Given the recurrence relation: 1 if n=1 T(n) = { n* T(n-1) if n>1 What is the solution for T(n)?
Given the recurrence relation: 1 if n=1 T(n) = { n* T(n-1) if n>1 What is the solution for T(n)?
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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Question
![Given the recurrence relation:
1 if n=1
T(n) = {
n* T(n-1) if n>1
What is the solution for T(n)?
I. n
II. n²
III, n(n+1)/2
IV. n!
V. None of the above
O IV](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab5b3963-cec0-4b67-9eed-f655b22a1d2a%2F81cf6a40-fa8a-4397-9b16-9f0b0de2210b%2Fakuexm_processed.png&w=3840&q=75)
Transcribed Image Text:Given the recurrence relation:
1 if n=1
T(n) = {
n* T(n-1) if n>1
What is the solution for T(n)?
I. n
II. n²
III, n(n+1)/2
IV. n!
V. None of the above
O IV
![for (i=n/2; i <= n; i++)
for (j = 1; j<= n; j = j*2)
count++;
The complexity of the above computation is:
I. O(n)
II. O(log n )
II. O(log n)?
IV. O(n² log n)
V. O(n log n)
O II
II
IV
O v](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab5b3963-cec0-4b67-9eed-f655b22a1d2a%2F81cf6a40-fa8a-4397-9b16-9f0b0de2210b%2Fzevdzf_processed.png&w=3840&q=75)
Transcribed Image Text:for (i=n/2; i <= n; i++)
for (j = 1; j<= n; j = j*2)
count++;
The complexity of the above computation is:
I. O(n)
II. O(log n )
II. O(log n)?
IV. O(n² log n)
V. O(n log n)
O II
II
IV
O v
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