Problem:
Score : 200 points

Problem Statement

Let us define the FizzBuzz sequence a_1,a_2,... as follows:

If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}.

If the above does not hold but 3 divides i, a_i=\mbox{Fizz}.

If none of the above holds but 5 divides i, a_i=\mbox{Buzz}.

If none of the above holds, a_i=i.

Find the sum of all numbers among the first N terms of the FizzBuzz sequence.

Constraints

1 \leq N \leq 10^6

Input

Input is given from Standard Input in the following format:

N

Output

Print the sum of all numbers among the first N terms of the FizzBuzz sequence.

Sample Input 1

15

Sample Output 1

60

The first 15 terms of the FizzBuzz sequence are:

1,2,\mbox{Fizz},4,\mbox{Buzz},\mbox{Fizz},7,8,\mbox{Fizz},\mbox{Buzz},11,\mbox{Fizz},13,14,\mbox{FizzBuzz}

Among them, numbers are 1,2,4,7,8,11,13,14, and the sum of them is 60.

Sample Input 2

1000000

Sample Output 2

266666333332

Watch out for overflow.

Solution in C (GCC 9.2.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>
 
int main(void){
    int i;
    long int j;
    j = 0;
    scanf("%d", &i);
    for(int x=0 ;x<(i/15);x++){
    j += x*8*15 + 60;    
    }
    
    switch(i%15){
    case 0:
    j += 0;
    break;
    case 1:
    j += 1 + (i/15)*15;
    break;
    case 2:
    j += 3 + (i/15)*15*2;
    break;
    case 3:
    j += 3 + (i/15)*15*2;
    break;
    case 4:
    j += 7 + (i/15)*15*3;
    break;
    case 5:
    j += 7 + (i/15)*15*3;
    break;
    case 6:
    j += 7 + (i/15)*15*3;
    break;
    case 7:
    j += 14 + (i/15)*15*4;
    break;
    case 8:
    j += 22 + (i/15)*15*5;
    break;
    case 9:
    j += 22 + (i/15)*15*5;
    break;
    case 10:
    j += 22 + (i/15)*15*5;
    break;
    case 11:
    j += 33 + (i/15)*15*6;
    break;
    case 12:
    j += 33 + (i/15)*15*6;
    break;
    case 13:
    j += 46 + (i/15)*15*7;
    break;
    case 14:
    j += 60 + (i/15)*15*8;
    break;
    }
    
  printf("%ld",j);
  return 0;
}