#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <tuple>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;
class DistinguishableSetDiv1 { public:
int count(vector <string> answer)
{
int N = answer.size();
int Q = answer[0].size();
vector<bool> ok(1<<Q, true);
function<void(int)> fillbad = [&](int m) {
if(!ok[m])
return;
ok[m] = false;
for(int c=0; c<Q; ++c) if(m & (1<<c))
fillbad(m &~ (1<<c));
};
for(int i=0; i<N; ++i)
for(int k=i+1; k<N; ++k)
{
int badset = 0;
for(int c=0; c<Q; ++c)
if(answer[i][c] == answer[k][c])
badset |= 1<<c;
fillbad(badset);
}
int ans = 0;
for(int m=0; m<(1<<Q); ++m)
if(ok[m])
++ans;
return ans;
}
};
// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
{ ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
{ os << "{ ";
for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const int& Expected, const int& Received) {
bool ok = (Expected == Received);
if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl;
cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END verify_case(_, DistinguishableSetDiv1().count(answer));}
int main(){
CASE(0)
string answer_[] = {"AA","AB","CC"};
vector <string> answer(answer_, answer_+sizeof(answer_)/sizeof(*answer_));
int _ = 2;
END
CASE(1)
string answer_[] = {"XYZ","XYZ","XYZ"};
vector <string> answer(answer_, answer_+sizeof(answer_)/sizeof(*answer_));
int _ = 0;
END
CASE(2)
string answer_[] = {"AAAA","BACA","CDCE"};
vector <string> answer(answer_, answer_+sizeof(answer_)/sizeof(*answer_));
int _ = 11;
END
CASE(3)
string answer_[] = {"XYZ","XAB","YAC"};
vector <string> answer(answer_, answer_+sizeof(answer_)/sizeof(*answer_));
int _ = 5;
END
CASE(4)
string answer_[] = 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vector <string> answer(answer_, answer_+sizeof(answer_)/sizeof(*answer_));
int _ = 1043070;
END
/*
CASE(5)
string answer_[] = ;
vector <string> answer(answer_, answer_+sizeof(answer_)/sizeof(*answer_));
int _ = ;
END
CASE(6)
string answer_[] = ;
vector <string> answer(answer_, answer_+sizeof(answer_)/sizeof(*answer_));
int _ = ;
END
*/
}
// END CUT HERE