arequire 'matrix' K = gets.to_i ans = Matrix[*(0...K).map {|i| (0...K).map {|j| if j == 0 if i == 0 [K, 6].min else [(K - i) - 6, 0].min end elsif j < i 0 elsif j == i 6 elsif j <= i + 6 -1 else 0 end }}].lup.solve([6]*K)[0].to_f puts ans