#783096 (C++17) No.5007 Steiner Space Travel

• 問題: No.5007 Steiner Space Travel
• ユーザー: snow39
• 提出日時: 2022-07-30 16:21:50
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 2 ms / 1,000 ms
• コード長: 5,490 bytes
• コンパイル時間: 1,548 ms
• 実行使用メモリ: 5,160 KB
• スコア: 7,183,893
• 最終ジャッジ日時: 2022-07-30 16:21:54
• 合計ジャッジ時間: 2,940 ms
• ジャッジサーバーID （参考情報）: judge13 / judge12

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,160 KB
testcase_01	AC	2 ms; 5,160 KB
testcase_02	AC	2 ms; 4,900 KB
testcase_03	AC	2 ms; 4,904 KB
testcase_04	AC	1 ms; 4,904 KB
testcase_05	AC	2 ms; 4,900 KB
testcase_06	AC	2 ms; 4,904 KB
testcase_07	AC	2 ms; 4,900 KB
testcase_08	AC	2 ms; 5,156 KB
testcase_09	AC	1 ms; 4,904 KB
testcase_10	AC	1 ms; 4,904 KB
testcase_11	AC	2 ms; 4,904 KB
testcase_12	AC	1 ms; 5,160 KB
testcase_13	AC	2 ms; 4,904 KB
testcase_14	AC	2 ms; 4,900 KB
testcase_15	AC	1 ms; 5,160 KB
testcase_16	AC	2 ms; 4,900 KB
testcase_17	AC	2 ms; 5,156 KB
testcase_18	AC	2 ms; 5,160 KB
testcase_19	AC	2 ms; 4,904 KB
testcase_20	AC	2 ms; 4,904 KB
testcase_21	AC	2 ms; 4,904 KB
testcase_22	AC	2 ms; 4,904 KB
testcase_23	AC	2 ms; 5,160 KB
testcase_24	AC	1 ms; 4,900 KB
testcase_25	AC	1 ms; 4,904 KB
testcase_26	AC	2 ms; 5,156 KB
testcase_27	AC	1 ms; 4,900 KB
testcase_28	AC	2 ms; 4,904 KB
testcase_29	AC	2 ms; 4,900 KB

ソースコード

#include <algorithm>
#include <chrono>
#include <iostream>
#include <random>
#include <string>
#include <tuple>
#include <vector>

#define mkt make_tuple
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define all(v) v.begin(), v.end()
using namespace std;
using ll = long long;
template <class T>
void chmin(T &a, const T &b) {
    if (a > b) a = b;
}
template <class T>
void chmax(T &a, const T &b) {
    if (a < b) a = b;
}

constexpr int N = 100;
constexpr int M = 8;
constexpr int ALPHA = 5;

constexpr int PLANET = 1;
constexpr int STATION = 2;

class Timer {
public:
    chrono::time_point<chrono::system_clock> start;

    Timer() {}

    void init() {
        start = chrono::system_clock::now();
    }

    int get_ms() {
        auto cur = chrono::system_clock::now();
        return chrono::duration_cast<chrono::milliseconds>(cur - start).count();
    }
};

struct Coordinate {
    int x;
    int y;

    Coordinate(int x = -1, int y = -1) : x(x), y(y) {}

    bool operator==(const Coordinate &rhs) const {
        return x == rhs.x && y == rhs.y;
    }
    bool operator!=(const Coordinate &rhs) const {
        return x != rhs.x || y != rhs.y;
    }

    int get_manhattan_dist(const Coordinate &other) const {
        int dx = abs(x - other.x);
        int dy = abs(y - other.y);
        return dx + dy;
    }

    int get_euclid_dist_squared(const Coordinate &other) const {
        int dx = abs(x - other.x);
        int dy = abs(y - other.y);
        return dx * dx + dy * dy;
    }
};

class DisjointSet {
public:
    int N;
    vector<int> par, rank;
    vector<int> sz;

