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 PyPy3 (7.3.0) (judge verdict: Wrong Answer)

# import math
# from collections import Counter

# N = int(input()) # 1行, 単数
# arg = list(map(int, input().split())) # 1行, 配列
# D = Counter(arg) # 出現数カウント

# print('Yes')
# print('No')
# print()
N, M = map(int,input().split())
crain = (4 * N - M) / 2
if crain.is_integer() and crain > 0:
    crain = int(crain)
    print('Yes')
else:
    print('No')