結果

問題 No.5020 Averaging
ユーザー hitonanode
提出日時 2024-02-25 15:33:52
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 227 ms / 1,000 ms
コード長 16,328 bytes
コンパイル時間 2,778 ms
コンパイル使用メモリ 202,544 KB
実行使用メモリ 77,796 KB
スコア 31,572,367
最終ジャッジ日時 2024-02-25 15:34:08
合計ジャッジ時間 15,036 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge10
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ファイルパターン 結果
other AC * 50
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ソースコード

diff #
プレゼンテーションモードにする

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#include <iostream>
#include <string>
#include <utility>
#include <vector>
class JsonDumper {
    struct KeyValue {
        std::string key;
        std::string value;
    };
    std::vector<KeyValue> _items;
    bool dump_at_end = false;
public:
    JsonDumper(bool dump_at_end_ = false) : dump_at_end(dump_at_end_) {}
    ~JsonDumper() {
        if (dump_at_end) std::cout << dump() << std::endl;
    }
    void set_dump_at_end() { dump_at_end = true; }
    void operator()(const std::string &key, const std::string &value) {
        _items.push_back(KeyValue{key, "\"" + value + "\""});
    }
    template <class T> void operator()(const std::string &key, T value) {
        _items.push_back(KeyValue{key, std::to_string(value)});
    }
    std::string dump() const {
        std::string ret = "{\n";
        if (!_items.empty()) {
            for (const auto &[k, v] : _items) ret += "    \"" + k + "\": " + v + ",\n";
            ret.erase(ret.end() - 2);
        }
        ret += "}";
        return ret;
    }
} jdump;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for (int i = (begin), i##_end_ = (end); i < i##_end_; i++)
#define IFOR(i, begin, end) for (int i = (end)-1, i##_begin_ = (begin); i >= i##_begin_; i--)
#define REP(i, n) FOR(i, 0, n)
#define IREP(i, n) IFOR(i, 0, n)
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) {
    return (num > 0 ? num / den : -((-num + den - 1) / den));
}
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) {
    return std::make_pair(l.first + r.first, l.second + r.second);
}
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) {
    return std::make_pair(l.first - r.first, l.second - r.second);
}
template <class T> std::vector<T> sort_unique(std::vector<T> vec) {
    sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end());
    return vec;
}
template <class T> int arglb(const std::vector<T> &v, const T &x) {
    return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x));
}
template <class T> int argub(const std::vector<T> &v, const T &x) {
    return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x));
}
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) {
    for (auto &v : vec) is >> v;
    return is;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH>
OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) {
    os << '[';
    for (auto v : vec) os << v << ',';
    os << ']';
    return os;
}
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) {
    os << '[';
    for (auto v : arr) os << v << ',';
    os << ']';
    return os;
}
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) {
    std::apply([&is](auto &&...args) { ((is >> args), ...); }, tpl);
    return is;
}
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) {
    os << '(';
    std::apply([&os](auto &&...args) { ((os << args << ','), ...); }, tpl);
    return os << ')';
}
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) {
    os << '{';
    for (auto v : vec) os << v << ',';
    os << '}';
    return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) {
    os << "deq[";
    for (auto v : vec) os << v << ',';
    os << ']';
    return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) {
    os << '{';
    for (auto v : vec) os << v << ',';
    os << '}';
    return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) {
    os << '{';
    for (auto v : vec) os << v << ',';
    os << '}';
    return os;
}
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) {
    os << '{';
    for (auto v : vec) os << v << ',';
    os << '}';
    return os;
}
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) {
    return os << '(' << pa.first << ',' << pa.second << ')';
}
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) {
    os << '{';
    for (auto v : mp) os << v.first << "=>" << v.second << ',';
    os << '}';
    return os;
}
template <class OStream, class TK, class TV, class TH>
OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) {
    os << '{';
    for (auto v : mp) os << v.first << "=>" << v.second << ',';
    os << '}';
    return os;
}
#ifdef HITONANODE_LOCAL
