#722141 (C++17(gcc12)) No.408 五輪ピック

• 問題: No.408 五輪ピック
• ユーザー: hitonanode
• 提出日時: 2021-12-06 02:20:35
• 言語: C++17(gcc12) (gcc 12.3.0 + boost 1.87.0)
• 結果: CE (最新)
  AC
  (最初)
• 実行時間: -
• コード長: 5,187 bytes
• コンパイル時間: 2,786 ms
• コンパイル使用メモリ: 131,924 KB
• 最終ジャッジ日時: 2025-01-26 05:32:19
• ジャッジサーバーID （参考情報）: judge3 / judge4

コンパイルメッセージ

In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/vector:64,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/bits/random.h:34,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/random:49,
                 from main.cpp:8:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/bits/stl_vector.h: In instantiation of 'constexpr std::vector<_Tp, _Alloc>::size_type std::vector<_Tp, _Alloc>::size() const [with _Tp = std::tuple<int, int, Nimber>; _Alloc = std::allocator<std::tuple<int, int, Nimber> >; size_type = long unsigned int]':
main.cpp:119:33:   required from here
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/bits/stl_vector.h:990:50: error: invalid use of incomplete type 'class std::tuple<int, int, Nimber>'
  990 |       { return size_type(this->_M_impl._M_finish - this->_M_impl._M_start); }
      |                          ~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/bits/stl_algobase.h:64,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/algorithm:60,
                 from main.cpp:2:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/bits/stl_pair.h:90:11: note: declaration of 'class std::tuple<int, int, Nimber>'
   90 |     class tuple;
      |           ^~~~~
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/bits/stl_pair.h:60:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/type_traits: In substitution of 'template<class _Tp, class ... _Args> using __is_nothrow_constructible_impl = std::__bool_constant<__is_nothrow_constructible(_Tp)> [with _Tp = std::tuple<int, int, Nimber>; _Args = {int&, int&, Nimber&}]':
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.4.0/include/c++/12/type_traits:1047:12:   required from 'struct std::is_nothrow_constructible<st

ソースコード

#define PROBLEM "https://yukicoder.me/problems/no/408"
#include <algorithm>
#include <array>
#include <cassert>
#include <chrono>
#include <iostream>
#include <numeric>
#include <random>
#include <utility>
#include <vector>
using namespace std;


// Nimber (64 bit)
// Reference:
// - https://en.wikipedia.org/wiki/Nimber
// - https://kyopro-friends.hatenablog.com/entry/2020/04/07/195850
// - https://judge.yosupo.jp/submission/4542 (implementation idea)
struct Nimber {
    using ull = unsigned long long;
    ull v;
    const static std::array<std::array<unsigned, 256>, 256> small_table;
    const static std::array<std::array<std::array<ull, 256>, 8>, 8> precalc;

    explicit operator bool() const { return v != 0; }
    Nimber(ull val = 0) : v(val) {}
    Nimber operator+(const Nimber &x) const { return Nimber(v ^ x.v); }
    Nimber operator-(const Nimber &x) const { return Nimber(v ^ x.v); }
    Nimber operator-() const { return *this; }
    Nimber &operator+=(const Nimber &x) { return *this = *this + x; }
    Nimber &operator-=(const Nimber &x) { return *this = *this + x; }
    template <class IStream> friend IStream &operator>>(IStream &is, Nimber &x) {
        ull v;
        return is >> v, x = Nimber(v), is;
    }
    template <class OStream> friend OStream &operator<<(OStream &os, const Nimber &x) {
        return os << x.v;
    }
    bool operator==(const Nimber &x) const { return v == x.v; }
    bool operator!=(const Nimber &x) const { return v != x.v; }
    bool operator<(const Nimber &x) const { return v < x.v; }

