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
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Consider the following recursive algorithm
ср
ALGORITHM Q(n)
//Input: A positive integer n
if n
1 return 1
==
else return Q(n
1) + 2 * n - 1
1. Set up a recurrence relation for this
function’s values and solve it to determine what
this algorithm computes.
2. Set up a recurrence relation for the number of
multiplications made by this algorithm and solve
it.
#### Answer:
Transcribed Image Text:Consider the following recursive algorithm ср ALGORITHM Q(n) //Input: A positive integer n if n 1 return 1 == else return Q(n 1) + 2 * n - 1 1. Set up a recurrence relation for this function’s values and solve it to determine what this algorithm computes. 2. Set up a recurrence relation for the number of multiplications made by this algorithm and solve it. #### Answer:
## 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.
Transcribed Image Text:## 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.
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