This documentation is automatically generated by competitive-verifier/competitive-verifier
// competitive-verifier: PROBLEM https://www.hackerrank.com/contests/happy-query-contest/challenges/grid-xor-query
// competitive-verifier: TLE 1.5
// competitive-verifier: MLE 64
#include <iostream>
#include <vector>
#include "src/DataStructure/KDTree.hpp"
// 2次元xor
using namespace std;
struct RxorQ {
using T= int;
static T ti() { return 0; }
static T op(T l, T r) { return l ^ r; }
};
signed main() {
cin.tie(0);
ios::sync_with_stdio(0);
using KDT= KDTree<int, 2, RxorQ>;
int N;
cin >> N;
vector<array<int, 3>> vec(N);
for (int i= 0; i < N; i++) {
int x, y, v;
cin >> x >> y >> v;
vec[i]= {x, y, v};
}
KDT kdt(vec);
int Q;
cin >> Q;
while (Q--) {
int a, b, c, d;
cin >> a >> b >> c >> d;
cout << kdt.prod_cuboid(a, b, c, d) << '\n';
}
return 0;
}
#line 1 "test/hackerrank/grid-xor-query.KDT.test.cpp"
// competitive-verifier: PROBLEM https://www.hackerrank.com/contests/happy-query-contest/challenges/grid-xor-query
// competitive-verifier: TLE 1.5
// competitive-verifier: MLE 64
#include <iostream>
#include <vector>
#line 3 "src/DataStructure/KDTree.hpp"
#include <algorithm>
#include <numeric>
#include <map>
#include <set>
#include <cassert>
#include <cstdint>
#line 2 "src/Internal/HAS_CHECK.hpp"
#include <type_traits>
#define MEMBER_MACRO(member, Dummy, name, type1, type2, last) \
template <class tClass> struct name##member { \
template <class U, Dummy> static type1 check(U *); \
static type2 check(...); \
static tClass *mClass; \
last; \
}
#define HAS_CHECK(member, Dummy) MEMBER_MACRO(member, Dummy, has_, std::true_type, std::false_type, static const bool value= decltype(check(mClass))::value)
#define HAS_MEMBER(member) HAS_CHECK(member, int dummy= (&U::member, 0))
#define HAS_TYPE(member) HAS_CHECK(member, class dummy= typename U::member)
#define HOGE_OR(member, name, type2) \
MEMBER_MACRO(member, class dummy= typename U::member, name, typename U::member, type2, using type= decltype(check(mClass))); \
template <class tClass> using name##member##_t= typename name##member<tClass>::type
#define NULLPTR_OR(member) HOGE_OR(member, nullptr_or_, std::nullptr_t)
#define MYSELF_OR(member) HOGE_OR(member, myself_or_, tClass)
#line 2 "src/Internal/tuple_traits.hpp"
#include <tuple>
#include <array>
#line 5 "src/Internal/tuple_traits.hpp"
#include <cstddef>
template <class T> static constexpr bool tuple_like_v= false;
template <class... Args> static constexpr bool tuple_like_v<std::tuple<Args...>> = true;
template <class T, class U> static constexpr bool tuple_like_v<std::pair<T, U>> = true;
template <class T, size_t K> static constexpr bool tuple_like_v<std::array<T, K>> = true;
template <class T> auto to_tuple(const T &t) {
if constexpr (tuple_like_v<T>) return std::apply([](auto &&...x) { return std::make_tuple(x...); }, t);
}
template <class T> auto forward_tuple(const T &t) {
if constexpr (tuple_like_v<T>) return std::apply([](auto &&...x) { return std::forward_as_tuple(x...); }, t);
}
template <class T> static constexpr bool array_like_v= false;
