#981153 (C++23) No.1857 Gacha Addiction

提出ソース

結果

問題	No.1857 Gacha Addiction
ユーザー	ebi_fly
提出日時	2024-05-11 14:45:00
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	233 ms / 6,000 ms
コード長	10,037 bytes
コンパイル時間	5,297 ms
コンパイル使用メモリ	298,880 KB
実行使用メモリ	20,488 KB
最終ジャッジ日時	2024-05-11 14:45:16
合計ジャッジ時間	13,392 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

このコードへのチャレンジ
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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	1 ms 6,812 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	1 ms 6,944 KB
testcase_03	AC	2 ms 6,948 KB
testcase_04	AC	4 ms 6,940 KB
testcase_05	AC	4 ms 6,940 KB
testcase_06	AC	4 ms 6,944 KB
testcase_07	AC	4 ms 6,940 KB
testcase_08	AC	4 ms 6,940 KB
testcase_09	AC	59 ms 8,960 KB
testcase_10	AC	61 ms 8,960 KB
testcase_11	AC	60 ms 8,960 KB
testcase_12	AC	60 ms 9,088 KB
testcase_13	AC	59 ms 8,960 KB
testcase_14	AC	203 ms 20,352 KB
testcase_15	AC	201 ms 20,376 KB
testcase_16	AC	210 ms 20,440 KB
testcase_17	AC	206 ms 20,440 KB
testcase_18	AC	205 ms 20,440 KB
testcase_19	AC	201 ms 20,488 KB
testcase_20	AC	224 ms 20,480 KB
testcase_21	AC	201 ms 20,480 KB
testcase_22	AC	203 ms 20,352 KB
testcase_23	AC	203 ms 20,456 KB
testcase_24	AC	203 ms 20,352 KB
testcase_25	AC	209 ms 20,436 KB
testcase_26	AC	206 ms 20,356 KB
testcase_27	AC	209 ms 20,352 KB
testcase_28	AC	207 ms 20,480 KB
testcase_29	AC	233 ms 20,352 KB
testcase_30	AC	208 ms 20,352 KB
testcase_31	AC	207 ms 20,352 KB
testcase_32	AC	212 ms 20,380 KB
testcase_33	AC	203 ms 20,344 KB
testcase_34	AC	204 ms 20,344 KB
testcase_35	AC	228 ms 20,384 KB
testcase_36	AC	207 ms 20,352 KB
testcase_37	AC	204 ms 20,348 KB
testcase_38	AC	203 ms 20,368 KB
testcase_39	AC	66 ms 9,728 KB
testcase_40	AC	71 ms 10,112 KB
testcase_41	AC	88 ms 11,648 KB
testcase_42	AC	18 ms 6,944 KB
testcase_43	AC	206 ms 18,560 KB
testcase_44	AC	199 ms 20,352 KB
testcase_45	AC	2 ms 6,940 KB
testcase_46	AC	2 ms 6,940 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

#line 1 "template/template.hpp"
#include <bits/stdc++.h>

#define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++)
#define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--)
#define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++)
#define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()

#line 2 "template/debug_template.hpp"

#line 4 "template/debug_template.hpp"

namespace ebi {

#ifdef LOCAL
#define debug(...)                                                      \
    std::cerr << "LINE: " << __LINE__ << "  [" << #__VA_ARGS__ << "]:", \
        debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out() {
    std::cerr << std::endl;
}

template <typename Head, typename... Tail> void debug_out(Head h, Tail... t) {
    std::cerr << " " << h;
    if (sizeof...(t) > 0) std::cerr << " :";
    debug_out(t...);
}

}  // namespace ebi
#line 2 "template/int_alias.hpp"

#line 4 "template/int_alias.hpp"

namespace ebi {

using ld = long double;
using std::size_t;
using i8 = std::int8_t;
using u8 = std::uint8_t;
using i16 = std::int16_t;
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;

}  // namespace ebi
#line 2 "template/io.hpp"

