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 JavaScript (Node.js 12.16.1) (judge verdict: Accepted)

"use strict";
    
const main = arg => {
    arg = arg.trim().split("\n");
    const animals = parseInt(arg[0].split(" ")[0]);
    const legs = parseInt(arg[0].split(" ")[1]);
    
    if(legs / 2 === animals) {
        console.log("Yes");
        return;
    }
    
    if(legs / 4 === animals) {
        console.log("Yes");
        return;
    }
    
    for(let i=0; i<animals; i++) {
        const tsuru = i;
        const kame = animals - i;
        
        if((tsuru * 2) + (kame * 4) === legs) {
            console.log("Yes");
            return;
        }
    }
    
    console.log("No");
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));