Cod sursa(job #1025987)

Utilizator danny794Dan Danaila danny794 Data 10 noiembrie 2013 21:12:40
Problema Suma si numarul divizorilor Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 1.05 kb
#include <fstream>
#include <iostream>
#include <cmath>

using namespace std;

const int NMAX = 999999;

int prime[NMAX], size, primes[100000], MOD = 9973, t;
long long N;

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

inline void getPrimes(){
	for (int i = 4; i < NMAX; i+=2)
		prime[i] = 1;
	primes[size++] = 2;
	for (int i = 3; i < NMAX; i+=2)
		if (prime[i] == 0){
			primes[size++] = i;
			for (int j = i + i ; j < NMAX; j+=i){
				prime[j] = 1;
			}
		}
}

void solve(){
	long long totalSum = 1, divisor;
	int totalDiv = 1, power;
	for (int i = 0; (1LL * primes[i] * primes[i] <= N) && (i < size); i++){
		if (N % primes[i] != 0) continue;
		power = 0;
		divisor = 1;
		while (!(N % primes[i])){
			power++;
			N /= primes[i];
			divisor*= primes[i];
		}
		totalSum*=(divisor * primes[i] - 1) / (primes[i] - 1) % MOD;
		totalDiv*=(1 + power);
	}

	if (N > 1){
		totalSum*=(1+N) % MOD;
		totalDiv*=2;
	}

	g << totalDiv << " " << totalSum % MOD << "\n";
}

int main() {
	getPrimes();
	for (f >> t; t; t--){
		f >> N;
		solve();
	}

	f.close();
	g.close();
	return 0;
}