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 , Y ;//xは動物の総数、yは足の総数
  
  scanf("%d %d",&X,&Y);
  
  int k,t;//kはカメの総数、tは鶴の総数
  
  int i,leg;
  
  if(Y == 2*X || Y == 4*X)
  {
    printf("Yes");
  }
  
  
  
  
  for(i = 0 ; i < X ; i++)
  {
    k = i;
    t = X - i;
    
    leg = 4*k + 2*t;
    
    if(Y == leg)
    {
      printf("Yes");
      return 0;
    }
  }
  
  printf("No");
  
  return 0;
}