Add elements in start to sort the array | Variation of Stalin Sort

Stalin sort (also ‘dictator sort‘ and ‘trump sort‘) is a nonsensical ‘sorting’ algorithm in which each element that is not in the correct order is simply eliminated from the list. 
This sorting algorithm is a less destructive variation of Stalin sort, that will actually sort the list: In this case, the elements that are not in order are moved to the start of the list in the order in which they appeared in the original list. The process is then repeated until the list is sorted. 

Examples:

Input: arr[] = {2, 1, 4, 3, 6, 5, 8, 7, 10, 9} 
Output: 1 2 3 4 5 6 7 8 9 10 
Explanation:
Those elements which were moved to the start of the list are marked bold: 
[2, 1, 4, 3, 6, 5, 8, 7, 10, 9] 
[1, 3, 5, 7, 9 2, 4, 6, 8, 10] 
[2, 4, 6, 8, 1, 3, 5, 7, 9, 10] 
[1, 3, 5, 7, 2, 4, 6, 8, 9, 10] 
[2, 4, 6, 1, 3, 5, 7, 8, 9, 10] 
[1, 3, 5, 2, 4, 6, 7, 8, 9, 10] 
[2, 4, 1, 3, 5, 6, 7, 8, 9, 10] 
[1, 3, 2, 4, 5, 6, 7, 8, 9, 10] 
[2, 1, 3, 4, 5, 6, 7, 8, 9, 10] 
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]

Input: [9, 10, 7, 8, 5, 6, 3, 4, 1, 2] 
Output: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] 
Explanation:
[9, 10, 7, 8, 5, 6, 3, 4, 1, 2] 
[7, 8, 5, 6, 3, 4, 1, 2, 9, 10] 
[5, 6, 3, 4, 1, 2, 7, 8, 9, 10] 
[3, 4, 1, 2, 5, 6, 7, 8, 9, 10] 
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10] 

Approach: The idea is to push the elements at the start of the array whenever it is less than the previous element. Repeat this step until there is no such element that is not in the correct order.

Follow the below steps to implement the above idea:

• Start by initializing a variable j to 0.
• Repeat the following steps until all elements are sorted in non-decreasing order:
              a. Initialize a variable moved to 0.
              b. Iterate through the array from index 0 to n-1-j.
                            i. If the current element is greater than the next element, remove the next element from the array and insert it at the beginning of the array.
                            ii. Increment the variable moved by 1.
             c. Increment the variable j by 1.
             d. If the variable moved is 0, all elements are sorted in non-decreasing order, so break out of the loop.
• Print the sorted array.

Below is the implementation of the above approach:

C++

// C++ implementation to sort the
// array by using the variation
// of the Stalin sort
#include<bits/stdc++.h>
using namespace std;

// Function to sort the array
void variationStalinsort(vector<int> arr)
{
    int j = 0;

    while(true)
    {
        int moved = 0;

        for(int i = 0;
                i < (arr.size() - 1 - j); i++)
        {
            if (arr[i] > arr[i + 1])
            {
                vector<int>::iterator index;
                int temp;
                index = arr.begin() + i + 1;
                temp = arr[i + 1];
                arr.erase(index);
                arr.insert(arr.begin() + moved, temp);
                moved++;
            }
        }

        j++;

        if (moved == 0)
        {
            break;
        }
    }
    for(int i = 0; i < arr.size(); i++)
    {
        cout << arr[i] << ", ";
    }
}

// Driver Code
int main()
{
    vector<int> arr = { 2, 1, 4, 3, 6,
                        5, 8, 7, 10, 9 };

    // Function call
    variationStalinsort(arr);
}

// This code is contributed by avanitrachhadiya2155

Java

// Java implementation to sort the
// array by using the variation
// of the Stalin sort
import java.util.*;
class GFG
{

