結果

問題 No.5007 Steiner Space Travel
ユーザー snow39snow39
提出日時 2022-08-01 20:29:45
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 953 ms / 1,000 ms
コード長 6,319 bytes
コンパイル時間 1,677 ms
実行使用メモリ 3,840 KB
スコア 7,840,778
最終ジャッジ日時 2022-08-01 20:30:19
合計ジャッジ時間 32,940 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge11
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 953 ms
3,652 KB
testcase_01 AC 953 ms
3,756 KB
testcase_02 AC 953 ms
3,644 KB
testcase_03 AC 953 ms
3,840 KB
testcase_04 AC 952 ms
3,664 KB
testcase_05 AC 952 ms
3,748 KB
testcase_06 AC 953 ms
3,740 KB
testcase_07 AC 952 ms
3,572 KB
testcase_08 AC 953 ms
3,784 KB
testcase_09 AC 951 ms
3,576 KB
testcase_10 AC 953 ms
3,616 KB
testcase_11 AC 953 ms
3,840 KB
testcase_12 AC 953 ms
3,736 KB
testcase_13 AC 952 ms
3,668 KB
testcase_14 AC 952 ms
3,560 KB
testcase_15 AC 953 ms
3,612 KB
testcase_16 AC 953 ms
3,664 KB
testcase_17 AC 953 ms
3,576 KB
testcase_18 AC 953 ms
3,652 KB
testcase_19 AC 953 ms
3,644 KB
testcase_20 AC 952 ms
3,572 KB
testcase_21 AC 953 ms
3,580 KB
testcase_22 AC 952 ms
3,612 KB
testcase_23 AC 953 ms
3,660 KB
testcase_24 AC 952 ms
3,564 KB
testcase_25 AC 952 ms
3,580 KB
testcase_26 AC 953 ms
3,764 KB
testcase_27 AC 953 ms
3,832 KB
testcase_28 AC 952 ms
3,580 KB
testcase_29 AC 953 ms
3,652 KB
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ソースコード

diff # 

#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";
}

pair<vector<vector<int>>, vector<vector<int>>> init_dist(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();
    const int inf = 1e9;
    vector<vector<int>> dist(V, vector<int>(V, inf));
    vector<vector<int>> nxt(V, vector<int>(V, inf));
    rep(i, V) rep(j, V) {
        int coef = 1;
        if (i < N) coef *= 5;
        if (j < N) coef *= 5;
        int cost = coef * objects[i].get_euclid_dist_squared(objects[j]);
        dist[i][j] = cost;
        nxt[i][j] = j;
    }

    rep(k, V) rep(i, V) rep(j, V) {
        if (dist[i][j] > dist[i][k] + dist[k][j]) {
            dist[i][j] = dist[i][k] + dist[k][j];
            nxt[i][j] = nxt[i][k];
        }
    }

    return make_pair(dist, nxt);
}

vector<Output> solve_TSP_by_2_opt(const vector<Planet> &planets, const vector<Station> &stations) {
    const auto [dist, nxt] = init_dist(planets, stations);

    vector<int> visit_order;
    rep(i, N) visit_order.push_back(i);
    visit_order.push_back(0);
    const int V = visit_order.size();

    const int TIME_LIMIT = 950;
    random_device seed_gen;
    mt19937 rng(seed_gen());
    while (1) {
        if (timer.get_ms() > TIME_LIMIT) break;

        int a = 1 + rng() % (V - 2);
        int b = 1 + rng() % (V - 2);
        while (abs(a - b) <= 1) b = 1 + rng() % (V - 2);
        if (a > b) swap(a, b);

        int bef_dist =
            dist[visit_order[a]][visit_order[a + 1]] + dist[visit_order[b]][visit_order[b + 1]];
        int aft_dist =
            dist[visit_order[a]][visit_order[b]] + dist[visit_order[a + 1]][visit_order[b + 1]];
        if (bef_dist > aft_dist) {
            reverse(visit_order.begin() + a + 1, visit_order.begin() + b + 1);
        }
    }

    vector<Output> outputs;
    outputs.emplace_back(PLANET, 0);
    rep(i, V - 1) {
        int a = visit_order[i];
        int b = visit_order[i + 1];
        int now = a;
        while (nxt[now][b] != b) {
            if (nxt[now][b] < N)
                outputs.emplace_back(PLANET, nxt[now][b]);
            else
                outputs.emplace_back(STATION, nxt[now][b] - N);
            now = nxt[now][b];
        }
        if (b < N)
            outputs.emplace_back(PLANET, b);
        else
            outputs.emplace_back(STATION, b - N);
    }
    return outputs;
}

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

    vector<Output> outputs = solve_TSP_by_2_opt(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;
}
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