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: Accepted)

<?php
// Your code here!
list($x,$y) = explode(" ", trim(fgets(STDIN)));
$turu = 2;
$kame = 4;

if($y % 2 != 0){
    echo "No";
    exit;
}
if($x * 4 < $y){
    echo "No";
    exit;
}

for($i=0;$i<=$x;$i++){
    // ($x-$i.$i);
    if(($x-$i) * 2 + $i * 4 == $y){
        echo "Yes";
        exit;
    }
}
echo "No";

?>