06_sum_square_diff.c

//https://projecteuler.net/problem=6
/*

The sum of the squares of the first ten natural numbers is,
                                        1^2+2^2+...+10^2=385
The square of the sum of the first ten natural numbers is,
                                        (1+2+...+10)^2=55^2=3025
Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 
3025-385=2640.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

*/
#include <stdio.h>

int main(){


    int sum_of_squares = 0;
    int square_of_sum = 0;

    for(int i = 1; i <= 100; i++){
        sum_of_squares += i*i;
        square_of_sum += i;
    }
    square_of_sum = square_of_sum * square_of_sum;

    printf("Difference between the sum of the squares of the first one hundred natural numbers and the square of the sum is %d\n", square_of_sum - sum_of_squares);//25164150

    return 0;
}