Cod sursa(job #481516)

Utilizator Mishu91Andrei Misarca Mishu91 Data 31 august 2010 20:03:05
Problema Suma si numarul divizorilor Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 1.03 kb
#include <fstream>
#include <bitset>

using namespace std;

const int MAX_N = 1000005;
const int MAX_P = 100005;
const int MOD = 9973;

ifstream fin ("ssnd.in");
ofstream fout ("ssnd.out");

long long N;
int T, P[MAX_P], K;
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;

	long long n = N;
	for(int i = 1; 1LL * P[i] * P[i] <= N; ++i) {
		if(N % P[i]) continue;
		int p = 0, s = 1;
		
		while(n % P[i] == 0) {
			n /= P[i];
			s *= P[i];
			++p;
		}
		
		nd *= (p+1);
		sd *= ((1LL*s*P[i] - 1) % MOD);
		sd %= MOD;
		sd *= pow(P[i]-1, MOD-2);
		sd %= 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();
}