#914243 (C++23) No.1242 高橋君とすごろく

• 問題: No.1242 高橋君とすごろく
• ユーザー: kuhaku
• 提出日時: 2023-09-20 18:45:31
• 言語: C++23 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 2 ms / 2,000 ms
• コード長: 6,398 bytes
• コンパイル時間: 3,766 ms
• コンパイル使用メモリ: 272,248 KB
• 実行使用メモリ: 6,944 KB
• 最終ジャッジ日時: 2024-07-06 13:39:03
• 合計ジャッジ時間: 4,583 ms
• ジャッジサーバーID （参考情報）: judge3 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 6,812 KB
testcase_01	AC	2 ms; 6,940 KB
testcase_02	AC	2 ms; 6,944 KB
testcase_03	AC	1 ms; 6,940 KB
testcase_04	AC	2 ms; 6,944 KB
testcase_05	AC	1 ms; 6,940 KB
testcase_06	AC	1 ms; 6,940 KB
testcase_07	AC	2 ms; 6,940 KB
testcase_08	AC	2 ms; 6,944 KB
testcase_09	AC	2 ms; 6,940 KB
testcase_10	AC	2 ms; 6,940 KB
testcase_11	AC	1 ms; 6,940 KB
testcase_12	AC	1 ms; 6,940 KB
testcase_13	AC	1 ms; 6,940 KB
testcase_14	AC	1 ms; 6,940 KB
testcase_15	AC	2 ms; 6,940 KB
testcase_16	AC	1 ms; 6,940 KB
testcase_17	AC	1 ms; 6,940 KB
testcase_18	AC	2 ms; 6,940 KB
testcase_19	AC	1 ms; 6,940 KB
testcase_20	AC	2 ms; 6,944 KB
testcase_21	AC	2 ms; 6,940 KB
testcase_22	AC	1 ms; 6,940 KB
testcase_23	AC	2 ms; 6,944 KB
testcase_24	AC	1 ms; 6,940 KB
testcase_25	AC	2 ms; 6,940 KB
testcase_26	AC	2 ms; 6,944 KB
testcase_27	AC	2 ms; 6,940 KB

ソースコード

#line 1 "a.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/1242"
#line 2 "/home/kuhaku/atcoder/github/algo/lib/template/template.hpp"
#pragma GCC target("sse4.2,avx2,bmi2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
template <class T, class U>
bool chmax(T &a, const U &b) {
    return a < (T)b ? a = (T)b, true : false;
}
template <class T, class U>
bool chmin(T &a, const U &b) {
    return (T)b < a ? a = (T)b, true : false;
}
constexpr std::int64_t INF = 1000000000000000003;
constexpr int Inf = 1000000003;
constexpr int MOD = 1000000007;
constexpr int MOD_N = 998244353;
constexpr double EPS = 1e-7;
constexpr double PI = M_PI;
#line 2 "/home/kuhaku/atcoder/github/algo/lib/algorithm/doubling.hpp"

/**
 * @brief ダブリング
 *
 * @tparam L
 * @tparam Monoid モノイド
 */
template <int L, class Monoid = void>
struct Doubling {
  private:
    using T = Monoid::value_type;

  public:
    Doubling(int n) : _size(n), table(L, std::vector<int>(n)), data(L, std::vector<T>(n)) {}
    template <class U>
    Doubling(const std::vector<int> &to, const std::vector<U> &v) : Doubling(to.size()) {
        build(to, v);
    }

    template <class U>
    void build(const std::vector<int> &to, const std::vector<U> &v) {
        assert(to.size() == v.size());
        for (int i = 0; i < _size; ++i) {
            assert(-1 <= to[i] && to[i] < _size);
            table[0][i] = to[i];
            data[0][i] = v[i];
        }

        for (int i = 0; i < L - 1; ++i) {
            for (int j = 0; j < _size; ++j) {
                int k = table[i][j];
                if (k != -1) {
                    table[i + 1][j] = table[i][k];
                    data[i + 1][j] = Monoid::op(data[i][j], data[i][k]);
                } else {
                    table[i + 1][j] = table[i][j];
                    data[i + 1][j] = data[i][j];
                }
            }
        }
    }

    std::pair<int, T> solve(int f, std::uint64_t k) {
        T res = Monoid::id;
        for (int cnt = 0; k > 0; k >>= 1, ++cnt) {
            if (k & 1) {
                res = Monoid::op(res, data[cnt][f]);
                f = table[cnt][f];
            }
        }
        return std::make_pair(f, res);
    }

  private:
    int _size;
    std::vector<std::vector<int>> table;
    std::vector<std::vector<T>> data;
};

