local mma = math.max local mfl, mce, mmi = math.floor, math.ceil, math.min local AvlTree = {} AvlTree.save = function(self, n) self.svroot = self.root self.box = {} for i = 1, n + 1 do self.svv[i], self.svp[i] = self.v[i], self.p[i] self.svlc[i], self.svrc[i] = self.lc[i], self.rc[i] self.svl[i], self.svr[i] = self.l[i], self.r[i] end end AvlTree.load = function(self, n) self.root = self.svroot self.box = {} for i = 1, n + 1 do self.v[i], self.p[i] = self.svv[i], self.svp[i] self.lc[i], self.rc[i] = self.svlc[i], self.svrc[i] self.l[i], self.r[i] = self.svl[i], self.svr[i] end end AvlTree.makenode = function(self, val, parent) local i = self.box[#self.box] table.remove(self.box) self.v[i], self.p[i] = val, parent self.lc[i], self.rc[i], self.l[i], self.r[i] = 0, 0, 1, 1 return i end AvlTree.clear = function(self, n) self.root = 1 self.box = {} for i = n + 1, 2, -1 do table.insert(self.box, i) end self.svv, self.svlc, self.svrc, self.svl, self.svr, self.svp = {}, {}, {}, {}, {}, {} -- value, leftCount, rightCount, left, right, parent self.v, self.lc, self.rc, self.l, self.r, self.p = {}, {}, {}, {}, {}, {} for i = 1, n + 1 do self.v[i], self.p[i] = 0, 1 self.lc[i], self.rc[i], self.l[i], self.r[i] = 0, 0, 1, 1 end end AvlTree.create = function(self, lessthan, n) self.lessthan = lessthan self:clear(n) end AvlTree.recalcCount = function(self, i) if 1 < i then local kl, kr = self.l[i], self.r[i] if 1 < kl then self.lc[i] = 1 + mma(self.lc[kl], self.rc[kl]) else self.lc[i] = 0 end if 1 < kr then self.rc[i] = 1 + mma(self.lc[kr], self.rc[kr]) else self.rc[i] = 0 end end end AvlTree.recalcCountAll = function(self, i) while 1 < i do self:recalcCount(i) i = self.p[i] end end AvlTree.rotR = function(self, child, parent) local granp = self.p[parent] self.r[child], self.l[parent] = parent, self.r[child] self.p[child], self.p[parent] = granp, child self.p[self.l[parent]] = parent if 1 < granp then if self.l[granp] == parent then self.l[granp] = child else self.r[granp] = child end else self.root = child end self:recalcCountAll(parent) end AvlTree.rotL = function(self, child, parent) local granp = self.p[parent] self.l[child], self.r[parent] = parent, self.l[child] self.p[child], self.p[parent] = granp, child self.p[self.r[parent]] = parent if 1 < granp then if self.r[granp] == parent then self.r[granp] = child else self.l[granp] = child end else self.root = child end self:recalcCountAll(parent) end AvlTree.push = function(self, val) if self.root <= 1 then self.root = self:makenode(val, 1) return end local pos = self.root while true do if self.lessthan(val, self.v[pos]) then if 1 < self.l[pos] then pos = self.l[pos] else self.l[pos] = self:makenode(val, pos) pos = self.l[pos] break end else if 1 < self.r[pos] then pos = self.r[pos] else self.r[pos] = self:makenode(val, pos) pos = self.r[pos] break end end end while 1 < pos do local child, parent = pos, self.p[pos] if parent <= 1 then break end self:recalcCount(parent) local lcp_m_rcp = self.lc[parent] - self.rc[parent] if lcp_m_rcp % 2 ~= 0 then -- 1 or -1 pos = parent elseif lcp_m_rcp == 2 then if self.lc[child] - 1 == self.rc[child] then self:rotR(child, parent) else local cr = self.r[child] self:rotL(cr, child) self:rotR(cr, parent) end pos = 1 elseif lcp_m_rcp == -2 then if self.rc[child] - 1 == self.lc[child] then self:rotL(child, parent) else local cl = self.l[child] self:rotR(cl, child) self:rotL(cl, parent) end pos = 1 else pos = 1 end end end AvlTree.rmsub = function(self, node) while 1 < node do self:recalcCount(node) if self.lc[node] == self.rc[node] then node = self.p[node] elseif self.lc[node] + 1 == self.rc[node] then self:recalcCountAll(self.p[node]) node = 1 else if self.lc[self.r[node]] == self.rc[self.r[node]] then self:rotL(self.r[node], node) node = 1 elseif self.lc[self.r[node]] + 1 == self.rc[self.r[node]] then local nr = self.r[node] self:rotL(nr, node) node = nr else local nrl = self.l[self.r[node]] self:rotR(nrl, self.r[node]) self:rotL(nrl, node) node = nrl end end end end AvlTree.pop = function(self) local node = self.root while 1 < self.l[node] do node = self.l[node] end local v = self.v[node] local kp = self.p[node] self.p[self.r[node]] = kp if 1 < kp then self.l[kp] = self.r[node] self:rmsub(kp) else self.root = self.r[node] end table.insert(self.box, node) return v end AvlTree.new = function(lessthan, n) local obj = {} setmetatable(obj, {__index = AvlTree}) obj:create(lessthan, n) return obj end local n = io.read("*n", "*l") local a, b = {}, {} do local s = io.read() for g in s:gmatch("%d+") do table.insert(a, tonumber(g)) end s = io.read() for g in s:gmatch("%d+") do table.insert(b, tonumber(g)) end end local val, used = {}, {} local function initialize() for i = 1, n do val[i] = a[i] used[i] = 0 end end initialize() local function ltfunc(x, y) if val[x] == val[y] then return used[x] < used[y] else return val[x] < val[y] end end local avl = AvlTree.new(ltfunc, n) for i = 1, n do avl:push(i) end avl:save(n) local ret = 0 for boffset = 0, n - 1 do initialize() avl:load(n) for i = 1, n do local bp = i + boffset if n < bp then bp = bp - n end local apos = avl:pop() used[apos] = used[apos] + 1 val[apos] = val[apos] + mfl(b[bp] / 2) avl:push(apos) end local max = used[1] for i = 2, n do max = mma(max, used[i]) end ret = boffset == 0 and max or mmi(max, ret) end print(ret)