#include <iostream>
#include <string>
#include <vector>
#include <cmath>
using namespace std;
string mybin(int num, int n)
{
string result = "";
for (int j = n - 1; j >= 0; --j)
{
if ((num >> j) & 1)
result += "1";
else
result += "0";
}
return result;
}
void sdnf(int n, const string& f)
{
cout << "sdnf:" << endl;
if (f.length() < (1ULL << n))
{
cout << "Error! Invalid vector" << endl;
return;
}
vector<string> vec;
for (int i = 0; i < f.length(); i++)
{
if (f[i] == '1')
{
vec.push_back(mybin(i, n));
}
}
if (vec.empty()) {
cout << "СДНФ не существует (функция тождественный 0)" << endl;
return;
}
for (size_t i = 0; i < vec.size(); i++)
{
for (int j = 0; j < n; j++)
{
if (vec[i][j] == '1')
cout << 'X' << j + 1;
else
cout << 'x' << j + 1;
}
if (i != vec.size() - 1)
cout << " v ";
}
cout << endl;
}
void sknf(int n, const string& f)
{
cout << "sknf:" << endl;
if (f.length() < (1ULL << n))
{
cout << "Error! Invalid vector" << endl;
return;
}
vector<string> vec;
for (int i = 0; i < f.length(); i++)
{
if (f[i] == '0')
{
vec.push_back(mybin(i, n));
}
}
if (vec.empty()) {
cout << "СКНФ не существует " << endl;
return;
}
for (size_t i = 0; i < vec.size(); i++)
{
cout << '(';
for (int j = 0; j < n; j++)
{
if (vec[i][j] == '0')
cout << 'X' << j + 1;
else
cout << 'x' << j + 1;
if (j != n - 1)
cout << " v ";
}
cout << ')';
}
cout << endl;
}
//void minim(int n , const string& f)
//{
//}
int main()
{
setlocale(LC_CTYPE, "rus");
int n;
if (!(cin >> n)) return 0;
cin.ignore();
string f;
getline(cin, f);
sdnf(n, f);
sknf(n, f);
return 0;
}