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Cod sursa(job #973424)
#include<fstream>
#define mod 9999991
using namespace std;
ifstream f("dirichlet.in");
ofstream g("dirichlet.out");
long long n,i,fact,fac2,lol,in3,inv,sol,in2,put;
int main ()
{
long long MO=mod;
f>>n;
fact=1;
for(i=2;i<n;++i)
fact=fact*i%mod;
fac2=1;
for(i=n+1;i<=2*n-1;++i)
fac2=fac2*i%mod;
put=mod-2;
inv=1;
while(put)
{
if(put&1)
inv=inv*fact%mod;
put>>=1;
fact*=fact;
fact%=mod;
}
in2=1;
fact=2;
put=mod-2;
while(put)
{
if(put&1)
in2=in2*fact%mod;
put>>=1;
fact*=fact;
fact%=mod;
}
sol=(fac2*inv+1)/2%mod;
g<<sol;
return 0;
}