Cod sursa(job #3245132)

Utilizator inacioataCioata Ana Irina inacioata Data 27 septembrie 2024 17:37:16
Problema Invers modular Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.85 kb
#include <bits/stdc++.h>
using namespace std;
ifstream fin("inversmodular.in");
ofstream fout("inversmodular.out");


/**
2 ^ 27 = 2 ^ 1 + 2 ^ 2 + 2 ^ 8 + 2 ^ 16

                      43210
27 = 16 + 8 + 2 + 1 = 11011
*/

int ExpoLog(int a, int n, int mod)
{
    int p = 1;
    while(n > 0)
    {
        if(n % 2 == 1) p = 1LL * p * a % mod;
        n /= 2;
        a = 1LL * a * a % mod;
    }
    return p;
}

int Phi(int n)
{
    int d, e, p = n;
    for(d = 2; d * d <= n; d++)
        if(n % d == 0)
    {
        e = 0;
        while(n % d == 0)
        {
            e++;
            n = n / d;
        }
        if(e > 0) p = p / d * (d - 1);
    }
    if(n > 1) p = p / n * (n - 1);
    return p;
}

int main()
{
    int a, n;
    fin >> a >> n;
    fout << ExpoLog(a, Phi(n) - 1, n) << "\n";
    return 0;
}