Luzhiled's Library

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:heavy_check_mark: test/verify/yosupo-point-add-rectangle-sum-2.test.cpp

Depends on

Code

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

#include "../../template/template.hpp"

#include "../../structure/others/abstract-2d-binary-indexed-tree-compressed.hpp"

#include "../../other/scanner.hpp"
#include "../../other/printer.hpp"

int main() {
  Scanner in(stdin);
  Printer out(stdout);
  int N, Q;
  in.read(N, Q);
  vector< int > X(N), Y(N), W(N);
  vector< pair< int, int > > ps(N);
  for(int i = 0; i < N; i++) {
    in.read(X[i], Y[i], W[i]);
    ps[i] = {X[i], Y[i]};
  }
  vector< int > A(Q), B(Q), C(Q), D(Q), E(Q);
  for(int i = 0; i < Q; i++) {
    in.read(A[i], B[i], C[i], D[i]);
    if(A[i] == 0) ps.emplace_back(B[i], C[i]);
    else in.read(E[i]);
  }
  sort(begin(ps), end(ps));
  ps.erase(unique(begin(ps), end(ps)), end(ps));
  vector< int > H(ps.size());
  for(int i = 0; i < N; i++) {
    X[i] = lower_bound(begin(ps), end(ps), make_pair(X[i], Y[i])) - begin(ps);
  }
  for(int i = 0; i < Q; i++) {
    if(A[i] == 0) {
      B[i] = lower_bound(begin(ps), end(ps), make_pair(B[i], C[i])) - begin(ps);
    } else {
      B[i] = lower_bound(begin(ps), end(ps), make_pair(B[i], -inf)) - begin(ps);
      D[i] = lower_bound(begin(ps), end(ps), make_pair(D[i], -inf)) - begin(ps);
    }
  }
  for(int i = 0; i < (int) ps.size(); i++) {
    H[i] = ps[i].second;
  }
  auto f = [](int64 a, int64 b) { return a + b; };
  auto bit = get_abstract_2d_binary_indexed_tree_compressed(H, f, 0LL);
  for(int i = 0; i < N; i++) {
    bit.apply(X[i], W[i]);
  }
  for(int i = 0; i < Q; i++) {
    if(A[i] == 0) {
      bit.apply(B[i], D[i]);
    } else {
      out.writeln(bit.prod(D[i], E[i]) - bit.prod(D[i], C[i]) - bit.prod(B[i], E[i]) + bit.prod(B[i], C[i]));
    }
  }
}
#line 1 "test/verify/yosupo-point-add-rectangle-sum-2.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/point_add_rectangle_sum"

#line 1 "template/template.hpp"
#include<bits/stdc++.h>

using namespace std;

using int64 = long long;
const int mod = 1e9 + 7;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 >& p) {
  os << p.first << " " << p.second;
  return os;
}

template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
  is >> p.first >> p.second;
  return is;
}

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
  for(int i = 0; i < (int) v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
  for(T &in : v) is >> in;
  return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = int64 >
vector< T > make_v(size_t a) {
  return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
  return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
  t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
  for(auto &e : t) fill_v(e, v);
}

template< typename F >
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(forward< F >(f)) {}

  template< typename... Args >
  decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, forward< Args >(args)...);
  }
};
 
template< typename F >
inline decltype(auto) MFP(F &&f) {
  return FixPoint< F >{forward< F >(f)};
}
#line 4 "test/verify/yosupo-point-add-rectangle-sum-2.test.cpp"

#line 1 "structure/others/abstract-binary-indexed-tree.hpp"
/**
 * @brief Abstract Binary Indexed Tree(抽象化BIT)
 */
template< typename T, typename F >
struct AbstractBinaryIndexedTree {
private:
  int n;
  vector< T > data;
  const F f;
  const T e;

public:
  AbstractBinaryIndexedTree() = default;

  explicit AbstractBinaryIndexedTree(int n, const F f, const T &e) : n(n), f(f), e(e) {
    data.assign(n + 1, e);
  }

  explicit AbstractBinaryIndexedTree(const vector< T > &v, const F f, const T &e) :
      AbstractBinaryIndexedTree((int) v.size(), f, e) {
    build(v);
  }

  void build(const vector< T > &v) {
    assert(n == (int) v.size());
    for(int i = 1; i <= n; i++) data[i] = v[i - 1];
    for(int i = 1; i <= n; i++) {
      int j = i + (i & -i);
      if(j <= n) data[j] = f(data[j], data[i]);
    }
  }

  void apply(int k, const T &x) {
    for(++k; k <= n; k += k & -k) data[k] = f(data[k], x);
  }

