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)
break1 = "false"

if y.odd?
  puts "No"
elsif x > 48
  puts "No"
else
  for t in 0..48 do
   for k in 0..25 do
     if t+k == x && (t*2)+(k*4) == y
       puts "Yes"
       break1 = "true"
       break
     end
     if t == 48 && k == 25 && break1 == "false"
		puts "No"
   	 end  
   end
   if break1 == "true"
     break
   end
  end
end