gets.to_i.times{
  n=gets.to_i
  a=gets.split.map(&:to_i)
  f={a.sort=>1}
  (n-1).times{
    s=Hash.new{0}
    f.each{|k,v|
      [*0..k.size-1].combination(2){|i,j|
        kd = k.dup
        jj = kd.delete_at(j)
        ii = kd.delete_at(i)
        kd << (ii+jj)+(ii*jj)
        s[kd.sort] += v
      }
    }
    f=s
  }
  p f.map{|k,v|k[0]*v}.inject(:*)/f.values.inject(:+)
}