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 <string.h>
#include <math.h>


long tmp[10];

int main(){
	int X,Y;
	int x[10];
		scanf("%d%d",&X,&Y);
	/*
	a+b=X
	2a+4b=Y

	b=X-a
	
	2a+4X-4a=Y
	
	4X-2a=Y
	4X-Y=2a
	*/
	if(Y%2==0){
		int a = (4*X-Y)/2;
		
		if(a<0 || (X-a)<0){
			printf("No\n");
			return 0;
		}
		else printf("Yes\n");
	}
	else {
		
		printf("No\n");	
	}
	return 0;
}