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24. An algorithm is called optimal for the solution of a prob- lem with respect to a specified operation if there is no al- gorithm for solving this problem using fewer operations. a) Show that Algorithm 1 in Section 3.1 is an optimal algorithm with respect to the number of comparisons of integers. [Note: Comparisons used for bookkeep- ing in the loop are not of concern here.] b) Is the linear search algorithm optimal with respect to 0 the number of comparisons of integers (not including çomparisons used for bookkeeping in the loop)? ba

24. An algorithm is called optimal for the solution of a prob- lem with respect to a specified operation if there is no al- gorithm for solving this problem using fewer operations. a) Show that Algorithm 1 in Section 3.1 is an optimal algorithm with respect to the number of comparisons of integers. [Note: Comparisons used for bookkeep- ing in the loop are not of concern here.] b) Is the linear search algorithm optimal with respect to 0 the number of comparisons of integers (not including çomparisons used for bookkeeping in the loop)? ba

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 45E
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An algorithm is called optimal for the solution of a problem with respect to a specified operation if there is no algorithm for solving this problem using fewer operations. 

(THE FIRST ATTACHMENT IS FROM SECTION 3.1)

Please answer parts a & b.

 

oms oved gonsnps ALGORITHM 1 Finding the Maximum Element in a Finite Sequence. init procedure max(a,, a2, ... , a„: integers) cbe suq тах :- а for i := 2 to n if max < a; then max := a; return max{max is the largest element}
Transcribed Image Text:oms oved gonsnps ALGORITHM 1 Finding the Maximum Element in a Finite Sequence. init procedure max(a,, a2, ... , a„: integers) cbe suq тах :- а for i := 2 to n if max < a; then max := a; return max{max is the largest element}
24. An algorithm is called optimal for the solution of a prob- lem with respect to a specified operation if there is no al- gorithm for solving this problem using fewer operations. a) Show that Algorithm 1 in Section 3.1 is an optimal algorithm with respect to the number of comparisons of integers. [Note: Comparisons used for bookkeep- ing in the loop are not of concern here.] guil b) Is the linear search algorithm optimal with respect to 18:(6) the number of comparisons of integers (not including comparisons used for bookkeeping in the loop)? bas (s)
Transcribed Image Text:24. An algorithm is called optimal for the solution of a prob- lem with respect to a specified operation if there is no al- gorithm for solving this problem using fewer operations. a) Show that Algorithm 1 in Section 3.1 is an optimal algorithm with respect to the number of comparisons of integers. [Note: Comparisons used for bookkeep- ing in the loop are not of concern here.] guil b) Is the linear search algorithm optimal with respect to 18:(6) the number of comparisons of integers (not including comparisons used for bookkeeping in the loop)? bas (s)
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