Question: Write an efficient algorithm for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you believe there

Write an efficient algorithm for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you believe there is no polynomial-time algorithm, then describe the reason.

  • Problem: Longest valley subsequence
  • Input: An array A[1...n] of positive integers.
  • Output: The length of the longest valley subsequence. A valley subsequence is first decreasing and then increasing.
  • Example: Input: A = [1,7,2,3,1,5,4,6,8]. Output: 6 (because of 7,3,1,4,6,8)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Write an efficient algorithm for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a...

Q:

Write an efficient algorithm for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a...

Q:

Write an efficient algorithm for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a...

Q:

Write an efficient algorithm for the following problem, briefly describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a...

Q:

Let G be an undirected graph where the vertices are colored with either red or blue. Give a source vertex s, the problem is to find a path with the maximum number of red vertices. Write an efficient...

Q:

Let G be an undirected graph where the vertices are colored with either red or blue. Give a source vertex s, the problem is to find a path with the maximum number of red vertices. Write an efficient...

Q:

Let G be a directed graph. The problem is to decide whether G has a rooted tree such that there is a directed path from the root to every other vertex in the graph. Write an efficient algorithm for...

Q:

Let G be a directed graph. The problem is to decide whether G has a rooted tree such that there is a directed path from the root to every other vertex in the graph. Write an efficient algorithm for...

Q:

Write an efficient algorithm for the problem below, briefly describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a...

Q:

Write an efficient algorithm for the problem below, describe why it is a correct algorithm, and analyze the time complexity. If you cannot find any polynomial-time algorithm, then give a backtracking...

Q:

When bonds are purchased in the market by an affiliate, the book value of the inter company bond liability is: a. The par value of the bonds less unamortized issuance costs and less unamortized...

Q:

What are the differences in income and sales tax consequences for an e-commerce retailer if they delivered their products physically through mail to retail outlets versus if they delivered their...

Q:

Question 3 ( 1 point ) Experiential or creative intelligence involves being able to:

Q:

You are serving on a juryA plaintiff is suing the city for injuries sustained after a freak street - sweeper accidentIn the trial, doctors testified that it will be five years before the plaintiff is...

Q:

William Jenson bought a pre-owned Audi with a one-year warranty from Best Motors. After driving the car for a week, he noticed a squeaking sound that appeared to be from the motor. He returned to the...

Q:

Discuss the importance of using the youviewpoint for effective communication of negative messages. (Objectives 1 and 2)

Q:

Why does the message receivers culture affect the choice of direct or indirect plan for communicating negative messages? (Objective 2)