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 (Clang 10.0.0) (judge verdict: Wrong Answer)

#include <stdio.h>
int main(void){
    int X,Y,i,kameflag=0,tsuruflag=0;
    double tsuru,kame;
    
    scanf("%d",&X);
    scanf("%d",&Y);
    
    kame=-1*(X)+Y/2;
    tsuru=-1*(Y)/2+2*X;
    
    for(i=0;i<=X;i++){
        if(kame==i){
            kameflag=1;
        }
    }
    for(i=0;i<=X;i++){
        if(tsuru==i){
            tsuruflag=1;
        }
    }
    
    if(kameflag==1 && tsuruflag==1){
        printf("Yes\n");
    }else{
        printf("No\n");
    }
    
    return 0;
}