101701: [AtCoder]ABC170 B - Crane and Turtle
Description
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.