verify/segment-tree/LC_point_add_rectangle_sum.dynamic_segment_tree_2d.test.cpp

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• Last update: 2026-08-11 23:01:09+09:00
• Problem: https://judge.yosupo.jp/problem/point_add_rectangle_sum

Depends on

• algebraic-structure/magma.hpp
• algebraic-structure/monoid.hpp
• algebraic-structure/util.hpp
• Dynamic 2D Segment Tree (segment-tree/dynamic-segment-tree-2d.hpp)
• Dynamic Segment Tree (segment-tree/dynamic-segment-tree.hpp)
• template/debug.hpp
• template/inout.hpp
• template/macro.hpp
• template/template.hpp
• template/util.hpp

Code

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

#include "template/template.hpp"
#include "segment-tree/dynamic-segment-tree-2d.hpp"

int main() {
  constexpr int C = 1000000001;

  int n, q;
  in(n, q);

  DynamicSegmentTree2D<AddMonoid<long long>, int> seg(0, C, 0, C);
  rep(i, 0, n) {
    int x, y, w;
    in(x, y, w);
    seg.apply(x, y, w);
  }

  rep(_, 0, q) {
    int t;
    in(t);
    if (t == 0) {
      int x, y, w;
      in(x, y, w);
      seg.apply(x, y, w);
    } else {
      int l, d, r, u;
      in(l, d, r, u);
      out(seg.prod(l, r, d, u));
    }
  }
}

#line 1 "verify/segment-tree/LC_point_add_rectangle_sum.dynamic_segment_tree_2d.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/point_add_rectangle_sum"

#line 2 "template/template.hpp"
#include <bits/stdc++.h>
using namespace std;

#line 2 "template/macro.hpp"
#define rep(i, a, b) for (int i = (a); i < (int)(b); i++)
#define rrep(i, a, b) for (int i = (int)(b) - 1; i >= (a); i--)
#define ALL(v) (v).begin(), (v).end()
#define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end())
#define SZ(v) (int)v.size()
#define MIN(v) *min_element(ALL(v))
#define MAX(v) *max_element(ALL(v))
#define LB(v, x) int(lower_bound(ALL(v), (x)) - (v).begin())
#define UB(v, x) int(upper_bound(ALL(v), (x)) - (v).begin())
#define YN(b) cout << ((b) ? "YES" : "NO") << "\n";
#define Yn(b) cout << ((b) ? "Yes" : "No") << "\n";
#define yn(b) cout << ((b) ? "yes" : "no") << "\n";
#line 6 "template/template.hpp"

#line 2 "template/util.hpp"
using uint = unsigned int;
using ll = long long int;
using ull = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
template <class T>
using priority_queue_asc = priority_queue<T, vector<T>, greater<T>>;

template <class T, class S = T>
S SUM(const vector<T>& a) {
  return accumulate(ALL(a), S(0));
}
template <class T1, class T2>
inline bool chmin(T1& a, T2 b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T1, class T2>
inline bool chmax(T1& a, T2 b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <class T1, class T2>
inline bool chmin_opt(optional<T1>& a, T2 b) {
  if (!a || a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T1, class T2>
inline bool chmax_opt(optional<T1>& a, T2 b) {
  if (!a || a < b) {
    a = b;
    return true;
  }
  return false;
}

template <class T>
int popcnt(T x) {
  return __builtin_popcountll(x);
}
template <class T>
int topbit(T x) {
  return (x == 0 ? -1 : 63 - __builtin_clzll(x));
}
template <class T>
int lowbit(T x) {
  return (x == 0 ? -1 : __builtin_ctzll(x));
}
#line 8 "template/template.hpp"

#line 2 "template/inout.hpp"
struct Fast {
  Fast() {
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(15);
  }
} fast;

