6875: ABC170 —— B - Crane and Turtle
[Creator : ]
Description
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.
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
Input is given from Standard Input in the following format:
$X\ Y$
$X\ Y$
Output
If there is a combination of numbers of cranes and turtles in which the statement is correct, print Yes; otherwise, print No.
Constraints
$1≤X≤100$
$1 \leq Y \leq 100$
All values in input are integers.
$1 \leq Y \leq 100$
All values in input are integers.
Sample 1 Input
3 8
Sample 1 Output
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 2 Input
2 100
Sample 2 Output
No
There is no combination of numbers of cranes and turtles in which this statement is correct.
Sample 3 Input
1 2
Sample 3 Output
Yes
We also consider the case in which there are only cranes or only turtles.