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 5, Problem 2P
(a)
Program Plan Intro
To write the procedure RANDOM-SEARCH that implements the given strategy.
(b)
Program Plan Intro
To find the expected number of indices into A that must be pick before finding x and RANDOM-SEARCH terminates.
(c)
Program Plan Intro
To find the expected number of indices into A that must be pick before finding x and RANDOM-SEARCH terminates. The answer must be a function of n and k.
(d)
Program Plan Intro
To find the expected number of indices into A that must be pick before checking all the elements of Aand RANDOM-SEARCH terminates.
(e)
Program Plan Intro
To find the average case and the worst-case running time of DETERMINISTIC-SEARCH.
(f)
Program Plan Intro
To find the average case and the worst-case running time of DETERMINISTIC-SEARCH. The answer should be the function of n and k.
(g)
Program Plan Intro
To find the average case and the worst-case running time of DETERMINISTIC-SEARCH. The answer should be the function of n and k.
(h)
Program Plan Intro
To generalize the SCRAMBLE-SEARCH in which
(i)
Program Plan Intro
To explain the three searching
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2. Signed Integers
Unsigned binary numbers work for natural numbers, but many calculations use negative
numbers as well. To deal with this, a number of different methods have been used to represent
signed numbers, but we will focus on two's complement, as it is the standard solution for
representing signed integers.
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two's complement number can be written as: Σ2 2¹ di 2n-1 dn
• Otherwise exactly the same as unsigned integers.
i=0
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• A neat trick for flipping the sign of a two's complement number: flip all the bits (0 becomes 1,
or 1 becomes 0) and then add 1 to the least significant bit.
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Chapter 5 Solutions
Introduction to Algorithms
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