const std::string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m",
                  BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m",
                  NORMAL_FAINT = "\033[0;2m";
#define dbg(x)                                                                                                        \
    std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") "        \
              << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x)                                                                                                \
    ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__      \
                        << ") " << __FILE__ << COLOR_RESET << std::endl                                               \
            : std::cerr)
#else
#define dbg(x) 0
#define dbgif(cond, x) 0
#endif
#ifdef BENCHMARK
#define dump_onlinejudge(x) 0
struct setenv {
    setenv() { jdump.set_dump_at_end(); }
} setenv_;
#else
#define dump_onlinejudge(x) (std::cout << (x) << std::endl)
#endif
using namespace std;
using lint = long long;
using pint = std::pair<int, int>;
using plint = std::pair<lint, lint>;
struct fast_ios {
    fast_ios() {
        std::cin.tie(nullptr), std::ios::sync_with_stdio(false), std::cout << std::fixed << std::setprecision(20);
    };
} fast_ios_;
constexpr int N = 45;
// void gen
constexpr lint AMIN = 100000000000000000;
constexpr lint AMAX = 1000000000000000000;
constexpr lint goalx = 500000000000000000;
constexpr lint goaly = 500000000000000000;
constexpr int MAXT = 50;
#include <cstdint>
#include <vector>
uint32_t rand_int() // XorShift random integer generator
{
    static uint32_t x = 123456789, y = 362436069, z = 521288629, w = 88675123;
    uint32_t t = x ^ (x << 11);
    x = y;
    y = z;
    z = w;
    return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
}
double rand_double() { return (double)rand_int() / UINT32_MAX; }
template <class T> void shuffle_vec(std::vector<T> &vec) {
    for (int i = 1; i < (int)vec.size(); ++i) {
        const int j = rand_int() % (i + 1);
        std::swap(vec.at(i), vec.at(j));
    }
}
#include <chrono>
#include <random>
struct rand_int_ {
    using lint = long long;
    std::mt19937 mt;
    rand_int_() : mt(std::chrono::steady_clock::now().time_since_epoch().count()) {}
    lint operator()(lint x) { return this->operator()(0, x); } // [0, x)
    lint operator()(lint l, lint r) {
        std::uniform_int_distribution<lint> d(l, r - 1);
        return d(mt);
    }
} rnd;
double eval_diversity(const array<lint, N> &A, const array<lint, N> &B, lint cx, lint cy) {
    const int Z = 360;
    // const double r = 0.9;
    const double dec = 0.05;
    const int N = A.size();
    double res = 0;
    vector<double> hi(Z, -1e18);
    REP(i, A.size()) {
        const lint a = A.at(i);
        const lint b = B.at(i);
        const double theta = atan2(b - cy, a - cx);
        int z = (theta / (2 * M_PI) + 0.5) * Z;
        // z = (z % Z + Z) % Z;
        const double dist = log10(max(abs(a - cx), abs(b - cy)) + 1);
        chmax(hi.at(z), -dist);
    }
    REP(_, 2) {
        FOR(i, 1, Z) {
            chmax(hi.at(i), hi.at(i - 1) - dec);
        }
        chmax(hi.at(0), hi.at(Z - 1) - dec);
        IFOR(i, 1, Z) {
            chmax(hi.at(i - 1), hi.at(i) - dec);
        }
        chmax(hi.at(Z - 1), hi.at(0) - dec);
    }
    return accumulate(ALL(hi), 0.0);
}
struct State {
    State *par = nullptr;
    std::vector<pint> par_op;  // par からどのような手でこれに到達するか
    int num_steps = 0;
    std::array<lint, N> A, B;
    static State gen_root(const array<lint, N> &A, const array<lint, N> &B) {
        State s;
        s.A = A;
        s.B = B;
        return s;
    }
    State gen_next(const vector<pint> ops) {
        State next;
        next.par = this;
        next.par_op = ops;
        next.num_steps = num_steps + (int)ops.size();
        next.A = A;
        next.B = B;
        for (auto [i, j] : ops) {
            lint tmpa = (next.A.at(i) + next.A.at(j)) / 2;
            lint tmpb = (next.B.at(i) + next.B.at(j)) / 2;
            next.A.at(i) = next.A.at(j) = tmpa;
            next.B.at(i) = next.B.at(j) = tmpb;
        }
        return next;
    }
    State primer() {
        vector<pint> best_ops;
        double best = AMAX;
        // const lint cx = goalx * 2 - A.at(0);
        const lint cx = goalx;
        // const lint cy = goaly * 2 - B.at(0);
        const lint cy = goaly;
        auto Anxt = A, Bnxt = B;
        REP(i, N) REP(j, i) {
            // double cur = log(1.0 * max(abs(A.at(i) - cx), abs(B.at(i) - cy)) * max(abs(A.at(j) - cx), abs(B.at(j) - cy)));
