N = gets.to_i perfs = N.times.map { gets.to_i } def lf(n) a = 0 b = 0 1.upto(n) do |i| a += 0.81 ** i b += 0.9 ** i end Rational(Math.sqrt(a), b) end def f(n) a = Math.sqrt(Rational(0.81, 0.19)) b = Rational(0.9, 0.1) inf_f = Rational(a, b) Rational(lf(n) - inf_f, lf(1) - inf_f) * 1200 end def g(x) 2.0 ** Rational(x, 800) end def rg(x) 800 * Math.log2(x) end a = 0 b = 0 1.upto(N) do |i| a += g(perfs[i - 1]) * (0.9 ** i) b += 0.9 ** i end rate = rg(Rational(a, b)) - f(N) puts rate.ceil