COMP171 Data Structures and Algorithm Tutorial 2 TA: M.Y.Chan A few words Materials will be posted on the course homepage before the tutorials Please have a glance ...
COMP171 Data Structure & Algorithm. Tutorial 1. TA: M.Y.Chan. Outline of Today's Tutorial ... To acquire adequate programming knowledge for the coming assignments ...
Assignments, test cases and solutions. Download course material ... Programming and homework assignments. More rigorous problems to consolidate your knowledge ...
COMP171 Depth-First Search Depth-First Search (DFS) DFS is another popular graph search strategy Idea is similar to pre-order traversal (visit node, then visit ...
COMP171 Fall 2006 AVL-Trees Behavior of search in binary search trees Balanced Binary Search Trees Worst case height of binary search tree: N-1 Insertion, deletion ...
COMP171 Fall 2006 AVL-Trees (Part 2: Double Rotations) Lecture 19 Review of Rotations When the AVL property is lost we can rebalance the tree via rotations Single ...
COMP171 Fall 2005 Lists Outline Abstract Data Type (ADT) List ADT List ADT with Array Implementation Linked lists Basic operations of linked lists Insert, find ...
Depth-First Search. COMP171. Graph / Slide 2. Summary of BFS. Graph and representations ... Requires a scan of adjacency list to check if an edge exists ...
Normally every student must belong to a department. ... This tool is called 'Casanova et al.'s axiom system' We consider the following three rules: ...
course. dept. student. Two students in the same department take the same courses. pattern ... first two relations ((student, course), (course, lecturer)) would ...
... 'almost complete binary ... Note: we define 'complete tree' slightly different from the book. ... A complete binary tree is one where a node can have 0 (for ...
... insertion sort runs fast Mergesort Based on divide-and-conquer strategy Divide the list into two smaller ... Dividing If the input list is a linked list, ...
Binary Search Tree Balance Binary Search Tree Worst case height of binary search tree: N-1 Insertion, ... search trees Examples: AVL tree, red-black tree Balanced ...
Thus, many operations (searching, insertion, deletion) on an AVL tree will take ... Since an insertion/deletion involves adding/deleting a single node, this can ...
Move i right, skipping over elements smaller than the pivot ... The large element is pushed to the right and the small element is pushed to the left ...
The AVL tree is an excellent dictionary structure when the entire structure can ... B Tree ... The disadvantage of B -tree is that most nodes will have less ...
Introduction to Analysis of Algorithms / Slide 2. Introduction. What is Algorithm? ... Why need algorithm analysis ? writing a working program is not good enough ...
that insertions and deletions can only be performed at the top of the list ... When the stack is full, top will have its maximum value, i.e. size 1. ... top = -1; ...
AVL tree. AVL tree ... AVL tree (iv)Then Insert the value 8 into the AVL tree, doing any necessary ... AVL tree (vii)Then Delete the value 12 from the AVL tree, ...
Now for the case relation is not important', but want to be efficient' for ... To hash' (is to chop into pieces' or to mince'), is to make a map' or a transform' ...
The na ve algo is O(mn) in the worst case But we do have linear algorithm (optional): Boyer-Moore Knuth-Morris-Pratt Finite automata Using idea of hashing ! Robin ...
Pattern matching 7 ... This corresponds to shifting the pattern P to the right by the smallest amount ... This avoids missing any occurrence of the pattern P. ...
To let ListIterator access the private member head, we make ListIterator ... An iterator is a construct ... multimap _ Hash table, supports numerous values ...
M-ary search tree needs M-1 keys to decide which branch to take ... If Ki x Ki 1 for two consecutive keys Ki and Ki 1 at v, follow the left child pointer of Ki 1 ...
possible orderings (e.g., the sorted output for a,b,c can be a b c, b a ... Can be bad if range is very big, e.g. M=O(N2) N=7, M = 9, Want to sort 8 1 9 5 2 6 3 ...
Single Rotation to Fix Case 4 (right-right) Case 4 is a symmetric case to case 1 ... Double Rotation to fix Case 3(right-left) Facts. The new key is inserted in ...
Graphs (BFS & DFS) COMP171. Tutorial 10. Graphs. Graph G=(V,E) V: set of vertices. E: set of edges ... Two standard ways to represent a graph. As a collection ...