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 PHP (7.4.4) (judge verdict: Wrong Answer)

<?php 
  fscanf(STDIN, "%d %d", $x, $y);
  for ($i = $x; $i > 0 ; $i--) {
    // code...
    if ($y - 4 >= 0) {
      // code...
      $y -= 4;
    }elseif ($y - 2 >= 0) {
      // code...
      $y -= 2;
    }
    if($y == 0 && $i-1 > 0){
    	echo 'No';
        return;
    }
  }

  if ($y == 0) {
    // code...
    echo 'Yes';
  }else {
    // code...
    echo 'No';
  }