Cod sursa(job #3283569)

Utilizator amcbnCiobanu Andrei Mihai amcbn Data 9 martie 2025 20:53:59
Problema Suma si numarul divizorilor Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.03 kb
#include <bits/stdc++.h>
using namespace std;
ifstream fin("ssnd.in");
ofstream fout("ssnd.out");

const int mod = 9973;
const int nmax = 1'000'000;
bitset<nmax + 1> sieve;
vector<int> primes;

void prec() {
	sieve.set();
	sieve[0] = sieve[1] = 0;
	for (int i = 2; i <= nmax; ++i) {
		if (sieve[i]) {
			primes.emplace_back(i);
			if (i <= nmax / i) {
				for (int j = i * i; j <= nmax; j += i) {
					sieve[j] = 0;
				}
			}
		}
	}
}

void testcase() {
	long long n;
	fin >> n;
	long long nrdiv = 1, sumdiv = 1;
	for (auto& d : primes) {
		if (1ll * d * d > n) {
			break;
		}
		if (n % d == 0) {
			int e = 0;
			long long p = 1;
			while (n % d == 0) {
				++e, p *= d;
				n /= d;
			}
			nrdiv = nrdiv * (e + 1) % mod;
			sumdiv = sumdiv * ((p * d - 1) / (d - 1) % mod) % mod;
		}
	}
	if (n > 1) {
		nrdiv = nrdiv * 2 % mod;
		sumdiv = sumdiv * ((n + 1) % mod) % mod;
	}
	fout << nrdiv << " " << sumdiv << "\n";
}

int main() {
	prec();
	int tc;
	fin >> tc;
	while (tc--) {
		testcase();
	}
}