template <class T, size_t K> static constexpr bool array_like_v<std::array<T, K>> = true;
template <class T, class U> static constexpr bool array_like_v<std::pair<T, U>> = std::is_convertible_v<T, U>;
template <class T> static constexpr bool array_like_v<std::tuple<T>> = true;
template <class T, class U, class... Args> static constexpr bool array_like_v<std::tuple<T, U, Args...>> = array_like_v<std::tuple<T, Args...>> && std::is_convertible_v<U, T>;
template <class T> auto to_array(const T &t) {
if constexpr (array_like_v<T>) return std::apply([](auto &&...x) { return std::array{x...}; }, t);
}
template <class T> using to_tuple_t= decltype(to_tuple(T()));
template <class T> using to_array_t= decltype(to_array(T()));
#line 2 "src/Internal/long_traits.hpp"
// clang-format off
template<class T>struct make_long{using type= T;};
template<>struct make_long<char>{using type= short;};
template<>struct make_long<unsigned char>{using type= unsigned short;};
template<>struct make_long<short>{using type= int;};
template<>struct make_long<unsigned short>{using type= unsigned;};
template<>struct make_long<int>{using type= long long;};
template<>struct make_long<unsigned>{using type= unsigned long long;};
template<>struct make_long<long long>{using type= __int128_t;};
template<>struct make_long<unsigned long long>{using type= __uint128_t;};
template<>struct make_long<float>{using type= double;};
template<>struct make_long<double>{using type= long double;};
template<class T> using make_long_t= typename make_long<T>::type;
// clang-format on
#line 12 "src/DataStructure/KDTree.hpp"
namespace kdtree_internal {
template <class pos_t, size_t K, class M, class A, class B> class KDTreeImpl {};
template <class pos_t, size_t K, class M, class... PK, class... PK2> class KDTreeImpl<pos_t, K, M, std::tuple<PK...>, std::tuple<PK2...>> {
HAS_MEMBER(op);
HAS_MEMBER(ti);
HAS_MEMBER(mp);
HAS_MEMBER(cp);
HAS_TYPE(T);
HAS_TYPE(E);
MYSELF_OR(T);
NULLPTR_OR(E);
using Sec= std::array<pos_t, 2>;
using Pos= std::array<pos_t, K>;
using Range= std::array<Sec, K>;
using long_pos_t= make_long_t<pos_t>;
template <class L> static constexpr bool monoid_v= std::conjunction_v<has_T<L>, has_op<L>, has_ti<L>>;
template <class L> static constexpr bool dual_v= std::conjunction_v<has_T<L>, has_E<L>, has_mp<L>, has_cp<L>>;
struct Node_BB {
int ch[2]= {-1, -1};
Pos pos;
pos_t range[K][2];
};
template <class U> struct Node_B: Node_BB {
U val;
};
template <class D, bool sg, bool du> struct Node_D: Node_B<M> {};
template <bool sg, bool du> struct Node_D<void, sg, du>: Node_BB {};
template <class D> struct Node_D<D, 1, 0>: Node_B<typename M::T> {
typename M::T sum;
};
template <class D> struct Node_D<D, 0, 1>: Node_B<typename M::T> {
typename M::E laz;
bool flg= false;
};
template <class D> struct Node_D<D, 1, 1>: Node_B<typename M::T> {
typename M::T sum;
typename M::E laz;
bool flg= false;
};
using Node= Node_D<M, monoid_v<M>, dual_v<M>>;
using Iter= typename std::vector<int>::iterator;
using T= std::conditional_t<std::is_void_v<M>, std::nullptr_t, myself_or_T_t<M>>;
using E= nullptr_or_E_t<M>;
