Cod sursa(job #3304359)

Utilizator raulthestormIlie Raul Ionut raulthestorm Data 22 iulie 2025 23:18:13
Problema Zero 2 Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.21 kb
#include <fstream>

using namespace std;
const long long INF = 1LL << 62;

int nrf, fp[20], ex[20];
long long exfact[20];

ifstream f("zero2.in");
ofstream g("zero2.out");

void desc(int x)
{
    nrf = 0;
    for(int d = 2; 1LL * d * d <= x; d++)
        if(x % d == 0)
        {
            nrf++;
            fp[nrf] = d;
            ex[nrf] = 0;
            do
            {
                ex[nrf]++;
                x /= d;
            }
            while(x % d == 0);
        }
    //
    if(x > 1)
        nrf++, fp[nrf] = x, ex[nrf] = 1;
}

void expo(int n)
{
    for(int i = 1; i <= nrf; i++)
    {
        exfact[i] = 0;
        long long p = fp[i];
        //
        while(n >= p)
        {
            int k = n / p;
            exfact[i] += p * k * (k - 1) / 2;
            exfact[i] += (n - k * p + 1) * k;
            p *= fp[i];
        }
    }
}

int main()
{
    int n, B, t = 10;
    long long nrz;
    while(t--)
    {
        f >> n >> B;
        desc(B);
        expo(n);
        nrz = INF;
        for(int i = 1; i <= nrf; i++)
            nrz = min(nrz, exfact[i] / ex[i]);
        g << nrz << '\n';
    }
    f.close();
    g.close();
    return 0;
}