Algorithms in pseudo code **MUST** be placed in de blocks/fences, and use `cpp` as the syntax ghlighter. Algorithms should follow the pseudo code standa scribed in *Pseudocode Handout*. Do NOT change the template except the answer rtion. Formulas and equations should be in math mode ing Latex math symbols. Markdown math tutorial: tp://tug.ctan.org/info/undergradmath/undergradm

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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## 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.
Consider the following recursive algorithm for
computing the sum of the first $n$ cubes: $S(n)
1^3+2^3+\dots+n^3$.
ср
ALGORITHM S(n)
//Input: A positive integer n
//Output: The sum of the first n cubes
if n == 1 return 1
else return S(n - 1) + n * n * n
1. Set up and solve a recurrence relation for the
number of times the algorithm’s basic operation
is executed.
2. How does this algorithm compare with the
straightforward non-recursive algorithm for
computing this sum?
#### Answer:
Transcribed Image Text:Consider the following recursive algorithm for computing the sum of the first $n$ cubes: $S(n) 1^3+2^3+\dots+n^3$. ср ALGORITHM S(n) //Input: A positive integer n //Output: The sum of the first n cubes if n == 1 return 1 else return S(n - 1) + n * n * n 1. Set up and solve a recurrence relation for the number of times the algorithm’s basic operation is executed. 2. How does this algorithm compare with the straightforward non-recursive algorithm for computing this sum? #### Answer:
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