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

This code snippet contains a method called gnomesort! that is added to the Array class. This method implements the gnome sort algorithm, which is a simple and efficient sorting algorithm.

The gnomesort! method works by iterating through the array, comparing adjacent elements, and swapping them if they are out of order. The algorithm starts with the second element in the array and compares it to the first element. If the second element is less than the first element, the two elements are swapped. The algorithm then proceeds to the next element and compares it to the previous element, and so on.

If the algorithm ever reaches the end of the array, it starts over from the beginning. The algorithm continues until no more swaps are made, indicating that the array is sorted.

The following is a detailed explanation of the code:

• The gnomesort! method is defined as an instance method of the Array class, which means that it can be called on any array object.
• The method takes no arguments.
• The method initializes two variables, i and j, to 1 and 2, respectively. These variables will be used to track the current and next elements in the array.
• The method enters a while loop that continues as long as i is less than the length of the array.
• Inside the loop, the method compares the current element (self[i-1]) to the next element (self[i]). If the current element is less than or equal to the next element, the method increments i and j by 1. This means that the method moves on to the next pair of elements in the array.
• If the current element is greater than the next element, the method swaps the two elements using the self[i-1], self[i] = self[i], self[i-1] statement. The method then decrements i by 1. This means that the method moves back to the previous pair of elements in the array.
• If i is equal to 0, the method increments i and j by 1. This means that the method wraps around to the beginning of the array.
• The loop continues until no more swaps are made.
• The method returns the sorted array.

The following is an example of how to use the gnomesort! method:

ary = [7,6,5,9,8,4,3,1,2,0]
ary.gnomesort!
# => [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]

The gnomesort! method is a simple and efficient sorting algorithm that can be easily implemented in Ruby. The algorithm is well-suited for small arrays and can be used to sort arrays of any type of data.

class Array
  def gnomesort!
    i, j = 1, 2
    while i < length
      if self[i-1] <= self[i]
        i, j = j, j+1
      else
        self[i-1], self[i] = self[i], self[i-1]
        i -= 1
        if i == 0
          i, j = j, j+1
        end
      end
    end
    self
  end
end
ary = [7,6,5,9,8,4,3,1,2,0]
ary.gnomesort!
# => [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]