Find the Big-O and explain why:

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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Find the Big-O and explain why:

The following code prints all strings of length k where the characters are in sorted order. It
does this by generating all strings of length k and then checking if each is sorted.
1 int numchars = 26;
2 void printsortedstrings (int remaining) {
printsortedstrings(remaining, "");
3
4
5
6 void printsortedstrings (int remaining, String prefix) {
if (remaining-- 0) {
if (isinorder(prefix)) {
System.out.println(prefix);
7
10
11
else (
for (int i- e; i < numchars; i++) {
char c= ithletter(i);
printsortedstrings (remaining - 1, prefix + c);
12
13
14
15
16
17
18 }
19
20 boolean isinorder(String s) {
for (int i= 1; i< s.length(); i++) {
int prev ithletter(s.charAt(i - 1));
int curr = ithLetter(s.charat(i));
if (prev > curr) {
return false;
21
22
23
24
25
26
27
28
return true;
29 }
30
char ithLetter(int i) {
return (char) (((int) 'a') + i);
31
32
33 )|
Transcribed Image Text:The following code prints all strings of length k where the characters are in sorted order. It does this by generating all strings of length k and then checking if each is sorted. 1 int numchars = 26; 2 void printsortedstrings (int remaining) { printsortedstrings(remaining, ""); 3 4 5 6 void printsortedstrings (int remaining, String prefix) { if (remaining-- 0) { if (isinorder(prefix)) { System.out.println(prefix); 7 10 11 else ( for (int i- e; i < numchars; i++) { char c= ithletter(i); printsortedstrings (remaining - 1, prefix + c); 12 13 14 15 16 17 18 } 19 20 boolean isinorder(String s) { for (int i= 1; i< s.length(); i++) { int prev ithletter(s.charAt(i - 1)); int curr = ithLetter(s.charat(i)); if (prev > curr) { return false; 21 22 23 24 25 26 27 28 return true; 29 } 30 char ithLetter(int i) { return (char) (((int) 'a') + i); 31 32 33 )|
Expert Solution
Step 1

 Time complexity is a measure of the amount of time an algorithm takes to solve a problem as a function of the size of the input to the problem. 

It describes how the running time of an algorithm increases as the size of the input increases.

 

 Time complexity is usually expressed using "big O" notation, which gives an upper bound on the growth rate of the running time as a function of the size of the input.

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