/**
 * @brief ダブリング
 *
 * @tparam L
 */
template <int L>
struct Doubling<L, void> {
    Doubling(int n) : _size(n), data(L, std::vector<int>(n)) {}
    Doubling(const std::vector<int> &v) : Doubling(v.size()) { build(v); }

    void build(const std::vector<int> &v) {
        for (int i = 0; i < _size; ++i) {
            assert(-1 <= v[i] && v[i] < _size);
            data[0][i] = v[i];
        }

        for (int i = 0; i < L - 1; ++i) {
            for (int j = 0; j < _size; ++j) {
                if (data[i][j] != -1) data[i + 1][j] = data[i][data[i][j]];
            }
        }
    }

    int solve(int f, std::int64_t k) {
        for (int cnt = 0; k > 0; k >>= 1, ++cnt) {
            if (k & 1) f = data[cnt][f];
        }
        return f;
    }

  private:
    int _size;
    std::vector<std::vector<int>> data;
};
#line 3 "/home/kuhaku/atcoder/github/algo/lib/template/macro.hpp"
#define FOR(i, m, n) for (int i = (m); i < int(n); ++i)
#define FORR(i, m, n) for (int i = (m)-1; i >= int(n); --i)
#define FORL(i, m, n) for (int64_t i = (m); i < int64_t(n); ++i)
#define rep(i, n) FOR (i, 0, n)
#define repn(i, n) FOR (i, 1, n + 1)
#define repr(i, n) FORR (i, n, 0)
#define repnr(i, n) FORR (i, n + 1, 1)
#define all(s) (s).begin(), (s).end()
#line 3 "/home/kuhaku/atcoder/github/algo/lib/template/sonic.hpp"
struct Sonic {
    Sonic() {
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
    }

    constexpr void operator()() const {}
} sonic;
#line 5 "/home/kuhaku/atcoder/github/algo/lib/template/atcoder.hpp"
using namespace std;
using ll = std::int64_t;
using ld = long double;
template <class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
    return is >> p.first >> p.second;
}
template <class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
    for (T &i : v) is >> i;
    return is;
}
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
    return os << '(' << p.first << ',' << p.second << ')';
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &v) {
    for (auto it = v.begin(); it != v.end(); ++it) {
        os << (it == v.begin() ? "" : " ") << *it;
    }
    return os;
}
template <class Head, class... Tail>
void co(Head &&head, Tail &&...tail) {
    if constexpr (sizeof...(tail) == 0) std::cout << head << '\n';
    else std::cout << head << ' ', co(std::forward<Tail>(tail)...);
}
template <class Head, class... Tail>
void ce(Head &&head, Tail &&...tail) {
    if constexpr (sizeof...(tail) == 0) std::cerr << head << '\n';
    else std::cerr << head << ' ', ce(std::forward<Tail>(tail)...);
}
template <typename T, typename... Args>
auto make_vector(T x, int arg, Args... args) {
    if constexpr (sizeof...(args) == 0) return std::vector<T>(arg, x);
    else return std::vector(arg, make_vector<T>(x, args...));
}
void setp(int n) {
    std::cout << std::fixed << std::setprecision(n);
}
void Yes(bool is_correct = true) {
    std::cout << (is_correct ? "Yes" : "No") << '\n';
}
void No(bool is_not_correct = true) {
    Yes(!is_not_correct);
}
void YES(bool is_correct = true) {
    std::cout << (is_correct ? "YES" : "NO") << '\n';
}
void NO(bool is_not_correct = true) {
    YES(!is_not_correct);
}
void Takahashi(bool is_correct = true) {
    std::cout << (is_correct ? "Takahashi" : "Aoki") << '\n';
}
void Aoki(bool is_not_correct = true) {
    Takahashi(!is_not_correct);
}
#line 4 "a.cpp"

int main(void) {
    ll n;
    int k;
    std::cin >> n >> k;
    std::vector<ll> a(k);
    std::cin >> a;
    std::reverse(a.begin(), a.end());
    std::vector<int> to(1 << 6);
    rep (bit, 1 << 6) {
        int f = 0;
        rep (i, 3) f |= (bit >> i & 1) && (bit >> (5 - i) & 1);
        to[bit] = ((bit << 1) | f) & ((1 << 6) - 1);
    }
    Doubling<60> db(to);
    int cur = 1;
    rep (i, k - 1) {
        cur = db.solve(cur, a[i] - a[i + 1]);
        cur |= 1;
    }
    No(db.solve(cur, a.back() - 1) & 1);

    return 0;
}