CSE331 Homework 3
Due: Friday Feb. 1, 2008 at 11:59am
1.
Show how the quicksort algorithm (page 286, but let the quicksort work all the
way to size 1 and 0 rather than calling insertion sort) sorts the following list:
Index:
0
1
2
3
4
5
6
7
8
Key:
414
132
327
554
877
542
433
986
233
Draw the calling diagram as a tree, where each node corresponds to a quicksort
call.
The root is the original call.
In each node:
a.
Provide the A array right after the pivot is restored.
b.
Give the
parameters of every call, including the content of the A array, left
and right parameters.
The order of the numbers in A array needs to be correct.
2.
(Problem 7.32 (ac) on page 309.) Suppose you are given a sorted list of N
elements, followed by f(N) randomly ordered elements. How would you sort the
entire list if
(a)
f(N) = O(1) ?
(b)
f(N) = O(log N) ?
(c)
f(N) = O( sqrt (N) ) ?
Describe your algorithm in detail for each size N.
Try to keep the running time of
your algorithm as efficient as possible.
Additionally, provide the complexity (in
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This note was uploaded on 07/25/2008 for the course CSE 331 taught by Professor M.mccullen during the Spring '08 term at Michigan State University.
 Spring '08
 M.McCullen
 Algorithms, Data Structures, Insertion Sort

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