local bls, brs = bit.lshift, bit.rshift local Heapq = {} Heapq.create = function(self, lt) self.lt = lt self.cnt = 0 self.t = {} end Heapq.push = function(self, v) local hqlt = self.lt local hqt = self.t local c = self.cnt + 1 self.cnt = c hqt[c] = v while 1 < c do local p = brs(c, 1) if hqlt(hqt[c], hqt[p]) then hqt[c], hqt[p] = hqt[p], hqt[c] c = p else break end end end Heapq.pop = function(self) local hqlt = self.lt local hqt = self.t local ret = hqt[1] local c = self.cnt hqt[1] = hqt[c] c = c - 1 self.cnt = c local p = 1 while true do local d1, d2 = p * 2, p * 2 + 1 if c < d1 then break elseif c < d2 then if hqlt(hqt[d1], hqt[p]) then hqt[d1], hqt[p] = hqt[p], hqt[d1] end break else if hqlt(hqt[d1], hqt[d2]) then if hqlt(hqt[d1], hqt[p]) then hqt[d1], hqt[p] = hqt[p], hqt[d1] p = d1 else break end else if hqlt(hqt[d2], hqt[p]) then hqt[d2], hqt[p] = hqt[p], hqt[d2] p = d2 else break end end end end return ret end Heapq.new = function(lt) local obj = {} setmetatable(obj, {__index = Heapq}) obj:create(lt) return obj end local n = io.read("*n") local p, q = {}, {} for i = 1, n do p[i] = io.read("*n") / 1000.0 end for i = 1, n do q[i] = io.read("*n") / 100.0 end local chance = {} for i = 1, n do chance[i] = p[i] * q[i] end local hq = Heapq.new(function(x, y) return chance[x] > chance[y] end) for i = 1, n do hq:push(i) end local ret = 0 local lim = 200000 for i = 1, lim do local idx = hq:pop() ret = ret + i * chance[idx] chance[idx] = chance[idx] * (1 - q[idx]) hq:push(idx) end print(string.format("%.10f", ret))