/** * date : 2023-03-10 23:19:58 */ #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; 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; } template P &operator*=(const S &r) { first *= r, second *= r; 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; } template P operator*(const S &r) const { return P(*this) *= 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; } vector mkiota(int n) { vector ret(n); iota(begin(ret), end(ret), 0); return ret; } template T mkrev(const T &v) { T w{v}; reverse(begin(w), end(w)); return w; } template bool nxp(vector &v) { return next_permutation(begin(v), end(v)); } template using minpq = priority_queue, greater>; } // 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; } istream &operator>>(istream &is, __int128_t &x) { string S; is >> S; x = 0; int flag = 0; for (auto &c : S) { if (c == '-') { flag = true; continue; } x *= 10; x += c - '0'; } if (flag) x = -x; return is; } istream &operator>>(istream &is, __uint128_t &x) { string S; is >> S; x = 0; for (auto &c : S) { x *= 10; x += c - '0'; } return is; } ostream &operator<<(ostream &os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } ostream &operator<<(ostream &os, __uint128_t x) { if (x == 0) return os << 0; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } 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 #ifdef NyaanDebug #define trc(...) (void(0)) #else #define trc(...) (void(0)) #endif #ifdef NyaanLocal #define trc2(...) (void(0)) #else #define trc2(...) (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 BinaryLifting { using Data = pair; const int N, LOG; vector> table; T I; BinaryLifting(int n, uint64_t lim, const T I_ = T()) : N(n), LOG(__lg(lim) + 2), I(I_) { table.resize(n, vector(LOG, Data(-1, I))); } void set_next(int k, int nxt, const T& t) { table[k][0] = Data(nxt, t); } void build() { for (int k = 0; k + 1 < LOG; ++k) for (int i = 0; i < N; ++i) { int pre = table[i][k].first; if (pre == -1) { table[i][k + 1] = table[i][k]; } else { table[i][k + 1].first = table[pre][k].first; table[i][k + 1].second = table[i][k].second + table[pre][k].second; } } } // from i, move t times Data query(int i, uint64_t t) const { T d = I; for (int k = LOG - 1; k >= 0; k--) { if ((t >> k) & 1) { d = d + table[i][k].second; i = table[i][k].first; } if (i == -1) break; } return Data(i, d); } // query(i, pow(2, k)) inline Data query_pow(int i, int k) const { return table[i][k]; } // assuming graph is DAG ( edge(u, v) <-> u < v ) // find max j | j <= t, path from i to j exists inline pair binary_search(int i, int t) { int thres = i; T d = I; uint64_t times = 0; for (int k = LOG - 1; k >= 0; k--) { int nxt = table[thres][k].first; if (nxt != -1 && nxt <= t) { d = d + table[thres][k].second; thres = nxt; times += 1LL << k; } } return make_pair(times, Data(thres, d)); } // assuming graph is DAG ( edge(u, v) <-> u < v ) // find min j | j >= t, path from i to j exists inline pair binary_search2(int i, int t) { int thres = i; T d = I; uint64_t times = 0; for (int k = LOG - 1; k >= 0; k--) { int nxt = table[thres][k].first; if (nxt != -1 && nxt >= t) { d = d + table[thres][k].second; thres = nxt; times += 1LL << k; } } return make_pair(times, Data(thres, d)); } }; template using Doubling = BinaryLifting; /** * @brief Binary Lifting(ダブリング) * @docs docs/misc/doubling.md */ using namespace Nyaan; void q() { inl(N); vl H(N), T(N); in(H, T); inl(Q); vp qs(Q); in(qs); each2(u, v, qs) u--, v--; { vl xs{H}; each(t, T) xs.push_back(t); xs = mkuni(xs); each(h, H) h = lb(xs, h); each(t, T) t = lb(xs, t); } { auto ord = mkord(N, [&](int i, int j) { if (T[i] == T[j]) return H[i] > H[j]; return T[i] < T[j]; }); auto inv = mkinv(ord); vl nh(N), nt(N); rep(i, N) nh[i] = H[ord[i]], nt[i] = T[ord[i]]; H = nh, T = nt; each2(u, v, qs) u = inv[u], v = inv[v]; } trc(H); trc(T); trc(qs); vl can(N, -1); { vp dist; rep(i, N) dist.emplace_back(H[i], T[i]); sort(all(dist)); rep(i, N - 1) amax(dist[i + 1].se, dist[i].se); rep(i, N) { int j = ub(dist, pl{T[i], infLL}) - 1; if (j != -1) can[i] = dist[j].se; } trc(can); rep(i, N) { if (can[i] == -1) continue; int k = ub(T, can[i]) - 1; can[i] = k; if (can[i] == i) can[i] = -1; } } trc(can); Doubling db(2 * N, N * 10, 0); rep(i, N) { if (can[i] != -1) db.set_next(i, can[i], 1); } each2(u, v, qs) { trc(u, v); if(T[u] >= H[v]) { out(1); continue; } auto d=db.binary_search2(u, lb(T, H[v])); trc(d); if(d.fi==0){ out(-1); }else{ out(d.fi+1); } } } void Nyaan::solve() { int t = 1; // in(t); while (t--) q(); }