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
x,y = map(int, raw_input().split(' '))


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

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

a = x-b
2b = y  - 2x
"""
def f(x,y):
  	
	if (y - 2*x) < 0: return False
	b = (y - 2*x)/2
	a = x - b

	b = (y - 2*x)/2
	a = x - b
	
	if a < 0: return False


	return a+b == x and 2*a + 4*b ==y
  
print 'Yes' if f(x,y) else 'No'
