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=map(int,input().split())
N=0
M=0
A=0
B=0
C=0
N=Y%2
if N==0:
    M=X*4
    if M>=Y:
        A=Y%X
        B=Y/X
        if A==0:
            if B>2:
                print("Yes")
            else:
                print("No")
        else:
            if A>=0.5:
                C=B+1
                if C>2:
                    print("Yes")
                else:
                    print("No")
            else:
                if B>2:
                    print("Yes")
                else:
                    print("No")
    else:
        print("No")
else:
    print("No")