
Sorting Algorithm

This is a sorting algorithm.   It may be applied to a set of data in order to sort it.    
For comparing various sorts, see compare sorts.  
For other sorting algorithms,   see sorting algorithms,   or:

O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort


Task

Sort an array of positive integers using the Bead Sort Algorithm.

A   bead sort   is also known as a   gravity sort.



Algorithm has   O(S),   where   S   is the sum of the integers in the input set:   Each bead is moved individually.

This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.




 
 
public class BeadSort 
{
	public static void main(String[] args)
	{
		BeadSort now=new BeadSort();
		int[] arr=new int[(int)(Math.random()*11)+5];
		for(int i=0;i<arr.length;i++)
			arr[i]=(int)(Math.random()*10);
		System.out.print("Unsorted: ");
		now.display1D(arr);
 
		int[] sort=now.beadSort(arr);
		System.out.print("Sorted: ");
		now.display1D(sort);
	}
	int[] beadSort(int[] arr)
	{
		int max=a[0];
		for(int i=1;i<arr.length;i++)
			if(arr[i]>max)
				max=arr[i];
 
		//Set up abacus
		char[][] grid=new char[arr.length][max];
		int[] levelcount=new int[max];
		for(int i=0;i<max;i++)
		{
			levelcount[i]=0;
			for(int j=0;j<arr.length;j++)
				grid[j][i]='_';
		}
		/*
		display1D(arr);
		display1D(levelcount);
		display2D(grid);
		*/
 
		//Drop the beads
		for(int i=0;i<arr.length;i++)
		{
			int num=arr[i];
			for(int j=0;num>0;j++)
			{
				grid[levelcount[j]++][j]='*';
				num--;
			}
		}
		System.out.println();
		display2D(grid);
		//Count the beads
		int[] sorted=new int[arr.length];
		for(int i=0;i<arr.length;i++)
		{
			int putt=0;
			for(int j=0;j<max&&grid[arr.length-1-i][j]=='*';j++)
				putt++;
			sorted[i]=putt;
		}
 
		return sorted;
	}
	void display1D(int[] arr)
	{
		for(int i=0;i<arr.length;i++)
			System.out.print(arr[i]+" ");
		System.out.println();
	}
	void display1D(char[] arr)
	{
		for(int i=0;i<arr.length;i++)
			System.out.print(arr[i]+" ");
		System.out.println();
	}
	void display2D(char[][] arr)
	{
		for(int i=0;i<arr.length;i++)
			display1D(arr[i]);
		System.out.println();
	}
}
 