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";
var input = require("fs").readFileSync("/dev/stdin", "utf8");
var cin = input.split(/ |\n/),
    cid = 0;

// number一個取得
// eslint-disable-next-line no-unused-vars
const next = () => +cin[cid++];

// 文字列一個取得
// eslint-disable-next-line no-unused-vars
const nextstr = () => cin[cid++];

// BigInteger一個取得
// eslint-disable-next-line no-unused-vars
const nextbig = () => BigInt(cin[cid++]);

// 長さnの配列として取得。aは文字列フラグ
// eslint-disable-next-line no-unused-vars
const nexts = (n, a) =>
    a ? cin.slice(cid, (cid += n)) : cin.slice(cid, (cid += n)).map((a) => +a);

// w個ずつを組にして長さhの配列。aは文字列フラグ。
// eslint-disable-next-line no-unused-vars
const nextm = (h, w, a) => {
    var r = [],
        i = 0;
    if (a) for (; i < h; i++) r.push(cin.slice(cid, (cid += w)));
    else for (; i < h; i++) r.push(cin.slice(cid, (cid += w)).map((a) => +a));
    return r;
};
// 多次元配列。v,a1,a2,a3 なら、3次元。[[値vで長さa3の配列]をa2個並べた配列]をa1個並べた配列。
// eslint-disable-next-line no-unused-vars
const xArray = (...args) => {
    var a = args,
        l = a.length,
        r = "Array(a[" + --l + "]).fill().map(x=>{return " + a[0] + ";})";
    while (--l) r = "Array(a[" + l + "]).fill().map(x=>" + r + ")";
    return eval(r);
};

console.log(main());

function main() {
    let x = next();
    let y = next();
    let b = (y - 2 * x) / 2;
    let a = x - b;
    if (Number.isInteger(a) && Number.isInteger(b) && 0 <= a && 0 <= b)
        return "Yes";
    return "No";
}