template <class P> using canbe_Pos= std::is_convertible<to_tuple_t<P>, std::tuple<PK...>>;
template <class P> using canbe_PosV= std::is_convertible<to_tuple_t<P>, std::tuple<PK..., T>>;
template <class P, class U> static constexpr bool canbe_Pos_and_T_v= std::conjunction_v<canbe_Pos<P>, std::is_convertible<U, T>>;
std::vector<Node> ns;
static inline T def_val() {
if constexpr (monoid_v<M>) return M::ti();
else return T();
}
template <bool z, size_t k, class P> static inline auto get_(const P &p) {
if constexpr (z) return std::get<k>(p);
else return std::get<k>(p.first);
}
template <class P, size_t... I> Range to_range(const P &p, std::index_sequence<I...>) { return {(assert(std::get<I + I>(p) <= std::get<I + I + 1>(p)), Sec{std::get<I + I>(p), std::get<I + I + 1>(p)})...}; }
inline void update(int t) {
ns[t].sum= ns[t].val;
if (ns[t].ch[0] != -1) ns[t].sum= M::op(ns[t].sum, ns[ns[t].ch[0]].sum);
if (ns[t].ch[1] != -1) ns[t].sum= M::op(ns[t].sum, ns[ns[t].ch[1]].sum);
}
inline void propagate(int t, const E &x) {
if (t == -1) return;
if (ns[t].flg) M::cp(ns[t].laz, x);
else ns[t].laz= x, ns[t].flg= true;
M::mp(ns[t].val, x);
if constexpr (monoid_v<M>) M::mp(ns[t].sum, x);
}
inline void push(int t) {
if (ns[t].flg) ns[t].flg= false, propagate(ns[t].ch[0], ns[t].laz), propagate(ns[t].ch[1], ns[t].laz);
}
template <bool z, class P, size_t k> inline void set_range(int t, int m, Iter bg, Iter ed, const P *p) {
auto [mn, mx]= std::minmax_element(bg, ed, [&](int a, int b) { return get_<z, k>(p[a]) < get_<z, k>(p[b]); });
ns[t].range[k][0]= get_<z, k>(p[*mn]), ns[t].range[k][1]= get_<z, k>(p[*mx]), ns[t].pos[k]= get_<z, k>(p[m]);
}
template <bool z, class P, size_t... I> inline void set_range_lp(int t, int m, Iter bg, Iter ed, const P *p, std::index_sequence<I...>) { (void)(int[]){(set_range<z, P, I>(t, m, bg, ed, p), 0)...}; }
template <bool z, uint8_t div, class P> inline int build(int &ts, Iter bg, Iter ed, const P *p, const T &v= def_val()) {
if (bg == ed) return -1;
auto md= bg + (ed - bg) / 2;
int t= ts++;
std::nth_element(bg, md, ed, [&](int a, int b) { return get_<z, div>(p[a]) < get_<z, div>(p[b]); }), set_range_lp<z>(t, *md, bg, ed, p, std::make_index_sequence<K>());
if constexpr (z) {
if constexpr (!std::is_void_v<M>) {
if constexpr (std::tuple_size_v<P> == K + 1) ns[t].val= std::get<K>(p[*md]);
else ns[t].val= v;
}
} else ns[t].val= p[*md].second;
static constexpr uint8_t nx= div + 1 == K ? 0 : div + 1;
ns[t].ch[0]= build<z, nx>(ts, bg, md, p, v), ns[t].ch[1]= build<z, nx>(ts, md + 1, ed, p, v);
if constexpr (monoid_v<M>) update(t);
return t;
}
template <bool z, uint8_t div, class P> inline int build(Iter bg, Iter ed, const P *p, int &ts) {
if (bg == ed) return -1;
auto md= bg + (ed - bg) / 2;
int t= ts++;
std::nth_element(bg, md, ed, [&](int a, int b) { return get_<z, div>(p[a]) < get_<z, div>(p[b]); }), set_range_lp<z>(t, bg, ed, p, std::make_index_sequence<K>());
if constexpr (z) {
if constexpr (!std::is_void_v<M>) {
if constexpr (std::tuple_size_v<P> == K + 1) ns[t].val= std::get<K>(p[t]);
else ns[t].val= def_val();
}
} else ns[t].val= p[t].second;
