I need help with my code. i need to make these member functions... I got the first one to work but the others don't work

[answerhappygod]

I need help with my code.
i need to make these member functions... I got the first one to
work but the others don't work.
There are 5 member functions to implement in this assignment.
Recall that our class is templated with keys of type T.
void insert(T k)
Insert the key k into the tree. Like in the week 9 lab, the BST
should act like a std::set . If k is already in the tree then no
action is taken. After insertion, the size_ variable and the
heights of nodes should be updated accordingly. Also now when
adding the new node containing k to the tree its parent pointer
needs to be set.
Node* successor(T k)
Return a pointer to the node containing the minimum key in the tree
larger than k. Return nullptr if k is the largest key in the tree
or if k is not in the tree.
void delete_min()
Remove the minimum key from the tree. Remember to update size_ and
heights of nodes accordingly. delete_min largely serves as a warmup
for the next function, erase.
void erase(T k)
Locate the node containing key k and remove it. If k is not in the
tree, you do not have to do anything. Don't forget to update size_
and heights of nodes accordingly.
void rotate_right(Node* node)
Implement a right rotation about the node pointed to by
node , as described in Lecture 8.6. This will only be called when
node has a left child. If left_child points to the left child of
*node, then *left_child becomes the parent of *node , and the right
subtree of *left_child becomes the left subtree of *node. Node
heights should again be properly updated after this operation.
#ifndef BST_ASSIGNMENT_HPP
#define BST_ASSIGNMENT_HPP
#include <iostream>
#include <algorithm>
template <typename T>
class BST
{
public:
// We have a Node class with more features now
// In addition to pointers to the left and right
child,
// there is also a pointer to the parent of Node.

// The parent of the root should always be
nullptr
// We also hava a height field to store the height
of
// a node in the tree.
class Node
{
public:
T key;
int height = 0;
Node* left = nullptr;
Node* right = nullptr;
Node* parent = nullptr;
// default constructor
Node(){}
// constructor that takes one or
optionally 2 arguments
// if only one argument is passed in
the second argument
// defaults to nullptr
Node(T k, Node* input_node =
nullptr)
{
key = k;
parent =
input_node;
}
};
private:
// The BST has two private variables, a pointer to
the root
// and an unsigned integer to hold its size
// We make the style choice of indicating these are
private
// data variables by having a trailing underscore in
their names.
Node* root_ = nullptr;
unsigned int size_ = 0;
public:
// Default constructor. No action required on
this one.
BST();
// Destructor. We implement this for
you.
~BST();
//*** Methods for you to implement
// insert
// insert the key k into the BST while maintaining
the BST property
// Like std::set, if k is already in the tree then no
action is taken
// Update the size_ variable and heights of nodes
accordingly
//*** For you to implement
void insert(T k);
// successor
// Return a pointer to the node containing the
smallest key larger
// than k
// Return nullptr if k is the largest key in the
tree
// Also return nullptr if k is not in the tree
//*** For you to implement
Node* successor(T k);
// delete the minimum
// Erase the minimum key in the tree
// Take no action if tree is empty
//*** For you to implement
void delete_min();
// erase
// Locate the key k in the tree and remove it
// If k is not in the tree you do not have to do
anything
// Update the size_ variable and heights of nodes
accordingly
//*** For you to implement
void erase(T k);
// Implement a right rotation about the node
pointed to by
// node, as described in Lecture 8.6. This will
only be
// called when node has a left child.
// If left_child points to the left child of
*node,
// then *left_child becomes the parent of *node, and
the
// right subtree of *left_child becomes the left
subtree of *node.
// Node heights should be properly updated after this
operation.
//*** For you to implement
void rotate_right(Node* node);
//*** End of methods for you to implement
// Returns the number of keys in the tree
// we implement this for you, but it is up to you to
correctly
// update the size_ variable
unsigned size();
// Prints out the keys in the tree via an in-order
traversal
// we implement this for you
void print();
// Returns a pointer to the node containing the
key k
// We implement this for you
Node* find(T k);
// Creates a vector holding the keys in the tree
by
// doing an in-order traversal
// We implement this for you, it is used in our
testing.
std::vector<T> make_vec();
// The next two functions are to check your height
values
// Please do not modify
std::vector<int> your_postorder_heights();
std::vector<int>
real_postorder_heights();
// get_root_value returns the value stored at the
root
// It used for testing purposes
// No action needed on your part
T get_root_value();
// Return a pointer to the node containing the
minimum key in the tree
// We implement this for you
Node* min();
private:
// We found it useful to have a "fix_height"
function.
// This assumes that the subtrees rooted at node's
children have
// correct heights and then walks up the tree from
node to the root
// correcting the heights.
// You can imlement this, or correct the heights
another way
void fix_height(Node* node);
// The rest of these functions are already
implemented
// helper function for the destructor
void delete_subtree(Node* node);
// returns pointer to minimum node in subtree
rooted by node
// Assumes node is not nullptr
Node* min(Node* node);
// helper function for print
void print(Node* node);
// helper function for make_vec
void make_vec(Node* node, std::vector<T>&
vec);
void your_postorder_heights(Node* node,
std::vector<int>& vec);
int real_postorder_heights(Node* node,
std::vector<int>& vec);
};