Question: Write a Java program to solve a Towers of Hanoi puzzle given the number of disks. The program should first prompt the user for the

Write a Java program to solve a Towers of Hanoi puzzle given the number of disks. The program should first prompt the user for the number of disks. Then it should display the steps, one per line. Each step should indicate source peg and destination peg (see sample output below). The steps should also be sequentially numbered. In addition, your program should answer the following: By not counting movements, write a recursive module to report how many movements there will be in total.

Sample Output:

How many disks? (0 to end) 3

1: 1 to 3

2: 1 to 2

3: 3 to 2

4: 1 to 3

5: 2 to 1

6: 2 to 3

7: 1 to 3

Total Moves = 7

How many disks? (0 to end) 0

Total Moves = 0

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