static constexpr uint8_t nx= div + 1 == K ? 0 : div + 1;
ns[t].ch[0]= build<z, nx>(bg, md, p, ts), ns[t].ch[1]= build<z, nx>(md + 1, ed, p, ts);
if constexpr (monoid_v<M>) update(t);
return t;
}
static inline auto in_cuboid(const Range &r) {
return [r](const Pos &pos) {
for (uint8_t k= K; k--;)
if (r[k][1] < pos[k] || pos[k] < r[k][0]) return false;
return true;
};
}
static inline auto out_cuboid(const Range &r) {
return [r](const pos_t rr[K][2]) {
for (uint8_t k= K; k--;)
if (rr[k][1] < r[k][0] || r[k][1] < rr[k][0]) return true;
return false;
};
}
static inline auto inall_cuboid(const Range &r) {
return [r](const pos_t rr[K][2]) {
for (uint8_t k= K; k--;)
if (rr[k][0] < r[k][0] || r[k][1] < rr[k][1]) return false;
return true;
};
}
static inline long_pos_t min_dist2(const pos_t r[K][2], const Pos &pos) {
long_pos_t d2= 0, dx;
for (uint8_t k= K; k--;) dx= std::clamp(pos[k], r[k][0], r[k][1]) - pos[k], d2+= dx * dx;
return d2;
}
static inline auto in_ball(const Pos &c, long_pos_t r2) {
return [c, r2](const Pos &pos) {
long_pos_t d2= 0, dx;
for (uint8_t k= K; k--;) dx= pos[k] - c[k], d2+= dx * dx;
return d2 <= r2;
};
}
static inline auto inall_ball(const Pos &c, long_pos_t r2) {
return [c, r2](const pos_t rr[K][2]) {
long_pos_t d2= 0, dx0, dx1;
for (uint8_t k= K; k--;) dx0= rr[k][0] - c[k], dx1= rr[k][1] - c[k], d2+= std::max(dx0 * dx0, dx1 * dx1);
return d2 <= r2;
};
}
static inline auto out_ball(const Pos &c, long_pos_t r2) {
return [c, r2](const pos_t r[K][2]) { return min_dist2(r, c) > r2; };
}
inline void nns(int t, const Pos &pos, std::pair<int, long_pos_t> &ret) const {
if (t == -1) return;
long_pos_t d2= min_dist2(ns[t].range, pos);
if (ret.first != -1 && d2 >= ret.second) return;
long_pos_t dx= d2= 0;
for (uint8_t k= K; k--;) dx= pos[k] - ns[t].pos[k], d2+= dx * dx;
if (ret.first == -1 || d2 < ret.second) ret= {t, d2};
bool f= 0;
if (auto [l, r]= ns[t].ch; l != -1 && r != -1) f= min_dist2(ns[l].range, pos) > min_dist2(ns[r].range, pos);
nns(ns[t].ch[f], pos, ret), nns(ns[t].ch[!f], pos, ret);
}
template <class In, class Out> inline void col(int t, const In &in, const Out &out, std::vector<T> &ret) const {
if (t == -1 || out(ns[t].range)) return;
if (in(ns[t].pos)) ret.push_back(ns[t].val);
col(ns[t].ch[0], in, out, ret), col(ns[t].ch[1], in, out, ret);
}
template <class In, class InAll, class Out> inline T fld(int t, const In &in, const InAll &inall, const Out &out) {
if (t == -1 || out(ns[t].range)) return def_val();
if (inall(ns[t].range)) return ns[t].sum;
if constexpr (dual_v<M>) push(t);
T ret= M::op(fld(ns[t].ch[0], in, inall, out), fld(ns[t].ch[1], in, inall, out));
return in(ns[t].pos) ? M::op(ret, ns[t].val) : ret;
}
template <class In, class InAll, class Out> inline void app(int t, const In &in, const InAll &inall, const Out &out, const E &x) {
if (t == -1 || out(ns[t].range)) return;
if (inall(ns[t].range)) return propagate(t, x);
if (push(t); in(ns[t].pos)) M::mp(ns[t].val, x);
app(ns[t].ch[0], in, inall, out, x), app(ns[t].ch[1], in, inall, out, x);
if constexpr (monoid_v<M>) update(t);
}
template <bool z> inline bool set(int t, const Pos &pos, const T &x) {
