Informações sobre o curso
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This course covers the essential information that every serious programmer needs to know about algorithms and data structures, with emphasis on applications and scientific performance analysis of Java implementations. Part I covers elementary data structures, sorting, and searching algorithms. Part II focuses on graph- and string-processing algorithms....
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cursos 100% online

Comece imediatamente e aprenda em seu próprio cronograma.
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Prazos flexíveis

Redefinir os prazos de acordo com sua programação.
Intermediate Level

Nível intermediário

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Sugerido: 6 weeks of study, 6–10 hours per week.

Aprox. 32 horas restantes
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English

Legendas: English, Korean

Habilidades que você terá

GraphsData StructureAlgorithmsData Compression
Globe

cursos 100% online

Comece imediatamente e aprenda em seu próprio cronograma.
Calendar

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.
Intermediate Level

Nível intermediário

Clock

Sugerido: 6 weeks of study, 6–10 hours per week.

Aprox. 32 horas restantes
Comment Dots

English

Legendas: English, Korean

Programa - O que você aprenderá com este curso

1

Seção
Clock
10 minutos para concluir

Introduction

Welcome to Algorithms, Part II....
Reading
1 vídeo (Total de 9 min), 2 leituras
Video1 vídeos
Reading2 leituras
Welcome to Algorithms, Part II1min
Lecture Slidesmin
Clock
2 horas para concluir

Undirected Graphs

We define an undirected graph API and consider the adjacency-matrix and adjacency-lists representations. We introduce two classic algorithms for searching a graph—depth-first search and breadth-first search. We also consider the problem of computing connected components and conclude with related problems and applications....
Reading
6 vídeos (Total de 98 min), 2 leituras, 1 teste
Video6 videos
Graph API14min
Depth-First Search26min
Breadth-First Search13min
Connected Components18min
Graph Challenges14min
Reading2 leituras
Overview1min
Lecture Slidesmin
Quiz1 exercício prático
Interview Questions: Undirected Graphs (ungraded)6min
Clock
4 horas para concluir

Directed Graphs

In this lecture we study directed graphs. We begin with depth-first search and breadth-first search in digraphs and describe applications ranging from garbage collection to web crawling. Next, we introduce a depth-first search based algorithm for computing the topological order of an acyclic digraph. Finally, we implement the Kosaraju−Sharir algorithm for computing the strong components of a digraph....
Reading
5 vídeos (Total de 68 min), 1 leitura, 2 testes
Video5 videos
Digraph API4min
Digraph Search20min
Topological Sort 12min
Strong Components20min
Reading1 leituras
Lecture Slidesmin
Quiz1 exercício prático
Interview Questions: Directed Graphs (ungraded)6min

2

Seção
Clock
2 horas para concluir

Minimum Spanning Trees

In this lecture we study the minimum spanning tree problem. We begin by considering a generic greedy algorithm for the problem. Next, we consider and implement two classic algorithm for the problem—Kruskal's algorithm and Prim's algorithm. We conclude with some applications and open problems....
Reading
6 vídeos (Total de 85 min), 2 leituras, 1 teste
Video6 videos
Greedy Algorithm12min
Edge-Weighted Graph API11min
Kruskal's Algorithm12min
Prim's Algorithm33min
MST Context10min
Reading2 leituras
Overview1min
Lecture Slidesmin
Quiz1 exercício prático
Interview Questions: Minimum Spanning Trees (ungraded)6min
Clock
5 horas para concluir

Shortest Paths

In this lecture we study shortest-paths problems. We begin by analyzing some basic properties of shortest paths and a generic algorithm for the problem. We introduce and analyze Dijkstra's algorithm for shortest-paths problems with nonnegative weights. Next, we consider an even faster algorithm for DAGs, which works even if the weights are negative. We conclude with the Bellman−Ford−Moore algorithm for edge-weighted digraphs with no negative cycles. We also consider applications ranging from content-aware fill to arbitrage....
Reading
5 vídeos (Total de 85 min), 1 leitura, 2 testes
Video5 videos
Shortest Path Properties14min
Dijkstra's Algorithm18min
Edge-Weighted DAGs19min
Negative Weights21min
Reading1 leituras
Lecture Slidesmin
Quiz1 exercício prático
Interview Questions: Shortest Paths (ungraded)6min

3

Seção
Clock
4 horas para concluir

Maximum Flow and Minimum Cut

In this lecture we introduce the maximum flow and minimum cut problems. We begin with the Ford−Fulkerson algorithm. To analyze its correctness, we establish the maxflow−mincut theorem. Next, we consider an efficient implementation of the Ford−Fulkerson algorithm, using the shortest augmenting path rule. Finally, we consider applications, including bipartite matching and baseball elimination....
Reading
6 vídeos (Total de 72 min), 2 leituras, 2 testes
Video6 videos
Ford–Fulkerson Algorithm6min
Maxflow–Mincut Theorem9min
Running Time Analysis8min
Java Implementation14min
Maxflow Applications22min
Reading2 leituras
Overviewmin
Lecture Slidesmin
Quiz1 exercício prático
Interview Questions: Maximum Flow (ungraded)6min
Clock
2 horas para concluir

