Answered: 1. task: Introduction and basics. And…

1. task: Introduction and basics. And again, Peter Puzzle has found a piece of paper with the following code: int FooBar (A, i) { n= len (A); if (i == n-1) return A; for (j= (i + 1); j

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

Array

The simplest way to start thinking about an array is as a collection, or a set of elements. In programming, these elements may be constants, variables, functions and pointers.

Question

1. task: Introduction and basics. And again, Peter Puzzle has found a piece of
paper with the following code:
int FooBar (A, i) {
n= len (A);
if (i == n-1) return A;
for (j= (i + 1); j<n; j++) {
if (A[i] <A[j]) { temp= A[i]; A[i] = A[j]; A[j] = temp; }
}
return FooBar (A, i+1)
}
QUESTIONS:
A) (i.) What is the loop invariant for the for loop based on which you can
show what the function actually returns? (ii.) Show that it remains invariant
throughout the execution of the function.
B) (i.) What does the array A returned by the function FooBar (A, i) contain?
Justify your answer. (ii.) What does the array A returned by the function
FooBar (A, 0) contain? Justify your answer.
HINT: Use induction.
C) (i.) What is the time complexity of the function FooBar if we count the
number of comparisons over the elements of the array A? Justify your answer.

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