Cod sursa(job #166705)

Utilizator scvalexAlexandru Scvortov scvalex Data 28 martie 2008 13:25:22
Problema Suma divizorilor Scor 0
Compilator cpp Status done
Runda Arhiva de probleme Marime 0.92 kb
#include <iostream>

#define MOD 9901

using namespace std;

long logpow(long A, long B) {
	long R(1);
	for (long i = 1 << 30; i > 0; i >>= 1) {
		R = (R * R) % MOD;
		if (i & B)
			R = (R * A) % MOD;
	}
	return R;
}

long progresie(long p, long q) {
	long a = (logpow(p, q+1) - 1 + MOD) % MOD;
	long b = p - 1;
	
	long c;
	for (c = 1; c <= MOD; ++c)
		if ((c * b) % MOD == a)
			break;
	return c % MOD;
}

int main(int argc, char *argv[]) {
	long N, K;

	FILE *fi = fopen("sumadiv.in", "r");
	fscanf(fi, "%ld %ld", &N, &K);
	fclose(fi);

	long S(0);
	long p;
	for (p = 0; N % 2 == 0; ++p)
		N /= 2;
	S = progresie(2, K*p) % MOD;
	long d(3);
	while (d*d <= N) {
		if (N % d == 0) {
			long p;
			for (p = 0; N % d == 0; ++p)
				N /= d;
			S = (S * progresie(d % MOD, K*p)) % MOD;
		}
		d += 2;
	}
	if (N > 1)
		S = (S * progresie(N % MOD, K)) % MOD;

	FILE *fo = fopen("sumadiv.out", "w");
	fprintf(fo, "%ld\n", S);
	fclose(fo);

	return 0;
}