  // Function to sort the array
  static void variationStalinsort(Vector<Integer> arr)
  {
    int j = 0;
    while(true)
    {
      int moved = 0;
      for(int i = 0;
          i < (arr.size() - 1 - j); i++)
      {
        if (arr.get(i) > arr.get(i+1))
        {
          //Iterator<Integer> index = arr.iterator();
          int index;
          int temp;
          index = arr.get(i);
          temp = arr.get(i + 1);
          arr.removeElement(index);
          arr.add( i, temp);
          arr.removeElement(temp);
          arr.add(i+1, index);
          moved++;
        }
      }
      j++;
      if (moved == 0)
      {
        break;
      }
    }
    System.out.print(arr);

  }

  // Driver Code
  public static void main(String[] args)
  {
    int[] arr = { 2, 1, 4, 3, 6,
                 5, 8, 7, 10, 9 };
    Vector<Integer> arr1 = new Vector<>();
    for(int i = 0; i < arr.length; i++)
      arr1.add(arr[i]);

    // Function call
    variationStalinsort(arr1);
  }
}

// This code is contributed by aashish1995

Python3

# Python3 implementation to sort
# the array by using the variation
# of the Stalin sort

# Function to sort the array
def variationStalinsort(arr):
    j = 0
    while True:
        moved = 0
        for i in range(len(arr) - 1 - j):
            if arr[i] > arr[i + 1]:
                arr.insert(moved, arr.pop(i + 1))
                moved += 1
        j += 1
        if moved == 0:
            break
    return arr

# Driver Code
if __name__ == "__main__":
    arr = [2, 1, 4, 3, 6, 5, 8, 7, 10, 9]

    # Function Call
    print(variationStalinsort(arr))

C#

// C# implementation to sort the
// array by using the variation
// of the Stalin sort
using System;
using System.Collections.Generic;
using System.Linq;
class GFG
{

  // Function to sort the array
  static void variationStalinsort(List<int> arr)
  {
    int j = 0;
    while(true)
    {
      int moved = 0;
      for(int i = 0;
          i < (arr.Count - 1 - j); i++)
      {
        if (arr[i] > arr[i+1])
        {

          //Iterator<Integer> index = arr.iterator();
          int index;
          int temp;
          index = arr[i];
          temp = arr[i + 1];
          arr.Remove(index);
          arr.Insert(i , temp);
          arr.Remove(temp);
          arr.Insert(i + 1 ,index);
          moved++;
        }
      }
      j++;
      if (moved == 0)
      {
        break;
      }
    }
    foreach(int i in arr)
    Console.Write(i + " ");

  }

  // Driver Code
  public static void Main(string[] args)
  {
    int[] arr = { 2, 1, 4, 3, 6,
                 5, 8, 7, 10, 9 };
    List<int> arr1 = new List<int>();
    for(int i = 0; i < arr.Length; i++)
      arr1.Add(arr[i]);

    // Function call
    variationStalinsort(arr1);
  }
}

// This code is contributed by ukasp.

Javascript

<script>

// Javascript implementation to sort the
// array by using the variation
// of the Stalin sort

// Function to sort the array
function variationStalinsort(arr)
{
    let j = 0;
    while(true)
    {
        let moved = 0;
        for(let i = 0;
                i < (arr.length - 1 - j);
                i++)
        {
            if (arr[i] > arr[i+1])
            {

                // Iterator<Integer> index = arr.iterator();
                let index;
                let temp;
                index = arr[i];
                temp = arr[i + 1];
                arr.splice(i, 1);
                arr.splice(i, 0, temp);
                arr[i] = temp;
                arr.splice(i + 1, 1);
                arr.splice(i + 1, 0, index)
                arr[i + 1] = index;
                moved++;
            }
        }
        j++;
        if (moved == 0)
        {
            break;
        }
    }
    document.write("[" + arr + "]");
}

// Driver Code
let arr = [ 2, 1, 4, 3, 6,
            5, 8, 7, 10, 9 ];
let arr1 = [];
for(let i = 0; i < arr.length; i++)
    arr1.push(arr[i]);

// Function call
variationStalinsort(arr1);

// This code is contributed by rag2127

</script>

Output:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]

Time Complexity: O(N²) 
Auxiliary Space: O(N)