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)

x, y = list(map(int, input().split()))
# ab_sorted = sorted(ab, key=lambda x: x[0])
#ab = [list(map(int, input().split())) for i in range(n)]
# print(min(15*n, 100*(n//10+1), 100*(n//10)+15*(n % 10)))

# xひき　y本
total = 0
if y % 2 != 0:
    print("No")
    exit()
else:
    for i in range(0, x+1):
        total = 2*i + 3*(x-i)
        if total == y:
            print("Yes")
            exit()
    print("No")