if (reflexive)
cout << "Рефлексивно\n";
else if (antiReflexive)
cout << "Антирефлексивно\n";
else
cout << "Нерефлексивно\n";
if (symmetric)
cout << "Симметрично\n";
else if (antiSymmetric)
cout << "Антисимметрично\n";
else
cout << "Несимметрично\n";
if (transitive)
cout << "Транзитивно\n";
else
cout << "Нетранзитивно\n";
}
vector<vector<int>> transpose(const vector<vector<int>>& R) {
int n = R.size();
vector<vector<int>> T(n, vector<int>(n));
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
T[j][i] = R[i][j];
return T;
}
vector<vector<int>> compose(const vector<vector<int>>& A,
const vector<vector<int>>& B) {
int n = A.size();
vector<vector<int>> C(n, vector<int>(n, 0));
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
for (int k = 0; k < n; k++)
if (A[i][k] && B[k][j]) {
C[i][j] = 1;
break;
}
return C;
}
int main() {
int n;
cin >> n;
set<int> s;
while (s.size() < n) {
int x;
cin >> x;
if (s.count(x))
cout << "Повтор! Введите другое число: ";
else
s.insert(x);
}
vector<int> A(s.begin(), s.end());
printSet(A);
printPairs(A);
auto R = buildMatrix(A);
printMatrix(R, A);
checkProperties(R);
int type;
cin >> type;
auto Rinv = transpose(R);
vector<vector<int>> result;
if (type == 1) result = compose(R, Rinv);
else if (type == 2) result = compose(Rinv, R);
else if (type == 3) result = compose(R, R);
else result = compose(Rinv, Rinv);
cout << "Композиция:\n";
printMatrix(result, A);
return 0;
}