Submission #1217603

#	Time	Username	Problem	Language	Result	Execution time	Memory
1217603		The_Samurai	Port Facility (JOI17_port_facility)	C++20	10 / 100	2 ms	908 KiB

port_facility

// I stand with PALESTINE



//#pragma GCC optimize("Ofast")
//#pragma GCC optimize ("unroll-loops")
//#pragma GCC target("avx,avx2")

#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
//using namespace __gnu_pbds;

#define int long long
#define ff first
#define ss second
#define sz(a) (int) (a).size()
//template<class T, class C = null_type> using ordered_tree = tree<T, C, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long double ld;

namespace io {

    template<typename F, typename S>
    ostream &operator<<(ostream &os, const pair<F, S> &p) { return os << p.ff << " " << p.ss; }

    template<typename F, typename S>
    ostream &operator<<(ostream &os, const map<F, S> &mp) {
        for (auto it: mp) { os << it << endl; }
        return os;
    }

    template<typename F>
    ostream &operator<<(ostream &os, const vector<F> &v) {
        bool space = false;
        for (F x: v) {
            if (space) os << " ";
            space = true;
            os << x;
        }
        return os;
    }

    template<typename F>
    ostream &operator<<(ostream &os, const deque<F> &d) {
        bool space = false;
        for (F x: d) {
            if (space) os << " ";
            space = true;
            os << x;
        }
        return os;
    }

    template<typename F>
    ostream &operator<<(ostream &os, const set<F> &st) {
        bool space = false;
        for (F x: st) {
            if (space) os << " ";
            space = true;
            os << x;
        }
        return os;
    }

    template<typename F>
    ostream &operator<<(ostream &os, const multiset<F> &st) {
        bool space = false;
        for (F x: st) {
            if (space) os << " ";
            space = true;
            os << x << x;
        }
        return os;
    }

    template<typename F, typename S>
    istream &operator>>(istream &is, pair<F, S> &p) { return is >> p.ff >> p.ss; }

    template<typename F>
    istream &operator>>(istream &is, vector<F> &v) {
        for (F &x: v) { is >> x; }
        return is;
    }

    long long fastread() {
        char c;
        long long d = 1, x = 0;
        do c = getchar(); while (c == ' ' || c == '\n');
        if (c == '-') c = getchar(), d = -1;
        while (isdigit(c)) {
            x = x * 10 + c - '0';
            c = getchar();
        }
        return d * x;
    }

    static bool sep = false;

    using std::to_string;

    string to_string(bool x) {
        return (x ? "true" : "false");
    }

    string to_string(const string &s) { return "\"" + s + "\""; }

    string to_string(const char *s) { return "\"" + string(s) + "\""; }

    string to_string(const char &c) {
        string s;
        s += c;
        return "\'" + s + "\'";
    }

    template<typename Type>
    string to_string(vector<Type>);

    template<typename F, typename S>
    string to_string(pair<F, S>);

    template<typename Collection>
    string to_string(Collection);

    template<typename F, typename S>
    string to_string(pair<F, S> p) { return "{" + to_string(p.ff) + ", " + to_string(p.ss) + "}"; }

    template<typename Type>
    string to_string(vector<Type> v) {
        bool sep = false;
        string s = "[";
        for (Type x: v) {
            if (sep) s += ", ";
            sep = true;
            s += to_string(x);
        }
        s += "]";
        return s;
    }

    template<typename Collection>
    string to_string(Collection collection) {
        bool sep = false;
        string s = "{";
        for (auto x: collection) {
            if (sep) s += ", ";
            sep = true;
            s += to_string(x);
        }
        s += "}";
        return s;
    }

    void print() {
        cout << endl;
        sep = false;
    }

    template<typename F, typename... Other>
    void print(F ff, Other... other) {
        if (sep) cout << " | ";
        sep = true;
        cout << to_string(ff);
        print(other...);
    }

}
using namespace io;

namespace utils {

    template<typename F, typename S>
    inline void maxs(F &a, S b) { a = a > b ? a : b; }

    template<typename F, typename S>
    inline void mins(F &a, S b) { a = a < b ? a : b; }

    template<typename F, typename S>
    long long max(F a, S b) { return a > b ? a : b; }

    template<typename F, typename S>
    long long min(F a, S b) { return a < b ? a : b; }

    constexpr long long operator "" _E(unsigned long long n) {
        long long p = 1, a = 10;
        for (int i = 0; i < n; i++) p *= a;
        return p;
    }

    random_device rd;
    mt19937 mt(rd());

    template<typename T>
    T rand(T l, T r) {
        uniform_int_distribution<T> dist(l, r);
        return dist(mt);
    };

}
using namespace utils;


#ifdef sunnatov
#define print(...) cout << "[" << #__VA_ARGS__ << "]: "; io::print( __VA_ARGS__ );
#else
#define print( ... ) 42
#endif

const int mod = 9_E + 7;
const double EPS = 1e-7;
long long doxuya = 18_E + 10;
int INF = 9_E + 10;
const char nl = '\n';

int month[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};

