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 Kotlin (1.3.71) (judge verdict: Wrong Answer)

fun main(){
    val (x, y) = readLine()!!.split(" ").map{it.toInt()}
    
    val clane_leg = x * 2
    val remain_leg = y - clane_leg
    val amount_turtle = remain_leg / 2
    val amount_clane = x - amount_turtle
    
    val foots = (amount_clane * 2) + (amount_turtle * 4)
    val amount = amount_turtle + amount_clane
    

    if ((4 * x < y) and (foots == y) and (amount == x)){
        println("Yes")
    } else println("No")

}