Submission #1080970

#TimeUsernameProblemLanguageResultExecution timeMemory
1080970vjudge1Food Court (JOI21_foodcourt)C++17
100 / 100
557 ms57444 KiB
#include <bits/stdc++.h>
using namespace std;

template<bool HAS_QUERY, bool HAS_UPDATE, class T, class U, class F1, class F2, class F3>
struct segment_tree_base{
	static_assert(HAS_QUERY || HAS_UPDATE);
#define ifQ if constexpr(HAS_QUERY)
#define ifU if constexpr(HAS_UPDATE)
	int n, size, log;
	vector<T> data;
	vector<U> data_action;
	F1 TT; // monoid operation (always adjacent)
	T T_id; // monoid identity
	F2 UU; // monoid operation (superset, subset)
	U U_id; // monoid identity
	F3 UT; // action of U on T (superset, subset)
	// O(n)
	segment_tree_base(F1 TT, T T_id, F2 UU, U U_id, F3 UT): TT(TT), T_id(T_id), UU(UU), U_id(U_id), UT(UT){ }
	segment_tree_base &operator=(const segment_tree_base &seg){
		n = seg.n;
		size = seg.size;
		log = seg.log;
		data = seg.data;
		data_action = seg.data_action;
	}
	// O(1)
	friend void swap(segment_tree_base &x, segment_tree_base &y){
		swap(x.n, y.n);
		swap(x.size, y.size);
		swap(x.log, y.log);
		swap(x.data, y.data);
		swap(x.data_action, y.data_action);
	}
	// O(n)
	void build(int n){
		assert(n >= 0);
		this->n = n;
		size = 1;
		while(size < n) size <<= 1;
		log = __lg(size);
		ifQ data.assign(size << 1, T_id);
		ifU data_action.assign(HAS_QUERY ? size : size << 1, U_id);
	}
	// O(n)
	void build(int n, T x){
		static_assert(HAS_QUERY);
		assert(n >= 0);
		this->n = n;
		size = 1;
		while(size < n) size <<= 1;
		log = __lg(size);
		data.assign(size << 1, T_id);
		fill(data.begin() + size, data.begin() + size + n, x);
		for(auto i = size - 1; i >= 1; -- i) refresh(i);
		ifU data_action.assign(size, U_id);
	}
	// O(n)
	template<class V>
	void build(const vector<V> &a){
		static_assert(HAS_QUERY);
		n = (int)a.size();
		size = 1;
		while(size < n) size <<= 1;
		log = __lg(size);
		data.assign(size << 1, T_id);
		copy(a.begin(), a.end(), data.begin() + size);
		for(auto i = size - 1; i >= 1; -- i) refresh(i);
		ifU data_action.assign(size, U_id);
	}
	// O(n)
	void build_action(int n){
		static_assert(!HAS_QUERY && HAS_UPDATE);
		assert(n >= 0);
		build(n);
	}
	// O(n)
	void build_action(int n, U f){
		static_assert(!HAS_QUERY && HAS_UPDATE);
		assert(n >= 0);
		this->n = n;
		size = 1;
		while(size < n) size <<= 1;
		log = __lg(size);
		data_action.assign(size << 1, U_id);
		fill(data_action.begin() + size, data_action.begin() + size + n, f);
	}
	// O(n)
	template<class V>
	void build_action(const vector<V> &a){
		static_assert(!HAS_QUERY && HAS_UPDATE);
		n = (int)a.size();
		size = 1;
		while(size < n) size <<= 1;
		log = __lg(size);
		data_action.assign(size << 1, U_id);
		copy(a.begin(), a.end(), data_action.begin() + size);
	}
	// O(1)
