/* #region Head */ // #include #include #include #include #include // assert.h #include // math.h #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i)) #define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i)) #define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i)) #define TREPD(T, i, m, n, d) \ for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d)) #define TREPMD(T, i, m, n, d) \ for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d)) #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) \ for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) \ for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define ISIZE(x) ((int)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, const vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, const vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, array &arr) { // array 入力 REP(i, 0, SIZE(arr)) is >> arr[i]; return is; } template ostream &operator<<(ostream &os, const array &arr) { // array 出力 (for dump) os << "{"; REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, const pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, const T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, const map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, const um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, const set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // tuple 出力 template ostream &operator<<(ostream &os, tuple &a) { if constexpr (N < std::tuple_size_v>) { os << get(a); if constexpr (N + 1 < std::tuple_size_v>) { os << ' '; } else if constexpr (end_line) { os << '\n'; } return operator<< (os, a); } return os; } template void print_tuple(tuple &a) { operator<< <0, true>(std::cout, a); } void pprint() { std::cout << endl; } template void pprint(Head &&head, Tail &&...tail) { std::cout << head; if (sizeof...(Tail) > 0) std::cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&...tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifndef MYLOCAL #undef DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" \ << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ assert((std::cin >> __VA_ARGS__)); template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), std::cin.tie(nullptr), std::cout.tie(nullptr); std::cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) std::cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { std::cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { std::cout << (p ? "YES" : "NO") << endl; } template constexpr void operator--(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]--; } template constexpr void operator++(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]++; } /* #endregion */ // #include // using namespace atcoder; template struct Cumulative1D { using F = function; int n; vc cum; F add, subtract; Cumulative1D(const vc &data, const int n, F add, F subtract) : n(n), cum(n), add(add), subtract(subtract) { REP(i, 0, n) { if (i == 0) { cum[i] = data[i]; } else { cum[i] = add(cum[i - 1], data[i]); } } } Cumulative1D() = default; // 0-indexed 半開区間 T query(const int l, const int r) const { assert(0 <= l && l < n); assert(0 < r && r <= n); T ret = cum[r - 1]; if (l > 0) ret = subtract(ret, cum[l - 1]); return ret; } }; template struct Cum { Cumulative1D cum; Cum(const vc &data, const int n) { // : cum(data, n, Cum::add, Cum::subtract) auto add = [](T a, T b) -> T { return a + b; }; auto subtract = [](T a, T b) -> T { return a - b; }; cum = Cumulative1D(data, n, add, subtract); } Cum() = default; // 0-indexed 半開区間 T query(const int l, const int r) const { if (l >= r) return 0; return cum.query(l, r); } }; template struct CumXor { Cumulative1D cum; CumXor(const vc &data, const int n) { // : cum(data, n, Cum::add, Cum::subtract) auto add = [](T a, T b) -> T { return a ^ b; }; auto subtract = [](T a, T b) -> T { return a ^ b; }; cum = Cumulative1D(data, n, add, subtract); } CumXor() = default; // 0-indexed 半開区間 T query(const int l, const int r) const { if (l >= r) return 0; return cum.query(l, r); } }; // Problem void solve() { VAR(ll, n); vll x(n), a(n); cin >> x, a; // x 昇順にソートする vc pairs(n); REP(i, 0, n) pairs[i] = {x[i], a[i]}; sort(ALL(pairs)); // vll data_x(n); vll data_a(n); REP(i, 0, n) { // data_x[i] = pairs[i].first; data_a[i] = pairs[i].second; } // 区間に分けるのが最善っぽい? // Cum cum_x(data_x, n); CumXor cum_a(data_a, n); auto cost = [&x](const ll l, const ll r) -> ll { if (r - l <= 1) { return 0; } return x[r - 1] - x[l]; }; // dp[i] := i番目までを使ったときの最小値 vll dp(n + 1, INF); dp[0] = 0; REP(i, 0, n) { REPM(i_prev, 0, i) { const ll val = dp[i_prev] + cum_a.query(i_prev, i + 1) + cost(i_prev, i + 1); // dump(i, i_prev, val, cum_a.query(i_prev, i + 1), // cost(i_prev, i + 1)); chmin(dp[i + 1], val); } // dump(i, dp); } pprint(dp.back()); // // xor は順番は関係ないので,C を最小化すれば良い. // // 左右からマージすることを繰り返せば良いので,中央で合流する. // // xor だけ先に計算する // ll s = 0; // for (const auto &ai : a) { // s ^= ai; // } // ll c = 0; // sort(ALL(x)); // deque que; // for (const auto &xi : x) { // que.push_back((xi)); // } // while (que.size() > 1ul) { // // 先頭2個 // const ll fst = que.front(); // que.pop_front(); // const ll snd = que.front(); // que.pop_front(); // c += abs(snd - fst); // que.push_front(snd); // // あれば末尾2個 // if (que.size() > 1ul) { // const ll fst = que.back(); // que.pop_back(); // const ll snd = que.back(); // que.pop_back(); // c += abs(snd - fst); // que.push_back(snd); // } // } // pprint(s + c); } // entry point int main() { solve(); return 0; }