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)]
#![allow(unused_variables)]
#![allow(dead_code)]
use proconio::input;
use proconio::marker::*;
use std::cmp::{min, max};
use std::collections::{HashSet, HashMap, BinaryHeap};

struct UnionFind{
    n: usize,
    parent: Vec<usize>,
    size: Vec<usize>,
}

impl UnionFind{
    fn new(n: usize ) -> UnionFind{
        let mut parent = vec![0; n];
        for i in 0..n {
            parent[i] = i;
        }
        let size = vec![1; n];
        UnionFind{n, parent, size}
    }

    fn root(&mut self, x: usize) -> usize{
        if x == self.parent[x]{
            self.parent[x]
        }else{
            let res = self.root(self.parent[x]);
            self.parent[x] = res;
            self.parent[x]
        }
    }

    fn unite(&mut self, x: usize, y: usize){
        let a = self.root(x);
        let b = self.root(y);
        if a == b{
            return;
        }
        if self.size[a] <= self.size[b]{
            self.parent[b] = a;
            self.size[a] += self.size[b];
        }else{
            self.parent[a] = b;
            self.size[b] += self.size[a];
        }
    }

    fn is_same(&mut self, x: usize, y: usize) -> bool{
        self.root(x) == self.root(y)
    }

    fn get_size(&mut self, x: usize) -> usize{
        let a = self.root(x);
        self.size[a]
    }
}

fn main() {
    input! {
        n: Chars,
    }
    let mut t = 0;
    for &x in n.iter(){
        t += x as i32 - '0' as i32;
        t %= 9;
    }
    let ans = if t == 0 {"Yes"} else {"No"};
    println!("{}", ans);
}