/** * date : 2021-12-17 01:31:57 */ #define NDEBUG using namespace std; // intrinstic #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template using V = vector; template using VV = vector>; using vi = vector; using vl = vector; using vd = V; using vs = V; using vvi = vector>; using vvl = vector>; template struct P : pair { template P(Args... args) : pair(args...) {} using pair::first; using pair::second; T &x() { return first; } const T &x() const { return first; } U &y() { return second; } const U &y() const { return second; } P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } P operator*(int r) const { return {first * r, second * r}; } P operator-() const { return P{-first, -second}; } }; using pl = P; using pi = P; using vp = V; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template int sz(const T &t) { return t.size(); } template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline T Max(const vector &v) { return *max_element(begin(v), end(v)); } template inline T Min(const vector &v) { return *min_element(begin(v), end(v)); } template inline long long Sum(const vector &v) { return accumulate(begin(v), end(v), 0LL); } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template pair mkp(const T &t, const U &u) { return make_pair(t, u); } template vector mkrui(const vector &v, bool rev = false) { vector ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N, F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector mkinv(vector &v) { int max_val = *max_element(begin(v), end(v)); vector inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; } template inline int gbit(const T &a, int i) { return (a >> i) & 1; } template inline void sbit(T &a, int i, bool b) { if (gbit(a, i) != b) a ^= T(1) << i; } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &... u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &... u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &... u) { cout << t; outr(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug namespace DebugImpl { template struct is_specialize : false_type {}; template struct is_specialize< U, typename conditional::type> : true_type {}; template struct is_specialize< U, typename conditional::type> : true_type {}; template struct is_specialize::value, void>> : true_type { }; void dump(const char& t) { cerr << t; } void dump(const string& t) { cerr << t; } void dump(const bool& t) { cerr << (t ? "true" : "false"); } template ::value, nullptr_t> = nullptr> void dump(const U& t) { cerr << t; } template void dump(const T& t, enable_if_t::value>* = nullptr) { string res; if (t == Nyaan::inf) res = "inf"; if constexpr (is_signed::value) { if (t == -Nyaan::inf) res = "-inf"; } if constexpr (sizeof(T) == 8) { if (t == Nyaan::infLL) res = "inf"; if constexpr (is_signed::value) { if (t == -Nyaan::infLL) res = "-inf"; } } if (res.empty()) res = to_string(t); cerr << res; } template void dump(const pair&); template void dump(const pair&); template void dump(const T& t, enable_if_t::value>* = nullptr) { cerr << "[ "; for (auto it = t.begin(); it != t.end();) { dump(*it); cerr << (++it == t.end() ? "" : ", "); } cerr << " ]"; } template void dump(const pair& t) { cerr << "( "; dump(t.first); cerr << ", "; dump(t.second); cerr << " )"; } template void dump(const pair& t) { cerr << "[ "; for (int i = 0; i < t.second; i++) { dump(t.first[i]); cerr << (i == t.second - 1 ? "" : ", "); } cerr << " ]"; } void trace() { cerr << endl; } template void trace(Head&& head, Tail&&... tail) { cerr << " "; dump(head); if (sizeof...(tail) != 0) cerr << ","; trace(forward(tail)...); } } // namespace DebugImpl #ifdef NyaanDebug #define trc(...) \ do { \ cerr << "## " << #__VA_ARGS__ << " = "; \ DebugImpl::trace(__VA_ARGS__); \ } while (0) #else #define trc(...) (void(0)) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define fi first #define se second #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // template struct SquareRootDecomposition { int N; vector sq; MERGE merge; typename block::T UNIT; SquareRootDecomposition(int N_, MERGE merge_, typename block::T UNIT_) : N(N_), sq(N / B + 1), merge(merge_), UNIT(UNIT_) { for(int i = 0; i < (int)sq.size(); i++) sq[i].init(i); } void update(int l, int r, typename block::S x) { if (l / B == r / B) { sq[l / B].update_part(l % B, r % B, x); } else { sq[l / B].update_part(l % B, B, x); for (int i = l / B + 1; i < r / B; i++) sq[i].update_all(x); sq[r / B].update_part(0, r % B, x); } } typename block::T query(int l, int r) { if (l / B == r / B) return sq[l / B].query_part(l % B, r % B); typename block::T ret = UNIT; ret = merge(ret, sq[l / B].query_part(l % B, B)); for (int i = l / B + 1; i < r / B; i++) ret = merge(ret, sq[i].query_all()); ret = merge(ret, sq[r / B].query_part(0, r % B)); return ret; } }; /** * @brief 平方分割 * @docs docs/data-structure/sqrt-dec.md */ using namespace Nyaan; /* constexpr int B = 250; int memo[252525]; auto mrg = [](int a, int b) { return a + b; }; struct block { // S 作用素の型 T 要素の型 using S = int; using T = int; int mp[512]; int laz; int i; block() {} // i ... 何個目のブロックか // i * B + j ... (jをブロック内のidxとして)全体でのidx int idx(int j) const { return i * B + j; } // 変数とブロックの初期化を忘れない! void init(int _) { i = _; laz = 0; mp[0] = B; } void apply() { rep(j, B) memo[idx(j)] += laz; laz = 0; } void build() { apply(); memset(mp, 0, sizeof(mp)); rep(j, B) mp[memo[idx(j)] & 511]++; } void update_all(S x) { laz += x; } void update_part(int l, int r, S x) { reg(j, l, r) memo[idx(j)] += x; build(); } T query_all() { return mp[-laz & 511]; } T query_part(int l, int r) { apply(); int res = 0; reg(j, l, r) res += memo[idx(j)] == 0; return res; } }; */ #pragma GCC optimize("O3,unroll-loops") #pragma GCC target("avx2") int memo[252525]; void add(int a, int b) { for (int i = a; i < b; i++) memo[i]++; } void dec(int a, int b) { for (int i = a; i < b; i++) memo[i]--; } int query(int b) { int ans = 0; for (int i = 0; i < b; i++) ans += memo[i] == 0; return ans; } void Nyaan::solve() { inl(N); vi a(N), b(N); in(a, b); // SquareRootDecomposition sq(N + 2, mrg, 0); auto mapping = [&](vi _a) { vvi res(4 * TEN(5) + 2); rep(i, sz(_a)) { res[_a[i]].push_back(i); } return res; }; auto mpa = mapping(a); auto mpb = mapping(b); // i より左で、x が mp に出現する位置 auto search = [&](int x, int i, bool isa) { vvi& mp = (isa ? mpa : mpb); auto it = lower_bound(all(mp[x]), i); if (it == begin(mp[x])) return -1; return *prev(it); }; vi lasta(404040, -inf), lastb(404040, -inf); vi lasta2(404040, -inf), lastb2(404040, -inf); auto erase = [&](int x, bool isa) { auto& last = (isa ? lasta : lastb); auto& last2 = (isa ? lasta2 : lastb2); if (last[x] != -inf) { dec(last[x] + 1, last2[x] + 1); last[x] = -inf; } }; auto insert = [&](int x, int i, bool isa) { auto& last = (isa ? lasta : lastb); auto& last2 = (isa ? lasta2 : lastb2); if (last[x] != -inf) erase(x, isa); int s = search(x, i + 1, isa); last[x] = s; last2[x] = i; trc(x, last[x], last2[x]); add(last[x] + 1, last2[x] + 1); }; vi ok; ll ans = 0; rep(i, N) { trc(i); insert(a[i], i, false); insert(b[i], i, true); erase(a[i], true); erase(b[i], false); ans += query(i + 1); } out(ans); }