What is the running time function in terms of n? What is the big-oh of the running time function? Consider the following algorithm that counts the total number of characters (assume lower case characters) that have a duplicate within a string, excluding spaces. (i.e. "gigi the gato" would result is 7 (g x 3 + i x 2 + t x 2). Assume that (a) the string has n characters and that, and (b) the increment on line 3 is the operation that counts towards the algorithm's running t

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
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What is the running time function in terms of n?

What is the big-oh of the running time function?

Consider the following algorithm that counts the total number of characters (assume lower case characters) that have a duplicate within a string, excluding spaces. (i.e. "gigi the gato" would result is 7 (g x 3 + i x 2 + t x 2).

Assume that (a) the string has n characters and that, and (b) the increment on line 3 is the operation that counts towards the algorithm's running time.

Start an array of 26 counters. Each character in the alphabet (there are 26) has
a position in the array. Position 0 is the counter for a, position 1 is the counter
for b, and so forth.
6.
01 FOR each alphabet letter
FOR each character on the string
INCREMENT character count on array of counters
02
03
04
ENDFOR
05
ENDFOR
06 FOR each character on the array of counters
07
IF count > 1 THEN
08
DISPLAY character + count
09
ENDIF
10 ENDFOR
Transcribed Image Text:Start an array of 26 counters. Each character in the alphabet (there are 26) has a position in the array. Position 0 is the counter for a, position 1 is the counter for b, and so forth. 6. 01 FOR each alphabet letter FOR each character on the string INCREMENT character count on array of counters 02 03 04 ENDFOR 05 ENDFOR 06 FOR each character on the array of counters 07 IF count > 1 THEN 08 DISPLAY character + count 09 ENDIF 10 ENDFOR
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