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>

void	kame(int *x, int *y)
{
  	*x = *x - 1;
  	*y = *y - 2;
}

void	tsuru(int *x, int *y)
{
  	*x = *x - 1;
  	*y = *y - 4;
}

int	main(void)
{
  	int	x;
  	int	y;
	
	scanf("%d %d", &x, &y);
	
  	if (2 * x <= y)
    { 
	  	while (2 * x < y && x > 0)
    	{
      		tsuru(&x, &y);
        }
      	if (2 * x == y)
        {
          	printf("Yes");
        }
      	else
        {
          	printf("No");
        }
    }
    else
    {
      	printf("No");
    }
  	return (0);
}