How to resolve the algorithm Sorting algorithms/Bogosort step by step in the Ruby programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Sorting algorithms/Bogosort step by step in the Ruby programming language

Table of Contents

Problem Statement

Bogosort a list of numbers.

Bogosort simply shuffles a collection randomly until it is sorted. "Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is   O(n!)   because the chance that any given shuffle of a set will end up in sorted order is about one in   n   factorial,   and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence. Its best case is   O(n)   since a single pass through the elements may suffice to order them.

Pseudocode:

The Knuth shuffle may be used to implement the shuffle part of this algorithm.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Sorting algorithms/Bogosort step by step in the Ruby programming language

Shuffle Method:

The shuffle method is a helper function used for randomizing the order of elements in a list (l). It uses the sort_by method with a block that generates a random number for each element. The resulting list is sorted based on these random numbers, effectively shuffling the original list.

Bogosort Method (Version 1):

The bogosort method implements the basic Bogosort algorithm, which tries to sort a list by repeatedly shuffling it until it happens to be in the correct order. It uses the in_order method to check if the list is sorted.

In-Order Method:

The in_order method is a helper function that checks if a list (l) is in ascending order. It iterates through the list and checks if each element is less than or equal to the next element. If all checks pass, the list is considered in order.

Bogosort Method (Version 2):

This is an alternate version of the bogosort method that uses a slightly different approach. Instead of using the in_order method, it checks if the shuffled list is equal to the sorted list. This is a more straightforward way to check if the list is correctly ordered.

Bogosort Method (Version 3):

This is the most concise Bogosort implementation that uses the built-in shuffle! method to randomize the order of the list. It continues shuffling until the in_order method confirms that the list is sorted.

Summary:

The Bogosort algorithm is known for its inefficient nature. It relies on random shuffling and luck to achieve a sorted result. In the provided implementations, the shuffle method generates randomness, while the in_order method checks for sortedness. The bogosort method applies these principles to attempt to sort a list by shuffling it repeatedly until it happens to be in the correct order.

Source code in the ruby programming language

def shuffle(l)
    l.sort_by { rand }
end

def bogosort(l)
    l = shuffle(l) until in_order(l)
    l
end

def in_order(l)
    (0..l.length-2).all? {|i| l[i] <= l[i+1] }
end


def shuffle(l)
    l.sort_by { rand }
end

def bogosort(l)
   l = shuffle(l) until l == l.sort
   l
end


def in_order(l)
    (0..l.length-2).all? {|i| l[i] <= l[i+1] }
end

def bogosort(l)
   l.shuffle! until in_order(l)
   l
end


  

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