The 15-puzzle problem The 15-puzzle is a larger version of the 8-puzzle. Goal: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Initial 11 5 2 1 14 8 10 15 4 13 6 9 12 3 7 For this assignment, you will implement the two uninformed search algorithms that find solutions to the 15-puzzle problem. You are requested to implement the programs to the 15-puzzle problem using: 1. Depth-first search (DFS) 2. Breadth-first search (BFS) For each of the search routines, avoid returning to states that have already been visited on the current solution path i.e., there should be no repeated states in a solution. CS580 only: Your programs should also be able to accept arbitrary initial states and find solutions for these states.  Please give proper explanation and typed answer only.

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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.