ostream& operator<<(ostream& os, __uint128_t x) {
  char buf[40];
  size_t k = 0;
  while (x > 0) buf[k++] = (char)(x % 10 + '0'), x /= 10;
  if (k == 0) buf[k++] = '0';
  while (k) os << buf[--k];
  return os;
}
ostream& operator<<(ostream& os, __int128_t x) {
  return x < 0 ? (os << '-' << (__uint128_t)(-x)) : (os << (__uint128_t)x);
}
template <class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N>& a);
template <class T1, class T2>
istream& operator>>(istream& is, pair<T1, T2>& p) {
  return is >> p.first >> p.second;
}
template <class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
  return os << p.first << " " << p.second;
}
template <class T>
istream& operator>>(istream& is, vector<T>& a) {
  for (auto& v : a) is >> v;
  return is;
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& a) {
  for (auto it = a.begin(); it != a.end();) {
    os << *it;
    if (++it != a.end()) os << " ";
  }
  return os;
}
template <class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N>& a) {
  for (auto it = a.begin(); it != a.end();) {
    os << *it;
    if (++it != a.end()) os << " ";
  }
  return os;
}
template <class T>
ostream& operator<<(ostream& os, const set<T>& st) {
  os << "{";
  for (auto it = st.begin(); it != st.end();) {
    os << *it;
    if (++it != st.end()) os << ",";
  }
  os << "}";
  return os;
}
template <class T1, class T2>
ostream& operator<<(ostream& os, const map<T1, T2>& mp) {
  os << "{";
  for (auto it = mp.begin(); it != mp.end();) {
    os << it->first << ":" << it->second;
    if (++it != mp.end()) os << ",";
  }
  os << "}";
  return os;
}

void in() {}
template <typename T, class... U>
void in(T& t, U&... u) {
  cin >> t;
  in(u...);
}
template <class... T>
void in_zip(int n, T&... t) {
  assert(n >= 0 && ((size(t) >= static_cast<size_t>(n)) && ...));
  for (int i = 0; i < n; i++) in(t[i]...);
}
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...);
}
template <class T, class U>
void out_opt(const optional<T>& opt, const U& fallback, ostream& os = cout) {
  if (opt.has_value())
    os << opt.value();
  else
    os << fallback;
  os << "\n";
}
template <class T, class U>
void out_opt(const vector<optional<T>>& vec, const U& fallback, ostream& os = cout) {
  for (auto it = vec.begin(); it != vec.end();) {
    if ((*it).has_value())
      os << (*it).value();
    else
      os << fallback;
    if (++it != vec.end()) os << " ";
  }
  os << "\n";
}

namespace IO {
template <class T, class... U>
T read(U&&... u) {
  T t = T(forward<U>(u)...);
  in(t);
  return t;
}
namespace Graph {
vector<vector<int>> unweighted(int n, int m, bool directed = false, int offset = 1) {
  vector<vector<int>> g(n);
  for (int i = 0; i < m; i++) {
    int u, v;
    cin >> u >> v;
    u -= offset, v -= offset;
    g[u].push_back(v);
    if (!directed) g[v].push_back(u);
  }
  return g;
}
template <class T>
vector<vector<pair<int, T>>> weighted(int n, int m, bool directed = false, int offset = 1) {
  vector<vector<pair<int, T>>> g(n);
  for (int i = 0; i < m; i++) {
    int u, v;
    T w;
    cin >> u >> v >> w;
    u -= offset, v -= offset;
    g[u].push_back({v, w});
    if (!directed) g[v].push_back({u, w});
  }
  return g;
}
}  // namespace Graph
namespace Tree {
vector<vector<int>> unweighted(int n, bool directed = false, int offset = 1) {
  return Graph::unweighted(n, n - 1, directed, offset);
}
template <class T>
vector<vector<pair<int, T>>> weighted(int n, bool directed = false, int offset = 1) {
  return Graph::weighted<T>(n, n - 1, directed, offset);
}
vector<vector<int>> rooted(int n, bool to_root = true, bool to_leaf = true, int offset = 1) {
  vector<vector<int>> g(n);
  for (int i = 1; i < n; i++) {
    int p;
    cin >> p;
    p -= offset;
    if (to_root) g[i].push_back(p);
    if (to_leaf) g[p].push_back(i);
  }
  return g;
}
}  // namespace Tree
}  // namespace IO
#line 10 "template/template.hpp"

#line 2 "template/debug.hpp"
#ifdef LOCAL
#define debug 1
#define show(...) _show(0, #__VA_ARGS__, __VA_ARGS__)
#else
#define debug 0
#define show(...) true
#endif
template <class T>
void _show(int, T) {
  cerr << '\n';
}
template <class T1, class T2, class... T3>
void _show(int i, const T1& a, const T2& b, const T3&... c) {
  for (; a[i] != ',' && a[i] != '\0'; i++) cerr << a[i];
  cerr << ":" << b << " ";
  _show(i + 1, a, c...);
}
#line 2 "segment-tree/dynamic-segment-tree-2d.hpp"

#line 2 "segment-tree/dynamic-segment-tree.hpp"

#line 2 "algebraic-structure/util.hpp"
#ifdef __cpp_concepts
#define REQUIRES(...) requires __VA_ARGS__
#else
#define REQUIRES(...)
#endif
#line 3 "algebraic-structure/magma.hpp"

