Cod sursa(job #2854673)

Utilizator LionMan101Achim-Panescu Silvian LionMan101 Data 21 februarie 2022 17:00:55
Problema Suma si numarul divizorilor Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.43 kb
#include <iostream>
#include <bitset>

using namespace std;

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

long long N;
int T, K, P[MAX_N];
bool viz[MAX_N];

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

            for(int j = i+i; j < MAX_N; j += i) {
                viz[j] = true;
            }
        }
    }
}

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() {
    cin >> 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);
    }

    cout << nd << " " << sd << "\n";
}

int main() {
    // freopen("input.txt", "r", stdin);
    // freopen("output.txt", "w", stdout);

    freopen("ssnd.in", "r", stdin);
    freopen("ssnd.out", "w", stdout);

    ciur();
    for(cin >> T; T; --T)
        solve();
}