Cod sursa(job #3262307)

Utilizator alex210046Bratu Alexandru alex210046 Data 9 decembrie 2024 17:59:20
Problema Zero 2 Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.08 kb
#include <fstream>
using namespace std;
const long long INF = 1LL<<62;
long long Expf[15];
int Fp[15], Ex[15], Nf;

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;
}