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 Python (3.8.2) (judge verdict: Wrong Answer)

def main():
    from builtins import int, map, list, print
    import sys
    sys.setrecursionlimit(10 ** 6)

    input = (lambda: (sys.stdin.readline()).rstrip())
    input_list = (lambda: input().split())
    input_number = (lambda: int(input()))
    input_number_list = (lambda: list(map(int, input_list())))

    X, Y = input_number_list()
    if X > 51:
        print("No")
    elif Y < 2:
        print("No")
    else:
        print(['No', 'Yes'][2*X <= Y <= 4*X])


if __name__ == '__main__':
    main()