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>
#include<stdlib.h>

int main(void){

    int x,y;

    scanf("%d %d",&x,&y);
    // printf("%d %d\n",x,y);

    int flag=0;
    int tmp=0;
    int a=0;

    if(2*x==y || 4*x==y){
        flag=1;
    }else if (2*x<y){
        tmp=(y-2*x)%2;
        a=x-(y-2*x)/2;
        if (tmp==0 && a>0){
            flag=1;
        }
    }

    if (flag==1)
        printf("Yes\n");
    else
        printf("No\n");
    
    return 0;
}