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 casecharacters) that have a duplicate within a string, excluding spaces. (i.e. "gigi the gato" wouldresult is 9 (g x 3 + i x 2 +tx 2)Start an array of 26 counters. Each character in the alphabet (there are 26) hasa position in the array. Position 0 is the counter for a, position 1 is the counterfor b, and so forth.01 FOR each alphabet letterFOR each character on the string0203INCREMENT character count on array of counters04ENDFOR05 ENDFOR06 FOR each character on the array of counters07IF count > 1 THEN08DISPLAY character + count09ENDIF10 ENDFORAssume that (a) the string has n characters and that, and (b) the increment on line 3 is theoperation that counts towards the algorithm's running time.

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What is the running time function in terms of n? What is the big-oh of the running time function?

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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The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

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 9 (g x 3 + i x 2 +tx 2)
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.
01 FOR each alphabet letter
FOR each character on the string
02
03
INCREMENT character count on array of counters
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
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.

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