[FishTank]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 thatis 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 movingright. 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 exactlym 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 programmingalgorithm that solves this problem.121034512151013251435241814Answer 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.113234

Recurrence Relation A recurrence relation is a mathematical equation or formula that defines a…

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 col 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 become s 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 advar ight. 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 n 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 require algorithm that solves this problem. 10 5 12 10 56 13 25 7 3 35 24 14 7

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 col 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 become s 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 advar ight. 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 n 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 require algorithm that solves this problem. 10 5 12 10 56 13 25 7 3 35 24 14 7

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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Concept explainers

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

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

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