C++ で戦略デザイン パターンを実装するにはどうすればよいですか?

class Comparator {
public:
    virtual bool compare(int a, int b) = 0;
};

class AscendingComparator : public Comparator {
public:
    bool compare(int a, int b) override { return a < b; }
};

class DescendingComparator : public Comparator {
public:
    bool compare(int a, int b) override { return a > b; }
};

class Sorter {
public:
    Sorter(Comparator* comparator) : comparator(comparator) {}

    void sort(int* arr, int size) {
        for (int i = 0; i < size - 1; i++) {
            for (int j = i + 1; j < size; j++) {
                if (comparator->compare(arr[i], arr[j])) {
                    std::swap(arr[i], arr[j]);
                }
            }
        }
    }

private:
    Comparator* comparator;
};

int main() {
    int arr[] = {5, 3, 1, 2, 4};
    int size = sizeof(arr) / sizeof(int);

    Sorter sorter(new AscendingComparator());
    sorter.sort(arr, size);

    for (int i = 0; i < size; i++) {
        cout << arr[i] << " ";  // Output: 1 2 3 4 5
    }
    cout << "\n";

    sorter.setComparator(new DescendingComparator());
    sorter.sort(arr, size);

    for (int i = 0; i < size; i++) {
        cout << arr[i] << " ";  // Output: 5 4 3 2 1
    }
    cout << "\n";

    return 0;
}