  T prod(int r) const {
    T ret{e};
    for(; r > 0; r -= r & -r) ret = f(ret, data[r]);
    return ret;
  }
};

template< typename T, typename F >
AbstractBinaryIndexedTree< T, F > get_abstract_binary_indexed_tree(int n, const F &f, const T &e) {
  return AbstractBinaryIndexedTree{n, f, e};
}

template< typename T, typename F >
AbstractBinaryIndexedTree< T, F > get_abstract_binary_indexed_tree(const vector< T > &v, const F &f, const T &e) {
  return AbstractBinaryIndexedTree{v, f, e};
}
#line 2 "structure/others/abstract-2d-binary-indexed-tree-compressed.hpp"

/**
 * @brief Abstract 2D Binary Indexed Tree Compressed(抽象化2次元座圧BIT)
 */
template< typename T, typename F >
struct Abstract2DBinaryIndexedTreeCompressed {
private:
  int n;
  vector< AbstractBinaryIndexedTree< T, F > > data;
  const F f;
  const T e;
  vector< int > hs;
  vector< vector< int > > beet;
public:
  Abstract2DBinaryIndexedTreeCompressed(const vector< int > &hs, const F f, const T &e) :
      n((int) hs.size()), hs(hs), f(f), e(e) {
    vector< int > ord(n);
    iota(begin(ord), end(ord), 0);
    sort(begin(ord), end(ord), [&](int a, int b) {
      return hs[a] < hs[b];
    });
    beet.resize(n + 1);
    for(auto &&i: ord) {
      for(int k = i + 1; k <= n; k += k & -k) {
        beet[k].emplace_back(hs[i]);
      }
    }
    data.reserve(n + 1);
    for(int k = 0; k <= n; k++) {
      beet[k].erase(unique(begin(beet[k]), end(beet[k])), end(beet[k]));
      data.emplace_back((int) beet[k].size(), f, e);
    }
  }

  void apply(int k1, const T &x) {
    int k2 = hs[k1];
    for(++k1; k1 <= n; k1 += k1 & -k1) {
      int p = lower_bound(begin(beet[k1]), end(beet[k1]), k2) - begin(beet[k1]);
      data[k1].apply(p, x);
    }
  }

  T prod(int r1, int r2) const {
    T ret{e};
    for(; r1 > 0; r1 -= r1 & -r1) {
      int p = lower_bound(begin(beet[r1]), end(beet[r1]), r2) - begin(beet[r1]);
      ret = f(ret, data[r1].prod(p));
    }
    return ret;
  }
};

template< typename T, typename F >
Abstract2DBinaryIndexedTreeCompressed< T, F > get_abstract_2d_binary_indexed_tree_compressed(const vector< int > &hs, const F &f, const T &e) {
  return Abstract2DBinaryIndexedTreeCompressed{hs, f, e};
}
#line 6 "test/verify/yosupo-point-add-rectangle-sum-2.test.cpp"

#line 1 "other/scanner.hpp"
/**
 * @brief Scanner(高速入力)
 */
struct Scanner {
public:

  explicit Scanner(FILE *fp) : fp(fp) {}

  template< typename T, typename... E >
  void read(T &t, E &... e) {
    read_single(t);
    read(e...);
  }

private:
  static constexpr size_t line_size = 1 << 16;
  static constexpr size_t int_digits = 20;
  char line[line_size + 1] = {};
  FILE *fp = nullptr;
  char *st = line;
  char *ed = line;

  void read() {}

  static inline bool is_space(char c) {
    return c <= ' ';
  }

  void reread() {
    ptrdiff_t len = ed - st;
    memmove(line, st, len);
    char *tmp = line + len;
    ed = tmp + fread(tmp, 1, line_size - len, fp);
    *ed = 0;
    st = line;
  }

  void skip_space() {
    while(true) {
      if(st == ed) reread();
      while(*st && is_space(*st)) ++st;
      if(st != ed) return;
    }
  }

  template< typename T, enable_if_t< is_integral< T >::value, int > = 0 >
  void read_single(T &s) {
    skip_space();
    if(st + int_digits >= ed) reread();
    bool neg = false;
    if(is_signed< T >::value && *st == '-') {
      neg = true;
      ++st;
    }
    typename make_unsigned< T >::type y = *st++ - '0';
    while(*st >= '0') {
      y = 10 * y + *st++ - '0';
    }
    s = (neg ? -y : y);
  }

