結果

問題 No.797 Noelちゃんとピラミッド
ユーザー furuya1223furuya1223
提出日時 2020-08-14 21:28:32
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 52 ms / 2,000 ms
コード長 10,318 bytes
コンパイル時間 1,519 ms
コンパイル使用メモリ 131,732 KB
実行使用メモリ 6,272 KB
最終ジャッジ日時 2024-04-18 20:40:20
合計ジャッジ時間 4,845 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
（要ログイン）

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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 50 ms
6,144 KB
testcase_04 AC 50 ms
6,272 KB
testcase_05 AC 52 ms
6,272 KB
testcase_06 AC 52 ms
6,144 KB
testcase_07 AC 51 ms
6,144 KB
testcase_08 AC 50 ms
6,016 KB
testcase_09 AC 49 ms
6,144 KB
testcase_10 AC 48 ms
6,144 KB
testcase_11 AC 50 ms
6,272 KB
testcase_12 AC 52 ms
6,016 KB
testcase_13 AC 51 ms
6,144 KB
testcase_14 AC 50 ms
6,144 KB
testcase_15 AC 50 ms
6,144 KB
testcase_16 AC 50 ms
6,016 KB
testcase_17 AC 50 ms
6,144 KB
testcase_18 AC 51 ms
6,272 KB
testcase_19 AC 51 ms
6,144 KB
testcase_20 AC 51 ms
6,272 KB
testcase_21 AC 49 ms
6,144 KB
testcase_22 AC 50 ms
6,272 KB
testcase_23 AC 37 ms
5,376 KB
testcase_24 AC 12 ms
5,376 KB
testcase_25 AC 30 ms
5,376 KB
testcase_26 AC 29 ms
5,376 KB
testcase_27 AC 50 ms
6,144 KB
testcase_28 AC 42 ms
5,888 KB
testcase_29 AC 8 ms
5,376 KB
testcase_30 AC 12 ms
5,376 KB
testcase_31 AC 36 ms
5,376 KB
testcase_32 AC 16 ms
5,376 KB
testcase_33 AC 28 ms
5,376 KB
testcase_34 AC 22 ms
5,376 KB
testcase_35 AC 47 ms
6,016 KB
testcase_36 AC 6 ms
5,376 KB
testcase_37 AC 45 ms
5,760 KB
testcase_38 AC 47 ms
5,888 KB
testcase_39 AC 30 ms
5,376 KB
testcase_40 AC 7 ms
5,376 KB
testcase_41 AC 10 ms
5,376 KB
testcase_42 AC 29 ms
5,376 KB
testcase_43 AC 2 ms
5,376 KB
testcase_44 AC 2 ms
5,376 KB
testcase_45 AC 2 ms
5,376 KB
testcase_46 AC 1 ms
5,376 KB
testcase_47 AC 2 ms
5,376 KB
testcase_48 AC 2 ms
5,376 KB
testcase_49 AC 2 ms
5,376 KB
testcase_50 AC 2 ms
5,376 KB
testcase_51 AC 2 ms
5,376 KB
testcase_52 AC 1 ms
5,376 KB
testcase_53 AC 2 ms
5,376 KB
testcase_54 AC 1 ms
5,376 KB
testcase_55 AC 2 ms
5,376 KB
testcase_56 AC 2 ms
5,376 KB
testcase_57 AC 2 ms
5,376 KB
testcase_58 AC 2 ms
5,376 KB
testcase_59 AC 2 ms
5,376 KB
testcase_60 AC 2 ms
5,376 KB
testcase_61 AC 2 ms
5,376 KB
testcase_62 AC 2 ms
5,376 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

diff # 

#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdint>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <queue>
#include <random>
#include <regex>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <sys/timeb.h>
#include <vector>

using namespace std;

#define repr(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define rep(i, n) repr(i, 0, n)
#define reprrev(i, a, b) for (int i = (int)(b)-1; i >= (int)(a); i--)
#define reprev(i, n) reprrev(i, 0, n)
#define repi(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define chmin(mi, value) mi = min(mi, value)
#define chmax(ma, value) ma = max(ma, value)
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define mp make_pair
#define mt make_tuple
#define INF 1050000000
#define INFR INT_MAX
#define INFL (long long)(4e18)
#define INFLR LLONG_MAX
#define EPS (1e-10)
#define MOD 1000000007
// #define MOD 998244353
#define PI 3.141592653589793238
#define RMAX 4294967295

