// modified: https://ei1333.github.io/library/test/verify/yosupo-point-add-rectangle-sum-2.test.cpp #line 1 "test/verify/yosupo-point-add-rectangle-sum-2.test.cpp" // competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/point_add_rectangle_sum #line 1 "template/template.hpp" #include #if __has_include() #include #endif using namespace std; using int64 = long long; 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 ostream& operator<<(ostream& os, const pair& p) { os << p.first << " " << p.second; return os; } template istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template ostream& operator<<(ostream& os, const vector& v) { for (int i = 0; i < (int)v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template istream& operator>>(istream& is, vector& v) { for (T& in : v) is >> in; return is; } template inline bool chmax(T1& a, T2 b) { return a < b && (a = b, true); } template inline bool chmin(T1& a, T2 b) { return a > b && (a = b, true); } template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>(a, make_v(ts...)); } template typename enable_if::value == 0>::type fill_v(T& t, const V& v) { t = v; } template typename enable_if::value != 0>::type fill_v(T& t, const V& v) { for (auto& e : t) fill_v(e, v); } template struct FixPoint : F { explicit FixPoint(F&& f) : F(std::forward(f)) {} template decltype(auto) operator()(Args&&... args) const { return F::operator()(*this, std::forward(args)...); } }; template inline decltype(auto) MFP(F&& f) { return FixPoint{std::forward(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 struct AbstractBinaryIndexedTree { private: int n; vector 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& v, const F f, const T& e) : AbstractBinaryIndexedTree((int)v.size(), f, e) { build(v); } void build(const vector& 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 AbstractBinaryIndexedTree get_abstract_binary_indexed_tree(int n, const F& f, const T& e) { return AbstractBinaryIndexedTree{n, f, e}; } template AbstractBinaryIndexedTree get_abstract_binary_indexed_tree( const vector& 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 struct Abstract2DBinaryIndexedTreeCompressed { private: int n; vector > data; const F f; const T e; vector hs; vector > beet; public: Abstract2DBinaryIndexedTreeCompressed(const vector& hs, const F f, const T& e) : n((int)hs.size()), hs(hs), f(f), e(e) { vector 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 Abstract2DBinaryIndexedTreeCompressed get_abstract_2d_binary_indexed_tree_compressed(const vector& 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 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 ::value, int> = 0> void read_single(T& s) { skip_space(); if (st + int_digits >= ed) reread(); bool neg = false; if (is_signed::value && *st == '-') { neg = true; ++st; } typename make_unsigned::type y = *st++ - '0'; while (*st >= '0') { y = 10 * y + *st++ - '0'; } s = (neg ? -y : y); } template ::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 void read_single(vector& 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 void write(const T& t, const E&... e) { if (f) write_single(' '); write_single(t); write(e...); } template 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 void write() {} void write_single(const char& t) { if (st + 1 >= line + line_size) flush(); *st++ = t; } template ::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 void write_single(const vector& 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]); Y[i] = 1000000 - Y[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); long long ans = 0; for(int i = 0; i < N; i++) { // } // for(int i = 0; i < Q; i++) { ans += bit.prod(X[i], Y[i]); bit.apply(X[i], 1); } out.writeln(ans); }