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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.util.*;

class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
		int X = sc.nextInt(); //動物の数
		int Y = sc.nextInt(); //足の総数
		int num = 0;
		//鶴の数をiとすれば、亀の数はx-iだけ存在する
		
		for ( int i = 0; i <= X; i++) {
			if (Y == i*2 + (X - i)*4) {
			//	System.out.println("鶴:"+i + " ,亀:"+ (X-i));
				break;
			}
			else
				num++;
		}
		
		if ( num == (X+1))
			System.out.println("No");
		else
			System.out.println("Yes");
  }
}