2. For this problem consider the Average problem stated below. Average Input: A sequence of n integers A= (a), a2 . am). Output: meQ such that m=- a, a) Using pseudocode state an algorithm that solves the Average problem using a loop. b) Identify the loop invariant for the loop in your algorithm that will help you prove your algorithm is correct. That is, state the loop invariant as a proposition of the kind "After iteration i of the loop.". c) Using induction prove that your loop invariant holds for each iteration i. d) Using the loop invariant show that your algorithm is correct.

2. For this problem consider the Average problem stated below. Average Input: A sequence of n integers A= (a), a2 . am). Output: meQ such that m=- a, a) Using pseudocode state an algorithm that solves the Average problem using a loop. b) Identify the loop invariant for the loop in your algorithm that will help you prove your algorithm is correct. That is, state the loop invariant as a proposition of the kind "After iteration i of the loop.". c) Using induction prove that your loop invariant holds for each iteration i. d) Using the loop invariant show that your algorithm is correct.

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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