C Exercises: Get the maximum product from a given integer after breaking the integer into the sum of at least two positive integers

C Programming Mathematics: Exercise-15 with Solution

Write a C program to get the maximum product of a given integer after breaking the integer into the sum of at least two positive integers.

Example:
Input: 12
Output: 81
Explanation: 12 = 3 + 3 + 3 + 3, 3 x 3 × 3 × 3 = 81.
Input: 7
Output: 12
Explanation: 7 = 3 + 2 + 2, 3 x 2 x 2 = 12.

Pictorial Presentation:

Sample Solution:

C Code:

#include <stdio.h>
#include <math.h>
#include <stdlib.h>

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(void)
{
    int n = 12;
    printf("\nMaximum product of %d after breaking the integer %d ", n, integer_Break(n));
    n = 7;
    printf("\nMaximum product of %d after breaking the integer %d ", n, integer_Break(n));    	
	return 0;
}

Sample Output:

Maximum product of 12 after breaking the integer 81 
Maximum product of 7 after breaking the integer 12 

Flowchart:

C Programming Code Editor:

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