S1, ifn< 3 T(2n/3) +n, if n > 1. T(n) = Fill in the blank next to each statement below with Tif the statement is True. or with F if the statement is False. T(n) 0(n) %3D T(n) = 0(n) %3D T(n) = 0(n²) T(n) 0(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 9**

\[ T(n) = 
  \begin{cases} 
   1, & \text{if } n < 3 \\
   T(2n/3) + n, & \text{if } n > 1 
  \end{cases}
\]

Fill in the blank next to each statement below with T if the statement is True, or with F if the statement is False.

- \(\quad T(n) = \Theta(n)\)  \_\_\_\_
- \(\quad T(n) = \Theta(n^3)\) \_\_\_\_
- \(\quad T(n) = \Theta(n^2)\) \_\_\_\_
- \(\quad T(n) = O(n^2)\)  \_\_\_\_
Transcribed Image Text:**Question 9** \[ T(n) = \begin{cases} 1, & \text{if } n < 3 \\ T(2n/3) + n, & \text{if } n > 1 \end{cases} \] Fill in the blank next to each statement below with T if the statement is True, or with F if the statement is False. - \(\quad T(n) = \Theta(n)\) \_\_\_\_ - \(\quad T(n) = \Theta(n^3)\) \_\_\_\_ - \(\quad T(n) = \Theta(n^2)\) \_\_\_\_ - \(\quad T(n) = O(n^2)\) \_\_\_\_
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