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: Wrong Answer)

#include<stdio.h>
int main()
{
	int x,y,a,b,i;
	scanf("%d %d",&x,&y);
	if(x*2<y&&x*4<y){
		printf("No\n");
	}
	else if(x==1&&y==2||x==1&&x==4){
		printf("Yes\n");
	}
	else{
		for(i=0;i<x;i++){
		a=y%4;
		b=y/4;
		if(b<=x&&a==0){
			printf("Yes\n");
		}
		else if(a%2==0){
			printf("Yes\n");
		}
		else printf("No\n");
		return 0;
		}
	}
}