verify/verify-yosupo-ds/yosupo-dynamic-li-chao-tree.test.cpp

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Last update: 2024-05-03 23:21:26+09:00
Problem: https://judge.yosupo.jp/problem/segment_add_get_min

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Code

#define PROBLEM "https://judge.yosupo.jp/problem/segment_add_get_min"

#include "../../template/template.hpp"
#include "../../segment-tree/dynamic-li-chao-tree.hpp"

using namespace Nyaan; void Nyaan::solve() {
  ini(N, Q);
  DynamicLiChaoTree<ll, infLL> lichao(-1001001001, 1001001001);
  rep(i, N) {
    inl(l, r, a, b);
    lichao.update_line_segment(a, b, l, r - 1);
  }
  rep(i, Q) {
    inl(c);
    if (c == 0) {
      inl(l, r, a, b);
      lichao.update_line_segment(a, b, l, r - 1);
    } else {
      ini(x);
      ll ans = lichao.query(x);
      if (ans >= infLL)
        out("INFINITY");
      else
        out(ans);
    }
  }
}

#line 1 "verify/verify-yosupo-ds/yosupo-dynamic-li-chao-tree.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/segment_add_get_min"

#line 2 "template/template.hpp"
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
#line 1 "template/util.hpp"
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>
  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
#line 58 "template/template.hpp"

// bit operation
#line 1 "template/bitop.hpp"
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
#line 61 "template/template.hpp"

// inout
#line 1 "template/inout.hpp"
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
#line 64 "template/template.hpp"

// debug
#line 1 "template/debug.hpp"
namespace DebugImpl {

template <typename U, typename = void>
struct is_specialize : false_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, typename U::iterator, void>::type>
    : true_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, decltype(U::first), void>::type>
    : true_type {};
template <typename U>
struct is_specialize<U, enable_if_t<is_integral<U>::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"); }

void dump(__int128_t t) {
  if (t == 0) cerr << 0;
  if (t < 0) cerr << '-', t = -t;
  string S;
  while (t) S.push_back('0' + t % 10), t /= 10;
  reverse(begin(S), end(S));
  cerr << S;
}

void dump(__uint128_t t) {
  if (t == 0) cerr << 0;
  string S;
  while (t) S.push_back('0' + t % 10), t /= 10;
  reverse(begin(S), end(S));
  cerr << S;
}

template <typename U,
          enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr>
void dump(const U& t) {
  cerr << t;
}

template <typename T>
void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {
  string res;
  if (t == Nyaan::inf) res = "inf";
  if constexpr (is_signed<T>::value) {
    if (t == -Nyaan::inf) res = "-inf";
  }
  if constexpr (sizeof(T) == 8) {
    if (t == Nyaan::infLL) res = "inf";
    if constexpr (is_signed<T>::value) {
      if (t == -Nyaan::infLL) res = "-inf";
    }
  }
  if (res.empty()) res = to_string(t);
  cerr << res;
}

template <typename T, typename U>
void dump(const pair<T, U>&);
template <typename T>
void dump(const pair<T*, int>&);

template <typename T>
void dump(const T& t,
          enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {
  cerr << "[ ";
  for (auto it = t.begin(); it != t.end();) {
    dump(*it);
    cerr << (++it == t.end() ? "" : ", ");
  }
  cerr << " ]";
}

template <typename T, typename U>
void dump(const pair<T, U>& t) {
  cerr << "( ";
  dump(t.first);
  cerr << ", ";
  dump(t.second);
  cerr << " )";
}

template <typename T>
void dump(const pair<T*, int>& 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 <typename Head, typename... Tail>
void trace(Head&& head, Tail&&... tail) {
  cerr << " ";
  dump(head);
  if (sizeof...(tail) != 0) cerr << ",";
  trace(std::forward<Tail>(tail)...);
}

}  // namespace DebugImpl

#ifdef NyaanDebug
#define trc(...)                            \
  do {                                      \
    cerr << "## " << #__VA_ARGS__ << " = "; \
    DebugImpl::trace(__VA_ARGS__);          \
  } while (0)
#else
#define trc(...) (void(0))
#endif

#ifdef NyaanLocal
#define trc2(...)                           \
  do {                                      \
    cerr << "## " << #__VA_ARGS__ << " = "; \
    DebugImpl::trace(__VA_ARGS__);          \
  } while (0)
#else
#define trc2(...) (void(0))
#endif
#line 67 "template/template.hpp"

// macro
#line 1 "template/macro.hpp"
#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)
#line 70 "template/template.hpp"

namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
#line 2 "segment-tree/dynamic-li-chao-tree.hpp"



#line 2 "data-structure/hash-map-variable-length.hpp"

template <typename Key, typename Val>
struct HashMap {
  using u32 = uint32_t;
  using u64 = uint64_t;

  u32 cap, s;
  vector<Key> keys;
  vector<Val> vals;
  vector<bool> flag;
  u64 r;
  u32 shift;
  Val DefaultValue;

  static u64 rng() {
    u64 m = chrono::duration_cast<chrono::nanoseconds>(
                chrono::high_resolution_clock::now().time_since_epoch())
                .count();
    m ^= m >> 16;
    m ^= m << 32;
    return m;
  }

  void reallocate() {
    cap <<= 1;
    vector<Key> k(cap);
    vector<Val> v(cap);
    vector<bool> f(cap);
    u32 sh = shift - 1;
    for (int i = 0; i < (int)flag.size(); i++) {
      if (flag[i]) {
        u32 hash = (u64(keys[i]) * r) >> sh;
        while (f[hash]) hash = (hash + 1) & (cap - 1);
        k[hash] = keys[i];
        v[hash] = vals[i];
        f[hash] = 1;
      }
    }
    keys.swap(k);
    vals.swap(v);
    flag.swap(f);
    --shift;
  }

  explicit HashMap()
      : cap(8),
        s(0),
        keys(cap),
        vals(cap),
        flag(cap),
        r(rng()),
        shift(64 - __lg(cap)),
        DefaultValue(Val()) {}

