Consider the following recursive algorithmсрALGORITHM Q(n)//Input: A positive integer nif n1 return 1==else return Q(n1) + 2 * n - 11. Set up a recurrence relation for thisfunctionâ€™s values and solve it to determine whatthis algorithm computes.2. Set up a recurrence relation for the number ofmultiplications made by this algorithm and solveit.#### Answer: ## Format RequirementAlgorithms in pseudo code **MUST** be placed incode blocks/fences, and usehighlighter.Algorithms should follow the pseudo code standarddescribed in *Pseudocode Handout*.сррas the syntaxDo NOT change the template except the answerportion.Formulas and equations should be in math modeusing Latex math symbols.- Markdown math tutorial:http://tug.ctan.org/info/undergradmath/undergradmath.pdfTwo ways to enter math mode:Insert a pair of dollar signs: \$yourequations go here\$. This is the inline math mode.*Notice that there is no space between the \$ andthe letter*.Insert a pair of double-dollar signs: \$\ $your equations go here \$\$, which produces astandalone equation/formula set.

Answered: Consider the following recursive…

Consider the following recursive algorithm cpp ALGORITHM Q(n) //Input: A positive integer n if n == 1 return 1 else return Q(n - 1) + 2 *n - 1

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Consider the following non-recursive algorithm:Algorithm Euclid2(m, n)//Input: Integers m and n where m >=n//Output: Greatest Common Divisor of m and nwhile n ≠ 0 do r ← m mod n m← n n ← r return ma) What does this algorithm compute?b) What is the input size for this algorithm?c) What is the basic operation of this algorithm?d) How many times the basic operation is executed worst case scenario?e) How many times the basic operation is executed in best-case scenario?
Algorithm P(n) // Input: A positive integer n if n 1 return 1 S else return P(n-1) non n
(2) Algorithm f(n) if n==1 return 1; return 2*f(n-1)+ n*n*n;
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Given the recursive function definition:t(n) = n+ 3 * t(n-1) + t(n-2) t(0) = 2 t(1) = 1a. Evaluate: t(3)b. Write the source code to implement this function
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Consider the following non-recursive algorithm: Algorithm Euclid2(m, n)//Input: Integers m and n where m >=n//Output: Greatest Common Divisor of m and nwhile n ≠ 0 do r ← m mod n m← n n ← r return m a) What does this algorithm compute?b) What is the input size for this algorithm?c) What is the basic operation of this algorithm?d) How many times the basic operation is executed worst case scenario?e) How many times the basic operation is executed in best-case scenario?
## Format Requirement Algorithms in pseudo code **MUST** be placed in code blocks/fences, and use highlighter. Algorithms should follow the pseudo code standard described in *Pseudocode Handout*. срр as the syntax Do NOT change the template except the answer portion. Formulas and equations should be in math mode using Latex math symbols. - Markdown math tutorial: http://tug.ctan.org/info/undergradmath/undergradmat h.pdf Two ways to enter math mode: Insert a pair of dollar signs: \$your equations go here\$. This is the inline math mode. *Notice that there is no space between the \$ and the letter*. Insert a pair of double-dollar signs: \$\ $ your equations go here \$\$, which produces a standalone equation/formula set.
PYTHON! Can someone explain this recursion problem? In my mind the ouput would be 19 because: 1st step: R(5) = -1 because (5-1)-5 then returns to top with -1 and since that is less than zero it returns 20 but subtracts the -1 it returned def R(n): if n<=0: return 20 return R(n-1) - n print(R(5))
Algorithm
Q10. Consider the following algorithm: g1 = 7 g2 = 6 For k starting at 3 and ending with 8: gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?