Cod sursa(job #2322170)

Utilizator marius0072scarlat marius stefan marius0072 Data 17 ianuarie 2019 14:44:13
Problema Suma si numarul divizorilor Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.1 kb
#include <fstream>
#include <bitset>
 
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();
}