using vi = vector<int>;
using vvi = vector<vector<int>>;
using vvvi = vector<vector<vector<int>>>;
using vvvvi = vector<vector<vector<vector<int>>>>;
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vector<ll>>;
using vvvll = vector<vector<vector<ll>>>;
using vd = vector<double>;
using vvd = vector<vd>;
using vvvd = vector<vvd>;
using vvvvd = vector<vvvd>;
using vb = vector<bool>;
using vvb = vector<vector<bool>>;
using vc = vector<char>;
using vvc = vector<vector<char>>;
using vs = vector<string>;
using vvs = vector<vector<string>>;
using Pi = pair<int, int>;
using vPi = vector<Pi>;
using vvPi = vector<vector<Pi>>;
using vvvPi = vector<vector<vector<Pi>>>;
using vvvvPi = vector<vector<vector<vector<Pi>>>>;
using Pll = pair<ll, ll>;
using vPll = vector<Pll>;
using Pd = pair<double, double>;
using vPd = vector<Pd>;
template <class T>
using vec = vector<T>;
template <class T>
using pql = priority_queue<T, vector<T>, greater<T>>;
using Comp = complex<double>;

// vvvvvvvvvvvvvvvvvvvvvvv debug output vvvvvvvvvvvvvvvvvvvvvvv
// vector input
template <typename T>
istream &operator>>(istream &is, vector<T> &vec) {
    for (T &x : vec) is >> x;
    return is;
}
// pair
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &pair_var) {
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}
// vector
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &vec) {
    os << "{";
    for (int i = 0; i < vec.size(); i++) {
        os << vec[i] << (i + 1 == vec.size() ? "" : ", ");
    }
    os << "}";
    return os;
}
// deque
template <typename T>
ostream &operator<<(ostream &os, const deque<T> &vec) {
    os << "{";
    for (int i = 0; i < vec.size(); i++) {
        os << vec[i] << (i + 1 == vec.size() ? "" : ", ");
    }
    os << "}";
    return os;
}
// map
template <typename T, typename U>
ostream &operator<<(ostream &os, const map<T, U> &map_var) {
    os << "{";
    repi(itr, map_var) {
        os << *itr;
        itr++;
        if (itr != map_var.end()) os << ", ";
        itr--;
    }
    os << "}";
    return os;
}
// set
template <typename T>
ostream &operator<<(ostream &os, const set<T> &set_var) {
    os << "{";
    repi(itr, set_var) {
        os << *itr;
        itr++;
        if (itr != set_var.end()) os << ", ";
        itr--;
    }
    os << "}";
    return os;
}
// multiset
template <typename T>
ostream &operator<<(ostream &os, const multiset<T> &set_var) {
    os << "{";
    repi(itr, set_var) {
        os << *itr;
        itr++;
        if (itr != set_var.end()) os << ", ";
        itr--;
    }
    os << "}";
    return os;
}

#define DUMPOUT cerr

void dump_func() {
    DUMPOUT << endl;
}
template <class Head, class... Tail>
void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) {
        DUMPOUT << ", ";
    }
    dump_func(std::move(tail)...);
}
#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                  \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                    \
            << "    ",                                                                             \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

// ^^^^^^^^^^^^^^^^^^^^^^^ debug output ^^^^^^^^^^^^^^^^^^^^^^^

random_device seed_gen;
mt19937 engine(seed_gen());

string YN(bool y, int id = 0) {
    if (id) cout << id;
    return (y ? "YES" : "NO");
}
string yn(bool y, int id = 0) {
    if (id) cout << id;
    return (y ? "Yes" : "No");
}
string ON(bool y, int id = 0) {
    if (id) cout << id;
    return (y ? "OK" : "NG");
}

int dir4[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
vector<char> dirchar = {'R', 'L', 'D', 'U'};
int dir8[8][2] = {{-1, -1}, {0, -1}, {1, -1}, {-1, 0}, {1, 0}, {-1, 1}, {0, 1}, {1, 1}};

// [a,b)
int irand(int a, int b) {
    static mt19937 Rand(static_cast<unsigned int>(time(nullptr)));
    uniform_int_distribution<int> dist(a, b - 1);
    return dist(Rand);
}

// [a,b)
double drand(int a, int b) {
    static mt19937 Rand(static_cast<unsigned int>(time(nullptr)));
    uniform_real_distribution<double> dist(a, b);
    return dist(Rand);
}

// https://qiita.com/IgnorantCoder/items/3101d6276e9bdddf872c
template <typename A, typename F>
inline auto transform(const A &v, F &&f) {
    using result_type = decltype(std::declval<F>()(std::declval<typename A::value_type>()));
    vector<result_type> y(v.size());
    std::transform(std::cbegin(v), std::cend(v), std::begin(y), f);
    return y;
}

