Submission #885490

#TimeUsernameProblemLanguageResultExecution timeMemory
885490juliany2Advertisement 2 (JOI23_ho_t2)C++17
100 / 100
359 ms27976 KiB
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(x) (x).begin(), (x).end()

template<class T> struct ST {
    static constexpr T ID = {(int) -1e9, (int) -1e9}; // or whatever ID
    inline T comb(T a, T b) { return {max(a[0], b[0]), max(a[1], b[1])}; } // or whatever function

    int sz;
    vector<T> t;

    void init(int _sz, T val = ID) {
        t.assign((sz = _sz) * 2, ID);
    }
    void init(vector<T> &v) {
        t.resize((sz = v.size()) * 2);
        for (int i = 0; i < sz; ++i)
            t[i + sz] = v[i];
        for (int i = sz - 1; i; --i)
            t[i] = comb(t[i * 2], t[(i * 2) | 1]);
    }
    void upd(int i, T x) {
        for (t[i += sz] = x; i > 1; i >>= 1)
            t[i >> 1] = comb(t[i], t[i ^ 1]);
    }
    T query(int l, int r) {
        T ql = ID, qr = ID;
        for (l += sz, r += sz + 1; l < r; l >>= 1, r >>= 1) {
            if (l & 1) ql = comb(ql, t[l++]);
            if (r & 1) qr = comb(t[--r], qr);
        }
        return comb(ql, qr);
    }
};

int main() {
    cin.tie(0)->sync_with_stdio(false);

    int n;
    cin >> n;

    vector<array<int, 2>> a(n);
    vector<int> pos;
    for (auto &[x, e] : a) {
        cin >> x >> e;
        pos.push_back(x);
    }

    sort(all(a), greater<>());
    sort(all(pos));
    pos.erase(unique(all(pos)), pos.end());

    vector<array<int, 2>> b;
    for (auto &[x, e] : a)
        if (b.empty() || x != b.back()[0])
            b.push_back({x, e});

    sort(all(b), [&](array<int, 2> &x, array<int, 2> &y) { return x[1] > y[1]; });

    ST<array<int, 2>> st;
    st.init(n + 1);

    int ans = b.size();

    for (auto &[x, e] : b) {
        int i = lower_bound(all(pos), x) - pos.begin();

        if (st.query(i, n)[0] >= e - x || st.query(0, i)[1] >= e + x)
            ans--;

        st.upd(i, {e - x, e + x});
    }

    cout << ans << '\n';

    return 0;
}

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