Develop an algorithm to count the number of subsequences of a sequence of n characters (for example the number of subsequences of the sequence [b,c,d,e,f] is 15) by following the logic given below. What is the complexity class of your algorithm? Count all the subsequences starting from the first character in a variable named count. Then count all the subsequences starting from the second character and add this number in the variable count. Then count all the subsequences starting from the third character and add this number in the variable count.Keep on doing this until you count the last subsequence containing only the last character and add this number in the variable count.Finally output the count. The algorithms starting sentences are as follows: ALGORITHM CountSubSequence ( A[0….n-1])//Implements Count all the subsequences//Input: An array A[0….n-1] of n characters//Output: The count of all the subsequences of the sequence

In this problem, we need to count all the subsequences of a sequence. First approach: Mainly we can…

Answered: Develop an algorithm to count the…

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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Develop an algorithm to count the number of subsequences of a sequence of n characters (for example the number of subsequences of the sequence [b,c,d,e,f] is 15) by following the logic given below. What is the complexity class of your algorithm?

Count all the subsequences starting from the first character in a variable named count.
Then count all the subsequences starting from the second character and add this number in the variable count.
Then count all the subsequences starting from the third character and add this number in the variable count.
Keep on doing this until you count the last subsequence containing only the last character and add this number in the variable count.
Finally output the count.

The algorithms starting sentences are as follows:

ALGORITHM CountSubSequence ( A[0….n-1])
//Implements Count all the subsequences
//Input: An array A[0….n-1] of n characters
//Output: The count of all the subsequences of the sequence

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