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======Algorithms, Fall 2022======
This course provides an introduction to the design and analysis of computer
algorithms, with a particular emphasis on the use of **principles of mathematical induction** in designing algorithms.
Its goal is to acquaint the students with basic computer
algorithms and their design principles and to cultivate the students' ability
in designing and analyzing algorithms independently.

=====Announcements=====
  * 12/13: A draft of {{courses:alg2022:alg2021final_s.pdf|Suggested Solutions to Final 2021 Problems}} available (updated 12/15).
  * 12/12: {{courses:alg2022:alg2022mid_s.pdf|Suggested Solutions to Midterm Problems}} revised for Problem 10.
  * 12/05: {{courses:alg2022:hw10.pdf|HW#10}} due on 12/13.
  * 12/05: notes/slides for NP-Completeness available.
  * 12/05: notes/slides for Reduction available.
  * 11/28: {{courses:alg2022:hw9.pdf|HW#9}} due on 12/06.
  * 11/28: notes/slides for Dynamic Programming available.
  * 11/24: notes/slides for Basic Graph Algorithms revised.
  * 11/21: {{courses:alg2022:hw8.pdf|HW#8}} due on 11/29.
  * 11/21: an illustration of Computing SCCs Using DFS is available.
  * 11/07: {{courses:alg2022:hw7.pdf|HW#7}} due on 11/16.
  * 11/07: notes/slides for Advanced Graph Algorithms available.
  * 11/07: {{courses:alg2022:alg2022mid_s.pdf|Suggested Solutions to Midterm Problems}} available.
  * 10/31: notes/slides for Basic Graph Algorithms available.
  * 10/17: {{courses:alg2022:hw6.pdf|HW#6}} due on 11/01.
  * 10/17: notes/slides for String Processing available. (revised 10/18)
  * 10/10: {{courses:alg2022:hw5.pdf|HW#5}} due on 10/18; ACM ICPC 2016 World Finals {{courses:alg2017:2016WorldFinalsProblemL.pdf|Problem L}}.
  * 09/30: {{courses:alg:old_exams.zip|old exams}}.
  * 09/30: notes/slides for Searching and Sorting available.
  * 09/30: notes/slides for A Supplement to Data Structures available.
  * 09/27: {{courses:alg2022:hw4.pdf|HW#4}} due on 10/04.
  * 09/27: notes/slides for Design by Induction available.
  * 09/20: {{courses:alg2022:hw3.pdf|HW#3}} due on 09/27.
  * 09/20: notes/slides for Analysis of Algorithms available.
  * 09/12: {{courses:alg2022:hw2.pdf|HW#2}} due on 09/20; deadline of HW#1 extended to 09/16.
  * 09/06: {{courses:alg2022:hw1.pdf|HW#1}} due on 09/13.
  * 09/05: notes/slides for Introduction and for Mathematical Induction available.
  * 07/29: this website created to complement the NTU COOL site for this course.

=====Instructor=====
[[http://im.ntu.edu.tw/~tsay/|Yih-Kuen Tsay (蔡益坤)]], NTU IM Dept.,
3366-1189, ''Xtsay@ntu.edu.twX'' (between the enclosing pair of X's).

=====Lectures=====
Tuesday 2:20~5:20PM, Room 103, Management Building 2. \\ TA
sessions will be scheduled prior to some of the class meetings between 1:20
and 2:10PM; see the course schedule below.

=====Office Hours=====
Tuesday 1:30~2:00PM, Wednesday 1:30~2:00PM, or by appointment, Room 1108,
Management Building 2.

=====TAs=====
Emily Liu (劉品君), Xr11725032@ntu.edu.twX (between the enclosing pair of X's).\\
Yen-Liang Lai (賴彥良), Xr11725051@ntu.edu.twX (between the enclosing pair of X's).
=====Textbooks=====
  * [M] //[[http://www.amazon.com/Introduction-Algorithms-Creative-Udi-Manber/dp/0201120372/ref=sr_1_1?s=books&ie=UTF8&qid=1329702126&sr=1-1|Introduction to Algorithms - A Creative Approach]]//, U. Manber, Addison-Wesley, 1989. (Four copies of this book have been put on reserve at NTU Library in the 3F-Course Reserves area 教師指定參考書區 under 演算法(BM-4). Additionally, eleven copies are available for loan; please contact one of the TAs.)
  * [C] //[[http://www.amazon.com/Introduction-Algorithms-Thomas-H-Cormen/dp/0262033844/ref=pd_bxgy_b_img_c|Introduction to Algorithms, Third Edition]]//, T.H. Cormen, C.E. Leiserson, R.L. Rivest, and C. Stein, MIT Press, 2009. (開發圖書代理; one copy of this book has been put on reserve at NTU Library in the 3F-Course Reserves area 教師指定參考書區 under (FF-9).)

