Problem:
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.

Solution in Ruby (2.7.1) (judge verdict: Runtime Error)

x, y = gets.split.map(&:to_i)
if y.even && (y/2)-X >= 0 && X*2-(y/2) >= 0
  puts "Yes"
else
  puts "No"
end
__DATA__
X = t + k
Y = 2t + 4k
  
2(X-k) + 4k = Y
2X-2k+4k=Y
2X+2k=Y
X+k=Y/2
k=Y/2-X
  
2t + 4(X-t) = Y
 t + 2X -2t = Y/2
  2X-Y/2 = t