Submission #1249709

#TimeUsernameProblemLanguageResultExecution timeMemory
1249709norman165Advertisement 2 (JOI23_ho_t2)C++20
100 / 100
724 ms55344 KiB
#include <bits/stdc++.h>

#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
#define yes() cout << "YES\n"
#define no() cout << "NO\n"

using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;

const int inf = 1e18;
const int mod = 1e9 + 7;
const int maxn = 1e7 + 5e6;
const int mod1 = 998244353;
const int mod2 = 1e18 + 1;
const int mod3 = 1e9 + 9;
const int mod4 = 333333333;
const int mod5 = 200000;
const int mod6 = 10007;
const int k = 300;
const int w = 1e5;
const ld EPS = 1e-8;

int LOG = 30;

struct segTree {
    vector<int> t;
    int n;

    segTree(int x) {
        n = x;
        t.resize(4 * n, -inf);
    }

    void upd(int v, int l, int r, int idx, int val) {
        if (r - l == 1) {
            t[v] = val;
            return;
        }

        int m = (l + r) / 2;
        if (idx < m) upd(2 * v, l, m, idx, val);
        else upd(2 * v + 1, m, r, idx, val);

        t[v] = max(t[2 * v], t[2 * v + 1]);
    }

    void upd(int idx, int val) {
        upd(1, 0, n, idx, val);
    }

    int get(int v, int l, int r, int ql, int qr) {
        if (l >= qr || r <= ql) return -inf;
        if (ql <= l && r <= qr) return t[v];

        int m = (l + r) / 2;
        return max(get(2 * v, l, m, ql, qr), get(2 * v + 1, m, r, ql, qr));
    }

    int get(int ql, int qr) {
        return get(1, 0, n, ql, qr);
    }
};

void solve() {
    int n;
    cin >> n;

    vector<pair<int, int>> a(n);
    for (auto& i : a) cin >> i.first >> i.second;

    sort(all(a), [&](pair<int, int> a, pair<int, int> b) {
        return a.second < b.second || (a.second == b.second && a.first < b.first);
    });

    vector<int> b;
    for (int i = 0; i < n; i++) b.push_back(a[i].first);
    sort(all(b));
    b.resize(unique(all(b)) - b.begin());
    for (int i = 0; i < n; i++) a[i].first = lower_bound(all(b), a[i].first) - b.begin();

    segTree st1(n), st2(n);

    int ans = n;
    vector<int> cnt(n);

    vector<int> cnt1(n), cnt2(n);
    for (int i = n - 1; i >= 0; i--) {
        int val = a[i].first;
        if (b[val] + a[i].second <= st1.get(0, val + 1)) cnt[i] = 1;
        if (a[i].second - b[val] <= st2.get(val + 1, n)) cnt[i] = 1;

        st1.upd(val, max(b[val] + a[i].second, st1.get(val, val + 1)));
        st2.upd(val, max(a[i].second - b[val], st2.get(val, val + 1)));
    }

    // for (int i = 0; i < n; i++) {
    //     for (int j = i + 1; j < n; j++) {
    //         if (a[i].first >= a[j].first) {
    //             if (a[i].first + a[i].second <= a[j].first + a[j].second) cnt[i] = 1;
    //         } else {
    //             if (a[i].second - a[i].first <= a[j].second - a[j].first) cnt[i] = 1;
    //         }
    //     }
    // }

    cout << ans - accumulate(all(cnt), 0ll) << "\n";
}

signed main() {
    // cout.precision(16);

    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int t = 1;
    // cin >> t;

    while (t--) {
        solve();
    }
}
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