Final Exam Review. CSC 221 Spring 2007
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1 Final Exam Review CSC 221 Spring 2007
2 Test Review: Curt Bill Carol Ronald Alison Ashley William Laura Victoria Jennifer Todd Dylan Trey Shelby Ancestors(Victoria): Number of Terminals: Depth of Ronald subtree: Siblings(William): Maximum depth: Degree of Ashley: Max Degree Node:
3 Test Review: Ancestors(Victoria): Carol, Curt Siblings(William): Alison, Ashley, Laura Number of Terminals: 9 Depth of Ronald subtree: 1 Maximum Depth: 4 (Curt to Dylan) Degree of Ashley: 1 Max Degree Node: Bill (4)
4 Trees/Traversal What are the results of performing the following traversals on the tree shown to the right? 2 Inorder Postorder Breadth-first
5 Trees/Traversal What are the results of performing the following traversals on the tree shown to the right? Inorder (LVR) 21, 5, 23, 30, 2, 8, 31, 19 Postorder (LRV) 21, 30, 23, 5, 31, 19, 8, 2 Breadth-first 2, 5, 8, 21, 23, 19, 30,
6 Heaps/Binary Search Trees Which of the following trees is a valid binary search tree? Which of the following are valid heaps?
7 Heaps/Binary Search Trees Which of the following trees is (are) a valid binary search tree? Which of the following is (are) a valid heap? Why? Binary Search Tree Neither Heap
8 Graph Traversal Print an ordering of the vertices visited by performing a dfs traversal of the graph below with the root vertex being vertex There are several different orderings that could be generated from a dfs traversal starting at root 3. Are there any vertices that will always be in a specific order given the start from 3?
9 Graph Traversal Print an ordering of the vertices visited by performing a dfs traversal of the graph below with the root vertex being vertex ,1,2,4,5,6 There are several different orderings that could be generated from a dfs traversal starting at root 3. Are there any vertices that will always be in a specific order given the start from 3? Yes, 6 will always follow directly after 5 as there is no other way to get to 6.
10 Graph Representations Provide an adjacency list representation of this graph:
11 Graph Representations Provide an adjacency list representation of this graph:
12 Graph Definitions Answer the following questions concerning the graph below: List a simple path between nodes 1 and 6 What are the maximum number of edges that could be in this graph? (given standard graph assumptions) What vertices are adjacent to vertex 2?
13 Graph Definitions Answer the following questions concerning the graph below: List a simple path between nodes 1 and 6 (1,4,7,8,6) What are the maximum number of edges that could be in this graph? (10*9)/2 = 45 What vertices are adjacent to vertex 2? 1,3,4
14 Heaps Perform the following operations on the heap shown below, showing the intermediate steps: Heap delete Heap delete Heap insert 12 Heap insert 2 (Ignore the fact that 5 and 3 are out of order doesn t affect the answer)
15 Heaps Perform the following operations on the heap shown below, showing the intermediate steps: First Heap delete Start End (Ignore the fact that 5 and 3 are out of order doesn t affect the answer)
16 Heaps Second heap delete Start End (Ignore the fact that 5 and 3 are out of order doesn t affect the answer)
17 Heaps Insert Start End (Ignore the fact that 5 and 3 are out of order doesn t affect the answer)
18 Heaps Insert Start End (Ignore the fact that 5 and 3 are out of order doesn t affect the answer)
19 Hashing Here s a simple hash function. It takes as a key a string representation of an id number and computes a hash value from the string. Assume the id number has at least two digits in it. int hash(string idstring) { int value = atoi(idstring.substr(0,2)); // start at 0, take 2 chars return (value % 10); } Assume you have a 10 bucket, 1 slot per bucket array for the hash table. Store the following id/name pairs in the appropriate hash bucket given this hash function and the use of linear probing.
20 Hashing To Add: 211, William 175, Shelley 110, Georgia 128, Jim 145, Tyler 969, David 352, Thomas 436, Brad 0 9
21 Hashing To Add: 211, William 175, Shelley 110, Georgia 128, Jim 145, Tyler 969, David 352, Thomas 436, Brad William Georgia Jim Tyler Thomas David Shelley Brad
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