#848129 (C++17) No.2242 Cities and Teleporters

• 問題: No.2242 Cities and Teleporters
• ユーザー: NyaanNyaan
• 提出日時: 2023-03-10 23:20:03
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: WA
• 実行時間: -
• コード長: 12,755 bytes
• コンパイル時間: 3,145 ms
• コンパイル使用メモリ: 286,504 KB
• 最終ジャッジ日時: 2025-02-11 09:17:01
• ジャッジサーバーID （参考情報）: judge5 / judge1

ファイルパターン	結果
other	AC * 10 WA * 16

ソースコード

/**
 *  date : 2023-03-10 23:19:58
 */

#define NDEBUG
using namespace std;

// intrinstic
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

// 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 <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  P(Args... args) : pair<T, U>(args...) {}

  using pair<T, U>::first;
  using pair<T, U>::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 <typename S>
  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 <typename S>
  P operator*(const S &r) const {
    return P(*this) *= r;
  }
  P operator-() const { return P{-first, -second}; }
};

using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;

constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;

template <typename T>
int sz(const T &t) {
  return t.size();
}

template <typename T, typename U>
inline bool amin(T &x, U y) {
  return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
  return (x < y) ? (x = y, true) : false;
}

template <typename T>
inline T Max(const vector<T> &v) {
  return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
  return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
  return accumulate(begin(v), end(v), 0LL);
}

template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &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 <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
  return make_pair(t, u);
}

template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
  vector<T> 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 <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

template <typename F>
vector<int> mkord(int N,F f) {
  vector<int> ord(N);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}

template <typename T>
vector<int> mkinv(vector<T> &v) {
  int max_val = *max_element(begin(v), end(v));
  vector<int> inv(max_val + 1, -1);
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}

vector<int> mkiota(int n) {
  vector<int> ret(n);
  iota(begin(ret), end(ret), 0);
  return ret;
}

template <typename T>
T mkrev(const T &v) {
  T w{v};
  reverse(begin(w), end(w));
  return w;
}

template <typename T>
bool nxp(vector<T> &v) {
  return next_permutation(begin(v), end(v));
}

template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;

}  // 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 <typename T>
inline int gbit(const T &a, int i) {
  return (a >> i) & 1;
}
template <typename T>
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 <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
  os << p.first << " " << p.second;
  return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  int s = (int)v.size();
  for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
  return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &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 <typename T, class... U>
void in(T &t, U &...u) {
  cin >> t;
  in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}

void outr() {}
template <typename T, class... U, char sep = ' '>
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 <typename T>
struct BinaryLifting {
  using Data = pair<int, T>;

  const int N, LOG;
  vector<vector<Data>> 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<Data>(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<uint64_t, Data> 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<uint64_t, Data> 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 <typename T>
using Doubling = BinaryLifting<T>;

/**
 * @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<int> 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();
}