#ifdef __cpp_concepts
template <class M>
concept Magma = requires(typename M::value_type x, typename M::value_type y) {
  typename M::value_type;
  { M::op(x, y) } -> same_as<typename M::value_type>;
};
#endif

template <class T>
struct AddMagma {
  using value_type = T;
  static T op(T x, T y) { return x + y; }
};
template <class T>
struct MulMagma {
  using value_type = T;
  static T op(T x, T y) { return x * y; }
};
template <class T, T id>
struct MaxMagma {
  using value_type = T;
  static T op(T x, T y) { return x > y ? x : y; }
};
template <class T, T id>
struct MinMagma {
  using value_type = T;
  static T op(T x, T y) { return x < y ? x : y; }
};
#line 3 "algebraic-structure/monoid.hpp"

#ifdef __cpp_concepts
template <class M>
concept Monoid = Magma<M> && requires {
  { M::e() } -> same_as<typename M::value_type>;
};
#endif

template <class T>
struct AddMonoid {
  using value_type = T;
  static T op(T x, T y) { return x + y; }
  static T e() { return T(0); }
};
template <class T>
struct MulMonoid {
  using value_type = T;
  static T op(T x, T y) { return x * y; }
  static T e() { return T(1); }
};
template <class T, T id>
struct MaxMonoid {
  using value_type = T;
  static T op(T x, T y) { return x > y ? x : y; }
  static T e() { return id; }
};
template <class T, T id>
struct MinMonoid {
  using value_type = T;
  static T op(T x, T y) { return x < y ? x : y; }
  static T e() { return id; }
};
#line 4 "segment-tree/dynamic-segment-tree.hpp"

template <class M, class I = long long>
REQUIRES(Monoid<M>)
struct DynamicSegmentTree {
  using T = typename M::value_type;
  DynamicSegmentTree() : DynamicSegmentTree(0, 1) {}
  // [l, r)
  DynamicSegmentTree(I l, I r) : low(l), high(r), root(0) {
    assert(low < high);
    nodes.push_back({});
  }
  void set(I p, T v) {
    assert(low <= p && p < high);
    root = set(root, low, high, p, v);
  }
  void apply(I p, T v) {
    assert(low <= p && p < high);
    root = apply(root, low, high, p, v);
  }
  T get(I p) const {
    assert(low <= p && p < high);
    return prod(p, p + 1);
  }
  T prod(I l, I r) const {
    assert(low <= l && l <= r && r <= high);
    if (l == r) return M::e();
    return prod(root, low, high, l, r);
  }
  T all_prod() const { return value(root); }
  int node_count() const { return (int)nodes.size() - 1; }

 private:
  struct Node {
    T val = M::e();
    int l = 0, r = 0;
  };
  I low, high;
  int root;
  vector<Node> nodes;
  int new_node() {
    nodes.push_back({});
    return (int)nodes.size() - 1;
  }
  static I mid(I l, I r) { return l + (r - l) / 2; }
  T value(int t) const { return t == 0 ? M::e() : nodes[t].val; }
  int set(int t, I l, I r, I p, T v) {
    if (t == 0) t = new_node();
    if (r - l == 1) {
      nodes[t].val = v;
      return t;
    }
    I m = mid(l, r);
    if (p < m)
      nodes[t].l = set(nodes[t].l, l, m, p, v);
    else
      nodes[t].r = set(nodes[t].r, m, r, p, v);
    nodes[t].val = M::op(value(nodes[t].l), value(nodes[t].r));
    return t;
  }
  int apply(int t, I l, I r, I p, T v) {
    if (t == 0) t = new_node();
    if (r - l == 1) {
      nodes[t].val = M::op(nodes[t].val, v);
      return t;
    }
    I m = mid(l, r);
    if (p < m)
      nodes[t].l = apply(nodes[t].l, l, m, p, v);
    else
      nodes[t].r = apply(nodes[t].r, m, r, p, v);
    nodes[t].val = M::op(value(nodes[t].l), value(nodes[t].r));
    return t;
  }
  T prod(int t, I l, I r, I ql, I qr) const {
    if (t == 0 || qr <= l || r <= ql) return M::e();
    if (ql <= l && r <= qr) return nodes[t].val;
    I m = mid(l, r);
    return M::op(prod(nodes[t].l, l, m, ql, qr), prod(nodes[t].r, m, r, ql, qr));
  }
};

/**
 * @brief Dynamic Segment Tree
 * @docs docs/segment-tree/dynamic-segment-tree.md
 */
#line 4 "segment-tree/dynamic-segment-tree-2d.hpp"

