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.Scanner;
public class Main {
	 public static void main(String args[]){
	Scanner scanner = new Scanner(System.in);

	int n=0;
	int m=0;
	 int bird=2;
	 int tirtle=4;
	 int sum=scanner.nextInt();
	 int legs=scanner.nextInt();

	 for(int i=0;i<=sum;i++) {
		 n=bird*i;
		 m=tirtle*(sum-i);
		 if(n+m==legs) {
			 System.out.println("Yes");
			 break;
		 }
		 if(i==sum) {
			 System.out.println("No");
		 }
	 }
	 }
}