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)

# C + T = X
# 2 * C + 4 * T = Y
# T = X - C
# 2 * C + 4 * (X - C) = Y
# - 2 * C = Y - 4 * X
# C = 2 * X - Y // 2
# T = -X + Y // 2


def main():
    X, Y = map(int, input().split())
    C = 2 * X - Y // 2
    T = -X + Y // 2
    print("Yes" if 0 <= C and 0 <= T and C + T ==
          X and 2 * C + 4 * T == Y else "No")
    return


main()