Cod sursa(job #1753973)

Utilizator loo_k01Luca Silviu Catalin loo_k01 Data 7 septembrie 2016 13:18:14
Problema Suma si numarul divizorilor Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.78 kb
#include <bits/stdc++.h>
#define p 9973
using namespace std;
bitset<1000002>a;
int prime[200008], expo[20], f[20],nrf, t, k;
ofstream fout ("ssnd.out");

void Ciur()
{
    int i,j;
    a[1]=0;
    for(i=4;i<=1000000;i=i+2)
        a[i]=1;
    for(i=3;i*i<=1000000;i=i+2)
        if(a[i]==0)
            for(j=i*i;j<=1000000;j=j+(2*i))
                    a[j]=1;
    prime[++k]=2;
    for(i=3;i<=1000000;i=i+2)
        if(a[i]==0)
          prime[++k]=i;
}

int Rid(long long a, long long x)
{
    long long prod = 1;
    while(x != 0)
    {
        if(x % 2 == 1)
        {
            x--;
            prod = (1LL * a * prod)%p;
        }
        x/=2;
        a=(1LL*a*a)%p;
    }
    return prod;
}

int NrDiv(long long n)
{
   nrf = 0;
   long long nrd = 1, d, e, i;
   d = 2; i = 1;
   while(n > 1 && (d * d <= n) && i <= k)
   {
       e = 0;
       if(n % d == 0)
       {
           f[++nrf]=d;
           while(n % d == 0)
           {
               e++;
               n/=d;
           }
           nrd*=(e+1);
           expo[nrf]=(e+1);
       }
       d=prime[++i];
   }
   if(n > 1)
   {
       f[++nrf]=n;
       nrd*=2;
       expo[nrf]=2;
   }
    return nrd;

}

void SumDiv()
{
    long long sum = 1, y;
    long long i, e, fa;
    for(i = 1; i<= nrf; i++)
    {
        fa = f[i];
        e = expo[i];
        y =Rid(fa, e)%p;
        y--;
        if(y==-1)
            y=9972;
        sum =(1LL*sum*y)%p;
        sum =(1LL*sum*(Rid(fa-1, p-2)%p))%p;
    }
    fout << sum <<"\n";
}

int main()
{
    ifstream fin ("ssnd.in");
    Ciur();
    long long i, x;
    fin >> t;
    for(i = 1; i<=t; i++)
    {
        fin >> x;
        fout << NrDiv(x) << " ";
        SumDiv();

    }
    return 0;
}