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)

function main(input) {
  // 入力値の分離
  param = input.split(" ");
  const x = param[0];
  const y = param[1];
  var calc = 0;
  var result = '';
  for(var i = 0; i < x; i++){
    calc = (2 * i) + (4 * (x - i));
    if(parseInt(calc) === parseInt(y) ){
      result = "Yes";
      break;
    }
  }
 
  if(result != "Yes"){
    result = "No";
  }
 
  console.log(result);
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));parseInt