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DumbSort.java Counter-example:
it is not sufficient that the algorithm generates the desired output. [Text
version]
DumbSort.rtf Class hand-out:
above code as two-column text
Recursion review: Binomial
Coefficient Recursion: The Good, and The Bad and Ugly (as Word-97
document)
HTML
version.
Selection.txt
In-class example: selection sort. Word-processor file for
slides: Recursion_Slides.rtf
RecurSort.html Slide for recursive insertion
sort and selection sort and link to tail recursion slide
ArraySort.java Full Java file including the
selection sort (along with recursive insertion sort)
Hanoi.java
Source code for simple Towers of
Hanoi program
Hanoi.exe
Executable of nearly equivalent
C code
HanoiBAS.exe Animated Towers of Hanoi program
[HanoiBAS.bas, if you want to see the QuickBasic
source]
Qrecurr.xls
Excel spreadsheet with the Q(N) recurrence
Paper regarding binary search (why Q(N) is possibly of interest): Analytic
Derivation of Comparisons in Binary Search, SIGNUM Newsletter, Vol. 32, No.
4 (Oct 1997), pp. 15-19. Word
processor (RTF) version.
InductionExamples.html Several specimen induction proofs for summations
SigmaCoeff.doc Sum of binomial
coefficients example
SigmaCoef.html Same in HTML format
Kth_Smallest.html Analytic proof of the
"best-" and worst-case behaviors for finding the Kth smallest element
using QuickSort's Partition method.
n_log_n.html Analytic
proof of the n log2(n) behavior of MergeSort and the
optimal QuickSort.
Enrichment Material (not subject to examination)
Recursive Descent Extended example from compilers: recursive descent parsing of expressions
FibSheet.html Hanoi recurrence
and Fibonacci recurrence (cf. Appendix D, Example 5) Spreadsheet experimentation
FibSheet.doc Same
information in Word 6.0/95 format
FibSheet.xls Supporting
spreadsheet the actual spreadsheet experimentation.
Hanoi-NR.cpp NON-recursive implementation in
Borland C++ uses screen positioning specific to Borland C++
Hanoi-NR.exe Executable from Borland C++
Hanoi_NR.bas Implementation in QuickBasic / QBasic
Hanoi_NR.exe Executable from QuickBasic