Example 2 Input: grid 1 -2 Output: 8 Explanation: Maximum non-negative product (in red) is 1-1.-2.-4-1= 8. Example 3 Input: grid Output: 0 Explanation: Maximum non-negative product (in red) is 1.0.-4 = 0. Example 4 Input: 1 4 4 0] grid =-2 0 0 1 -1 1 1 Output: 2 Explanation: Maximum non-negative product (in red) is 1.-2-1.-1 1.1=2. You must solve this using both a bottom-up Dynamic Programming algorithm and a memoized recursive algorithm. (a) Pseudocode • Define the subproblems for your DP solution for finding the maximum non-negative product value. • Give a recursive formulation, including the base cases, to solve this problem. • What is the running time of your solution? • Write a DP algorithm (give pseudocode) that outputs the maximum non-negative product value. • Write a memoized algorithm (give pseudocode) that outputs the maximum non-negative product value. (b) Source Code • Write your solution in Python, C, C++, Java, or JavaScript.

Example 2 Input: grid 1 -2 Output: 8 Explanation: Maximum non-negative product (in red) is 1-1.-2.-4-1= 8. Example 3 Input: grid Output: 0 Explanation: Maximum non-negative product (in red) is 1.0.-4 = 0. Example 4 Input: 1 4 4 0] grid =-2 0 0 1 -1 1 1 Output: 2 Explanation: Maximum non-negative product (in red) is 1.-2-1.-1 1.1=2. You must solve this using both a bottom-up Dynamic Programming algorithm and a memoized recursive algorithm. (a) Pseudocode • Define the subproblems for your DP solution for finding the maximum non-negative product value. • Give a recursive formulation, including the base cases, to solve this problem. • What is the running time of your solution? • Write a DP algorithm (give pseudocode) that outputs the maximum non-negative product value. • Write a memoized algorithm (give pseudocode) that outputs the maximum non-negative product value. (b) Source Code • Write your solution in Python, C, C++, Java, or JavaScript.

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

Embedded Software Development

Using specific programming languages (like C and C++) to write code for a specific hardware device in which it runs is called embedded software development. It makes the device smart by performing actions based on user's input which improves the user experience. They are designed to perform function-specific tasks rather than doing multiple tasks like computers. The embedded system is incredibly intuitive. An embedded software system could be a system developed and organized on any device, apart from an old-fashioned computer. It is the brain of a specific device; however, it is a solely useless tool and simple to elucidate what software system is embedded.

Question

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Example 2
Input:
2 1
grid
3
1.
Output: 8
Explanation: Maximum non-negative product (in red) is 1.1.-2.-4-1= 8.
Example 3
Input:
ena -
3
grid
Output: 0
Explanation: Maximum non-negative product (in red) is 1.0.-4 = 0.
Example 4
Input:
1
grid
-2
0 1
1
-1
1.
1.
Output: 2
Explanation: Maximum non-negative product (in red) is 1.-2.1.-1-1.1 = 2.
You must solve this using both a bottom-up Dynamic Programming algorithm and a memoized
recursive algorithm.
(a) Pseudocode
• Define the subproblems for your DP solution for finding the maximum non-negative product
value.
• Give a recursive formulation, including the base cases, to solve this problem.
• What is the running time of your solution?
• Write a DP algorithm (give pseudocode) that outputs the maximum non-negative product
value.
• Write a memoized algorithm (give pseudocode) that outputs the maximum non-negative
product value.
(b) Source Code
• Write your solution in Python, C, C++, Java, or JavaScript.

Problem 1> Maximum Non-Negative Product in a Matrix
You are given a rows x cols matrix grid. Initially, you are located at the top-left corner (0,0)
and, in each step, you can only move right or down in the matrix.
Among all possible paths starting from the top-left corner (0,0) and ending in the bottom-right
corner (rows – 1, cols - 1), find the path with the maximum non-negative product. The product
of a path is the product of all integers in the grid cells visited along the path.
Return the maximum non-negative product mod 10° + 7. If the maximum product is negative,
return –1.
Note that the modulo is performed after getting the maximum product.
Example 1
Input:
-2
grid=
-3
-3
-3
-2
Output: -1
Explanation: It's not possible to get non-negative product in the path from (0, 0) to (2, 2), so
return -1.

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