Display values from table: The contents from the table can be viewed by using “SELECT” statement which comes under Data Manipulation Language (DML). Syntax to view the contents using asterisk () is as follows: SELECT FROM table_Name; Columns can also be retrieved by replacing all the column names in place of the asterisk symbol. WHERE Statement: “WHERE” statement is used limit the number of rows. For example: Consider a table “FTable” that has two columns named “FruitName” and “Color”. “WHERE” clause is used when there is a need to display the entire FruitName whose color is Red. SELECT * FROM FTable WHERE color = 'red'; When the above statement is executed, red colored fruits get displayed.

Question

Design a dynamic programming algorithm for the Longest Alternating Subsequence problem described below: Input: A sequence of n integers Output: The length of the longest subsequence where the numbers alternate between being larger and smaller than their predecessor The algorithm must take O(n²) time. You must also write and explain the recurrence. Example 1: Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4] Output: 8 ([3, 5, 4, 6, 5, 7, 3, 4]) Example 2: Input: [4,7,2,5,8, 3, 8, 0, 4, 7, 8] Output: 8 ([4, 7, 2, 5, 3, 8, 0,4]) (Take your time with this for the subproblem for this one)

Answer 1

Question

Chapter 7, Problem 3P

Program Plan Intro

Display values from table:

The contents from the table can be viewed by using “SELECT” statement which comes under Data Manipulation Language (DML). Syntax to view the contents using asterisk () is as follows:

SELECT FROM table_Name;

Columns can also be retrieved by replacing all the column names in place of the asterisk symbol.

WHERE Statement:

“WHERE” statement is used limit the number of rows. For example: Consider a table “FTable” that has two columns named “FruitName” and “Color”. “WHERE” clause is used when there is a need to display the entire FruitName whose color is Red.

SELECT * FROM FTable WHERE color = 'red';

When the above statement is executed, red colored fruits get displayed.

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Design a dynamic programming algorithm for the Longest Alternating Subsequence problem described below: Input: A sequence of n integers Output: The length of the longest subsequence where the numbers alternate between being larger and smaller than their predecessor The algorithm must take O(n²) time. You must also write and explain the recurrence. Example 1: Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4] Output: 8 ([3, 5, 4, 6, 5, 7, 3, 4]) Example 2: Input: [4,7,2,5,8, 3, 8, 0, 4, 7, 8] Output: 8 ([4, 7, 2, 5, 3, 8, 0,4]) (Take your time with this for the subproblem for this one)

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