  Val& operator[](const Key& i) {
    u32 hash = (u64(i) * r) >> shift;
    while (true) {
      if (!flag[hash]) {
        if (s + s / 4 >= cap) {
          reallocate();
          return (*this)[i];
        }
        keys[hash] = i;
        flag[hash] = 1;
        ++s;
        return vals[hash] = DefaultValue;
      }
      if (keys[hash] == i) return vals[hash];
      hash = (hash + 1) & (cap - 1);
    }
  }

  // exist -> return pointer of Val
  // not exist -> return nullptr
  const Val* find(const Key& i) const {
    u32 hash = (u64(i) * r) >> shift;
    while (true) {
      if (!flag[hash]) return nullptr;
      if (keys[hash] == i) return &(vals[hash]);
      hash = (hash + 1) & (cap - 1);
    }
  }

  // return vector< pair<const Key&, val& > >
  vector<pair<Key, Val>> enumerate() const {
    vector<pair<Key, Val>> ret;
    for (u32 i = 0; i < cap; ++i)
      if (flag[i]) ret.emplace_back(keys[i], vals[i]);
    return ret;
  }

  int size() const { return s; }

  // set default_value
  void set_default(const Val& val) { DefaultValue = val; }
};

/**
 * @brief Hash Map(可変長版)
 * @docs docs/data-structure/hash-map.md
 */
#line 6 "segment-tree/dynamic-li-chao-tree.hpp"

template <typename T, T INF>
struct DynamicLiChaoTree {
  struct Line {
    T slope, intercept;
    Line() : slope(0), intercept(INF) {}
    Line(T slope, T intercept) : slope(slope), intercept(intercept) {}
    inline T get(T x) const { return slope * x + intercept; }
    inline bool over(const Line &other, const T &x) const {
      return get(x) < other.get(x);
    }
  };

  // remind セグ木は1-indexedの実装
  T xmin, xmax, _size;
  HashMap<T, Line> seg;

  // [l , r]におけるLi Chao Tree
  DynamicLiChaoTree(T xmin, T xmax) : xmin(xmin), xmax(xmax) {
    _size = 1;
    while (_size < xmax - xmin + 1) _size <<= 1;
  }

 private:
  // 内部用の関数
  void update(T a, T b, T left, T right, T seg_idx) {
    Line line(a, b);
    while (1) {
      T mid = (left + right) >> 1;
      bool l_over = line.over(seg[seg_idx], min(xmax, left + xmin));
      bool r_over = line.over(seg[seg_idx], min(xmax, right - 1 + xmin));
      if (l_over == r_over) {
        if (l_over) swap(seg[seg_idx], line);
        return;
      }
      bool m_over = line.over(seg[seg_idx], min(xmax, mid + xmin));
      if (m_over) swap(seg[seg_idx], line);
      if (l_over != m_over)
        seg_idx = (seg_idx << 1), right = mid;
      else
        seg_idx = (seg_idx << 1) | 1, left = mid;
    }
  }
  // 内部用の関数
  void update(T a, T b, T seg_idx) {
    T left, right;
    T upper_bit = 63 - __builtin_clzll(seg_idx);
    left = (_size >> upper_bit) * (seg_idx - (1 << upper_bit));
    right = left + (_size >> upper_bit);
    update(a, b, left, right, seg_idx);
  }

 public:
  // y = ax + bなる直線を追加
  void update(T a, T b) { update(a, b, 0, _size, 1); }

  // 閉区間x in [left , right]に線分y = ax + bを追加するクエリ
  void update_line_segment(T a, T b, T left, T right) {
    left -= xmin - _size, right -= xmin - _size - 1;
    for (; left < right; left >>= 1, right >>= 1) {
      if (left & 1) update(a, b, left++);
      if (right & 1) update(a, b, --right);
    }
  }

  // xにおける最小値クエリ
  T query(T x) {
    T left = 0, right = _size, seg_idx = 1, idx = x - xmin, ret = INF;
    while (1) {
      T cur = seg[seg_idx].get(x);
      // 線分追加クエリがない場合はここのコメントアウトを外して高速化可能(1.5倍程度？)
      // if(cur == INF) break;
      ret = min(ret, cur);
      if (left + 1 >= right) break;
      T mid = (left + right) >> 1;
      if (idx < mid)
        seg_idx = (seg_idx << 1), right = mid;
      else
        seg_idx = (seg_idx << 1) | 1, left = mid;
    }
    return ret;
  }
};
#line 5 "verify/verify-yosupo-ds/yosupo-dynamic-li-chao-tree.test.cpp"

using namespace Nyaan; void Nyaan::solve() {
  ini(N, Q);
  DynamicLiChaoTree<ll, infLL> lichao(-1001001001, 1001001001);
  rep(i, N) {
    inl(l, r, a, b);
    lichao.update_line_segment(a, b, l, r - 1);
  }
  rep(i, Q) {
    inl(c);
    if (c == 0) {
      inl(l, r, a, b);
      lichao.update_line_segment(a, b, l, r - 1);
    } else {
      ini(x);
      ll ans = lichao.query(x);
      if (ans >= infLL)
        out("INFINITY");
      else
        out(ans);
    }
  }
}

Nyaan's Library

This documentation is automatically generated by online-judge-tools/verification-helper

verify/verify-yosupo-ds/yosupo-dynamic-li-chao-tree.test.cpp

Depends on

Code