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: Runtime Error)

xn = input().split()
data_str = input().split()
data = [int(s) for s in data_str] #data_strをint型に変換

data_2 = []

x = int(xn[0]) #これに近い値
data.sort() #小さい順

print(data)

#dataにない値が出るまでxから１引き続ける　１引き続けた値をaとする
a = x-1
while True:
    #check
    for i in range(data):
        if data[i] == a:
            a = a - 1
        else:
            data_2.append(a)
            break
    if a == int(data_2[0]):
        break

#dataにない値が出るまでxかに１を足し続ける　１足し続けた値をbとする
b = x + 1
while True:
    #check
    for i in range(data):
        if int(data[i]) != b:
            data_2.append(b)
            print("bの値{}".format(b))
            break
        else:
            b = b + 1
            break
    if b == int(data_2[1]):
        break

#aとbの小さい方をprint
if abs(x-a) < abs(b-x):
    print(a)
else:
    print(b)