DataStructure Heap
Zhejiang University
Heap
What is heap?
When a computer is doing many things at the same time, different tasks will have different priorities.
Thus we have a special data structure: Priority Queue.
Creating a heap
We need 2 functions: insert and delete
Array
difficult to delete a element
linked list
Ordered Array
difficult to insert
Ordered linked list
Tree
Tree
Tree has some great characteristics in realizing heap. The insert process is related to the height of a tree while the delete proces ...
DataStructure Tree Application
Zhejiang University
Binary Search Tree (BST)
Properties
Left subTrees’s values are smaller than their roots
Right subTrees’s values are larger than their roots
Left and Right subTrees are all BSTs
API
Position Find(ElementType X, BinTree BST)
Position FindMin(BinTree BST)
Position FindMax(BinTree BST)
BinTree Insert(ElementType X, BinTree BST)
BinTree Delete(ElementType X, BinTree BST)
Find
Recursion
Loop
123456789while(BST){ if(X > BST->Data) BST = BST->Right; els ...
DataStructure Binary Tree
Zhejiang University
Binary Tree
Properties
Degree = 2.
L and R are different.
Layer i has a maximum number of nodes 2^(i-1)
Degree = K, node sum = 2^(k-1)
For any not-null binary tree, n0 = leaf, n2 = nodes which have 2 non-leaf nodes, then n0 = n2+1
Operation Set
Boolean IsEmpty(BinTree BT)
void Traversal(BinTree BT)
PreOrderTraversal:rLR
InOrderTraversal:LrR
PostOrderTraversal:LRr
LevelOrderTraversal:UD,LR
BinTree CreatBinTree()
Special Binary Tree
Skewed Binary Tree
Perfect Binary T ...
DataStructure Tree
Zhejiang University
Tree
A Structure used for managing and organizing different levels of data.
Properties
A special node: Root®
The rest nodes can be divided into m nonoverlapping subsets called SubTree.
SubTrees do not overlap.
Every Node has one parent except r.
A tree with N nodes has N-1 sides.
Terms
Degree: The number of SubTrees for a Node.
Degree of a Tree: The maximum Degree for all nodes of a tree.
Leaf
Parent
Child
Sibling
Path and the Distance of Path: From Node n1 to Node nk, t ...
DataStructure Queue
Zhejiang University
Queue
A restricted linear table.
Queue and Round-robin Queue
Properties
AddQ
DeleteQ
FIFO
Operation Set
Queue CreateQueue(int Maxsize)
int IsFull(Queue Q, int MaxSize)
void AddQ(Queue Q, ElementType item)
int IsEmpty(Queue Q)
ElementType DeleteQ(Queue Q)
indicators
front(begins with -1)
rear(begins with -1)
Round-robin Queue
A more efficient way to make use of space.
Questions:
How to tell whether a queue is full?
Why is it difficult to tell whther it is full? Wha ...
DataStructure Stack
Zhejiang University
Stack
Problem
How to make computer understand the priority of calculating?
Expression
Nifix Expression is what we are customed to use. But Postfix Expression is easier for a computer to understand. We need a structure to store numbers and operators in order and get them out in the reverse order.
Eg:6 2 / 3 - 4 2 * +
store 6->store 2->6 2 out and divide store 3 in-> store 3->3 3 out and minus store 0 in……
Properties of Stack
It is a limited linear table.
Push an ...
DataStructure Linked List
Zhe Jiang University
Design
Target: Find the sum and the product of 2 polynomials.
Data Structure
123456typedef struct PolyNode *Polynomial;struct PolyNode{ int coef; int expon; Polynomial link;};
Structure of the program
12345678Polynomial P1, P2, PP, PS;P1 = ReadPoly();P2 = ReadPoly();PP = Multi(P1, P2);PrintPoly(PP);PS = Add(P1, P2);PrintPoly(PS);
Some New Ideas
If you want to pass in a variable and let the function change it, you have to pass in a more ‘fundamental’ thing ...
Third Post
This post is just for test.
There seems to be something wrong with the preview function on the home page.
I will see if there is something wrong.
developer TC
A Quick Start of Markdown
Overview
This Markdown cheat sheet provides a quick overview of all the Markdown syntax elements. It can’t cover every edge case, so if you need more information about any of these elements, refer to our reference guides for basic syntax and extended syntax.
Basic Syntax
These are the elements outlined in John Gruber’s original design document. All Markdown applications support these elements.
Element Markdown Syntax
Heading
The more # you get, the smaller the heading will be.
#H1 ##H2 ###H3
H1
...
First Post
This is my first Blog.
Let’s celebrate and enjoy this site!
I have just cleared the database!
Welcome and share something interesting!
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