What are the different ways to find missing numbers in a sorted array using C# without any built-in functions?

There are three methods-

• The first method

  use the formula n( n 1)/2 counts the number of elements, which then need to be subtracted from the elements in the array.

• In the second method

  Create a new array, iterate through the entire array, and set the found numbers to false.

• In the third method强>

  use XOR operation. This gives the missing number.

Example

Real-time demonstration

using System;
namespace ConsoleApplication{
   public class Arrays{
      public int MissingNumber1(int[] arr){
         int totalcount = 0;
         for (int i = 0; i < arr.Length; i++){
            totalcount += arr[i];
         }
         int count = (arr.Length * (arr.Length + 1)) / 2;
         return count - totalcount;
      }
      public int MissingNumber2(int[] arr){
         bool[] tempArray = new bool[arr.Length + 1];
         int element = -1;
         for (int i = 0; i < arr.Length; i++){
            int index = arr[i];
            tempArray[index] = true;
         }
         for (int i = 0; i < tempArray.Length; i++){
            if (tempArray[i] == false){
               element = i;
               break;
            }
         }
         return element;
      }
      public int MissingNumber3(int[] arr){
         int result = 1;
         for (int i = 0; i < arr.Length; i++){
            result = result ^ arr[i];
         }
         return result;
      }
   }
   class Program{
      static void Main(string[] args){
         Arrays a = new Arrays();
         int[] arr = { 0, 1, 3, 4, 5 };
         Console.WriteLine(a.MissingNumber1(arr));
         Console.WriteLine(a.MissingNumber2(arr));
         Console.WriteLine(a.MissingNumber3(arr));
         Console.ReadLine();
      }
   }
}

Output

2
2
2

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