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 Rust (1.42.0) (judge verdict: Accepted)

#[allow(unused_imports)]
use std::cmp::*;
#[allow(unused_imports)]
use std::collections::*;
#[allow(unused_imports)]
use std::iter::*;
#[allow(unused_imports)]
use std::*;

macro_rules! test {
    ($($input:expr => $output:expr),* $(,)*) => {
#[test]
        fn solve_test() {
            $(
                {
                    let mut out = Vec::<u8>::new();
                    solve($input,&mut out);
                    let out_str =str::from_utf8(&out).unwrap();
                    assert_eq!(&out_str, &$output);
                }
            )*
        }
    };
}
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
#[allow(unused_mut)]
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let mut s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};

    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let mut $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };

    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };

    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };

    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };

    ($iter:expr,str) => {
        $iter.next().unwrap()
    };

    ($iter:expr, $t:tt) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

macro_rules! stdin {
    () => {{
        use std::io::Read;
        let mut s = String::new();
        std::io::stdin().read_to_string(&mut s).unwrap();
        s
    }};
}

fn main() {
    let mut out = std::io::stdout();

    solve(&stdin!(), &mut out);
}

#[allow(unused_mut)]
fn solve<W: std::io::Write>(src: &str, out: &mut W) {
    #[allow(unused_macros)]
    macro_rules! out {
        ($fmt:expr) => {{
            let _ = out.write_fmt(format_args!($fmt));
        }};
        ($fmt:expr, $($args:tt)*) => {{
            let _ = out.write_fmt(format_args!($fmt, $($args)*));
        }};
    }
    #[allow(unused_macros)]
    macro_rules! outln {
        ($fmt:expr) => {{
            out!(concat!($fmt,"
"));
        }};
        ($fmt:expr, $($args:tt)*) => {{
            out!(concat!($fmt, "
"), $($args)*);
        }};
    }

    input! {
        source = src,
        n:chars,
    }
    let mut s: usize = 0;
    for &nc in n.iter() {
        s += (nc as u8 - '0' as u8) as usize;
    }
    let a = if s % 9 == 0 { "Yes" } else { "No" };
    out!("{}", a);
}
test! {}