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)

function Main(input) {

    input = input.split("\n");
    const numArray = input[0].split(" ");

    const sum = Number(numArray[0]);
    const legSum = Number(numArray[1]);

    const min = sum * 2;
    const max = sum * 4;


    if (legSum >= min && legSum <= max && legSum % 2 === 0) {
        console.log('Yes');
    } else {
        console.log('No');
    }
}

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