CS473 - Algorithms I
Lecture 6-b
Randomized Quicksort
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CS 473 Lecture 6-b
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
Randomized Quicksort
In the avg-case analysis, we assumed that all
perm
CS473 - Algorithms I
Lecture 6-a
Analysis of Quicksort
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CS 473 Lecture 6
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
Analysis of Quicksort
QUICKSORT (A, p, r)
if p < r then
q H-PARTITION(A,
CS473 - Algorithms I
Lecture 7
Medians and Order Statistics
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CS 473 Lecture 7
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
Medians and Order Statistics
ith order statistic: ith smallest elem
CS473 - Algorithms I
Other Dynamic Programming
Problems
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CS 473 DP Examples
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
CS473 - Algorithms I
Problem 1
Subset Sum
CS 473 DP Examples
Cevdet A
CS473 - Algorithms I
Lecture 3
Solving Recurrences
CS 473 Lecture 3
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
Solving Recurrences
Reminder: Runtime (T(n) of MergeSort was
expressed as a recurrence
T(n) =
(1)
if
CS473 - Algorithms I
Lecture 5
Quicksort
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CS 473 Lecture 5
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
Quicksort
One of the most-used algorithms in practice
Proposed by C.A.R. Hoare in 1962
CS473 - Algorithms I
Lecture 4
The Divide-and-Conquer Design
Paradigm
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CS 473 Lecture 4
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
Reminder: Merge Sort
Input array A
Divide
sort this half
CS473 - Algorithms I
Lecture 8
Heapsort
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CS 473 Lecture 8
Cevdet Aykanat and Mustafa Ozdal
Computer Engineering Department, Bilkent University
1
Heapsort
Worst-case runtime: O(nlgn)
Sorts in-place
Uses a special data structure (heap