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)

// inputに入力データ全体が入る
function Main(input) {
	// 1行目がinput[0], 2行目がinput[1], …に入る
	const inputLines = input.split("\n");
	const line0 = inputLines[0];
	const line0vars = line0.split(" ");

	const x = parseInt(line0vars[0], 10);
	const y = parseInt(line0vars[1], 10);

	if (y%2 === 1) {
		console.log("No");
		return;
	}

	const result = (x * 2 <= y && y <= x * 4);
	console.log(result ? "Yes" : "No");

	// tmp = input[1].split(" ");
	// //文字列から10進数に変換するときはparseIntを使います
	// var a = parseInt(input[0], 10);
	// var b = parseInt(tmp[0], 10);
	// var c = parseInt(tmp[1], 10);
	// var s = input[2];

	//出力
	// console.log('%d %s',a+b+c,s);
}
//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));

// node index.js
// 1
// 2 3
// test
// (Ctrl + D)