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 Pascal (FPC 3.0.4) (judge verdict: Accepted)

program main;
var x, y, a, b : longint;
    t : real;
    r : boolean;

begin
  readln(x,y);
  r := true;
  t := (y-2*x) / 2;
  if (frac(t) = 0) and (t >= 0) then
    b := trunc(t)
  else 
    r := false;
  a := x - b;
  if a < 0 then
    r := false;
  if r then
    writeln('Yes')
  else
    writeln('No');
end.