	void refresh(int u){
		static_assert(HAS_QUERY);
		data[u] = TT(data[u << 1], data[u << 1 | 1]);
	}
	// O(1)
	void apply(int u, U f){
		static_assert(HAS_UPDATE);
		ifQ data[u] = UT(f, data[u]);
		if(!HAS_QUERY || u < size) data_action[u] = UU(f, data_action[u]);
	}
	// O(1)
	void push(int u){
		static_assert(HAS_UPDATE);
		apply(u << 1, data_action[u]), apply(u << 1 | 1, data_action[u]);
		data_action[u] = U_id;
	}
	// O(log(n)) if HAS_UPDATE, O(1) otherwise.
	T query(int p){
		static_assert(HAS_QUERY);
		assert(0 <= p && p < n);
		p += size;
		ifU for(auto i = log; i >= 1; -- i) push(p >> i);
		return data[p];
	}
	// O(log(n))
	U query_action(int p){
		static_assert(!HAS_QUERY && HAS_UPDATE);
		assert(0 <= p && p < n);
		p += size;
		ifU for(auto i = log; i >= 1; -- i) push(p >> i);
		return data_action[p];
	}
	// O(log(n))
	T query(int ql, int qr){
		static_assert(HAS_QUERY);
		assert(0 <= ql && ql <= qr && qr <= n);
		if(ql == qr) return T_id;
		ql += size, qr += size;
		ifU for(auto i = log; i >= 1; -- i){
			if(ql >> i << i != ql) push(ql >> i);
			if(qr >> i << i != qr) push(qr >> i);
		}
		T res_left = T_id, res_right = T_id;
		for(; ql < qr; ql >>= 1, qr >>= 1){
			if(ql & 1) res_left = TT(res_left, data[ql ++]);
			if(qr & 1) res_right = TT(data[-- qr], res_right);
		}
		return TT(res_left, res_right);
	}
	// O(1)
	T query_all() const{
		static_assert(HAS_QUERY);
		return data[1];
	}
	// O(n)
	vector<T> to_array(){
		static_assert(HAS_QUERY);
		ifU for(auto u = 1; u < size; ++ u) push(u);
		return vector<T>(data.begin() + size, data.begin() + size + n);
	}
	// O(n)
	vector<U> to_array_of_updates(){
		static_assert(!HAS_QUERY && HAS_UPDATE);
		for(auto u = 1; u < size; ++ u) push(u);
		return vector<U>(data_action.begin() + size, data_action.begin() + size + n);
	}
	// O(log(n))
	void set(int p, T x){
		static_assert(HAS_QUERY);
		assert(0 <= p && p < n);
		p += size;
		ifU for(auto i = log; i >= 1; -- i) push(p >> i);
		data[p] = x;
		for(auto i = 1; i <= log; ++ i) refresh(p >> i);
	}
	// O(log(n))
	void set_action(int p, U f){
		static_assert(!HAS_QUERY && HAS_UPDATE);
		assert(0 <= p && p < n);
		p += size;
		for(auto i = log; i >= 1; -- i) push(p >> i);
		data_action[p] = f;
	}
	// O(log(n))
	void update(int p, U f){
		static_assert(HAS_UPDATE);
		assert(0 <= p && p < n);
		p += size;
		for(auto i = log; i >= 1; -- i) push(p >> i);
		ifQ{
			data[p] = UT(f, data[p]);
			for(auto i = 1; i <= log; ++ i) refresh(p >> i);
		}
		else data_action[p] = UU(f, data_action[p]);
	}
	// O(log(n))
	void update(int ql, int qr, U f){
		static_assert(HAS_UPDATE);
		assert(0 <= ql && ql <= qr && qr <= n);
		if(ql == qr) return;
		ql += size, qr += size;
		for(auto i = log; i >= 1; -- i){
			if(ql >> i << i != ql) push(ql >> i);
