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 ct;
var
    i, x, y : longint;
begin
    read(x, y);
    readln;
    if y mod 2 = 0 then begin
        if (y >= (x * 2)) and (y <= (x * 4)) then begin
            for i := 1 to x do begin
                if y - 4 >= 0 then
                    y -= 4
                else if y - 2 >= 0 then
                    y -= 2
            end;
            if y = 0 then 
                writeln('Yes')
                
            else 
                writeln('No')
        end
        else
            writeln('No')
    end
    else
        writeln('No');
end.