結果

問題 No.3314 Library Rearrangement
コンテスト
ユーザー NyaanNyaan
提出日時 2025-10-24 22:16:39
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,008 ms / 3,000 ms
コード長 16,882 bytes
コンパイル時間 2,988 ms
コンパイル使用メモリ 284,812 KB
実行使用メモリ 16,124 KB
最終ジャッジ日時 2025-10-24 22:17:11
合計ジャッジ時間 28,902 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 39
権限があれば一括ダウンロードができます

ソースコード

diff #

/**
 * date   : 2025-10-24 22:16:33
 * author : Nyaan
 */

#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 <tr2/dynamic_bitset>
#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>
using minpq = priority_queue<T, vector<T>, greater<T>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  constexpr 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(T &v) {
  return next_permutation(begin(v), end(v));
}

// 返り値の型は入力の T に依存
// i 要素目 : [0, a[i])
template <typename T>
vector<vector<T>> product(const vector<T> &a) {
  vector<vector<T>> ret;
  vector<T> v;
  auto dfs = [&](auto rc, int i) -> void {
    if (i == (int)a.size()) {
      ret.push_back(v);
      return;
    }
    for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back();
  };
  dfs(dfs, 0);
  return ret;
}

// F : function(void(T&)), mod を取る操作
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I, const function<void(T &)> &f) {
  T res = I;
  for (; n; f(a = a * a), n >>= 1) {
    if (n & 1) f(res = res * a);
  }
  return res;
}
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I = T{1}) {
  return Power(a, n, I, function<void(T &)>{[](T &) -> void {}});
}

template <typename T>
T Rev(const T &v) {
  T res = v;
  reverse(begin(res), end(res));
  return res;
}

template <typename T>
vector<T> Transpose(const vector<T> &v) {
  using U = typename T::value_type;
  if(v.empty()) return {};
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      res[j][i] = v[i][j];
    }
  }
  return res;
}

template <typename T>
vector<T> Rotate(const vector<T> &v, int clockwise = true) {
  using U = typename T::value_type;
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      if (clockwise) {
        res[W - 1 - j][i] = v[i][j];
      } else {
        res[j][H - 1 - i] = v[i][j];
      }
    }
  }
  return res;
}

}  // namespace Nyaan


// bit operation

namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return __builtin_popcountll(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...);
}

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(); }


//


struct AngelBeats {
  using i64 = long long;
  static constexpr i64 INF = numeric_limits<i64>::max() / 2.1;

  struct alignas(32) Node {
    i64 sum = 0, g1 = 0, l1 = 0;
    i64 g2 = -INF, gc = 1, l2 = INF, lc = 1, add = 0;
  };

  vector<Node> v;
  i64 n, log;

  AngelBeats() {}
  AngelBeats(int _n) : AngelBeats(vector<i64>(_n)) {}
  AngelBeats(const vector<i64>& vc) {
    n = 1, log = 0;
    while (n < (int)vc.size()) n <<= 1, log++;
    v.resize(2 * n);
    for (i64 i = 0; i < (int)vc.size(); ++i) {
      v[i + n].sum = v[i + n].g1 = v[i + n].l1 = vc[i];
    }
    for (i64 i = n - 1; i; --i) update(i);
  }

  void range_chmin(int l, int r, i64 x) { inner_apply<1>(l, r, x); }
  void range_chmax(int l, int r, i64 x) { inner_apply<2>(l, r, x); }
  void range_add(int l, int r, i64 x) { inner_apply<3>(l, r, x); }
  void range_update(int l, int r, i64 x) { inner_apply<4>(l, r, x); }
  i64 range_min(int l, int r) { return inner_fold<1>(l, r); }
  i64 range_max(int l, int r) { return inner_fold<2>(l, r); }
  i64 range_sum(int l, int r) { return inner_fold<3>(l, r); }

 private:
  void update(int k) {
    Node& p = v[k];
    Node& l = v[k * 2 + 0];
    Node& r = v[k * 2 + 1];

    p.sum = l.sum + r.sum;

    if (l.g1 == r.g1) {
      p.g1 = l.g1;
      p.g2 = max(l.g2, r.g2);
      p.gc = l.gc + r.gc;
    } else {
      bool f = l.g1 > r.g1;
      p.g1 = f ? l.g1 : r.g1;
      p.gc = f ? l.gc : r.gc;
      p.g2 = max(f ? r.g1 : l.g1, f ? l.g2 : r.g2);
    }

    if (l.l1 == r.l1) {
      p.l1 = l.l1;
      p.l2 = min(l.l2, r.l2);
      p.lc = l.lc + r.lc;
    } else {
      bool f = l.l1 < r.l1;
      p.l1 = f ? l.l1 : r.l1;
      p.lc = f ? l.lc : r.lc;
      p.l2 = min(f ? r.l1 : l.l1, f ? l.l2 : r.l2);
    }
  }

