Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
[Fish
Tank]
You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j.
When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that
is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving
right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly
m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size.
The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required to develop a dynamic programming
algorithm that solves this problem.
1
2
10
3
4
5
12
15
10
13
25
14
35
24
18
14
Answer the following questions.
1. Develop a recurrence relation A, that computes the maximum size of the fish to reach a position at column ? € [1, m] and row j = [1, n].
2. Define the final answer of the algorithm based on the recurrence relation above.
3. Apply the algorithm to the problem in the figure and fill in the following table that represents A.
1
13
2
3
4
expand button
Transcribed Image Text:[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required to develop a dynamic programming algorithm that solves this problem. 1 2 10 3 4 5 12 15 10 13 25 14 35 24 18 14 Answer the following questions. 1. Develop a recurrence relation A, that computes the maximum size of the fish to reach a position at column ? € [1, m] and row j = [1, n]. 2. Define the final answer of the algorithm based on the recurrence relation above. 3. Apply the algorithm to the problem in the figure and fill in the following table that represents A. 1 13 2 3 4
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Computer Science
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Text book image
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Text book image
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
Text book image
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Text book image
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education