4. Consider the following recursive algorithm. Algorithm Mystery A[0..n - 1]) //Input: An array A[0..n - 1] of real numbers if n = 1 return A[0] else temp ← Riddle(A[0..n - 2]) if temp ≤ A[n 1] return temp else return A[n − 1] a. What does this algorithm compute? The given algorithm will recursively calculate the minimum of the given array or list of elements. For every value of n. It calculates the minimum of all values preceding n(ie. <= n- 1). If the value returned is less than the value[n], it returns that value else it returns value[n]. b. What is its input size? Input size: an array of size 0 to n-1 of real numbers. c. What is its basic operation? The basic operation is: temp <- Riddle(A[0...n-2]) d. Set up a recurrence relation for the algorithm's basic operation count and solve it. e. What is the efficiency class of this algorithm?

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
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Please assist with part  d and e. Thank you!

4. Consider the following recursive algorithm.
Algorithm Mystery A[0..n - 1])
//Input: An array A[0..n - 1] of real numbers
if n = 1 return A[0]
else temp Riddle(A[0..n - 2])
←
if temp = A[n 1] return temp
else return A[n 1]
a. What does this algorithm compute?
The given algorithm will recursively calculate the minimum of the given
array or list of elements. For every value of n. It calculates the minimum of
all values preceding n(ie. <= n- - 1). If the value returned is less than the
value[n], it returns that value else it returns value[n].
b. What is its input size?
Input size: an array of size 0 to n-1 of real numbers.
c. What is its basic operation?
The basic operation is: temp <- Riddle(A[0...n-2])
d. Set up a recurrence relation for the algorithm's basic operation count and
solve it.
e. What is the efficiency class of this algorithm?
Transcribed Image Text:4. Consider the following recursive algorithm. Algorithm Mystery A[0..n - 1]) //Input: An array A[0..n - 1] of real numbers if n = 1 return A[0] else temp Riddle(A[0..n - 2]) ← if temp = A[n 1] return temp else return A[n 1] a. What does this algorithm compute? The given algorithm will recursively calculate the minimum of the given array or list of elements. For every value of n. It calculates the minimum of all values preceding n(ie. <= n- - 1). If the value returned is less than the value[n], it returns that value else it returns value[n]. b. What is its input size? Input size: an array of size 0 to n-1 of real numbers. c. What is its basic operation? The basic operation is: temp <- Riddle(A[0...n-2]) d. Set up a recurrence relation for the algorithm's basic operation count and solve it. e. What is the efficiency class of this algorithm?
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