Radix Sorts

In this lecture we consider specialized sorting algorithms for strings and related objects. We begin with a subroutine to sort integers in a small range. We then consider two classic radix sorting algorithms—LSD and MSD radix sorts. Next, we consider an especially efficient variant, which is a hybrid of MSD radix sort and quicksort known as 3-way radix quicksort. We conclude with suffix sorting and related applications....
Reading
6 vídeos (Total de 85 min), 1 leitura, 1 teste
Video6 videos
Key-Indexed Counting12min
LSD Radix Sort15min
MSD Radix Sort13min
3-way Radix Quicksort7min
Suffix Arrays19min
Reading1 leituras
Lecture Slidesmin
Quiz1 exercício prático
Interview Questions: Radix Sorts (ungraded)6min

4

Seção
Clock
2 horas para concluir

Tries

In this lecture we consider specialized algorithms for symbol tables with string keys. Our goal is a data structure that is as fast as hashing and even more flexible than binary search trees. We begin with multiway tries; next we consider ternary search tries. Finally, we consider character-based operations, including prefix match and longest prefix, and related applications....
Reading
3 vídeos (Total de 75 min), 2 leituras, 1 teste
Video3 videos
Ternary Search Tries22min
Character-Based Operations20min
Reading2 leituras
Overview10min
Lecture Slidesmin
Quiz1 exercício prático
Interview Questions: Tries (ungraded)6min
Clock
5 horas para concluir

Substring Search

In this lecture we consider algorithms for searching for a substring in a piece of text. We begin with a brute-force algorithm, whose running time is quadratic in the worst case. Next, we consider the ingenious Knuth−Morris−Pratt algorithm whose running time is guaranteed to be linear in the worst case. Then, we introduce the Boyer−Moore algorithm, whose running time is sublinear on typical inputs. Finally, we consider the Rabin−Karp fingerprint algorithm, which uses hashing in a clever way to solve the substring search and related problems....
Reading
5 vídeos (Total de 75 min), 1 leitura, 2 testes
Video5 videos
Brute-Force Substring Search10min
Knuth–Morris–Pratt33min
Boyer–Moore8min
Rabin–Karp16min
Reading1 leituras
Lecture Slides10min
Quiz1 exercício prático
Interview Questions: Substring Search (ungraded)6min

Instrutores

Robert Sedgewick

William O. Baker *39 Professor of Computer Science
Computer Science

Kevin Wayne

Senior Lecturer
Computer Science

Sobre Princeton University

Princeton University is a private research university located in Princeton, New Jersey, United States. It is one of the eight universities of the Ivy League, and one of the nine Colonial Colleges founded before the American Revolution....

Perguntas Frequentes – FAQ

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

  • No. All features of this course are available for free.

  • No. As per Princeton University policy, no certificates, credentials, or reports are awarded in connection with this course.

  • Our central thesis is that algorithms are best understood by implementing and testing them. Our use of Java is essentially expository, and we shy away from exotic language features, so we expect you would be able to adapt our code to your favorite language. However, we require that you submit the programming assignments in Java.

  • Part II focuses on graph and string-processing algorithms. Topics include depth-first search, breadth-first search, topological sort, Kosaraju−Sharir, Kruskal, Prim, Dijkistra, Bellman−Ford, Ford−Fulkerson, LSD radix sort, MSD radix sort, 3-way radix quicksort, multiway tries, ternary search tries, Knuth−Morris−Pratt, Boyer−Moore, Rabin−Karp, regular expression matching, run-length coding, Huffman coding, LZW compression, and the Burrows−Wheeler transform.

    Part I focuses on elementary data structures, sorting, and searching. Topics include union-find, binary search, stacks, queues, bags, insertion sort, selection sort, shellsort, quicksort, 3-way quicksort, mergesort, heapsort, binary heaps, binary search trees, red−black trees, separate-chaining and linear-probing hash tables, Graham scan, and kd-trees.

  • Weekly programming assignments and interview questions.

    The programming assignments involve either implementing algorithms and data structures (graph algorithms, tries, and the Burrows–Wheeler transform) or applying algorithms and data structures to an interesting domain (computer graphics, computational linguistics, and data compression). The assignments are evaluated using a sophisticated autograder that provides detailed feedback about style, correctness, and efficiency.

    The interview questions are similar to those that you might find at a technical job interview. They are optional and not graded.

  • This course is for anyone using a computer to address large problems (and therefore needing efficient algorithms). At Princeton, over 25% of all students take the course, including people majoring in engineering, biology, physics, chemistry, economics, and many other fields, not just computer science.

  • The two courses are complementary. This one is essentially a programming course that concentrates on developing code; that one is essentially a math course that concentrates on understanding proofs. This course is about learning algorithms in the context of implementing and testing them in practical applications; that one is about learning algorithms in the context of developing mathematical models that help explain why they are efficient. In typical computer science curriculums, a course like this one is taken by first- and second-year students and a course like that one is taken by juniors and seniors.

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