Explain how to answer the following questions The sorted values array contains the sixteen integers 1, 2, 3, 13, 13, 20, 24, 25, 30, 32, 40, 45, 50, 52, 57, 60. How many recursive calls are made by our binarySearch method, given an initial invocation of binarySearch(25, 0, 15)? A. 4 B. 2 C. 1 D. 0 E. 3 The Nth Fibonacci number can be defined recursively as follows: Fib(N) = N if N = 0 or 1, Fib (N) = Fib(N – 1) + Fib(N – 2). Complete the following sentence with the best match. Using a recursive method to calculate and return the Nth Fibonacci number: A. makes use of indirect recursion. B. is a bad idea because it would be terribly inefficient. C. is a good approach because it easy to translate the definition into code. D. would use tail recursion. E. requires N – 1 method calls. Assuming values is a full array of int, what does the following recursive method return (assume it is passed a legal argument, a value between 0 and values.length)? int mystery(int n) { if (n == values.length) return 0; else return (1 + mystery(n + 1)); } A. the number of values in the array between index n and the start of the array B. the number of values in the array between index n and the end of the array. C. the sum of the values in the array between index n and the start of the array. D. the sum of the values in the array between index n and the end of the array

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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Explain how to answer the following questions

The sorted values array contains the sixteen integers 1, 2, 3, 13, 13, 20, 24, 25, 30, 32, 40, 45, 50, 52, 57, 60. How many recursive calls are made by our binarySearch method, given an initial invocation of binarySearch(25, 0, 15)? A. 4 B. 2 C. 1 D. 0 E. 3

The N^th Fibonacci number can be defined recursively as follows: Fib(N) = N if N = 0 or 1, Fib (N) = Fib(N – 1) + Fib(N – 2). Complete the following sentence with the best match. Using a recursive method to calculate and return the N^th Fibonacci number:

A. makes use of indirect recursion. B. is a bad idea because it would be terribly inefficient.

C. is a good approach because it easy to translate the definition into code.

D. would use tail recursion. E. requires N – 1 method calls.

Assuming values is a full array of int, what does the following recursive method return (assume it is passed a legal argument, a value between 0 and values.length)?

int mystery(int n)

{

if (n == values.length)

return 0;

else

return (1 + mystery(n + 1));

}

A. the number of values in the array between index n and the start of the array B. the number of values in the array between index n and the end of the array. C. the sum of the values in the array between index n and the start of the array. D. the sum of the values in the array between index n and the end of the array

If we cannot remove recursion because tail recursion does not exist, we can always remove it by using: A. statically allocated activation records

B. a dynamic programming approach. C. our own explicitly declared stack. D. a carefully constructed loop

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