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!{|i| i.to_i}
#X = 3 , Y = 8のときは、亀が1匹・鶴が2羽

=begin
3(X) * 4 = 12(全部亀)
3(X) * 4 - 8(Y) = 4本足が多い
4本足が多い / 2 = 2(鶴の数)
X - 4本足が多い / 2 = 残りの亀
[検算]
X - 4本足が多い / 2 + 4本足が多い / 2 = X
(X - 4本足が多い / 2) * 4 + (4本足が多い / 2) * 2 = Y
=end

#1,3

all_kame = X * 4
amari_leg = all_kame - Y #<0は無条件にNo
if amari_leg < 0 || amari_leg % 2 != 0
  puts "No"
else
  turu_kazu = amari_leg / 2
  kamekazu = X - turu_kazu
  if (X == turu_kazu + kamekazu) && (Y == turu_kazu * 2 + kamekazu * 4)
    puts "Yes"
  end
end