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 Fortran (GNU Fortran 9.2.1) (judge verdict: Accepted)

program fizzbuzz
 
 implicit none
 integer(8) :: n,ans,i
 integer(8),allocatable :: a(:)

 read*,n
 allocate(a(n))
 ans=0
 
 
 do i=1,n
  if(mod(i,3)==0 .or. mod(i,5)==0) then 
      a(i)=0
  else
      a(i)=i
     ! print*,a(i)
  end if
  ans=ans+a(i)
 end do 
   

 print*,ans

end program fizzbuzz