#1045776 (C++23) No.1977 Extracting at Constant Intervals

• 問題: No.1977 Extracting at Constant Intervals
• ユーザー: kuhaku
• 提出日時: 2025-02-23 21:32:31
• 言語: C++23 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 71 ms / 2,000 ms
• コード長: 6,443 bytes
• コンパイル時間: 3,997 ms
• コンパイル使用メモリ: 312,896 KB
• 実行使用メモリ: 51,564 KB
• 最終ジャッジ日時: 2025-02-23 21:32:39
• 合計ジャッジ時間: 7,415 ms
• ジャッジサーバーID （参考情報）: judge2 / judge3

ファイルパターン	結果
sample	AC * 2
other	AC * 31

ソースコード

// competitive-verifier: PROBLEM https://yukicoder.me/problems/no/843
#include <cassert>
#include <cstdint>
#include <utility>
#include <vector>
/**
 * @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 = typename Monoid::value_type;
  public:
    template <class U>
    Doubling(const std::vector<int> &to, const std::vector<U> &v) : Doubling(to.size()) {
        build(to, v);
    }
    std::pair<int, T> jump(int f, std::uint64_t k) { return solve(f, k); }
    std::pair<int, T> solve(int f, std::uint64_t k) {
        assert(-1 <= f && f < _size);
        T res = Monoid::id();
        for (int cnt = 0; k > 0; k >>= 1, ++cnt) {
            if ((k & 1) && f != -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;
    Doubling(int n) : _size(n), table(L, std::vector<int>(n)), data(L, std::vector<T>(n)) {}
    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];
                }
            }
        }
    }
};
/**
 * @brief ダブリング
 *
 * @tparam L
 */
template <int L>
struct Doubling<L, void> {
    Doubling(const std::vector<int> &v) : Doubling(v.size()) { build(v); }
    int jump(int f, std::uint64_t k) { return solve(f, k); }
    int solve(int f, std::uint64_t k) {
        assert(-1 <= f && f < _size);
        for (int cnt = 0; k > 0; k >>= 1, ++cnt) {
            if ((k & 1) && f != -1) f = table[cnt][f];
        }
        return f;
    }
    int lca(int u, int v) {
        for (int i = L - 1; i >= 0; --i) {
            if (table[u][i] != table[v][i]) u = table[u][i], v = table[v][i];
        }
        return table[u][0];
    }
  private:
    int _size;
    std::vector<std::vector<int>> table;
    Doubling(int n) : _size(n), table(L, std::vector<int>(n)) {}
    void build(const std::vector<int> &v) {
        for (int i = 0; i < _size; ++i) {
            assert(-1 <= v[i] && v[i] < _size);
            table[0][i] = v[i];
        }
        for (int i = 0; i < L - 1; ++i) {
            for (int j = 0; j < _size; ++j) {
                if (table[i][j] != -1) table[i + 1][j] = table[i][table[i][j]];
            }
        }
    }
};
#ifdef ATCODER
#pragma GCC target("sse4.2,avx512f,avx512dq,avx512ifma,avx512cd,avx512bw,avx512vl,bmi2")
#endif
#pragma GCC optimize("Ofast,fast-math,unroll-all-loops")
#include <bits/stdc++.h>
#ifndef ATCODER
#pragma GCC target("sse4.2,avx2,bmi2")
#endif
template <class T, class U>
constexpr bool chmax(T &a, const U &b) {
    return a < (T)b ? a = (T)b, true : false;
}
template <class T, class U>
constexpr 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 double EPS = 1e-7;
constexpr double PI = 3.14159265358979323846;
#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()
struct Sonic {
    Sonic() {
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
        std::cout << std::fixed << std::setprecision(20);
    }
    constexpr void operator()() const {}
} sonic;
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)...);
}
void Yes(bool is_correct = true) { std::cout << (is_correct ? "Yes\n" : "No\n"); }
void No(bool is_not_correct = true) { Yes(!is_not_correct); }
void YES(bool is_correct = true) { std::cout << (is_correct ? "YES\n" : "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); }
struct Monoid {
    using value_type = ll;
    static constexpr ll id() {
        return 0;
    }
    static constexpr ll op(const ll &lhs, const ll &rhs) {
        return lhs + rhs;
    }
};
int main(void) {
    ll n, m, l;
    cin >> n >> m >> l;
    vector<int> a(n);
    cin >> a;
    vector<int> to(n);
    rep (i, n) to[i] = (i + l) % n;
    Doubling<40, Monoid> db(to, a);
    ll r = (n * m) % l;
    ll k = (n * m) / l;
    ll ans = -INF;
    rep (i, min(r, n)) chmax(ans, db.solve(i, k + 1).second);
    rep (i, min(l - r, n)) chmax(ans, db.solve((r + i) % n, k).second);
    co(ans);
    return 0;
}