    DisjointSet() {}
    DisjointSet(int N) : N(N), par(N), rank(N), sz(N) {
        for (int i = 0; i < N; i++) make_set(i);
    }

    bool same(int x, int y) {
        return leader(x) == leader(y);
    }

    void unite(int x, int y) {
        if (same(x, y)) return;
        link(leader(x), leader(y));
    }

    int leader(int x) {
        if (x != par[x]) par[x] = leader(par[x]);
        return par[x];
    }

    int size(int x) {
        return sz[leader(x)];
    }

private:
    void make_set(int x) {
        par[x] = x;
        rank[x] = 0;
        sz[x] = 1;
    }

    void link(int x, int y) {
        if (rank[x] > rank[y]) swap(x, y);

        par[x] = y;
        sz[y] += sz[x];
        if (rank[x] == rank[y]) {
            ++rank[y];
        }
    }
};

struct Planet {
    int id;
    Coordinate pos;
    Planet(int id, Coordinate pos) : id(id), pos(pos) {}
};

struct Station {
    int id;
    Coordinate pos;
    Station(int id, Coordinate pos) : id(id), pos(pos) {}
};

struct Input {
    vector<Planet> planets;
    Input(vector<Planet> planets) : planets(planets) {}
};

struct Output {
    int type;
    int id;
    Output(int type, int id) : type(type), id(id) {}
};

Timer timer;

Input read_input() {
    // Timer timer;
    timer.init();

    int n, m;
    cin >> n >> m;
    vector<Planet> planets;
    for (int i = 0; i < N; i++) {
        int a, b;
        cin >> a >> b;
        planets.emplace_back(i, Coordinate(a, b));
    }

    Input input(planets);
    return input;
}

void output(vector<Station> stations, vector<Output> outputs) {
    for (auto stat : stations) cout << stat.pos.x << " " << stat.pos.y << "\n";

    cout << outputs.size() << "\n";
    for (auto out : outputs) cout << out.type << " " << out.id + 1 << "\n";
}

vector<Output> make_outputs(const vector<Planet> &planets, const vector<Station> &stations) {
    vector<Coordinate> objects;
    rep(i, N) objects.emplace_back(planets[i].pos);
    rep(i, M) objects.emplace_back(stations[i].pos);

    const int V = objects.size();
    using EDGE = tuple<int, int, int>;
    vector<EDGE> edges;
    for (int i = 0; i < V; i++)
        for (int j = 0; j < i; j++) {
            int coef = 1;
            if (i < N) coef *= 5;
            if (j < N) coef *= 5;
            int cost = coef * objects[i].get_euclid_dist_squared(objects[j]);
            edges.push_back(mkt(cost, i, j));
        }

    sort(all(edges));

    DisjointSet uf(V);
    vector<vector<int>> g(V);
    for (auto [cost, a, b] : edges) {
        if (uf.same(a, b)) continue;
        uf.unite(a, b);
        g[a].push_back(b);
        g[b].push_back(a);
    }

    vector<Output> outputs;
    auto dfs = [&](auto &&dfs, int now, int par) -> void {
        for (auto to : g[now]) {
            if (to == par) continue;

            if (to < N)
                outputs.emplace_back(PLANET, to);
            else
                outputs.emplace_back(STATION, to - N);

            dfs(dfs, to, now);

            if (now < N)
                outputs.emplace_back(PLANET, now);
            else
                outputs.emplace_back(STATION, now - N);
        }
    };

    outputs.emplace_back(PLANET, 0);
    dfs(dfs, 0, -1);

    return outputs;
}

void solve(const Input &input) {
    vector<Station> stations;
    // rep(i, M) stations.emplace_back(i, Coordinate(0, 0));
    rep(i, M) stations.emplace_back(i, input.planets[i].pos);

    /*
    vector<Output> outputs;
    for (int i = 0; i < N; i++) outputs.emplace_back(PLANET, input.planets[i].id);
    outputs.emplace_back(PLANET, input.planets[0].id);
    */
    vector<Output> outputs = make_outputs(input.planets, stations);

    output(stations, outputs);

    cerr << "end time: " << timer.get_ms() << "[ms]" << endl;
}

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

    Input input = read_input();
    solve(input);

    return 0;
}