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>
int main (void){
  int kame,turu,x,y,i,j,ans=0;;
  scanf("%d%d",&x,&y);
  //総当たり
  /*
  for(kame=0;kame<=x;kame++){
    turu=x-kame;
    if(kame*4+turu*2==y){ans=1;}
    
  }
  if(ans==1){printf("Yes\n");}
  else{printf("No\n");}
  */
  //条件を求める
  if(y%2==0&&(x*2<=y&&y<=x*4)){printf("Yes\n");}
  else{printf("No\n");}
  
  return 0;
}