  void push_add(int k, i64 x) {
    Node& p = v[k];
    p.sum += x << (log + __builtin_clz(k) - 31);
    p.g1 += x;
    p.l1 += x;
    if (p.g2 != -INF) p.g2 += x;
    if (p.l2 != INF) p.l2 += x;
    p.add += x;
  }
  void push_min(int k, i64 x) {
    Node& p = v[k];
    p.sum += (x - p.g1) * p.gc;
    if (p.l1 == p.g1) p.l1 = x;
    if (p.l2 == p.g1) p.l2 = x;
    p.g1 = x;
  }
  void push_max(int k, i64 x) {
    Node& p = v[k];
    p.sum += (x - p.l1) * p.lc;
    if (p.g1 == p.l1) p.g1 = x;
    if (p.g2 == p.l1) p.g2 = x;
    p.l1 = x;
  }
  void push(int k) {
    Node& p = v[k];
    if (p.add != 0) {
      push_add(k * 2 + 0, p.add);
      push_add(k * 2 + 1, p.add);
      p.add = 0;
    }
    if (p.g1 < v[k * 2 + 0].g1) push_min(k * 2 + 0, p.g1);
    if (p.l1 > v[k * 2 + 0].l1) push_max(k * 2 + 0, p.l1);

    if (p.g1 < v[k * 2 + 1].g1) push_min(k * 2 + 1, p.g1);
    if (p.l1 > v[k * 2 + 1].l1) push_max(k * 2 + 1, p.l1);
  }

  void subtree_chmin(int k, i64 x) {
    if (v[k].g1 <= x) return;
    if (v[k].g2 < x) {
      push_min(k, x);
      return;
    }
    push(k);
    subtree_chmin(k * 2 + 0, x);
    subtree_chmin(k * 2 + 1, x);
    update(k);
  }

  void subtree_chmax(int k, i64 x) {
    if (x <= v[k].l1) return;
    if (x < v[k].l2) {
      push_max(k, x);
      return;
    }
    push(k);
    subtree_chmax(k * 2 + 0, x);
    subtree_chmax(k * 2 + 1, x);
    update(k);
  }

  template <int cmd>
  inline void _apply(int k, i64 x) {
    if constexpr (cmd == 1) subtree_chmin(k, x);
    if constexpr (cmd == 2) subtree_chmax(k, x);
    if constexpr (cmd == 3) push_add(k, x);
    if constexpr (cmd == 4) subtree_chmin(k, x), subtree_chmax(k, x);
  }

  template <int cmd>
  void inner_apply(int l, int r, i64 x) {
    if (l == r) return;
    l += n, r += n;
    for (int i = log; i >= 1; i--) {
      if (((l >> i) << i) != l) push(l >> i);
      if (((r >> i) << i) != r) push((r - 1) >> i);
    }
    {
      int l2 = l, r2 = r;
      while (l < r) {
        if (l & 1) _apply<cmd>(l++, x);
        if (r & 1) _apply<cmd>(--r, x);
        l >>= 1;
        r >>= 1;
      }
      l = l2;
      r = r2;
    }
    for (int i = 1; i <= log; i++) {
      if (((l >> i) << i) != l) update(l >> i);
      if (((r >> i) << i) != r) update((r - 1) >> i);
    }
  }

  template <int cmd>
  inline i64 e() {
    if constexpr (cmd == 1) return INF;
    if constexpr (cmd == 2) return -INF;
    return 0;
  }

  template <int cmd>
  inline void op(i64& a, const Node& b) {
    if constexpr (cmd == 1) a = min(a, b.l1);
    if constexpr (cmd == 2) a = max(a, b.g1);
    if constexpr (cmd == 3) a += b.sum;
  }

  template <int cmd>
  i64 inner_fold(int l, int r) {
    if (l == r) return e<cmd>();
    l += n, r += n;
    for (int i = log; i >= 1; i--) {
      if (((l >> i) << i) != l) push(l >> i);
      if (((r >> i) << i) != r) push((r - 1) >> i);
    }
    i64 lx = e<cmd>(), rx = e<cmd>();
    while (l < r) {
      if (l & 1) op<cmd>(lx, v[l++]);
      if (r & 1) op<cmd>(rx, v[--r]);
      l >>= 1;
      r >>= 1;
    }
    if constexpr (cmd == 1) lx = min(lx, rx);
    if constexpr (cmd == 2) lx = max(lx, rx);
    if constexpr (cmd == 3) lx += rx;
    return lx;
  }
};

/**
 * @brief Range Chmin Chmax Add Update Range Min Max Sum Segment Tree Beats!
 * @docs docs/segment-tree/segment-tree-beats.md
 */


using namespace Nyaan;

void q() {
  inl(N, K, Q);
  vl A(N);
  in(A);
  V<tuple<ll, ll, ll>> us, qs;
  rep(i, K) {
    inl(l, r, x);
    --l;
    us.emplace_back(l, r, x);
  }
  rep(i, Q) {
    inl(l, r, x);
    --l;
    qs.emplace_back(l, r, x);
  }

  vl ng(Q, -1), ok(Q, K + 1);
  while (true) {
    vp v;
    rep(i, Q) {
      if (ng[i] + 1 < ok[i]) {
        int m = (ng[i] + ok[i]) / 2;
        v.emplace_back(m, i);
      }
    }
    if (v.empty()) break;

    sort(all(v)), reverse(all(v));
    AngelBeats beats{A};
    rep(k, K + 1) {
      while (sz(v) and v.back().fi == k) {
        int q = v.back().se;
        auto [l, r, x] = qs[q];
        ll s = beats.range_sum(l, r);
        trc(k, l,r,s);
        (s >= x ? ok : ng)[q] = k;
        v.pop_back();
      }
      if (k != K) {
        auto [l, r, x] = us[k];
        beats.range_chmax(l, r, x);
      }
    }
  }

  each(x, ok) if (x == K + 1) x = -1;
  each(x, ok) out(x);
}

void Nyaan::solve() {
  int t = 1;
  // in(t);
  while (t--) q();
}
0