// M: commutative monoid
template <class M, class I = long long>
REQUIRES(Monoid<M>)
struct DynamicSegmentTree2D {
  using T = typename M::value_type;
  DynamicSegmentTree2D() : DynamicSegmentTree2D(0, 1, 0, 1) {}
  // [xl, xr) * [yl, yr)
  DynamicSegmentTree2D(I xl, I xr, I yl, I yr) : x_low(xl), x_high(xr), y_low(yl), y_high(yr), root(0) {
    assert(x_low < x_high);
    assert(y_low < y_high);
    xs.push_back({});
    ys.emplace_back(y_low, y_high);
  }
  void set(I x, I y, T v) {
    assert(x_low <= x && x < x_high);
    assert(y_low <= y && y < y_high);
    root = set_x(root, x_low, x_high, x, y, v);
  }
  void apply(I x, I y, T v) {
    assert(x_low <= x && x < x_high);
    assert(y_low <= y && y < y_high);
    root = apply_x(root, x_low, x_high, x, y, v);
  }
  T get(I x, I y) const {
    assert(x_low <= x && x < x_high);
    assert(y_low <= y && y < y_high);
    return prod(x, x + 1, y, y + 1);
  }
  T prod(I qxl, I qxr, I qyl, I qyr) const {
    assert(x_low <= qxl && qxl <= qxr && qxr <= x_high);
    assert(y_low <= qyl && qyl <= qyr && qyr <= y_high);
    if (qxl == qxr || qyl == qyr) return M::e();
    return prod_x(root, x_low, x_high, qxl, qxr, qyl, qyr);
  }
  int x_nodes() const { return xs.size() - 1; }
  int y_nodes() const {
    int ret = 0;
    for (const auto& seg : ys) ret += seg.node_count();
    return ret;
  }

 private:
  struct XNode {
    int l = 0, r = 0;
  };
  I x_low, x_high, y_low, y_high;
  int root;
  vector<XNode> xs;
  vector<DynamicSegmentTree<M, I>> ys;
  int new_x_node() {
    xs.push_back({});
    ys.emplace_back(y_low, y_high);
    return (int)xs.size() - 1;
  }
  static I mid(I l, I r) { return l + (r - l) / 2; }
  T get_y(int t, I y) const {
    return t == 0 ? M::e() : ys[t].get(y);
  }
  int set_x(int t, I l, I r, I x, I y, T v) {
    if (t == 0) t = new_x_node();
    if (r - l == 1) {
      ys[t].set(y, v);
      return t;
    }
    I m = mid(l, r);
    if (x < m)
      xs[t].l = set_x(xs[t].l, l, m, x, y, v);
    else
      xs[t].r = set_x(xs[t].r, m, r, x, y, v);
    ys[t].set(y, M::op(get_y(xs[t].l, y), get_y(xs[t].r, y)));
    return t;
  }
  int apply_x(int t, I l, I r, I x, I y, T v) {
    if (t == 0) t = new_x_node();
    ys[t].apply(y, v);
    if (r - l == 1) return t;
    I m = mid(l, r);
    if (x < m)
      xs[t].l = apply_x(xs[t].l, l, m, x, y, v);
    else
      xs[t].r = apply_x(xs[t].r, m, r, x, y, v);
    return t;
  }
  T prod_x(int t, I l, I r, I qxl, I qxr, I qyl, I qyr) const {
    if (t == 0 || qxr <= l || r <= qxl) return M::e();
    if (qxl <= l && r <= qxr) return ys[t].prod(qyl, qyr);
    I m = mid(l, r);
    return M::op(prod_x(xs[t].l, l, m, qxl, qxr, qyl, qyr), prod_x(xs[t].r, m, r, qxl, qxr, qyl, qyr));
  }
};

/**
 * @brief Dynamic 2D Segment Tree
 * @docs docs/segment-tree/dynamic-segment-tree-2d.md
 */
#line 5 "verify/segment-tree/LC_point_add_rectangle_sum.dynamic_segment_tree_2d.test.cpp"

int main() {
  constexpr int C = 1000000001;

  int n, q;
  in(n, q);

  DynamicSegmentTree2D<AddMonoid<long long>, int> seg(0, C, 0, C);
  rep(i, 0, n) {
    int x, y, w;
    in(x, y, w);
    seg.apply(x, y, w);
  }

  rep(_, 0, q) {
    int t;
    in(t);
    if (t == 0) {
      int x, y, w;
      in(x, y, w);
      seg.apply(x, y, w);
    } else {
      int l, d, r, u;
      in(l, d, r, u);
      out(seg.prod(l, r, d, u));
    }
  }
}

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