Given the recurrence relation:1 if n=1T(n) = {n* T(n-1) if n>1What is the solution for T(n)?I. nII. n²III, n(n+1)/2IV. n!V. None of the aboveO 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 IIIIIVO v

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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

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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