Cod sursa(job #2159473)

Utilizator Daniel_ApopeiDaniel Apopei Daniel_Apopei Data 10 martie 2018 22:51:15
Problema Suma si numarul divizorilor Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 1.27 kb
#include <bits/stdc++.h>
using namespace std;
ifstream f("ssnd.in");
ofstream g("ssnd.out");

const int MAX_N=1000005;
const int MOD=9973;

long long N;
int T, K, P[MAX_N];
bitset <MAX_N> viz;

void ciur()
{
    for(int i=2;i<=MAX_N;i++)
    {
        if(viz[i]==0)
        {
            P[++K]=i;
            for(int j=i+i;j<MAX_N;j+=i)
                viz[i]=1;
        }
    }
}

inline int pow(int x, int p) {
    int rez = 1;
    x %= MOD;

    for(; p; p >>= 1) {
        if(p & 1) {
            rez *= x;
            rez %= MOD;
        }

        x *= x;
        x %= MOD;
    }

    return rez;
}

void solve() {
    f >> N;

    int nd = 1, sd = 1;

    for(int i = 1; i <= K && 1LL * P[i] * P[i] <= N; ++i) {
        if(N % P[i]) continue;
        int p = 0;

        while(N % P[i] == 0) {
            N /= P[i];
            ++p;
        }

        nd *= (p+1);

        int p1 = (pow(P[i], p+1) - 1) % MOD;
        int p2 = pow(P[i]-1, MOD-2) % MOD;

        sd = (((sd * p1) % MOD) * p2) % MOD;
    }

    if(N > 1) {
        nd *= 2;
        sd = (1LL*sd*(N+1) % MOD);
    }

    g << nd << " " << sd << "\n";
}
int main()
{
    ciur();
    f>>T;
    for(int i=1;i<=T;i++)
        solve();
    return 0;
}