Score : 200 points
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.
Input is given from Standard Input in the following format:
X Y
If there is a combination of numbers of cranes and turtles in which the statement is correct, print Yes
; otherwise, print No
.
3 8
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.
2 100
No
There is no combination of numbers of cranes and turtles in which this statement is correct.
1 2
Yes
We also consider the case in which there are only cranes or only turtles.