Cod sursa(job #2601401)

Utilizator Alex_tz307Lorintz Alexandru Alex_tz307 Data 14 aprilie 2020 13:51:34
Problema Suma si numarul divizorilor Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.11 kb
#include <bits/stdc++.h>

using namespace std;

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

ifstream fin ("ssnd.in");
ofstream fout ("ssnd.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();
	fin.close();
	fout.close();
	return 0;
}