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: Accepted)

def main():
    s = list(map(int,input().split()))
    num_animals, foots = s[0], s[1]
    flag = 0
    for i in range(0, num_animals, 1):
        # 数
        i += 1
        i, j = i, num_animals - i
        # 判定
        if i * 2 + j * 4 == foots:
            flag += 1
            break
        elif i * 4 + j * 2 == foots:
            flag += 1
            break
    if flag == 1:
        print("Yes")
    else:
        print("No")


if __name__ == '__main__':
    main()