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

int main(){
  int n,i,x,y,c=0,t;
  //char s[10];
  int l[100];
    
  /*fgets(s,sizeof(s),stdin);
  a[0] = strtok(s, " ");
  
  for(i=1;i<10;i++){
    //printf("a\n");
    a[i] = strtok(NULL, " ");
    }*/
  scanf("%d %d",&x,&y);
  t = x;
  
  for(c=0;c<=x;c++){
    //printf("%s",a[i]);
    if( 2*c + 4*t == y ){
      printf("Yes\n");
      return 0;
    }
    t--;
  }
  printf("No\n");
  return 0;
}