=====Syllabus/Schedule (with links to notes/slides)=====
We will try to cover most
of Manber's book plus supplementary material, including a few chapters of the
book by Cormen //et al.// (Note: a TA session will precede a class meeting
whose date is marked with an *. There are six TA sessions on 09/20, 10/04,
10/18, 11/08, 11/29, and 12/13.)
  *Introduction [M: Ch. 1; C: Ch. 1,2] (.5 week: 09/06a) [{{courses:alg2022:ch1_notes.pdf|notes}}, {{courses:alg2022:ch1_slides.pdf|slides}}]
  *Mathematical Induction [M: Ch. 2; C: Ch. 4] (1.5 weeks: 09/06b, 09/13) [{{courses:alg2022:ch2_notes.pdf|notes}}, {{courses:alg2022:ch2_slides.pdf|slides}}]
  *Analysis of Algorithms [M: Ch. 3; C: Ch. 2,3,4] (1 week: 09/20*) [{{courses:alg2022:ch3_notes.pdf|notes}}, {{courses:alg2022:ch3_slides.pdf|slides}}]
  *Design by Induction [M: Ch. 5] (1 week: 09/27) [{{courses:alg2022:ch5_notes.pdf|notes}}, {{courses:alg2022:ch5_slides.pdf|slides}}]
  *Data Structures: A Supplement [M: Ch. 4; C: Ch. 6,13,21] (.5 week: 10/04a*) [{{courses:alg2022:ch4_notes.pdf|notes}}, {{courses:alg2022:ch4_slides.pdf|slides}}, {{courses:alg2022:ch4_slides_avl.pptx|Building an AVL Tree (Illustration)}}]
  *Searching and Sorting [M: Ch. 6;  C: Ch. 6,7,8,9] (1.5 weeks: 10/04b, 10/11) [{{courses:alg2022:ch6_notes_a.pdf|notes}}, {{courses:alg2022:ch6_slides_a.pdf|slides}}, {{courses:alg2022:ch6_slides_heapsort.pptx|Heapsort (Illustration)}}, {{courses:alg2022:ch6_slides_heapbottomup.pptx|Bottom-Up Heap Building (Illustration)}}]
  *String Processing [M: Ch. 6;  C: Ch. 32] (1 week: 10/18*) [{{courses:alg2022:ch6_notes_b.pdf|notes}}, {{courses:alg2022:ch6_slides_b.pdf|slides}}, {{courses:alg2022:ch6_slides_huffman.pptx|Construction of a Huffman Tree (Illustration)}}]
  * **Midterm** (**2022/10/25**)
  *Graph Algorithms: Basic [M: Ch. 7;  C: Ch. 22,23,24,25,26] (1.5 weeks: 11/01, 11/08a*) [{{courses:alg2022:ch7_notes_a.pdf|notes}}, {{courses:alg2022:ch7_slides_a.pdf|slides}}, {{courses:alg2022:ch7_slides_dijkstras.pptx|Dijkstra's Algorithm (Illustration)}}, {{courses:alg2022:ch7_slides_mst.pptx|Prim's Algorithm (Illustration)}}]
  *Graph Algorithms: Advanced [M: Ch. 7;  C: Ch. 22,23,24,25,26] (1.5 weeks: 11/08b, 11/22) [{{courses:alg2022:ch7_notes_b.pdf|notes}}, {{courses:alg2022:ch7_slides_b.pdf|slides}}, {{courses:alg2022:ch7_slides_scc.pptx|Computing SCCs (Illustration)}}]
  *Dynamic Programming [C: Ch.15] (1 week: 11/29*) [{{courses:alg2022:dynamic_prog_notes.pdf|notes}}, {{courses:alg2022:dynamic_prog_slides.pdf|slides}}]
  *Reduction [M: Ch. 10; C: Ch. 29] (.5 week: 12/06a) [{{courses:alg2022:ch10_notes.pdf|notes}}, {{courses:alg2022:ch10_slides.pdf|slides}}]
  *NP-Completeness [M: Ch. 11; C: Ch. 34] (1.5 weeks: 12/06b, 12/13*) [{{courses:alg2022:ch11_notes.pdf|notes}}, {{courses:alg2022:ch11_slides.pdf|slides}}]
  * **Final** (**2022/12/20**)

=====References=====
  * [[http://en.wikipedia.org/wiki/Mathematical_induction|Mathematical Induction]] (a Wikipedia page)
  * [[http://en.wikipedia.org/wiki/Structural_induction|Structural Induction]] (a Wikipedia page)
  * MIT OpenCourseWare: [[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-006-introduction-to-algorithms-spring-2008/|Introduction to Algorithms]]
  * Stanford Coursera: [[https://www.coursera.org/specializations/algorithms|Algorithms]]
  * [[http://dl.acm.org/citation.cfm?id=2093549&CFID=70582427&CFTOKEN=84470362|What is an Algorithm?]] (M.Y. Vardi, Communications of the ACM, Volume 55 Issue 3, March 2012)
  * [[https://www.toptal.com/developers/sorting-algorithms|Sorting Algorithms Animations]]
  * [[http://www.cs.sunysb.edu/~skiena/combinatorica/animations/|Graph Animations with Combinatorica]]
  * [[http://www.claymath.org/sites/default/files/pvsnp.pdf|The P versus NP Problem]] (Stephen Cook)
  * The website of [[https://icpc.global|ICPC]] (International Collegiate Programming Contest)

=====Grading=====
Homework/Quizzes 20%, Participation 10%, Midterm 35%, Final 35%.
Yih-Kuen Tsay's Wiki @ IM.NTU

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