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: Wrong Answer)

// ABC170 - B
function main(input) {
  var inputs = input.trim().split('\n');
  var X = inputs[0].split(' ')[0] - 0;
  var Y = inputs[0].split(' ')[1] - 0;

  for (var cr = 0; cr < X; cr++) {
    for (var tu = X - cr; tu >= 0; tu--) {
      if (cr * 2 + tu * 4 === Y) {
        console.log('Yes');
        return;
      }
    }
  }

  console.log('No');
}

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