            lint a = (A.at(i) + A.at(j)) / 2;
            lint b = (B.at(i) + B.at(j)) / 2;
            // if ((A.at(0) < cx) == (a < cx)) continue;
            // if ((B.at(0) < cy) == (b < cy)) continue;
            // lint d = max(abs(a - cx), abs(b - cy));
            Anxt.at(i) = Anxt.at(j) = a;
            Bnxt.at(i) = Bnxt.at(j) = b;
            double after = eval_diversity(Anxt, Bnxt, cx, cy);
            Anxt.at(i) = A.at(i);
            Anxt.at(j) = A.at(j);
            Bnxt.at(i) = B.at(i);
            Bnxt.at(j) = B.at(j);
            // double after = log(1.0 * d * d);
            if (chmin(best, -after)) best_ops = {{i, j}};
        }
        // FOR(i, 1, N) {
        //     lint a = (A.at(0) + A.at(i)) / 2;
        //     lint b = (B.at(0) + B.at(i)) / 2;
        //     if (chmin(best, max(abs(a - center), abs(b - center)))) {
        //         best_ops = {{0, i}};
        //     }
        // }
        return gen_next(best_ops);
    }
    State greedy2() {
        lint best = AMAX;
        vector<pint> best_ops;
        // 0-i
        FOR(i, 1, N) {
            lint a = (A.at(0) + A.at(i)) / 2;
            lint b = (B.at(0) + B.at(i)) / 2;
            if (chmin(best, max(abs(a - goalx), abs(b - goaly)))) {
                best_ops = {{0, i}};
            }
        }
        // i-j, 0-i
        // i-j, 0-i, 0-j
        if (num_steps + 2 <= MAXT) {
            FOR(i, 1, N) FOR(j, 1, i) {
                const lint a1 = (A.at(i) + A.at(j)) / 2;
                const lint b1 = (B.at(i) + B.at(j)) / 2;
                {
                    const lint a = (A.at(0) + a1) / 2;
                    const lint b = (B.at(0) + b1) / 2;
                    if (chmin(best, max(abs(a - goalx), abs(b - goaly)))) {
                        best_ops = {{i, j}, {0, i}};
                    }
                    if (num_steps + 3 <= MAXT) {
                        const lint a2 = (a + a1) / 2;
                        const lint b2 = (b + b1) / 2;
                        if (chmin(best, max(abs(a2 - goalx), abs(b2 - goaly)))) {
                            best_ops = {{i, j}, {0, i}, {0, j}};
                        }
                    }
                }
            }
        }
        return gen_next(best_ops);
    }
    lint eval_linf() const { return max(abs(A.at(0) - goalx), abs(B.at(0) - goaly)); }
};
int calc_score(lint max_v1v2) {
    if (!max_v1v2) return 2000000 + 50;
    double sol = 2000000 - 100000 * log10(max_v1v2 + 1);
    return floor(sol);
}
void experiment() {
    constexpr int D = 28;
    vector<lint> A(D), B(D);
    REP(i, D) {
        A.at(i) = rnd(AMIN, AMAX);
        B.at(i) = rnd(AMIN, AMAX);
    }
    lint best_s = 0;
    lint best = 1LL << 60;
    FOR(S, 1, 1 << D) {
        lint asum = 0, bsum = 0, num = 0;
        REP(i, D) {
            if ((S >> i) & 1) {
                asum += A.at(i);
                bsum += B.at(i);
                ++num;
            }
        }
        asum /= num;
        bsum /= num;
        const lint eval = max(abs(asum - goalx), abs(bsum - goaly));
        if (chmin(best, eval)) {
            best_s = S;
        }
        if (__builtin_popcount(S + 1) == 1) {
            dbg(make_tuple(best, best_s, S));
        }
    }
}
vector<pint> generate_seq(const State *s) {
    vector<pint> res;
    while (s->par) {
        res.insert(res.end(), s->par_op.rbegin(), s->par_op.rend());
        s = s->par;
    }
    reverse(ALL(res));
    return res;
}
int main(int argc, char *argv[]) {
    // experiment();
    // int X = 0;
    // if (argc >= 2) { X = std::stoi(argv[1]); }
    {
        int n_;
        cin >> n_;
        assert(N == n_);
    }
    array<long long, N> A, B;
    {
        for (int i = 0; i < N; i++) {
            cin >> A.at(i) >> B.at(i);
        }
    }
    vector<State> states(100000);
    states.at(0) = State::gen_root(A, B);
    int h = 0;
    while (states.at(h).num_steps < MAXT) {
        // if (true) {
        if (h % 2 != 1 or states.at(h).num_steps < MAXT * 0.5) {
            states.at(h + 1) = states.at(h).primer();
        } else {
            states.at(h + 1) = states.at(h).greedy2();
        }
        ++h;
        dbg(make_tuple(states.at(h).num_steps, states.at(h).eval_linf()));
    }
    const State *goal_state = &states.at(h);
    auto sol = generate_seq(goal_state);
    dump_onlinejudge(sol.size());
    for (auto [i, j] : sol) {
        dump_onlinejudge(to_string(i + 1) + " " + to_string(j + 1));
    }
    const lint cost = goal_state->eval_linf();
    const int score = calc_score(cost);
    jdump("score", score);
    dbg(cost);
    dbg(score);
}
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