The Towers of Hanoi problem recursively moves n disks from tower A to tower B with the assistance of tower C as follows: 1. Move the first n -1 disks from A to C with the assistance of tower B. 2. Move disk n from A to B. 3. Move n -1 disks from C to B with the assistance of tower A. Solve the recurrence relation to find the time complexity, T(n), of this algorithm to move n disks from tower A to tower B.

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Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.