    static ull _rec(ull x, ull y) {
        if (x == 0 or y == 0) return 0;
        if (x < y) x ^= y, y ^= x, x ^= y; // Make x >= y
        if (y == 1) return x;
        for (int shift = 64 / 2;; shift >>= 1) {
            ull mask = (1ULL << shift) - 1;
            if (y >> shift) {
                ull v00 = _rec(x & mask, y & mask);
                ull v01 = _rec(x & mask, y >> shift);
                ull v10 = _rec(x >> shift, y & mask);
                ull v11 = _rec(x >> shift, y >> shift);
                return v00 ^ ((v01 ^ v10 ^ v11) << shift) ^ _rec(v11, 1ULL << (shift - 1));
            } else if (x >> shift) {
                return (_rec(x >> shift, y) << shift) ^ _rec(x & mask, y);
            }
        }
    }
    Nimber operator*(const Nimber &x) const {
        ull ret = 0;
        for (int d = 0; d < 8; ++d) {
            for (int e = 0; e < 8; ++e) {
                ret ^= precalc[d][e][small_table[(v >> (d * 8)) & 255][(x.v >> (e * 8)) & 255]];
            }
        }
        return Nimber(ret);
    }
    Nimber &operator*=(const Nimber &x) { return *this = *this * x; }
};

const std::array<std::array<unsigned, 256>, 256> Nimber::small_table = []() {
    std::array<std::array<unsigned, 256>, 256> ret;
    for (int i = 0; i < 256; ++i) {
        for (int j = 0; j < 256; ++j) ret[i][j] = _rec(i, j);
    }
    return ret;
}();
const std::array<std::array<std::array<unsigned long long, 256>, 8>, 8> Nimber::precalc = []() {
    std::array<std::array<std::array<unsigned long long, 256>, 8>, 8> ret;
    for (int d = 0; d < 8; ++d) {
        for (int e = 0; e < 8; ++e) {
            ull p = _rec(1ULL << (8 * d), 1ULL << (8 * e));
            for (int i = 0; i < 256; ++i) ret[d][e][i] = _rec(p, i);
        }
    }
    return ret;
}();

struct rand_int_ {
    using lint = long long;
    mt19937 mt;
    rand_int_() : mt(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) {
        uniform_int_distribution<lint> d(l, r - 1);
        return d(mt);
    }
} rnd;


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

    int N, M;
    cin >> N >> M;
    vector<tuple<int, int, Nimber>> edges;
    vector<vector<int>> eids(N + 1);

    while (M--) {
        int a, b;
        cin >> a >> b;
        --a, --b;

        Nimber w = rnd(1LL << 62);
        Nimber wn = rnd(1LL << 62);

        auto add_edge = [&](int s, int t, Nimber w) {
            int eid = edges.size();

            eids[s].push_back(eid);
            edges.emplace_back(s, t, w);

            eids[t].push_back(eid + 1);
            edges.emplace_back(t, s, w);
        };

        add_edge(a, b, w);
        if (a == 0) add_edge(b, N, wn);
        if (b == 0) add_edge(a, N, wn);
    }

    vector<Nimber> dp(edges.size());
    for (int e = 0; e < int(edges.size()); ++e) {
        auto [s, t, w] = edges[e];
        if (s == 0) dp[e] = w;
    }

    for (int t = 0; t < 4; ++t) {
        vector<Nimber> dpnxt(edges.size());
        for (int now = 0; now < N; ++now) {
            Nimber sum = 0;
            for (auto e : eids[now]) {
                // e : now から出る
                // e ^ 1 : now に入る
                sum += dp[e ^ 1];
            }
            for (auto e : eids[now]) {
                auto [s, t, w] = edges[e];
                if (t != 0) dpnxt[e] += (sum - dp[e ^ 1]) * w;
            }
        }
        dp.swap(dpnxt);
    }
    for (auto e : eids[N]) {
        if (dp[e ^ 1]) {
            puts("YES");
            return 0;
        }
    }
    puts("NO");
}