제출 #1169692

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1169692		CDuong	Curtains (NOI23_curtains)	C++20	100 / 100	779 ms	73940 KiB

curtains

/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,sse4.2,popcnt,lzcnt")
*/

#include <bits/stdc++.h>
#define taskname ""
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define i64 long long
#define isz(x) (int)x.size()
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 min_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);
}

void solve() {
    int n, m, q;
    cin >> n >> m >> q;

    vector<vector<int>> gl(n), gr(n + 1);
    for (int i = 0; i < m; ++i) {
        int l, r;
        cin >> l >> r;
        --l;
        gl[l].emplace_back(r);
    }

    auto TT = [&](int x, int y) {
        return min(x, y);
    };
    auto UU = [&](pair<int, int> lhs, pair<int, int> rhs) {
        // if (lhs.first != -1) {
        //     cout << lhs.first << " " << lhs.second << " " << rhs.first << " " << rhs.second << endl;
        // }
        if (rhs.first == -1) return lhs;
        if (rhs.second <= lhs.first) return pair{max(rhs.first, lhs.first), lhs.second};
        return rhs;
    };
    auto UT = [&](pair<int, int> lhs, int rhs) {
        return (rhs <= lhs.first ? lhs.second : rhs);
    };
    const int inf = 1e9;
    auto st = make_QU_segment_tree(TT, inf, UU, pair<int, int>{-1, inf}, UT);
    st.build(n + 1);

    for (int i = 0; i < n + 1; ++i) st.set(i, i);

    vector<int> res(q);
    vector<vector<pair<int, int>>> queries(n);

    for (int i = 0; i < q; ++i) {
        int l, r;
        cin >> l >> r;
        --l;
        queries[l].emplace_back(r, i);
    }

    for (int i = n - 1; i >= 0; --i) {
        for (auto r : gl[i]) {
            st.set(r, i);
        }
        for (auto r : gl[i]) {
            // cout << "update: " << r << " " << n << " " << r << " " << i << endl;
            st.update(r, n + 1, {r, i});
        }
        for (auto &[r, qidx] : queries[i]) {
            res[qidx] = (st.query(r) == i);
        }
        // for (int j = i + 1; j < n + 1; ++j) {
        //     cout << st.query(j) << " \n"[j == n];
        // }
    }
    for (int i = 0; i < q; ++i) {
        cout << (res[i] ? "YES" : "NO") << "\n";
    }
}

signed main() {

#ifndef CDuongg
    if (fopen(taskname".inp", "r"))
        assert(freopen(taskname".inp", "r", stdin)), assert(freopen(taskname".out", "w", stdout));
#else
    freopen("bai3.inp", "r", stdin);
    freopen("bai3.out", "w", stdout);
    auto start = chrono::high_resolution_clock::now();
#endif

    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int t = 1; //cin >> t;
    while(t--) solve();

#ifdef CDuongg
   auto end = chrono::high_resolution_clock::now();
   // cout << "\n"; for(int i = 1; i <= 100; ++i) cout << '=';
   // cout << "\nExecution time: " << chrono::duration_cast<chrono::milliseconds> (end - start).count() << "[ms]" << endl;
#endif

}

• Subtask 1: 3 / 3
• Subtask 2: 6 / 6
• Subtask 3: 15 / 15
• Subtask 4: 20 / 20
• Subtask 5: 36 / 36
• Subtask 6: 20 / 20