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 ABC176B
    implicit none
    integer(8)::i,ans=0
    character(2000000)::S
    read*,S
    do i=1,len_trim(S)
        ans=ans+ichar(S(i:i))-48
    end do
    
    if(mod(ans,9)==0)then
        print'(A)',"Yes"
    else
        print'(A)',"No"
    end if
end program ABC176B