EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Consider a divide-and-conquer algorithm that calculates the sum of all elements in a set of n numbers by dividing the set into two sets of n/2 numbers each, finding the sum of each of the two subsets recursively, and then adding the result. What is the recurrence relation for the number of operations required for this algorithm?
Answer is f(n) = 2 f(n/2) + 1. Please show why this is the case.
A computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two consecutive 1's. For example 01213 is a valid codeword of length 5 while 11320, 1022110, and 211133 are not valid. Let an be the number of valid codewords of length n. Find a recurrence relation for an and hence use it to find a4..
Give four key parameters which influence the overall efficiency of path finding algorithms with simple validations
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EBK DATA STRUCTURES AND ALGORITHMS IN C
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