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
// Your code here!
$input = explode(" ",trim(fgets(STDIN)));
$animal = $input[0];//3匹いる
$asi = $input[1];//合計の足の本数
$tori = intval(2);
$kame = intval(4);


for($i=0; $i<=$animal; $i++){
    for($j=0; $j<=$animal - $i; $j++){
        $sum = $tori*$i+$kame*$j;
        if($sum == $asi){
             echo  "Yes";
             break 2;
        }else{
            // echo "NO";
        }
        
    }
}

if($sum != $asi){
    echo "No";
}