cs1501-fall-08-test-1

cs1501-fall-08-test-1 - CS1501 Fall 2008 Test-1...

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CS1501 Fall 2008 — Test-1 Instructions: Complete your work on this test booklet and put your final answers on the answer sheet. Put your name and email on both the test booklet and the answer sheet and hand them to the instructor. Only the answer sheet will be graded. You may separate the answer sheet from the test. Name: Email:

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Problem 1, Complexity, 20 Points A. How many comparisons does Selection Sort require in the worst case? B. How many comparisons does Mergesort require in the worst case? C. How many comparisons does Quicksort require in the worst case? D. How many times will foo be (recursively) called in the following method when foo(n) is executed? public static int foo(int n) { if ( n==0 ) return 1 ; else return ( foo(n-1) + foo(n-1) ) ; } Choose the best answers from O (1), O ( n ), O (log n ), O ( n ), O ( n log n ), O ( n 2 ), O ( n 3 ), O (2 n ). Problem 2, AVL Tree, 20 Points Draw the following AVL tree after inserting 5: 300 100 50 200 10 150 Problem 3, Radix Search Trie, 20 Points Construct the radix search trie that results from the insertions A=00001 , B=00010 , R=10010
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