Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 7.1, Problem 1E
Program Plan Intro

To illustrate the operation of PARTITION on the array A=13,19,9,5,12,8,7,4,21,2,6,11 .

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4.Consider F = {BC -> D, B -> E, CE -> D, E -> CA, BF -> G} and R(A,B,C,D,E,F,G) a)Find all many keys for R
3. Unimodal Sequence Given n2 1, a sequence of n integers a[0],. . ., a[n-1] is unimodal if there exists t (with 0 st a[t+1] > . . . > a[n=1] The element a[t] is called the top of the sequence. For example, the sequence 1, 3, 5, 9, 4, 1 is unimodal, and its top is 9 (t = 3). Write a function get Toplndex_UnimodelSequence that takes a unimodal sequence & returns the index of the top of the sequence. The solution must have cost O(log(n)) in time in the worst case.
7. (a) Show that E3x(Px x Px). (b) Show that {Qx,Vy(Qy → Pz)} EVx Px.
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