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: Wrong Answer)

x,y = gets.split(' ').map(&:to_i)

#足が奇数の時
if y%2 != 0
    puts 'No' 
#足が偶数の時
else
    #総数が2匹以下の場合
    if x <= 2
        if y <= 8
            puts 'Yes'
        else
            puts 'No'
        end
    else
        nums = y - 6
        x = x - 2
        #足の数を満たすのに必要な鶴の数
        t = nums / 4
        nums = nums - t*4
        #足の数を満たすのに必要な亀の数
        c = nums / 2
        #鶴・亀・鶴亀が総数よりも多い場合
        if t > x || c > x || t+c > x
            puts 'No'
        else
            puts 'Yes'
        end
    end
end