Cod sursa(job #3248848)

Utilizator Mihai_OctMihai Octavian Mihai_Oct Data 13 octombrie 2024 14:40:19
Problema Suma divizorilor Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.08 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("sumdiv.in");
ofstream fout("sumdiv.out");
const long long mod = 9901;
long long a, b, d, r;

static inline long long Put(long long a, long long n) {
    long long p = 1;
    while(n) {
        if(n & 1) p = (p * a) % mod;
        a = (a * a) % mod;
        n >>= 1;
    }
    return p;
}

static inline long long Inv(long long a) {
    return Put(a, mod - 2);
}

int main() {
    fin >> a >> b;
    r = 1;
    
    d = 2;
    while(d * d <= a) {
        if(a % d == 0) {
            long long e = 0;
            while(a % d == 0) {
                e++;
                a /= d;
            }
            
            if(d % mod == 1)     r = (r * (e * b + 1)) % mod;
    	    else if(d % mod > 1) r = r * (Put(d, e * b + 1) + mod - 1) % mod * Inv(d - 1) % mod;        
        }
        d++;
    }
    if(a > 1) {
        if(a % mod == 1)     r = (r * (1 * b + 1)) % mod;
    	else if(a % mod > 1) r = r * (Put(a, 1 * b + 1) + mod - 1) % mod * Inv(a - 1) % mod;   
    }
    fout << r;

    return 0;
}