfter breaking in +ve integers maximumn product from " << n << " = " << integer_Break(n) << endl;
    n = 17; // (3 + 3 + 3 + 3 + 3 + 2) -> 3 x 3 x 3 x 3 x 3 x 2 = 486
    cout << "\nAfter breaking in +ve integers maximumn product from " << n << " = " << integer_Break(n) << endl;    
	return 0;    
}

Sample Output:

After breaking in +ve integers maximumn product from 5 = 6

After breaking in +ve integers maximumn product from 12 = 81

After breaking in +ve integers maximumn product from 17 = 486

Flowchart:

C++ Code Editor:

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