Problem

How many times is the  moveDisks function in Listing invokedFor moveDisks(5, ‘A’ ,’B’, ‘C’...

How many times is the  moveDisks function in Listing invoked

For moveDisks(5, ‘A’ ,’B’, ‘C’)?

Listing TowersOfHanoi.cpp

1#include

2using namespace std;

3

4 // The function for finding the solution to move n disks

5 // from fromTower to toTower with auxTower

6 void moveDisks(int n, char fromTower, char toTower, char auxTower)

7 {

8 if (n == 1) // Stopping condition

9 cout << "Move disk ” << n << ” from ” <<<

10 fromTower << " to " << toTower << endl;

11else

12 {

13 moveDisks(n - 1, fromTower, auxTower, toTower);

14 cout << "Move disk" << n << " from " <<<

15 fromTower <<< " to " << toTower << endl;

16 moveDisks(n - 1, auxTower, toTower,fromTower);

17 }

18 }

19

20 int main()

21 {

22   // Read number of disks, n

23   cout << "Enter number of disks: ";

24   int n;

25   cin >> n;

26

27 // Find the solution recursively

28 cout << "The moves are: " << endl;

39 moveDisks(n, 'A', 'B', 'C');

30

31 return 0 ;

32 }

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