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download Introduction to Algorithms


this book talking about algorighms

The Role of Algorithms in Computing 5
1.1 Algorithms 5
1.2 Algorithms as a technology 10
2 Getting Started 15
2.1 Insertion sort 15
2.2 Analyzing algorithms 21
2.3 Designing algorithms 27
3 Growth of Functions 41
3.1 Asymptotic notation 41
3.2 Standard notations and common functions 51
4 Recurrences 62
4.1 The substitution method 63
4.2 The recursion-tree method 67
4.3 The master method 73
⋆ 4.4 Proof of the master theorem 76
5 Probabilistic Analysis and Randomized Algorithms 91
5.1 The hiring problem 91
5.2 Indicator random variables 94
5.3 Randomized algorithms 99
⋆ 5.4 Probabilistic analysis and further uses of indicator random variables
105

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