line = gets.chomp! abort "format error" unless line=~/^\d+$/ n = line.to_i abort "1<=n<=100" unless 1<=n && n<=100 rperf = [nil] n.times{ line = gets.chomp! abort "format error" unless line=~/^\d+$/ rperf << line.to_r } abort "EOF" unless !gets def large_f(n) return Rational(4649384761075759,20266198323167216) if n == :inf Rational(Math.sqrt((0..n).reduce{|s,i| s+0.81r**i}) , (0..n).reduce{|s,i| s+0.9r**i}) end def small_f(n) Rational((large_f(n)-large_f(:inf)) , (large_f(1)-large_f(:inf)))*1200 end def g(x) 2.0**(x/800.0) end def g_inv(y) 800.0*Math.log2(y) end def rating(n, rperf) g_inv(Rational((0..n).reduce{|s,i| s+g(rperf[i])*(0.9r**i)} , (0..n).reduce{|s,i| s+0.9r**i})) - small_f(n) end p rating(n, rperf).round