  template< typename T, enable_if_t< is_same< T, string >::value, int > = 0 >
  void read_single(T &s) {
    s = "";
    skip_space();
    while(true) {
      char *base = st;
      while(*st && !is_space(*st)) ++st;
      s += string(base, st);
      if(st != ed) return;
      reread();
    }
  }

  template< typename T >
  void read_single(vector< T > &s) {
    for(auto &d : s) read(d);
  }
};
#line 1 "other/printer.hpp"
/**
 * @brief Printer(高速出力)
 */
struct Printer {
public:
  explicit Printer(FILE *fp) : fp(fp) {}

  ~Printer() { flush(); }

  template< bool f = false, typename T, typename... E >
  void write(const T &t, const E &... e) {
    if(f) write_single(' ');
    write_single(t);
    write< true >(e...);
  }

  template< typename... T >
  void writeln(const T &...t) {
    write(t...);
    write_single('\n');
  }

  void flush() {
    fwrite(line, 1, st - line, fp);
    st = line;
  }

private:
  FILE *fp = nullptr;
  static constexpr size_t line_size = 1 << 16;
  static constexpr size_t int_digits = 20;
  char line[line_size + 1] = {};
  char *st = line;

  template< bool f = false >
  void write() {}

  void write_single(const char &t) {
    if(st + 1 >= line + line_size) flush();
    *st++ = t;
  }

  template< typename T, enable_if_t< is_integral< T >::value, int > = 0 >
  void write_single(T s) {
    if(st + int_digits >= line + line_size) flush();
    st += to_chars(st, st + int_digits, s).ptr - st;
  }

  void write_single(const string &s) {
    for(auto &c: s) write_single(c);
  }

  void write_single(const char *s) {
    while(*s != 0) write_single(*s++);
  }

  template< typename T >
  void write_single(const vector< T > &s) {
    for(size_t i = 0; i < s.size(); i++) {
      if(i) write_single(' ');
      write_single(s[i]);
    }
  }
};
#line 9 "test/verify/yosupo-point-add-rectangle-sum-2.test.cpp"

int main() {
  Scanner in(stdin);
  Printer out(stdout);
  int N, Q;
  in.read(N, Q);
  vector< int > X(N), Y(N), W(N);
  vector< pair< int, int > > ps(N);
  for(int i = 0; i < N; i++) {
    in.read(X[i], Y[i], W[i]);
    ps[i] = {X[i], Y[i]};
  }
  vector< int > A(Q), B(Q), C(Q), D(Q), E(Q);
  for(int i = 0; i < Q; i++) {
    in.read(A[i], B[i], C[i], D[i]);
    if(A[i] == 0) ps.emplace_back(B[i], C[i]);
    else in.read(E[i]);
  }
  sort(begin(ps), end(ps));
  ps.erase(unique(begin(ps), end(ps)), end(ps));
  vector< int > H(ps.size());
  for(int i = 0; i < N; i++) {
    X[i] = lower_bound(begin(ps), end(ps), make_pair(X[i], Y[i])) - begin(ps);
  }
  for(int i = 0; i < Q; i++) {
    if(A[i] == 0) {
      B[i] = lower_bound(begin(ps), end(ps), make_pair(B[i], C[i])) - begin(ps);
    } else {
      B[i] = lower_bound(begin(ps), end(ps), make_pair(B[i], -inf)) - begin(ps);
      D[i] = lower_bound(begin(ps), end(ps), make_pair(D[i], -inf)) - begin(ps);
    }
  }
  for(int i = 0; i < (int) ps.size(); i++) {
    H[i] = ps[i].second;
  }
  auto f = [](int64 a, int64 b) { return a + b; };
  auto bit = get_abstract_2d_binary_indexed_tree_compressed(H, f, 0LL);
  for(int i = 0; i < N; i++) {
    bit.apply(X[i], W[i]);
  }
  for(int i = 0; i < Q; i++) {
    if(A[i] == 0) {
      bit.apply(B[i], D[i]);
    } else {
      out.writeln(bit.prod(D[i], E[i]) - bit.prod(D[i], C[i]) - bit.prod(B[i], E[i]) + bit.prod(B[i], C[i]));
    }
  }
}
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