Submission #1097674

#	Time	Username	Problem	Language	Result	Execution time	Memory
1097674		Whisper	Gift Exchange (JOI24_ho_t4)	C++17	100 / 100	1262 ms	218132 KiB

Main

#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX                         500005
int A[MAX], B[MAX];
int nArr, numQuery;

struct Queries{
    int l, r, id;
    Queries(){}
    Queries(int _l, int _r, int _id): l(_l), r(_r), id(_id){}
} Q[MAX];

namespace SUBTASK_4{
    bool check(void){
        return nArr <= 100000 && numQuery <= 10;
    }
    void main(void){
        auto solve = [&](int l, int r){
            vector<pair<int, int>> events;
            FOR(i, l, r){
                events.emplace_back(B[i], i);
                events.emplace_back(A[i], -i);
            }
            sort(events.begin(), events.end());
            int curLine = 0;
            for (int i = 0; i < (int)events.size(); ++i){
                if(events[i].second < 0) --curLine;
                else ++curLine;

                if(i > 0 && curLine == 0){
                    if(events[i].second == -events[i - 1].second) return false;
                }
            }
            return true;
        };

        for (int i = 1; i <= numQuery; ++i){
            cout << (solve(Q[i].l, Q[i].r) ? "Yes\n" : "No\n");
        }
    }
}
namespace SUBTASK_6{
    struct MinSegmentTree{
        vector<int> st, lz;
        int n;
        MinSegmentTree(int _n = 0){
            this -> n = _n;
            st.resize((n << 2) + 5, INF);
            lz.resize((n << 2) + 5, INF);
        }
        #define lson                    (nd << 1)
        #define rson                    (nd << 1 | 1)
        void pushDown(int nd){
            if (lz[nd] == INF) return;
            minimize(st[lson], lz[nd]);
            minimize(st[rson], lz[nd]);
            minimize(lz[lson], lz[nd]);
            minimize(lz[rson], lz[nd]);

            lz[nd] = INF;
        }
        void upd(int nd, int l, int r, int u, int v, int value){
            if (u > r || v < l) return;
            if (u <= l && v >= r){
                minimize(st[nd], value);
                minimize(lz[nd], value);
                return;
            }
            int m = (l + r) >> 1;
            pushDown(nd);
            upd(lson, l, m, u, v, value);
            upd(rson, m + 1, r, u, v, value);
            st[nd] = min(st[rson], st[lson]);
        }
        int query(int nd, int l, int r, int u, int v){
            if (u > r || v < l) return INF;
            if (u <= l && v >= r) return st[nd];
            int m = (l + r) >> 1;
            pushDown(nd);
            int ql = query(lson, l, m, u, v);
            int qr = query(rson, m + 1, r, u, v);
            return min(ql, qr);
        }
    };

    struct MaxSegmentTree{
        vector<int> st, lz;
        int n;
        MaxSegmentTree(int _n = 0){
            this -> n = _n;
            st.resize((n << 2) + 5, 0);
            lz.resize((n << 2) + 5, 0);
        }
        #define lson                    (nd << 1)
        #define rson                    (nd << 1 | 1)
        void pushDown(int nd){
            if (lz[nd] == 0) return;
            maximize(st[lson], lz[nd]);
            maximize(st[rson], lz[nd]);
            maximize(lz[lson], lz[nd]);
            maximize(lz[rson], lz[nd]);

            lz[nd] = 0;
        }
        void upd(int nd, int l, int r, int u, int v, int value){
            if (u > r || v < l) return;
            if (u <= l && v >= r){
                maximize(st[nd], value);
                maximize(lz[nd], value);
                return;
            }
            int m = (l + r) >> 1;
            pushDown(nd);
            upd(lson, l, m, u, v, value);
            upd(rson, m + 1, r, u, v, value);
            st[nd] = max(st[rson], st[lson]);
        }
        int query(int nd, int l, int r, int u, int v){
            if (u > r || v < l) return 0;
            if (u <= l && v >= r) return st[nd];
            int m = (l + r) >> 1;
            pushDown(nd);
            int ql = query(lson, l, m, u, v);
            int qr = query(rson, m + 1, r, u, v);
            return max(ql, qr);
        }
    };

    struct SegmentTree{
        vector<int> st;
        int n;
        SegmentTree(int _n = 0){
            this -> n = _n;
            st.resize((n << 2) + 5);
        }
        #define lson                    (nd << 1)
        #define rson                    (nd << 1 | 1)

        void upd(int nd, int l, int r, int pos, int value){
            if(l == r){
                st[nd] = value;
                return;
            }
            int m = (l + r) >> 1;
            if(pos <= m) upd(lson, l, m, pos, value);
            else upd(rson, m + 1, r, pos, value);
            st[nd] = min(st[lson], st[rson]);
        }
        int query(int nd, int l, int r, int u, int v){
            if (u > r || v < l) return INF;
            if (u <= l && v >= r) return st[nd];
            int m = (l + r) >> 1;
            int ql = query(lson, l, m, u, v);
            int qr = query(rson, m + 1, r, u, v);
            return min(ql, qr);
        }
    };
    int left[MAX], right[MAX];

    vector<pair<int, int>> events[MAX];
    vector<int> rem[MAX];

    int ans[MAX];
    void main(void){
        MaxSegmentTree lf(2 * nArr);
        for (int i = 1; i <= nArr; ++i){
            left[i] = lf.query(1, 1, 2 * nArr, B[i], A[i]);
            lf.upd(1, 1, 2 * nArr, B[i], A[i], i);
        }

        MinSegmentTree rg(2 * nArr);
        for (int i = nArr; i >= 1; --i){
            right[i] = rg.query(1, 1, 2 * nArr, B[i], A[i]);
            if(right[i] > nArr + 1) right[i] = nArr + 1;
            rg.upd(1, 1, 2 * nArr, B[i], A[i], i);
        }
//        cout << "DEBUG: \n";
//        FOR(i, 1, nArr) cout << left[i] <<  " \n"[i == nArr];
//        FOR(i, 1, nArr) cout << right[i] << " \n"[i == nArr];

        FOR(i, 1, nArr) {
            rem[right[i]].emplace_back(i);
        }

        for (int i = 1; i <= numQuery; ++i){
            events[Q[i].r].emplace_back(Q[i].l, i);
        }

        SegmentTree myit(nArr);

        for (int r = 1; r <= nArr; ++r){
            myit.upd(1, 1, nArr, r, left[r]);

            for (int&j: rem[r]){
                myit.upd(1, 1, nArr, j, r);
            }

            for (pair<int, int>&x : events[r]){
                int l = x.first, id = x.second;
                ans[id] = (myit.query(1, 1, nArr, l, r) >= l);
            }
        }
        for (int i = 1; i <= numQuery; ++i){
            cout << (ans[i] ? "Yes" : "No") << '\n';
        }
    }
}
void process(void){
    cin >> nArr;
    for (int i = 1; i <= nArr; ++i) cin >> A[i];
    for (int i = 1; i <= nArr; ++i) cin >> B[i];

    cin >> numQuery;
    for (int i = 1; i <= numQuery; ++i){
        cin >> Q[i].l >> Q[i].r;
        Q[i].id = i;
    }

    if(SUBTASK_4 :: check()) {
        SUBTASK_4 :: main();
        return;
    }

    SUBTASK_6 :: main();
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}

• Subtask 1: 4 / 4
• Subtask 2: 5 / 5
• Subtask 3: 10 / 10
• Subtask 4: 31 / 31
• Subtask 5: 8 / 8
• Subtask 6: 12 / 12
• Subtask 7: 18 / 18
• Subtask 8: 12 / 12