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 i,x,y,kame,turu,ans;
  i=0;
  x=0;
  y=0;
  kame=0;
  turu=0;
  ans=0;
  scanf("%d",&x);
  scanf("%d",&y);
  kame=(y-2*x)/2*4;
  turu=(y-kame)/2;
  if((x==1&&y==2)||(x==1&&y==4))
  {
    printf("Yes");
  }
  else if(turu%2==0&&y>turu)
  {
    printf("Yes");
  }
  else
  {
    printf("No");
  }
  return 0;
}