2. Let n be a positive integer, and let A be a list of positive integers. We say that the integer n can be factorized by A if there exists a sequence of integers 11, 12,..., ik (with 0 ≤i; < len (A), for j = 1,..., k) such that n is the product of the integers A[i], A[i2],..., A[ik]. Write an efficient algorithm factorizable (n, A) that returns True if n can be factorized by A, and False otherwise. Prove that your algorithm is correct, and bound its running time. Larger scores will be awarded to faster solutions. Example 1: if n = 6 and A [4,2,3], then factorizable (n, A) should return True, L[1] * L[2]. since n == Example 2: if n = 8 and A = L[0] * L[0] * L[0]. [2,5], then factorizable (n, A) should return True, since ,2,3,5,7], then factorizable (n, A) should return Example 3: if n = 13 and A = False since n cannot be factorized by A. 2. Let n be a positive integer, and let A be a list of positive integers. We say that the integern can be factorized by A if there exists a sequence of integers 11, 12,..., ik (with 0 ≤ij <len (A), for j = 1,..., k) such that n is the product of the integers A[i], A[12],..., Alix].Write an efficient algorithm factorizable(n, A) that returns True if n can be factorized byA, and False otherwise. Prove that your algorithm is correct, and bound its running time.Larger scores will be awarded to faster solutions.[4,2,3], then factorizable(n, A) should return True,Example 1: if n = 6 and A-since n == L[1] L[2].Example 2: if nn = L[0] L[0]8 and A- [2,5], then factorizable (n, A) should return True, sinceL[0].Example 3: if n - 13 and A,2,3,5,7), then factorizable (n. A) should returnFalse since n cannot be factorized by A.

The algorithm works by checking if n can be factorized using the numbers in A. It starts with the…

Answered: 2. Let n be a positive integer, and let…

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

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2. Let n be a positive integer, and let A be a list of positive integers. We say that the integer n can be factorized by A if there exists a sequence of integers 11, 12,..., ik (with 0 ≤i; < len (A), for j = 1,..., k) such that n is the product of the integers A[i], A[i2],..., A[ik]. Write an efficient algorithm factorizable (n, A) that returns True if n can be factorized by A, and False otherwise. Prove that your algorithm is correct, and bound its running time. Larger scores will be awarded to faster solutions. Example 1: if n = 6 and A [4,2,3], then factorizable (n, A) should return True, L[1] * L[2]. since n == Example 2: if n = 8 and A = L[0] * L[0] * L[0]. [2,5], then factorizable (n, A) should return True, since ,2,3,5,7], then factorizable (n, A) should return Example 3: if n = 13 and A = False since n cannot be factorized by A.

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