Cod sursa(job #2780122)

Utilizator andrei_C1Andrei Chertes andrei_C1 Data 6 octombrie 2021 08:27:56
Problema Dirichlet Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 0.84 kb
///Afisam numarul lui .Catalan (de ordin N)
#include <stdio.h>
using namespace std;
FILE *fin, *fout;
const int MOD  = 9999991;
int N, a = 1, b = 1;
void euclid(int a, int b, int &d, int &x, int &y) {
    if(b == 0) {
        d = a;
        x = 1;
        y = 0;
    } else {
        int x0, y0;
        euclid(b, a % b, d, x0, y0);
        x = y0;
        y = (x0 - (a / b) * y0);
    }
}
inline int invmod(int a) {
    int x, y, d;
    euclid(a, MOD, d, x, y);
    x = (x + MOD) % MOD;
    return x;
}
int main() {
    fin = fopen("dirichlet.in", "r");
    fout = fopen("dirichlet.out", "w");
    fscanf(fin, "%d", &N);
    for(int k = 2; k <= N; k++) {
        a = (1LL * a * (N + k)) % MOD;
        b = (1LL * b * k) % MOD;
    }
    int ans = (1LL * a * invmod(b)) % MOD;
    fprintf(fout, "%d", ans);
    return 0;
}