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日期:2019-10-22 11:15

CS 201 Data Structures Library Phase 2 Due 11/1

Phase 2 of the CS201 programming project, we will be built around a balanced binary search tree. In

particular, you should implement a left-leaning red-black tree for the class RBTree.

The public methods of your class should include the following (elmtype indicates the type from the

template):

Function Description Runtime

RBTree(); Default Constructor. The tree should be empty O(1)

RBTree(keytype k[], valuetype V[],

int s);

For this constructor the tree should be built using

the arrays K and V containing s items of keytype

and valuetype.

O(s lg s)

~RBTree(); Destructor for the class. O(n)

valuetype * search(keytype k); Traditional search. Should return a pointer to the

valuetype stored with the key. If the key is not

stored in the tree then the function should return

NULL.

O(lg n)

void insert(keytype k, valuetype

v);

Inserts the node with key k and value v into the

tree.

O(lg n)

int delete(keytype k); Removes the node with key k and returns 1. If key

k is not found then delete should return 0.

O(lg n)

int rank(keytype k); Returns the rank of the key k in the tree. Returns

0 if the key k is not found.

O(lg n)

keytype select(int pos); Order Statisics. Returns the key of the node at

position pos in the tree. Calling with pos = 1

should return the smallest key in the tree, pos = n

should return the largest.

O(lg n)

void split(keytype k,

RBTree<keytype,valuetype>& T1,

RBTree<keytype,vlauetype>& T2);

Splits the tree into T1 and T2 based on key k O(lg n)

int size(); returns the number of nodes in the tree. O(1)

void preorder(); Prints the keys of the tree in a preorder traversal. O(n)

void inorder(); Prints the keys of the tree in an inorder traversal. O(n)

void postorder(); Prints the keys of the tree in a postorder traversal. O(n)

Your class should include proper memory management, including a destructor, a copy constructor, and a

copy assignment operator.


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