One remarkably simple formula for calculating the value of p is the so-calledMadhava-Leibniz series: p4 = 1-13+15-17+19-.... Consider the recursive functionbelow to calculate the first n terms of this formula:double computePI(int n){if (n <= 1) { return 1.0;}int oddnum = 2 * n - 1;if ((n % 2) == 0{}return -1.0 oddnum + computePI(n − 1);}else{}return 1.0 / oddnum + computePI (n - 1);Which statements about the run-time performance of this function are true?1.Each time this function is called it will invoke at least two more recursive callsII.The number of recursive calls this function will make is approximately equal to thevalue of the parameter variable nIII.Not counting overhead, this function will be about as efficient as an iterativeimplementation of the same formula }In ouunu = 2*11 - 1;if ((n % 2) == 0{return -1.0 / oddnum + computePI(n-1);}elsereturn 1.0 / oddnum + computePI(n - 1);Which statements about the run-time performance of this function are true?1.Each time this function is called it will invoke at least two more recursive callsII.The number of recursive calls this function will make is approximately equal to thevalue of the parameter variable nIII.Not counting overhead, this function will be about as efficient as an iterativeimplementation of the same formulaOI, IIOI, III© II, IIIO I, II, III

The question asks to evaluate statements about the run-time performance of a given recursive…

One remarkably simple formula for calculating the value of p is the so-called Madhava-Leibniz series: p4 = 1-13+15-17+19-... . Consider the recursive function below to calculate the first n terms of this formula: double computePI (int n) { if (n <= 1) { return 1.0;} int oddnum = 2 * n

One remarkably simple formula for calculating the value of p is the so-called Madhava-Leibniz series: p4 = 1-13+15-17+19-... . Consider the recursive function below to calculate the first n terms of this formula: double computePI (int n) { if (n <= 1) { return 1.0;} int oddnum = 2 * n

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

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

One remarkably simple formula for calculating the value of p is the so-called
Madhava-Leibniz series: p4 = 1-13+15-17+19-.... Consider the recursive function
below to calculate the first n terms of this formula:
double computePI(int n)
{
if (n <= 1) { return 1.0;}
int oddnum = 2 * n - 1;
if ((n % 2) == 0
{
}
return -1.0 oddnum + computePI(n − 1);
}
else
{
}
return 1.0 / oddnum + computePI (n - 1);
Which statements about the run-time performance of this function are true?
1.Each time this function is called it will invoke at least two more recursive calls
II.The number of recursive calls this function will make is approximately equal to the
value of the parameter variable n
III.Not counting overhead, this function will be about as efficient as an iterative
implementation of the same formula

}
In ouunu = 2*11 - 1;
if ((n % 2) == 0
{
return -1.0 / oddnum + computePI(n-1);
}
else
return 1.0 / oddnum + computePI(n - 1);
Which statements about the run-time performance of this function are true?
1.Each time this function is called it will invoke at least two more recursive calls
II.The number of recursive calls this function will make is approximately equal to the
value of the parameter variable n
III.Not counting overhead, this function will be about as efficient as an iterative
implementation of the same formula
OI, II
OI, III
© II, III
O I, II, III

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