if (t == -1) return false;
bool isok= true;
for (uint8_t k= K; k--; isok&= pos[k] == ns[t].pos[k])
if (ns[t].range[k][1] < pos[k] || pos[k] < ns[t].range[k][0]) return false;
if constexpr (dual_v<M>) push(t);
if (isok) {
if constexpr (z) ns[t].val= x;
else ns[t].val= M::op(ns[t].val, x);
} else if (!(isok= set<z>(ns[t].ch[0], pos, x))) isok= set<z>(ns[t].ch[1], pos, x);
if constexpr (monoid_v<M>)
if (isok) update(t);
return isok;
}
inline std::pair<T, bool> get(int t, const Pos &pos) {
if (t == -1) return {T(), false};
bool myself= true;
for (uint8_t k= K; k--; myself&= pos[k] == ns[t].pos[k])
if (ns[t].range[k][1] < pos[k] || pos[k] < ns[t].range[k][0]) return {T(), false};
if (myself) return {ns[t].val, true};
if constexpr (dual_v<M>) push(t);
auto ret= get(ns[t].ch[0], pos);
return !ret.second ? get(ns[t].ch[1], pos) : ret;
}
public:
template <class P, typename= std::enable_if_t<std::disjunction_v<canbe_Pos<P>, canbe_PosV<P>>>> KDTreeImpl(const P *p, size_t n): ns(n) {
std::vector<int> ids(n);
int ts= 0;
std::iota(ids.begin(), ids.end(), 0), build<1, 0>(ts, ids.begin(), ids.end(), p);
}
template <class P, typename= std::enable_if_t<std::disjunction_v<canbe_Pos<P>, canbe_PosV<P>>>> KDTreeImpl(const std::vector<P> &p): KDTreeImpl(p.data(), p.size()) {}
template <class P, typename= std::enable_if_t<canbe_Pos<P>::value>> KDTreeImpl(const std::set<P> &p): KDTreeImpl(std::vector(p.begin(), p.end())) {}
template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> KDTreeImpl(const P *p, size_t n, U v): ns(n) {
std::vector<int> ids(n);
int ts= 0;
std::iota(ids.begin(), ids.end(), 0), build<1, 0>(ts, ids.begin(), ids.end(), p, v);
}
template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> KDTreeImpl(const std::vector<P> &p, U v): KDTreeImpl(p.data(), p.size(), v) {}
template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> KDTreeImpl(const std::set<P> &p, U v): KDTreeImpl(std::vector(p.begin(), p.end()), v) {}
template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> KDTreeImpl(const std::pair<P, U> *p, size_t n): ns(n) {
std::vector<int> ids(n);
int ts= 0;
std::iota(ids.begin(), ids.end(), 0), build<0, 0>(ts, ids.begin(), ids.end(), p);
}
template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> KDTreeImpl(const std::vector<std::pair<P, U>> &p): KDTreeImpl(p.data(), p.size()) {}
template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> KDTreeImpl(const std::map<P, U> &p): KDTreeImpl(std::vector(p.begin(), p.end())) {}
std::vector<T> enum_cuboid(PK2... xs) {
static_assert(!std::is_void_v<M>, "\"enum_cuboid\" is not available");
std::vector<T> ret;
auto r= to_range(std::forward_as_tuple(xs...), std::make_index_sequence<K>());
return col(-ns.empty(), in_cuboid(r), out_cuboid(r), ret), ret;
}
std::vector<T> enum_ball(PK... xs, pos_t r) const {
static_assert(!std::is_void_v<M>, "\"enum_ball\" is not available");
std::vector<T> ret;
long_pos_t r2= long_pos_t(r) * r;
return col(-ns.empty(), in_ball({xs...}, r2), out_ball({xs...}, r2), ret), ret;
}
T prod_cuboid(PK2... xs) {
static_assert(monoid_v<M>, "\"prod_cuboid\" is not available");
