Introduction to Algorithms
Introduction
Introduction to Algorithms
2 Getting Started
2.1 Insertion sort
2.2 Analyzing algorithms
2.3 Designing algorithms
Problems
3 Growth of Functions
3.1 Asymptotic notation
3.2 Standard notations and common functions
Problems
4 Divide and Conquer
4.1 The maximum-subarray problem
4.2 Strassen's algorithm for matrix multiplication
4.3 The substitution method for solving recurrences
4.4 The recursion-tree method for solving recurrences
4.5 The master method for solving recurrences
4.6 Proof of the master theorem
Problems
5 Probabilistic Analysis and Randomized Algorithms
5.1 The hiring problem
5.2 Indicator random variables
5.3 Randomized algorithms
5.4 Probabilistic analysis and further uses of indicator random variables
Problems
6 Heapsort
6.1 Heaps
6.2 Maintaining the heap property
6.3 Building a heap
6.4 The heapsort algorithm
6.5 Priority queues
Problems
7 Quicksort
7.1 Description of quicksort
7.2 Performance of quicksort
7.3 A randomized version of quicksort
7.4 Analysis of quicksort
Problems
8 Sorting in Linear Time
8.1 Lower bounds for sorting
8.2 Counting sort
8.3 Radix sort
8.4 Bucket sort
Problems
9 Medians and Order Statistics
9.1 Minimum and maximum
9.2 Selection in expected linear time
9.3 Selection in worst-case linear time
Problems
10 Elementary Data Structures
10.1 Stacks and queues
10.2 Linked lists
10.3 Implementing pointers and objects
10.4 Representing rooted trees
Introduction to Algorithms
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Introduction
Introduction to Algorithms
Solutions to Introduction to Algorithms, third edition.
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