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Cod sursa(job #779645)
#include <iostream>
#include <fstream>
using namespace std;
#define ll long long
#define MOD 9999991
ll N, C;
void InvMod(ll A, ll B, ll &X, ll &Y)
{
if(B == 0LL)
{
X = 1LL;
Y = 0LL;
return ;
}
InvMod(B, A % B, X, Y);
ll C, D = A / B;
C = X;
X = Y;
Y = C - Y * D;
}
int main()
{
ifstream in("dirichlet.in");
ofstream out("dirichlet.out");
ll i, A = 1, B = 1, invers = 0LL, C = 1LL, sol;
in >> N;
for(i = N + 2; i <= 2 * N; i++) A = (A * i) % MOD;
for(i = 2; i <= N; i++) B = (B * i) % MOD;
InvMod(B, MOD, invers, C);
invers %= MOD;
if(invers < 0) invers += MOD;
out << (A * invers) % MOD << "\n";
return 0;
}