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Submission #678978

# Submission time Handle Problem Language Result Execution time Memory
678978 2023-01-07T06:23:27 Z vjudge1 timeismoney (balkan11_timeismoney) C++17
55 / 100
 2000 ms 1284 KB 
#include <bits/stdc++.h>
using namespace std;

typedef complex<long long> point;
const long long INF = (long long)1e18;

long long dot(point a, point b) {
    return (conj(a) * b).real();
}
long long cross(point a, point b) {
    return (conj(a) * b).imag();
}
long long area(point a, point b, point c) {
    return cross(b - a, c - a);
}

struct DSU {
    vector<int> f;
    DSU(int n) : f(n) { iota(f.begin(), f.end(), 0); }
    int leader(int x) {
        while (x != f[x]) {
            x = f[x] = f[f[x]];
        }
        return x;
    }
    bool unionize(int x, int y) {
        x = leader(x);
        y = leader(y);
        if (x == y) {
            return false;
        }
        f[y] = x;
        return true;
    }
};

int n, m;
vector<array<long long, 5>> edges0;

point f(point axis) { // find mst on axis
    vector<array<long long, 5>> edges = edges0;
    for (int i = 0; i < m; i++) {
        edges[i][4] = dot(axis, point(edges[i][2], edges[i][3]));
    }

    sort(edges.begin(), edges.end(), [&](auto x, auto y) {
        return x[4] < y[4];
    });

    point res(0, 0);
    DSU dsu(n);

    for (auto [u, v, a, b, w] : edges) {
        if (dsu.unionize(u, v)) {
            res += point(a, b);
        }
    }
    return res;
}

int main() {
//     ios::sync_with_stdio(false);
//     cin.tie(nullptr);

    cin >> n >> m;
    edges0.resize(m);
    for (int i = 0; i < m; i++) {
        int u, v, a, b;
        cin >> u >> v >> a >> b;
        edges0[i] = {u, v, a, b, 0};
    }

    vector<point> S;
    vector<point> T;

    function<void(point, point, point, point)> divide = [&](point lp, point rp, point l, point r) {
        point axis = point(rp.imag() - lp.imag(), lp.real() - rp.real());
        point mp = f(axis);
//        cout << lp << " " << rp << ":" << mp << '\n';
        if (area(lp, mp, rp) >= 0) {
            S.push_back(lp);
            T.push_back(l);
            S.push_back(rp);
            T.push_back(r);
            return;
        }
        divide(lp, mp, l, axis);
        divide(mp, rp, axis, r);
    };
    point l0(-1, 0);
    point r0(0, -1);
    divide(f(l0), f(r0), l0, r0);

    long long mn = INF;
    point key;
    point dir;
    for (int i = 0; i < S.size(); i++) {
        point p = S[i];
        point t = T[i];
        long long prod = p.real() * p.imag();
        if (prod < mn) {
            key = p;
            dir = t;
            mn = prod;
        }
    }

    cout << key.real() << " " << key.imag() << "\n";

    vector<array<long long, 5>> edges = edges0;
    for (int i = 0; i < m; i++) {
        edges[i][4] = dot(dir, point(edges[i][2], edges[i][3]));
    }

    sort(edges.begin(), edges.end(), [&](auto x, auto y) {
        return x[4] < y[4];
    });

    DSU dsu(n);

    for (auto [u, v, a, b, w] : edges) {
        if (dsu.unionize(u, v)) {
            cout << u << " " << v << "\n";
        }
    }
}

Compilation message

timeismoney.cpp: In function 'int main()':
timeismoney.cpp:97:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::complex<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   97 |     for (int i = 0; i < S.size(); i++) {
      |                     ~~^~~~~~~~~~

Subtask #1
55.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Incorrect 0 ms 212 KB Output isn't correct
3 Incorrect 0 ms 224 KB Output isn't correct
4 Incorrect 0 ms 212 KB Output isn't correct
5 Incorrect 1 ms 340 KB Output isn't correct
6 Incorrect 1 ms 212 KB Output isn't correct
7 Incorrect 2 ms 468 KB Output isn't correct
8 Incorrect 9 ms 1088 KB Output isn't correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 16 ms 348 KB Output is correct
15 Correct 9 ms 332 KB Output is correct
16 Correct 251 ms 524 KB Output is correct
17 Correct 251 ms 720 KB Output is correct
18 Correct 254 ms 648 KB Output is correct
19 Execution timed out 2084 ms 1284 KB Time limit exceeded
20 Execution timed out 2082 ms 1252 KB Time limit exceeded