e) Find the time complexity of the codes shown below:Factorial ( n )for (j = n - 1; j> 0; j = j - 1){{if n= 1for (i = 0; i A[ i+ 1]){return 1elsereturn n * Factorial ( n - 1)}Temp= A[ i ];RecMinimum (A[], 1, r)if r-1<1return min (A[ 1], A[ r ]))elseA[ i] = A[ i+1];A[ i+ 1] = Temp;mid = [(ltr)/2]ml = RecMinimum (A, I, mid)m2 = RecMinimum (A, mid+1, r)return (min(m1,m2))}}Activ

Time complexity : Time complexity is the total amount of time required by an algorithm to perform…

for (j = n - 1; j> 0; j = j - 1) Factorial ( n ) { if n=1 for (i = 0; i A[ i+ 1]) return n * Factorial ( n - 1) Temp= A[ i ]; A[ i] = A[ i+ 1]; A[ i+1] = Temp; RecMinimum (A[], I, r) if r-ls1 return min (A[ 1], A[ r ])) else mid = [(ltr)/2] ml = RecMinimum (A, I, mid)

for (j = n - 1; j> 0; j = j - 1) Factorial ( n ) { if n=1 for (i = 0; i A[ i+ 1]) return n * Factorial ( n - 1) Temp= A[ i ]; A[ i] = A[ i+ 1]; A[ i+1] = Temp; RecMinimum (A[], I, r) if r-ls1 return min (A[ 1], A[ r ])) else mid = [(ltr)/2] ml = RecMinimum (A, I, mid)

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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Concept explainers

Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.

Question

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e) Find the time complexity of the codes shown below:
Factorial ( n )
for (j = n - 1; j> 0; j = j - 1)
{
{
if n= 1
for (i = 0; i<j; i=i+1)
{
if (A[ i]> A[ i+ 1])
{
return 1
else
return n * Factorial ( n - 1)
}
Temp= A[ i ];
RecMinimum (A[], 1, r)
if r-1<1
return min (A[ 1], A[ r ]))
else
A[ i] = A[ i+1];
A[ i+ 1] = Temp;
mid = [(ltr)/2]
ml = RecMinimum (A, I, mid)
m2 = RecMinimum (A, mid+1, r)
return (min(m1,m2))
}
}
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