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 = (input) => {
    const spi = input.split('\n');
    const [x, y] = spi[0].split(' ').map(e => parseInt(e));

    for (let i = 0; i < x + 1; i++) {
        const turu = i * 2;
        const kame = (x - i) * 4;

        if (turu + kame === y) {
            console.log("Yes");
            return;
        }
    }

    console.log("No");
};

main(require("fs").readFileSync("/dev/stdin", "utf8"));