#line 5 "template/io.hpp"
#include <optional>
#line 7 "template/io.hpp"

namespace ebi {

template <typename T1, typename T2>
std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa) {
    return os << pa.first << " " << pa.second;
}

template <typename T1, typename T2>
std::istream &operator>>(std::istream &os, std::pair<T1, T2> &pa) {
    return os >> pa.first >> pa.second;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) {
    for (std::size_t i = 0; i < vec.size(); i++)
        os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    return os;
}

template <typename T>
std::istream &operator>>(std::istream &os, std::vector<T> &vec) {
    for (T &e : vec) std::cin >> e;
    return os;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::optional<T> &opt) {
    if (opt) {
        os << opt.value();
    } else {
        os << "invalid value";
    }
    return os;
}

void fast_io() {
    std::cout << std::fixed << std::setprecision(15);
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
}

}  // namespace ebi
#line 2 "template/utility.hpp"

#line 5 "template/utility.hpp"

#line 2 "graph/base.hpp"

#line 5 "graph/base.hpp"
#include <ranges>
#line 7 "graph/base.hpp"

#line 2 "data_structure/simple_csr.hpp"

#line 6 "data_structure/simple_csr.hpp"

namespace ebi {

template <class E> struct simple_csr {
    simple_csr() = default;

    simple_csr(int n, const std::vector<std::pair<int, E>>& elements)
        : start(n + 1, 0), elist(elements.size()) {
        for (auto e : elements) {
            start[e.first + 1]++;
        }
        for (auto i : std::views::iota(0, n)) {
            start[i + 1] += start[i];
        }
        auto counter = start;
        for (auto [i, e] : elements) {
            elist[counter[i]++] = e;
        }
    }

    simple_csr(const std::vector<std::vector<E>>& es)
        : start(es.size() + 1, 0) {
        int n = es.size();
        for (auto i : std::views::iota(0, n)) {
            start[i + 1] = (int)es[i].size() + start[i];
        }
        elist.resize(start.back());
        for (auto i : std::views::iota(0, n)) {
            std::copy(es[i].begin(), es[i].end(), elist.begin() + start[i]);
        }
    }

    int size() const {
        return (int)start.size() - 1;
    }

    const auto operator[](int i) const {
        return std::ranges::subrange(elist.begin() + start[i],
                                     elist.begin() + start[i + 1]);
    }
    auto operator[](int i) {
        return std::ranges::subrange(elist.begin() + start[i],
                                     elist.begin() + start[i + 1]);
    }

    const auto operator()(int i, int l, int r) const {
        return std::ranges::subrange(elist.begin() + start[i] + l,
                                     elist.begin() + start[i + 1] + r);
    }
    auto operator()(int i, int l, int r) {
        return std::ranges::subrange(elist.begin() + start[i] + l,
                                     elist.begin() + start[i + 1] + r);
    }

  private:
    std::vector<int> start;
    std::vector<E> elist;
};

}  // namespace ebi
#line 9 "graph/base.hpp"

namespace ebi {

template <class T> struct Edge {
    int from, to;
    T cost;
    int id;
};

template <class E> struct Graph {
    using cost_type = E;
    using edge_type = Edge<cost_type>;

    Graph(int n_) : n(n_) {}

    Graph() = default;

    void add_edge(int u, int v, cost_type c) {
        buff.emplace_back(u, edge_type{u, v, c, m});
        edges.emplace_back(edge_type{u, v, c, m++});
    }

    void add_undirected_edge(int u, int v, cost_type c) {
        buff.emplace_back(u, edge_type{u, v, c, m});
        buff.emplace_back(v, edge_type{v, u, c, m});
        edges.emplace_back(edge_type{u, v, c, m});
        m++;
    }

    void read_tree(int offset = 1, bool is_weighted = false) {
        read_graph(n - 1, offset, false, is_weighted);
    }

    void read_parents(int offset = 1) {
        for (auto i : std::views::iota(1, n)) {
            int p;
            std::cin >> p;
            p -= offset;
            add_undirected_edge(p, i, 1);
        }
        build();
    }

