Cod sursa(job #3326718)

Utilizator parrot279Sofi Tudose parrot279 Data 30 noiembrie 2025 10:22:52
Problema Suma si numarul divizorilor Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.54 kb
#include <bits/stdc++.h>

using namespace std;
ifstream fin("ssnd.in");
ofstream fout("ssnd.out");
const int mare = 1000000;
const int mod = 9973;
long long ridica(long long nr, int p);

bool ciur[mare+2];
int prime[mare], nrprime, t;
long long n;

int main()
{
    ciur[0] = ciur[1] = 1;
    for(int i = 2; i <= mare; ++i)
    {
        if(ciur[i] == 0)
        {
            ++nrprime; prime[nrprime] = i;

            for(int j = 2*i; j <= mare; j += i)
                ciur[j] = 1;
        }
    }

    fin>>t;
    while(t--)
    {
        fin>>n;
        long long nrdiv = 1, suma = 1;

        for(int i = 1; i <= nrprime && prime[i] * prime[i] <= n; ++i)
        {
            if(n % prime[i] != 0)
                continue;

            int d = 0;
            while(n % prime[i] == 0)
            {
                ++d;
                n /= prime[i];
            }
            nrdiv = nrdiv * (d+1) % mod;
            suma = suma * (ridica(prime[i], d+1) - 1 + mod) % mod;
            suma = suma * ridica(prime[i]-1, mod-2) % mod;
        }
        if(n != 1)
        {
            nrdiv = nrdiv * 2 % mod;
            suma = suma * (ridica(n, 2) - 1 + mod) % mod;
            suma = suma * ridica(n-1, mod-2) % mod;
        }
        fout<<nrdiv<<" "<<suma<<"\n";
    }



    return 0;
}

long long ridica(long long nr, int p)
{
    long long rez = 1;
    while(p)
    {
        if(p % 2)
            rez = rez * nr % mod;
        nr = nr * nr % mod;
        p /= 2;
    }
    return rez;
}