Cod sursa(job #3139984)

Utilizator MilitaruMihai2022Millitaru Mihai MilitaruMihai2022 Data 3 iulie 2023 09:42:41
Problema Zero 2 Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.31 kb
#include <iostream>
#include <fstream>
#include <cmath>

using namespace std;

const long long INF = 1LL << 62;
int Fp[15], Ex[15], Nf;
long long Expf[15];

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

void desc ( int n )
{
    Nf = 0;
    for ( int d = 2; d * d <= n; d += ( d == 2 ) ? 1 : 2 )
        if ( n % d == 0 )
        {
            Nf++;
            Fp[Nf] = d;
            Ex[Nf] = 0;
            do
            {
                Ex[Nf]++;
                n /= d;
            }
            while ( n % d == 0 );
        }
    if ( n > 1 )
    {
        Nf++;
        Fp[Nf] = n;
        Ex[Nf] = 1;
    }
}

void expp ( int N )
{
    for ( int i = 1; i <= Nf; i++ )
    {
        long long pp = Fp[i];
        Expf[i] = 0;
        while ( N >= pp )
        {
            int k = N / pp;
            Expf[i] += pp * k * ( k - 1 ) / 2;
            Expf[i] += ( N - k * pp + 1 ) * k;
            pp *= Fp[i];
        }
    }
}

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