Consider the following program: void doSomething (int n) { int i, j; i=2; while (i <= n) { } for (j= 1; j <= n/2; j++) System.out.println (j); } i = 1 * 2; for (j = 0; j <= i; j+=4) System.out.println(j); What is the function T(n) that describes how many lines of output this program will produce in terms of its input n? T (n) = lg (n)* (n/2) + 1 T (n) = 1g (n) * (n/2) +n/2 + 1 T(n) = 1g (n) * (n/2) + 2n + 1
Consider the following program: void doSomething (int n) { int i, j; i=2; while (i <= n) { } for (j= 1; j <= n/2; j++) System.out.println (j); } i = 1 * 2; for (j = 0; j <= i; j+=4) System.out.println(j); What is the function T(n) that describes how many lines of output this program will produce in terms of its input n? T (n) = lg (n)* (n/2) + 1 T (n) = 1g (n) * (n/2) +n/2 + 1 T(n) = 1g (n) * (n/2) + 2n + 1
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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
Transcribed Image Text:Consider the following program:
void do Something (int n) {
int i, j;
i=2;
while (i <= n) {
}
for (j = 1; j <= n/2; j++)
}
System.out.println (j);
i = 1*2;
for (j = 0; j <= i; j +=4)
System.out.println(j);
What is the function T(n) that describes how many lines of output this program will produce in terms of its
input n?
T (n)
T (n)
T (n)
= 1g (n)* (n/2) + 1
lg (n) * (n/2) + n/2 + 1
1g (n) * (n/2) + 2n + 1
T (n) = lg (n) + n/2 + 1
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