Cod sursa(job #1108357)

Utilizator addy01adrian dumitrache addy01 Data 15 februarie 2014 16:50:47
Problema Suma si numarul divizorilor Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 1.44 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)
{
    int i,d,p;
    int lim=x,y;
    int nr=1,sum=1;
    for(y=1,i=prime[y];i*i<=lim&&x!=1&&y<=ct;y++)
        {
            i=prime[y];
            if(x%i==0)
        {
            p=i;
            d=0;
            while(x%i==0)
            {
                x=x/i;
                d++;
            }
            nr=nr*(d+1);
            sum=(sum % mod)*((lgpow(p,d+1)-1)%mod)*(lgpow(p-1,mod-2)%mod);
        }
        }
        if(x!=1)
        {
            nr*=2;
            sum=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;
}