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)

const main = (input) => {
	const args = input.trim().split(" ");
	const x = args[0];
	const y = args[1];

 const z = y % 2;
 if(z !== 0){
	 console.log('No');
	 return;
 }

	const a = (2 * x) - (y / 2);
	const b = (-1 * x) + (y / 2);
	if(a < 0 || b < 0){
		console.log('No');
		return;
	}
	console.log('Yes');
}

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