The recurrence relation capturing the optimal execution time of the Towers of Hanoi problem with ṅ discs is

1
T(n) = 2T(n − 2) + 2
2
T(n) = 2T(n − 1) + n
3
T(n) = 2T(n/2) + 1
4
T(n) = 2T(n − 1) + 1

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