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Cod sursa(job #637188)
#include <cstdio>
#define MOD 9999991
int N, i, Sus, Jos, X, Y;
long long Rez, S, XX;
inline void Euclid( int A, int B, int &X, int &Y )
{
if( !B )
{
X = 1;
Y = 0;
return;
}
int X0, Y0;
Euclid( B, A%B, X0, Y0 );
Y = X0 - ( A/B )*Y0;
X = Y0;
}
int main()
{
freopen("dirichlet.in", "r", stdin);
freopen("dirichlet.out", "w", stdout);
scanf("%d", &N);
Sus = Jos = 1;
for( i = N + 2; i <= 2*N; ++i )
Sus = ( Sus *= i )%MOD;
for( i = 2; i <= N; ++i )
Jos = ( Jos *= i )%MOD;
Euclid( Jos, MOD, X, Y );
for( ; X < 0; X += MOD );
S = (long long)Sus;
XX = (long long)X;
Rez = ( S * XX )%MOD;
printf("%lld\n", Rez);
return 0;
}