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(void)
{
    int x;
    int y;
    int turu=-1;
    int kame=-1;
    int flag=0;

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

    int i,j;
    for(i=0;i+j<=x;i++)
    {
        for(j=0;i+j<=x;j++)
        {
            if((i+j==x)&&(2*i+4*j==y))
            {
                flag =1;
            }
        }
    }
    if(flag =1)
    {
        printf("Yes");
    }
    else
    {
        printf("No");
    }
    
    return 0;
}