Problem 1. Suppose you are given an array A[1 n] of integers that can be positive or negative. A contiguous subarray A[i: j] of A is called a positive subarray if sum of its entries is strictly positive, i.e., j ΣA[k] > 0. k=i Design and analyze a dynamic programming algorithm that in O(n²) time finds the smallest number of positive contiguous subarrays of A such that every positive entry of A belongs to exactly one of these subarrays. You can assume that A has at least one positive entry and thus the answer is at least one.

Problem 1. Suppose you are given an array A[1 n] of integers that can be positive or negative. A contiguous subarray A[i: j] of A is called a positive subarray if sum of its entries is strictly positive, i.e., j ΣA[k] > 0. k=i Design and analyze a dynamic programming algorithm that in O(n²) time finds the smallest number of positive contiguous subarrays of A such that every positive entry of A belongs to exactly one of these subarrays. You can assume that A has at least one positive entry and thus the answer is at least one.

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

Basic operations

A computer is an electronic machine that processes data by performing operations on it. Computer operations are actions performed by the computer to complete a given task. A computer can take input, store values/ information, process information and produce output.

Question

I need the algorithm, proof of correctness and runtime analysis for the problem. No code necessary ONLY algorithm. And runtime should be O(n^2).

Problem 1. Suppose you are given an array A[1: n] of integers that can be positive or negative. A
contiguous subarray A[i: j] of A is called a positive subarray if sum of its entries is strictly positive, i.e.,
J
ΣA[k] > 0.
k=i
Design and analyze a dynamic programming algorithm that in O(n²) time finds the smallest number of
positive contiguous subarrays of A such that every positive entry of A belongs to exactly one of these
subarrays. You can assume that A has at least one positive entry and thus the answer is at least one.

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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