Design a brute-force algorithm for computing the value of a polynomial (in the image below) at a given point x0 and determine its worst-case efficiency class. Algorithm BruteForcePolynomialEvaluation(P[0..n], x) //The algorithm computes the value of polynomial P at a given point x //by the “highest-to-lowest term” brute-force algorithm //Input: Array P[0..n] of the coefficients of a polynomial of degree n, // stored from the lowest to the highest and a number x //Output: The value of the polynomial at the point x If the algorithm you designed is in O(n^2), design a linear algorithm for this problem. Is it possible to design an algorithm with a better than linear efficiency for this problem? Why?
Design a brute-force algorithm for computing the value of a polynomial (in the image below) at a given point x0 and determine its worst-case efficiency class. Algorithm BruteForcePolynomialEvaluation(P[0..n], x) //The algorithm computes the value of polynomial P at a given point x //by the “highest-to-lowest term” brute-force algorithm //Input: Array P[0..n] of the coefficients of a polynomial of degree n, // stored from the lowest to the highest and a number x //Output: The value of the polynomial at the point x If the algorithm you designed is in O(n^2), design a linear algorithm for this problem. Is it possible to design an algorithm with a better than linear efficiency for this problem? Why?
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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Design a brute-force
Algorithm BruteForcePolynomialEvaluation(P[0..n], x)
//The algorithm computes the value of polynomial P at a given point x
//by the “highest-to-lowest term” brute-force algorithm
//Input: Array P[0..n] of the coefficients of a polynomial of degree n,
// stored from the lowest to the highest and a number x
//Output: The value of the polynomial at the point x
- If the algorithm you designed is in O(n^2), design a linear algorithm for this problem.
- Is it possible to design an algorithm with a better than linear efficiency for this problem? Why?
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