    void read_graph(int e, int offset = 1, bool is_directed = false,
                    bool is_weighted = false) {
        for (int i = 0; i < e; i++) {
            int u, v;
            std::cin >> u >> v;
            u -= offset;
            v -= offset;
            if (is_weighted) {
                cost_type c;
                std::cin >> c;
                if (is_directed) {
                    add_edge(u, v, c);
                } else {
                    add_undirected_edge(u, v, c);
                }
            } else {
                if (is_directed) {
                    add_edge(u, v, 1);
                } else {
                    add_undirected_edge(u, v, 1);
                }
            }
        }
        build();
    }

    void build() {
        assert(!prepared);
        csr = simple_csr<edge_type>(n, buff);
        buff.clear();
        prepared = true;
    }

    int size() const {
        return n;
    }

    int node_number() const {
        return n;
    }

    int edge_number() const {
        return m;
    }

    edge_type get_edge(int i) const {
        return edges[i];
    }

    std::vector<edge_type> get_edges() const {
        return edges;
    }

    const auto operator[](int i) const {
        return csr[i];
    }
    auto operator[](int i) {
        return csr[i];
    }

  private:
    int n, m = 0;

    std::vector<std::pair<int,edge_type>> buff;

    std::vector<edge_type> edges;
    simple_csr<edge_type> csr;
    bool prepared = false;
};

}  // namespace ebi
#line 8 "template/utility.hpp"

namespace ebi {

template <class T> inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> T safe_ceil(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return (a / b) + 1;
    else
        return -((-a) / b);
}

template <class T> T safe_floor(T a, T b) {
    if (a % b == 0)
        return a / b;
    else if (a >= 0)
        return a / b;
    else
        return -((-a) / b) - 1;
}

constexpr i64 LNF = std::numeric_limits<i64>::max() / 4;

constexpr int INF = std::numeric_limits<int>::max() / 2;

const std::vector<int> dy = {1, 0, -1, 0, 1, 1, -1, -1};
const std::vector<int> dx = {0, 1, 0, -1, 1, -1, 1, -1};

}  // namespace ebi
#line 2 "a.cpp"
#include <atcoder/modint>
#include <atcoder/convolution>
#line 2 "fps/product_of_fps.hpp"

#line 5 "fps/product_of_fps.hpp"

#line 2 "modint/base.hpp"

#include <concepts>
#line 6 "modint/base.hpp"

namespace ebi {

template <class T>
concept Modint = requires(T a, T b) {
    a + b;
    a - b;
    a * b;
    a / b;
    a.inv();
    a.val();
    a.pow(std::declval<long long>());
    T::mod();
};

template <Modint mint> std::istream &operator>>(std::istream &os, mint &a) {
    long long x;
    os >> x;
    a = x;
    return os;
}

template <Modint mint>
std::ostream &operator<<(std::ostream &os, const mint &a) {
    return os << a.val();
}

}  // namespace ebi
#line 7 "fps/product_of_fps.hpp"

namespace ebi {

template <Modint mint,
          std::vector<mint> (*convolution)(const std::vector<mint> &,
                                           const std::vector<mint> &)>
std::vector<mint> product_of_fps(const std::vector<std::vector<mint>> &fs) {
    if (fs.empty()) return {1};
    std::deque<std::vector<mint>> deque;
    for (auto &f : fs) deque.push_back(f);
    while (deque.size() > 1) {
        auto f = deque.front();
        deque.pop_front();
        auto g = deque.front();
        deque.pop_front();
        deque.push_back(convolution(f, g));
    }
    return deque.front();
}

}  // namespace ebi
#line 6 "a.cpp"

namespace ebi {

using mint = atcoder::modint998244353;

void main_() {
    int n,s;
    std::cin >> n >> s;
    std::vector<int> p(n);
    std::cin >> p;
    std::vector fs(n, std::vector<mint>());
    mint inv = mint(s).inv();
    rep(i,0,n) {
        fs[i] = {1, p[i] * inv};
    }
    auto f = product_of_fps<mint, atcoder::convolution>(fs);
    mint ans = 1;
    mint fact = 1;
    rep(i,1,n+1) {
        fact *= i;
        ans += fact * f[i];
    }
    std::cout << ans << '\n';
}

}  // namespace ebi

int main() {
    ebi::fast_io();
    int t = 1;
    // std::cin >> t;
    while (t--) {
        ebi::main_();
    }
    return 0;
}

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結果

テストケース

ソースコード