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`.

Examples

Input

3 8


Output

Yes


Input

2 100


Output

No


Input

1 2


Output

Yes
a,b = map(int , raw_input().split())
"""
print a,b

x + y = a
2x + 4y = b 

y = a - x
2x + 4a - 4x = b

y = a - x
-2x = b - 4a
"""

x = (4*a - b)/2
y = a - x

print 'Yes' if x + y == a and 2*x + 4 * y == b and x >= 0 and y>=0 else 'No'