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(200000) :: N
integer(8) :: sum = 0
integer(8) :: len
integer(8) :: i
integer(8) :: num
read(5,*) N
len=len_trim(N)

do i = 1,len
	
    read(N(i:i),*)num
	sum = sum + num
end do

if (mod(sum,9)==0) then
	write(6,*) "Yes"
else
	write(6,*) "No"
endif


end program B176