Problem:
Score : 200 points

Problem Statement

There are some animals in a garden. Each of them is a crane with two legs or a turtle with four legs.

Takahashi says: "there are X animals in total in the garden, and they have Y legs in total." Determine whether there is a combination of numbers of cranes and turtles in which this statement is correct.

Constraints

1 \leq X \leq 100

1 \leq Y \leq 100

All values in input are integers.

Input

Input is given from Standard Input in the following format:

X Y

Output

If there is a combination of numbers of cranes and turtles in which the statement is correct, print Yes; otherwise, print No.

Sample Input 1

3 8

Sample Output 1

Yes

The statement "there are 3 animals in total in the garden, and they have 8 legs in total" is correct if there are two cranes and one turtle. Thus, there is a combination of numbers of cranes and turtles in which the statement is correct.

Sample Input 2

2 100

Sample Output 2

No

There is no combination of numbers of cranes and turtles in which this statement is correct.

Sample Input 3

1 2

Sample Output 3

Yes

We also consider the case in which there are only cranes or only turtles.

Solution in Rust (1.42.0) (judge verdict: Accepted)

use std::io;
use std::io::{stdout, Write};
use std::cmp;

fn main() {
    let mut X = String::new();
    io::stdin().read_line(&mut X);
    let mut vec :Vec<&str> = X.trim().split_whitespace().collect();
    let mut x :usize = vec[0].parse().unwrap();
    let mut y :usize = vec[1].parse().unwrap();
    for i in 0..=x{
        if (i*2 + (x-i)*4) == y {
            println!("Yes");
            return ()
        }
    }
    println!("No")
}