Cod sursa(job #1108406)

Utilizator addy01adrian dumitrache addy01 Data 15 februarie 2014 17:22:45
Problema Suma si numarul divizorilor Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 1.52 kb
#include <iostream>
#include <fstream>
#define mod 9973
#define maxn 1000010
#include <cstring>
using namespace std;
ifstream in("ssnd.in");
ofstream out("ssnd.out");
bool c[maxn];
int prime[maxn];
int ct;
void ciur()
{
    int i,j;
    c[0]=1;
    c[1]=1;

    for(i=3;i*i<maxn;i+=2)
        if(c[i]==0)
            for(j=i*i;j<maxn;j=j+2*i)
                c[j]=1;
prime[++ct]=2;
      for(i=3;i<maxn;i+=2)
        if(c[i]==0)
            prime[++ct]=i;
}

int lgpow(int b,int p)
{
    if(p==0)
        return 1;
    if(p==1)
        return b%mod;
    if(p%2==0)
        return (lgpow(b*b%mod,p/2))%mod;
    else
        return (b*lgpow(b*b%mod,(p-1)/2))%mod;
}

void solve(long long x)
{
    long long i;
    long long d;
    long long nr=1,sum=1;

        for(i=1;i<=ct&&1LL*prime[i]*prime[i]<=x;i++)
        {

                if(x%prime[i]==0)
            {
                d=0;
                while(x%prime[i]==0)
                {
                    x=x/prime[i];
                    d++;
                }
                nr=nr*(d+1);
                sum=(((sum*(lgpow(prime[i],d+1)-1)%mod)%mod)*(lgpow(prime[i]-1,mod-2)%mod)%mod);
            }
            }
            if(x>1)
            {
                nr*=2;
                sum=(1LL*sum*(x+1))%mod;

        }

            out<<nr<<" "<<sum%mod<<"\n";


}

int main()
{
    int t;
    long long n;
    in>>t;
    ciur();
    while(t--)
    {
        in>>n;
        solve(n);
    }

    return 0;
}