/*

*/

template<typename T> struct SegTree {
    vector<T> tree;
    int size;
    T neutral_element = -1e9; // sum - 0, mx - (-INF), mn - INF

    inline T merge(T a, T b) {
        return max(a, b);
    }

    void init(int n) {
        size = 1;
        while (size <= n) size *= 2;
        tree.assign(2 * size, neutral_element);
    }

    void build(vector<T> &a) {
        size = 1;
        while (size < a.size()) size *= 2;
        tree.assign(2 * size, neutral_element);
        for (int i = size; i < size + a.size(); i++) tree[i] = a[i - size];
        for (int i = size - 1; i > 0; i--) tree[i] = merge(tree[i << 1], tree[i << 1 | 1]);
    }

    void upd(int p, T value) {  // upd value at position p
        p += size;
        tree[p] = value;
        for (; p > 1; p >>= 1) tree[p >> 1] = merge(tree[p], tree[p ^ 1]);
    }

    T get(int l, int r) {  // sum on interval [l, r]
        if (l > r) return neutral_element;
        T res = neutral_element;
        for (l += size, r += size + 1; l < r; l >>= 1, r >>= 1) {
            if (l & 1) res = merge(res, tree[l++]);
            if (r & 1) res = merge(res, tree[--r]);
        }
        return res;
    }
};

int solve(int n, vector<pair<int, int>> a) {
    sort(a.begin(), a.end());
    vector<vector<int>> g(n + 1);
    for (int i = 0; i < n; i++) {
        for (int j = i + 1; j < n; j++) {
            // print(i, j, a[i], a[j]);
            if (a[j].ff < a[i].ss and a[i].ss < a[j].ss) {
                g[i].emplace_back(j);
                g[j].emplace_back(i);
            }
        }
    }
    vector vis(n, false);
    vector<int> color(n + 1, -1);
    auto dfs = [&](auto &dfs, int u) -> bool {
        if (color[u] == -1) color[u] = 0;
        vis[u] = true;
        for (int v: g[u]) {
            if (color[v] == -1) color[v] = 1 - color[u];
            // print(u, v, color[u], color[v]);
            if (color[v] == color[u]) return false;
            if (!vis[v]) {
                if (!dfs(dfs, v)) return false;
            }
        }
        return true;
    };
    print(g);
    int ans = 1;
    for (int i = 0; i < n; i++) {
        if (vis[i]) continue;
        if (!dfs(dfs, i)) ans = 0;
        else ans = ans * 2 % mod;
    }
    return ans;
}

void solution(istream &cin, ostream &cout, const int &test_case) {
    int n;
    cin >> n;
    vector<pair<int, int>> a(n);
    cin >> a;
    sort(a.begin(), a.end());

    SegTree<int> sg; sg.init(2 * n + 1);
    vector<int> pos(2 * n + 1);
    for (int i = 0; i < n; i++) pos[a[i].ff] = pos[a[i].ss] = i;
    set<int, greater<>> st;

    for (int x = 1; x <= 2 * n; x++) {
        int i = pos[x];
        if (a[i].ff == x) {
            if (sg.get(a[i].ff, a[i].ss) > a[i].ff) {
                // assert(solve(n, a) == 0);
                cout << 0;
                return;
            }
            auto it = st.lower_bound(a[i].ss);
            if (it != st.end()) sg.upd(a[i].ss, *it);
            st.insert(a[i].ss);
        } else {
            sg.upd(a[i].ss, -INF);
        }
    }
    sg.init(2 * n + 1);
    SegTree<int> sg2; sg2.init(2 * n + 1);
    map<int, int> last;
    int sum = 0, ans = 1;
    last[0] = 0;
    for (int x = 1; x <= 2 * n; x++) {
        int i = pos[x];
        // if (a[i].ff == x) cout << "(";
        // else cout << ")";
        if (a[i].ff == x) {
            sum++;
            last[sum] = x;
            sg.upd(a[i].ff, a[i].ss);
        } else {
            sum--;
            // cout << x << ' ' << sum << ' ' << sg.get(last[sum] + 1, x) << endl;
            
            if (sg.get(last[sum] + 1, x) <= x and -sg2.get(last[sum] + 1, x) > last[sum]) ans = ans * 2 % mod;
            last[sum] = x;
            sg2.upd(a[i].ss, -a[i].ff);
        }
    }
    // cout << nl;
    cout << ans;
}

int32_t main() {
    clock_t startTime = clock();
    cin.tie(0)->sync_with_stdio(false);
    srand(time(0));

    std::istream &in(std::cin);
    std::ostream &out(std::cout);

    int32_t queries = 1;

#ifdef test_cases
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    cin >> queries;
#else
    // cin >> queries;
#endif

    for (int32_t test_case = 1; test_case <= queries; test_case++) {
        print(test_case);
        solution(cin, cout, test_case);
        cout << nl;
    }

#ifdef sunnatov
    cout << "Time: " << (int) ((double) (clock() - startTime) / CLOCKS_PER_SEC * 1000) << " ms" << endl;
#endif

    return EXIT_SUCCESS;
}

• Subtask 1: 10 / 10
• Subtask 2: 0 / 12
• Subtask 3: 0 / 56
• Subtask 4: 0 / 22