Submission #1315541

#TimeUsernameProblemLanguageResultExecution timeMemory
1315541chithanhnguyenLightning Rod (NOI18_lightningrod)C++20
66 / 100
1098 ms78724 KiB
/*
Author: Nguyen Chi Thanh - High School for the Gifted - VNU.HCM (i2528)
*/
#include <bits/stdc++.h>
using namespace std;

// #define int long long
#define ull unsigned long long
#define ld long double
#define pii pair<int, int>
#define fi first
#define se second
#define __builtin_popcount __builtin_popcountll
#define all(x) (x).begin(), (x).end()
#define BIT(x, i) (((x) >> (i)) & 1)
#define MASK(x) ((1ll << (x)))

#define debug(a, l, r) for (int _i = (l); _i <= (r); ++_i) cout << (a)[_i] << ' '; cout << '\n';

const int MAXN = 1e7 + 5;
int n; 
pii points[MAXN];

void init() {
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        int x, y; cin >> x >> y;
        points[i] = {x + y, x - y};
    }
}

void solve() {
    sort(points + 1, points + n + 1, [](pii &x, pii &y) {
        if (x.fi == y.fi) return x.se > y.se;
        return x.fi < y.fi;
    });

    vector<int> st;
    for (int i = 1; i <= n; ++i) {
        pii p = points[i];
        while (!st.empty() && p.se <= st.back()) st.pop_back();
        st.push_back(p.se);
    }

    cout << (int)st.size();
}

signed main() {
    #ifdef NCTHANH
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    #endif
    ios_base::sync_with_stdio(0);
    cin.tie(nullptr); cout.tie(nullptr);

    init();
    solve();

    return 0;
}
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