auto r= to_range(std::forward_as_tuple(xs...), std::make_index_sequence<K>());
return fld(-ns.empty(), in_cuboid(r), inall_cuboid(r), out_cuboid(r));
}
T prod_ball(PK... xs, pos_t r) {
static_assert(monoid_v<M>, "\"prod_ball\" is not available");
long_pos_t r2= long_pos_t(r) * r;
return fld(-ns.empty(), in_ball({xs...}, r2), inall_ball({xs...}, r2), out_ball({xs...}, r2));
}
void apply_cuboid(PK2... xs, E a) {
static_assert(dual_v<M>, "\"apply_cuboid\" is not available");
auto r= to_range(std::forward_as_tuple(xs...), std::make_index_sequence<K>());
app(-ns.empty(), in_cuboid(r), inall_cuboid(r), out_cuboid(r), a);
}
void apply_ball(PK... xs, pos_t r, E a) {
static_assert(dual_v<M>, "\"apply_ball\" is not available");
long_pos_t r2= long_pos_t(r) * r;
app(-ns.empty(), in_ball({xs...}, r2), inall_ball({xs...}, r2), out({xs...}, r2), a);
}
void set(PK... xs, T v) { assert(ns.size()), assert(set<1>(0, {xs...}, v)); }
void mul(PK... xs, T v) {
static_assert(monoid_v<M>, "\"mul\" is not available");
assert(ns.size()), assert(set<0>(0, {xs...}, v));
}
T get(PK... xs) {
assert(ns.size());
auto [ret, flg]= get(0, {xs...});
return assert(flg), ret;
}
Pos nearest_neighbor(PK... xs) const {
assert(ns.size());
std::pair<int, long_pos_t> ret= {-1, -1};
return nns(0, {xs...}, ret), ns[ret.first].pos;
}
};
template <class pos_t, size_t K, class M= void> using KDTree= KDTreeImpl<pos_t, K, M, to_tuple_t<std::array<pos_t, K>>, to_tuple_t<std::array<pos_t, K + K>>>;
}
using kdtree_internal::KDTree;
#line 7 "test/hackerrank/grid-xor-query.KDT.test.cpp"
// 2次元xor
using namespace std;
struct RxorQ {
using T= int;
static T ti() { return 0; }
static T op(T l, T r) { return l ^ r; }
};
signed main() {
cin.tie(0);
ios::sync_with_stdio(0);
using KDT= KDTree<int, 2, RxorQ>;
int N;
cin >> N;
vector<array<int, 3>> vec(N);
for (int i= 0; i < N; i++) {
int x, y, v;
cin >> x >> y >> v;
vec[i]= {x, y, v};
}
KDT kdt(vec);
int Q;
cin >> Q;
while (Q--) {
int a, b, c, d;
cin >> a >> b >> c >> d;
cout << kdt.prod_cuboid(a, b, c, d) << '\n';
}
return 0;
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++-13 | 000 |
![]() |
5 ms | 4 MB |
g++-13 | 001 |
![]() |
1227 ms | 9 MB |
g++-13 | 002 |
![]() |
1231 ms | 9 MB |
g++-13 | 003 |
![]() |
1231 ms | 9 MB |
g++-13 | 004 |
![]() |
132 ms | 9 MB |
g++-13 | 005 |
![]() |
74 ms | 6 MB |
g++-13 | 006 |
![]() |
25 ms | 5 MB |
g++-13 | 007 |
![]() |
58 ms | 6 MB |
g++-13 | 008 |
![]() |
57 ms | 6 MB |
g++-13 | 009 |
![]() |
35 ms | 7 MB |
g++-13 | 010 |
![]() |
66 ms | 7 MB |
g++-13 | 011 |
![]() |
141 ms | 7 MB |
clang++-18 | 000 |
![]() |
5 ms | 4 MB |
clang++-18 | 001 |
![]() |
1169 ms | 9 MB |
clang++-18 | 002 |
![]() |
1170 ms | 9 MB |
clang++-18 | 003 |
![]() |
1173 ms | 9 MB |
clang++-18 | 004 |
![]() |
136 ms | 9 MB |
clang++-18 | 005 |
![]() |
77 ms | 6 MB |
clang++-18 | 006 |
![]() |
25 ms | 5 MB |
clang++-18 | 007 |
![]() |
60 ms | 6 MB |
clang++-18 | 008 |
![]() |
58 ms | 6 MB |
clang++-18 | 009 |
![]() |
33 ms | 7 MB |
clang++-18 | 010 |
![]() |
67 ms | 7 MB |
clang++-18 | 011 |
![]() |
149 ms | 7 MB |