			if(qr >> i << i != qr) push(qr >> i);
		}
		int _ql = ql, _qr = qr;
		for(; ql < qr; ql >>= 1, qr >>= 1){
			if(ql & 1) apply(ql ++, f);
			if(qr & 1) apply(-- qr, f);
		}
		ql = _ql, qr = _qr;
		ifQ for(auto i = 1; i <= log; ++ i){
			if(ql >> i << i != ql) refresh(ql >> i);
			if(qr >> i << i != qr) refresh(qr >> i);
		}
	}
	void update_beats(int ql, int qr, auto exit_rule, auto enter_rule, auto update_rule){
		static_assert(HAS_QUERY && HAS_UPDATE);
		assert(0 <= ql && ql <= qr && qr <= n);
		if(ql == qr) return;
		ql += size, qr += size;
		for(auto i = log; i >= 1; -- i){
			if(ql >> i << i != ql) push(ql >> i);
			if(qr >> i << i != qr) push(qr >> i);
		}
		auto recurse = [&](auto self, int u)->void{
			if(exit_rule(data[u])) return;
			if(enter_rule(data[u])){
				apply(u, update_rule(data[u]));
				return;
			}
			push(u);
			self(self, u << 1), self(self, u << 1 | 1);
			refresh(u);
		};
		int _ql = ql, _qr = qr;
		for(; ql < qr; ql >>= 1, qr >>= 1){
			if(ql & 1) recurse(recurse, ql ++);
			if(qr & 1) recurse(recurse, -- qr);
		}
		ql = _ql, qr = _qr;
		for(auto i = 1; i <= log; ++ i){
			if(ql >> i << i != ql) refresh(ql >> i);
			if(qr >> i << i != qr) refresh(qr >> i);
		}
	}
	// pred(sum[ql, r)) is T, T, ..., T, F, F, ..., F
	// Returns max r with T
	// O(log(n))
	int max_pref(int ql, auto pred){
		static_assert(HAS_QUERY);
		assert(0 <= ql && ql <= n && pred(T_id));
		if(ql == n) return n;
		ql += size;
		ifU for(auto i = log; i >= 1; -- i) push(ql >> i);
		T sum = T_id;
		do{
			while(~ql & 1) ql >>= 1;
			if(!pred(TT(sum, data[ql]))){
				while(ql < size){
					ifU push(ql);
					ql = ql << 1;
					if(pred(TT(sum, data[ql]))) sum = TT(sum, data[ql ++]);
				}
				return ql - size;
			}
			sum = TT(sum, data[ql]);
			++ ql;
		}while((ql & -ql) != ql);
		return n;
	}
	// pred(sum[l, qr)) is F, F, ..., F, T, T, ..., T
	// Returns min l with T
	// O(log(n))
	int max_suff(int qr, auto pred){
		static_assert(HAS_QUERY);
		assert(0 <= qr && qr <= n && pred(T_id));
		if(qr == 0) return 0;
		qr += size;
		ifU for(auto i = log; i >= 1; -- i) push(qr - 1 >> i);
		T sum = T_id;
		do{
			-- qr;
			while(qr > 1 && qr & 1) qr >>= 1;
			if(!pred(TT(data[qr], sum))){
				while(qr < size){
					ifU push(qr);
					qr = qr << 1 | 1;
					if(pred(TT(data[qr], sum))) sum = TT(data[qr --], sum);
				}
				return qr + 1 - size;
			}
			sum = TT(data[qr], sum);
		}while((qr & -qr) != qr);
		return 0;
	}
	template<class output_stream>
	friend output_stream &operator<<(output_stream &out, segment_tree_base<HAS_QUERY, HAS_UPDATE, T, U, F1, F2, F3> seg){
		out << "{";
		for(auto i = 0; i < seg.n; ++ i){
			ifQ out << seg.query(i);
			else out << seg.query_action(i);
			if(i != seg.n - 1) out << ", ";
		}
		return out << '}';
	}
#undef ifQ
#undef ifU
};

