Problem:
Score : 200 points

Problem Statement

An integer N is a multiple of 9 if and only if the sum of the digits in the decimal representation of N is a multiple of 9.

Determine whether N is a multiple of 9.

Constraints

0 \leq N < 10^{200000}

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If N is a multiple of 9, print Yes; otherwise, print No.

Sample Input 1

123456789

Sample Output 1

Yes

The sum of these digits is 1+2+3+4+5+6+7+8+9=45, which is a multiple of 9, so 123456789 is a multiple of 9.

Sample Input 2

0

Sample Output 2

Yes

Sample Input 3

31415926535897932384626433832795028841971693993751058209749445923078164062862089986280

Sample Output 3

No

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

program b176
 
implicit none
character(len=200000) :: a 
integer :: n, i, t

read *, a

n = 0

do i = 1, 200000
 if (a(i:i) == ' ') then
  exit
 else
  read(a(i:i),*) t
  n = n + t
 end if
end do

!print *, n
 
if(mod(n, 9) == 0) then
 print *, 'Yes'
else
 print *, 'No'
end if


end program b176