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 x,y;
    int check = 0;
    int check2 = 0;

    scanf("%d\n",&x);
    scanf("%d\n",&y);

    for(int i = 0; i <= 100; i++){
        if(check == 1) break;
        for(int j = 0; j <= 100; j++){
            if(i+j==x && (2*i)+(4*j)==y){
                printf("Yes\n");
                check = 1;
              	check2 = 1;
              	break;
            }
        }
    }
    if(check2 ==0){
        printf("No\n");
    }
    return 0;
}