Cod sursa(job #2728738)

Utilizator EckchartZgarcea Robert-Andrei Eckchart Data 23 martie 2021 17:16:27
Problema Dirichlet Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 0.91 kb
#include "bits/stdc++.h"
#include <cassert>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pi = pair<int, int>;
using pll = pair<ll, ll>;
using pd = pair<double, double>;
using pld = pair<ld, ld>;
const int MAX_N = 1e6, M = 1e7 - 9;
ll mod_inverse[MAX_N + 1];


int main()
{
    ifstream cin("dirichlet.in");
    ofstream cout("dirichlet.out");

    int N;
    cin >> N;

    auto fast_exp = [](ll a, int b) -> ll
    {
        ll res{1};
        while (b)
        {
            if (b & 1)
            {
                res = (res * a) % M;
            }
            a = (a * a) % M;
            b /= 2;
        }
        return res;
    };

    ll num{1}, denom{1};
    for (int K = 2; K <= N; ++K)
    {
        num = (num * (N + K)) % M;
        denom = (denom * K) % M;
    }

    cout << (num * fast_exp(denom, M - 2)) % M;
}