Problem:
Score : 100 points

Problem Statement

Based on some criterion, Snuke divided the integers from 1 through 12 into three groups as shown in the figure below.
Given two integers x and y (1 ≤ x < y ≤ 12), determine whether they belong to the same group.

Constraints

x and y are integers.

1 ≤ x < y ≤ 12

Input

Input is given from Standard Input in the following format:

x y

Output

If x and y belong to the same group, print Yes; otherwise, print No.

Sample Input 1

1 3

Sample Output 1

Yes

Sample Input 2

2 4

Sample Output 2

No

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

def f(a)
  n = a.size/3
  car, mid, cdr = a.each_slice(n).to_a
  car.sort!
  cdr.sort!.reverse!
  _sum = car.inject(0,:+) - cdr.inject(0, :+)
  (0..n).map{|border|
    sum = _sum
    ii = 0
    iii = 0
    mid.each_with_index{|v, i|
      if i < border
        sub = v - car[ii]
        if sub > 0
          sum += sub
          ii += 1
        end
      else
        sub = cdr[iii] - v
        if sub > 0
          sum += sub
          iii += 1
        end
      end
    }
    sum
  }.max
end

N = gets.to_i
A = gets.split.take(N*3).map(&:to_i)
p f(A)