linked list class c++ basic implementation

template<typename T>
class list {
  public:

    struct node {
        T value;
        node* next;
    };

    list() : hd(nullptr), tl(nullptr) {}

    node* head() { return hd; }
    node* tail() { return tl; }

    void insert(node* prior, T value);

    node* at(int i);    

    void erase(node* prior);
    void clear();

    void push_back(T value);
    void pop_back();

    void push_front(T value);
    void pop_front();

    int size();    

  private:
    node* hd, tl;
}

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