// Supports query
template<class T, class F>
auto make_Q_segment_tree(F TT, T T_id){
	using U = int;
	auto _UU = [&](U, U)->U{ return U{}; };
	auto _UT = [&](U, T)->T{ return T{}; };
	return segment_tree_base<true, false, T, U, F, decltype(_UU), decltype(_UT)>(TT, T_id, _UU, U{}, _UT);
}
// Supports update
template<class U, class F>
auto make_U_segment_tree(F UU, U U_id){
	using T = int;
	auto _TT = [&](T, T)->T{ return T{}; };
	auto _UT = [&](U, T)->T{ return T{}; };
	return segment_tree_base<false, true, T, U, decltype(_TT), F, decltype(_UT)>(_TT, T{}, UU, U_id, _UT);
}
// Supports query and update
template<class T, class U, class F1, class F2, class F3>
auto make_QU_segment_tree(F1 TT, T T_id, F2 UU, U U_id, F3 UT){
	return segment_tree_base<true, true, T, U, F1, F2, F3>(TT, T_id, UU, U_id, UT);
}

#define ll long long
#define pii pair <int, int>
#define pli pair <ll, int>
#define fi first
#define se second
#define mp make_pair

const int NM = 2.5e5;
const ll inf = 1e18;

using T1 = pli;
struct __TT1{
	T1 operator()(const T1& lhs, const T1& rhs){
		if (lhs.fi < rhs.fi) return lhs;
		return rhs;
	}
} TT1;
T1 T1_id = mp(+inf, 0);

using T2 = ll;
struct __TT2{
	T2 operator()(const T2& lhs, const T2& rhs){
		return max(lhs, rhs);
	}
} TT2;
T2 T2_id = 0;

using U = ll;
struct __UU{
	U operator()(const U& up, const U& down){
		return up+down;
	}
} UU;
U U_id = 0;

struct __UT1{
	T1 operator()(const U& up, const T1& down){
		T1 res;
		res.fi = down.fi+up;
		res.se = down.se;
		return res;
	}
} UT1;
struct __UT2{
	T2 operator()(const U& up, const T2& down){
		return up+down;
	}
} UT2;

int N, M, Q;
vector <T1> arr;
vector <pair <int, pii> > upd[NM+5];
vector <pli> qry[NM+5];
bool has_query[NM+5];
int grp[NM+5], ans[NM+5];

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);

	cin >> N >> M >> Q;
	segment_tree_base st1 = make_QU_segment_tree(TT1, T1_id, UU, U_id, UT1);
	segment_tree_base st2 = make_QU_segment_tree(TT2, T2_id, UU, U_id, UT2);
	segment_tree_base st3 = make_QU_segment_tree(TT2, T2_id, UU, U_id, UT2);
	arr.resize(Q+1);
	for (int i = 0; i <= Q; i++) arr[i] = mp(0, i);
	st1.build(arr);
	st2.build(Q+1, 0);
	st3.build(Q+1, 0);
	
	for (int i = 1; i <= Q; i++){
		int type; cin >> type;
		if (type == 1){
			int l, r, c, k; cin >> l >> r >> c >> k;
			grp[i] = c;
			upd[l].push_back(mp(i, mp(1, k)));
			upd[r+1].push_back(mp(i, mp(1, -k)));
		}
		else if (type == 2){
			int l, r, k; cin >> l >> r >> k;
			upd[l].push_back(mp(i, mp(2, k)));
			upd[r+1].push_back(mp(i, mp(2, -k)));
		}
		else{
			int a; ll b; cin >> a >> b;
			qry[a].push_back(mp(b, i));
			has_query[i] = 1;
		}
	}

	for (int i = 1; i <= N; i++){
		for (pair <int, pii> p : upd[i]){
			st1.update(p.fi, Q+1, (p.se.fi == 1 ? p.se.se : -p.se.se));
			if (p.se.fi == 1) st2.update(p.fi, Q+1, p.se.se);
			else st3.update(p.fi, Q+1, p.se.se);
		}
		for (pli p : qry[i]){
			int r = p.se, l = st1.query(0, r+1).se;
			if (st1.query(r).fi-st1.query(l).fi < p.fi){
				ans[r] = 0;
				continue;
			}
			p.fi += st3.query(r)+st1.query(l).fi;
			ans[r] = grp[st2.max_pref(l+1, [&](const T2& node){return node < p.fi;})];
		}
	}
	for (int i = 1; i <= Q; i++)
		if (has_query[i]) cout << ans[i] << '\n';
	return 0;
}

Compilation message (stderr)

foodcourt.cpp:215:36: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
  215 |  void update_beats(int ql, int qr, auto exit_rule, auto enter_rule, auto update_rule){
      |                                    ^~~~
foodcourt.cpp:215:52: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
  215 |  void update_beats(int ql, int qr, auto exit_rule, auto enter_rule, auto update_rule){
      |                                                    ^~~~
foodcourt.cpp:215:69: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
  215 |  void update_beats(int ql, int qr, auto exit_rule, auto enter_rule, auto update_rule){
      |                                                                     ^~~~
foodcourt.cpp:248:23: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
  248 |  int max_pref(int ql, auto pred){
      |                       ^~~~
foodcourt.cpp:273:23: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
  273 |  int max_suff(int qr, auto pred){
      |                       ^~~~
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