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 C (GCC 9.2.1) (judge verdict: Accepted)

#include<stdio.h>
#include<math.h>
int main(){

	int x,y;

	scanf("%d%d",&x,&y);

	// 2c + 4t = y and 2c + 2t = 2x, (y - 2x) / 2  = t, x - t
	if(y == 2*x) printf("Yes\n");
	else{
		if(y > 2*x && (y-2*x) % 2 == 0 ){
			int t = (y-2*x) / 2;
			int c = x - t;
			if(c >= 0) {
				printf("Yes\n");
			}else{
				printf("No\n");
			}
		}else{
				printf("No\n");
		}
	}



}