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Cod sursa(job #533104)
#include <algorithm>
#include <fstream>
using namespace std;
const char Input[] = "inversmodular.in";
const char Output[] = "inversmodular.out";
long long int A, N;
long long int Phi( long long int x ) {
long long int i, aux;
aux = x;
for( i = 2; i * i <= x; ++i )
if( x % i == 0 ) {
aux = aux / i * (i - 1);
while( x % i == 0 )
x /= i;
}
if( x > 1 )
aux = aux / x * (x - 1);
return aux;
}
long long int Pow( long long int x, long long int p ) {
long long int i, aux, xxx;
aux = x;
xxx = 1;
for( i = 0; (1LL << i) <= p; ++i ) {
if( (1LL << i) & p )
xxx = (xxx * aux) % N;
aux = (aux * aux) % N;
}
return xxx;
}
int main() {
ifstream fin( Input );
ofstream fout( Output );
fin >> A >> N;
fout << Pow( A, Phi( N ) - 1 );
fin.close();
fout.close();
return 0;
}