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 Julia (1.4.0) (judge verdict: Accepted)

parseInt(x) = parse(Int, x)
parseMap(x::Array{SubString{String},1}) = map(parseInt, x)
#１行に数値一つならparseInt(readline())
#１行に数値複数ならparseMap(split(readline()))を行数分。
# 例：n,k = readline() |> split |> parseMap
#      a = readline() |> split |> parseMap
function main()
  #a = parseInt(readline())
  X,Y = parseMap(split(readline()))
  #println("$X,$Y")
  if X == 0 && Y == 0
      println("Yes")
      exit()
  end
  if Y < 2*X || Y > 4*X
      println("No")
      exit()
  end
  if Y % 2 != 0
      println("No")
      exit()
  end
  if (Y-2*X) % 2 == 0 && (4*X-Y) % 2 == 0
    y0 = (Y-2*X)/2
    x0 = (4*X-Y)/2
    if x0 > 0 && y0 > 0
      println("Yes")
    else
      if x0==0 && y0 > 0
        println("Yes")
      elseif y0==0 && x0 > 0
        println("Yes")

      else
        println("No")
      end
    end
  end
end
main()