Cod sursa(job #2412725)

Utilizator test1234testTester test1234test Data 22 aprilie 2019 15:05:52
Problema Suma si numarul divizorilor Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.24 kb
#include <fstream>

#include <bitset>



using namespace std;



const int MAX_N = 1000005;

const int MOD = 9973;



ifstream fin ("ajutor.in");

ofstream fout ("ajutor.out");



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[j] = 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() {

	fin >> 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);

	}



	fout << nd << " " << sd << "\n";

}



int main() {

	ciur();



	for(fin >> T; T; --T)

		solve();

}