Problem:
Score : 100 points

Problem Statement

Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.

Constraints

1\leq N,K\leq 100

N and K are integers.

Input

Input is given from Standard Input in the following format:

N K

Output

If we can choose K integers as above, print YES; otherwise, print NO.

Sample Input 1

3 2

Sample Output 1

YES

We can choose 1 and 3.

Sample Input 2

5 5

Sample Output 2

NO

Sample Input 3

31 10

Sample Output 3

YES

Sample Input 4

10 90

Sample Output 4

NO

Solution in Ruby (2.3.3) (judge verdict: Runtime Error)

k,a,b = gets.chomp.split.map(&:to_i)
ans = 0
if a + 3 < b && k >= a + 1
  ans += b
  k = k - (a + 1)
  ans += (b-a)*(k/2)
  ans += k%2
else
  ans = k + 1
end

puts ans