Question 1

The overhead associated with iterative methods is greater in terms of both memory space and computer time compared to the overhead associated with executing recursive methods.

Accepted Answer

Iterative methods generally have lower overhead in terms of memory and time compared to recursive methods, as recursion involves additional function calls and stack space.

Question 2

A recursive solution is always a better alternative to an iterative solution.

Accepted Answer

Recursive solutions are not always better; they can lead to higher memory usage and stack overflow issues, whereas iterative solutions can be more efficient in terms of memory and performance.

Question 3

Which of the following is an invalid call to the method in the accompanying figure?

Accepted Answer

The method likely has a base case for non-negative numbers, so calling it with a negative number like -1 would be invalid.

Question 4

What is the output of exampleRecursion(3)?

Accepted Answer

The function exampleRecursion(3) likely involves a recursive calculation that results in the output of 36.

Question 5

What is the output of exampleRecursion(0)?

Accepted Answer

The function exampleRecursion(0) returns 0 because it is the base case of the recursion.

Question 6

Recursive algorithms are implemented using while loops.

Accepted Answer

Recursive algorithms are implemented using function calls that call themselves, not while loops.

Question 7

Given the code in the accompanying figure, which of the following method calls would result in the value 1 being returned?

Accepted Answer

The answer of Given the code in the accompanying figure,...

Question 8

Consider the following definition of a recursive method. public static int foo(int n) //Line 1 { //Line 2 if (n == 0) //Line 3 return 0; //Line 4 else //Line 5 return n + foo(n - 1); //Line 6} Which of the statements represent the base case?

Accepted Answer

The base case in a recursive function is the condition under which the function stops calling itself. In this method, the base case is when `n == 0`, which is handled by the statements in Lines 3 and 4.

Question 9

What precondition must exist in order to prevent the code in the accompanying figure from infinite recursion?

Accepted Answer

To prevent infinite recursion, the base case must be reached. If n is at least 1, it ensures that the recursive calls will eventually reach a base case where n is reduced to 0, stopping further recursion.

Question 10

What is the limiting condition of the code in the accompanying figure?

Accepted Answer

The loop will continue as long as n is greater than or equal to 0.

Question 11

Which of the following statements about the code in the accompanying is always true?

Accepted Answer

The answer of Which of the following statements about the...

Question 12

There are two base cases in the recursive implementation of generating a Fibonacci sequence.

Accepted Answer

In a recursive Fibonacci sequence, the base cases are typically defined for the first two numbers: F(0) = 0 and F(1) = 1.

Question 13

How many base cases are in the code in the accompanying figure?

Accepted Answer

The answer of How many base cases are in the...

Question 14

Which of the following statements describe the base case of a recursive algorithm? (i) F(0) = 0; (ii) F(x) = 2 * F(x - 1); (iii) if (x == 0) F(x) = 5 + x;

Accepted Answer

The base case is a condition that stops the recursion. Both (i) and (iii) provide specific values for F(x) when x equals 0, thus serving as base cases.

Question 15

What is the limiting condition of the code in the accompanying figure?

Accepted Answer

The answer of What is the limiting condition of the...

Question 16

What is the output of func2(2, 3)?

Accepted Answer

The answer of What is the output of func2(2, 3)?
...

Question 17

The limiting condition for a recursive method using a list might be the number of elements in the list.

Accepted Answer

The limiting condition for a recursive method often involves the size of the input, such as the number of elements in a list, which determines when the recursion should stop.

Question 18

Which of the following statements is NOT true about infinite recursion?

Accepted Answer

Indirect recursion does not always lead to infinite recursion; it depends on whether the recursive calls eventually reach a base case.

Question 19

Consider the following definition of a recursive method. public static int recFunc(int num) {if (num >= 10) return 10; else return num * recFunc(num + 1);} What is the output of the following statement? System.out.println(recFunc(8));

Accepted Answer

The method multiplies numbers from 8 to 9 and then returns 10, resulting in 8 * 9 * 10 = 720.

Question 20

What does the code in the accompanying figure do?

Accepted Answer

The code likely iterates from 0 to n, calculating and returning the sum of the cubes of these numbers.

Quiz 13: Recursion

The overhead associated with iterative methods is greater in terms of both memory space and computer time compared to the overhead associated with executing recursive methods.

A recursive solution is always a better alternative to an iterative solution.

Which of the following is an invalid call to the method in the accompanying figure?

What is the output of exampleRecursion(3) ?

What is the output of exampleRecursion(0) ?

Recursive algorithms are implemented using while loops.

Given the code in the accompanying figure, which of the following method calls would result in the value 1 being returned?

Consider the following definition of a recursive method. public static int foo(int n) //Line 1 { //Line 2 if (n == 0) //Line 3 return 0; //Line 4 else //Line 5 return n + foo(n - 1) ; //Line 6} Which of the statements represent the base case?

What precondition must exist in order to prevent the code in the accompanying figure from infinite recursion?

What is the limiting condition of the code in the accompanying figure?

Which of the following statements about the code in the accompanying is always true?

There are two base cases in the recursive implementation of generating a Fibonacci sequence.

How many base cases are in the code in the accompanying figure?

Which of the following statements describe the base case of a recursive algorithm? (i) F(0) = 0; (ii) F(x) = 2 * F(x - 1) ; (iii) if (x == 0) F(x) = 5 + x;

What is the limiting condition of the code in the accompanying figure?

What is the output of func2(2, 3) ?

The limiting condition for a recursive method using a list might be the number of elements in the list.

Which of the following statements is NOT true about infinite recursion?

Consider the following definition of a recursive method. public static int recFunc(int num) {if (num >= 10) return 10; else return num * recFunc(num + 1) ;} What is the output of the following statement? System.out.println(recFunc(8) ) ;

What does the code in the accompanying figure do?