Cod sursa(job #1025966)

Utilizator danny794Dan Danaila danny794 Data 10 noiembrie 2013 20:41:34
Problema Suma si numarul divizorilor Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 1.08 kb
#include <fstream>
#include <iostream>
#include <cmath>

using namespace std;

const int NMAX = 999999;

int prime[NMAX], size, primes[NMAX], MOD = 9973, t, power, totalDiv;
long long N, totalSum, divisor;

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

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 = 2 * i ; j < NMAX; j+=i){
				prime[j] = 1;
			}
		}
}

void solve(long long N){
	totalSum = 1;
	totalDiv = 1;
  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(N);
	}

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