Cod sursa(job #775106)

Utilizator igsifvevc avb igsi Data 7 august 2012 12:38:23
Problema Suma si numarul divizorilor Scor 10
Compilator c Status done
Runda Arhiva educationala Marime 1.34 kb
#include <stdio.h>

const int mod = 9973;
int primes[78499];
char isnp[500009];

void sieve();
int power(int x, int p);

int main()
{
    int i, t, p, nd, sd;
    long long n;
    FILE *in = fopen("ssnd.in", "r");
    FILE *out = fopen("ssnd.out", "w");

    sieve();

    for (fscanf (in, "%d", &t); t; --t)
    {
        fscanf (in, "%lld", &n);
        nd = 1; sd = 1;
        for (i = 1; n > 1 && i < primes[0]; ++i)
        {
            for (p = 0; n % primes[i] == 0; ++p, n /= primes[i]) ;

            if (p)
            {
                nd *= (p + 1);
                sd = (((sd * (power(primes[i], p+1)-1)) % mod) / (primes[i]-1))%mod;
            }
        }
        fprintf (out, "%d %d\n", nd, sd);
    }

    fclose(out);
    return 0;
}

int power(int x, int p)
{
    int i, r;
    for (i = 1, r = 1; i <= p; i <<= 1, x = (x*x)%mod)
        if (i & p) r = (r*x)%mod;
    return r;
}

void sieve () {
    int i, j;
    primes[0] = 1;
    primes[1] = 2;

    for (i = 1; i <= 499; ++i)
        if (!isnp[i])
        {
            primes[++primes[0]] = (i << 1) + 1;
            for (j = (i*i + i) << 1; j <= 499999; j += (i << 1) + 1)
                isnp[j] = 1;
        }
    for ( i = (primes[primes[0]] >> 1) + 1; i <= 499999; ++i)
        if (!isnp[i]) primes[++primes[0]] = (i << 1) + 1;
}