C#を使用して余分なスペースなしで配列(オランダ国旗)内の0、1、2をソートする方法は?

using System;
namespace ConsoleApplication{
   public class Arrays{
      private void Swap(int[] arr, int pos1, int pos2){
         int temp = arr[pos1];
         arr[pos1] = arr[pos2];
         arr[pos2] = temp;
      }
      public void DutchNationalFlag(int[] arr){
         int low = 0;
         int mid = 0;
         int high = arr.Length - 1;
         while (mid <= high){
            if (arr[mid] == 0){
               Swap(arr, low, mid);
               low++;
               mid++;
            }
            else if (arr[mid] == 2){
               Swap(arr, high, mid);
               high--;
            }
            else{
               mid++;
            }
         }
      }
}
class Program{
   static void Main(string[] args){
         Arrays a = new Arrays();
         int[] arr = { 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1 };
         a.DutchNationalFlag(arr);
         for (int i = 0; i < arr.Length; i++){
            Console.WriteLine(arr[i]);
         }
         Console.ReadLine();
      }
   }
}

0 0 0 0 1 1 1 1 2 2 2