// generate vector which has multiple dimension
template <class T>
vector<T> make_v(size_t size, const T &init) {
    return vector<T>(size, init);
}
template <class... Ts>
auto make_v(size_t size, Ts... rest) {
    return vector<decltype(make_v(rest...))>(size, make_v(rest...));
}

template <typename T>
T Max(const vector<T> &a) {
    return *max_element(all(a));
}
template <typename T>
T Min(const vector<T> &a) {
    return *min_element(all(a));
}
template <typename T>
T Sum(const vector<T> &a) {
    return accumulate(all(a), (T)0);
}

// for counting using map
template <typename T>
void Add(map<T, int> &m, T item) {
    if (m.find(item) == m.end()) {
        m[item] = 1;
    } else {
        m[item]++;
    }
}

// for counting using map
template <typename T>
void Erase(map<T, int> &m, T item) {
    if (m.find(item) == m.end()) {
    } else {
        m[item]--;
        if (m[item] == 0) {
            m.erase(item);
        }
    }
}

// get method for map with default value
template <typename T, typename U>
U Get(map<T, U> m, T key, U def) {
    if (m.find(key) == m.end()) {
        return def;
    } else {
        return m[key];
    }
}

template <typename T>
inline bool Contains(const set<T> &t, const T &key) {
    return t.find(key) != t.end();
}

template <typename T, typename U>
inline bool Contains(const map<T, U> &t, const T &key) {
    return t.find(key) != t.end();
}

template <class T>
struct Edge {
    int from, to;
    T cost;
    Edge(int f, int t, T c) : from(f), to(t), cost(c) {}
    Edge() {}
};
template <class T>
bool operator<(const Edge<T> e1, const Edge<T> e2) {
    return e1.cost < e2.cost || (e1.cost == e2.cost && e1.from < e2.from) ||
           (e1.cost == e2.cost && e1.from == e2.from && e1.to < e2.to);
}

template <class T>
ostream &operator<<(ostream &os, const Edge<T> &edge) {
    os << "(" << edge.from << "->" << edge.to << ":" << edge.cost << ")";
    return os;
}

template <class T = int>
class Graph {
    int n;
    bool directed;

  public:
    vector<vector<Edge<T>>> edges;
    Graph(int n, bool directed) : n(n), directed(directed), edges(vector<vector<Edge<T>>>(n)) {}
    Graph() {}

    void add_edge(int s, int t, T cost) {
        edges[s].emplace_back(s, t, cost);
        if (!directed) {
            edges[t].emplace_back(t, s, cost);
        }
    }
    void add_edge(Edge<T> e) {
        edges[e.from].push_back(e);
        if (!directed) {
            edges[e.to].emplace_back(e.to, e.from, e.cost);
        }
    }

    vector<Edge<T>> &operator[](size_t i) {
        return edges[i];
    }
    int size() const {
        return n;
    }
};

//======================================================
// 階乗・組み合わせの mod 逆数
class FactorialMod {
    // 逆元を計算 (modが素数と仮定)
    void calc_inverse() {
        inverse[0] = 0;
        inverse[1] = 1;
        for (int i = 2; i <= n; i++) {
            inverse[i] = mod - ((mod / i) * inverse[mod % i] % mod);
        }
    }

    // n! を mod で割った余りと逆元を計算
    void calc_factorial_inverse() {
        factorial[0] = factorial_inverse[0] = 1;
        for (int i = 1; i <= n; i++) {
            factorial[i] = (factorial[i - 1] * i) % mod;
            factorial_inverse[i] = (factorial_inverse[i - 1] * inverse[i]) % mod;
        }
    }

  public:
    int n;                               // 扱う最大の値
    int mod;                             // mod の法（素数）
    vector<long long> inverse;           // 逆元
    vector<long long> factorial;         // 階乗
    vector<long long> factorial_inverse; // 階乗の逆元

    FactorialMod(int _n, int _mod)
        : n(_n), mod(_mod), inverse(_n + 1), factorial(_n + 1), factorial_inverse(_n + 1) {
        calc_inverse();
        calc_factorial_inverse();
    }

    long long combination_mod(int r, int k) {
        if (r == 0 && k == 0) return 1;
        if (r <= 0 || k < 0 || k > r) return 0;
        if (k == 0) return 1;

        return (((factorial[r] * factorial_inverse[k]) % mod) * factorial_inverse[r - k]) % mod;
    }
};


int main(void) {
    int N;
    cin>>N;
    vi A(N);
    rep(i, N){
        cin >> A[i];
    }

    FactorialMod fm(N, MOD);

    ll ans = 0;
    rep(i,N){
        dump(A[i], fm.combination_mod(N-1, i));
        ans += A[i] * fm.combination_mod(N-1, i);
        ans %= MOD;
    }
    cout<<ans<<endl;
    
    return 0;
}
0