- Assuming we know the right recursive strategy to solve Tow- ersof Hanoi problem. In this problem, you are asked to:
NOTE: Solve the whole task using Microsoft word or other contenteditor.
- Write a recursive function (in the programming language of yourchoice) that shows the sequence of steps to solve the Towers ofHanoi with 3 pegs and n discs.
- Write a recurrence relation that determines the runtime of thisprogram and solve the recurrence relation to obtain the runtime ofthe program.
- Prove by induction that the correct number of steps to solveTower of Hanoi is the same as one you obtained.
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