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

int main(void)
{

  double x, y, k, t;

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

  k = (y - 2 * x) / 2;
  t = (4 * x - y) / 2;


  if (k < 0 || t < 0) printf("No\n");
  else if  ((ceil(k) != floor(k)) || (ceil(t) != floor(t))) printf("No\n");
  else if (k == 0 && t == 0) printf("No\n");
  else if ((0 < k && k < 1) || (0 < t && t < 1)) printf("No\n");
  else printf("Yes\n");

  return 0;

}