Find missing positive number Algorithm

By   Tewodros   Date Posted: Sep. 23, 2021  Hits: 940   Category:  Algorithm   Total Comment: 0             A+ A-


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Find missing positive number

Given a list of integers we like to find the smallest missing integer number.

Examples:

{1,2,5,8,9,4}    Ans = 3

{ 3, 4, -1, 1 }   Ans = 2

{8,10,7,9,4}   Ans = 1

Solution:

We want to throw all numbers to the hashset

We then iterate from num = 1 and keep checking if the hashset contains num and if it is true, we will keep increment  num by 1 until we no longer find the number in the hashset. When we do, then num will be the answer.

We need to also handle extreme cases like if all elements are negative number, then we just return 1.

 

  public static int FirstMissingPositive(int[] A)    {       

           if (A.Length == 0)

               return 0;

           if (A.Max() <= 0)

               return 1;

           int n = A.Length;

           HashSet<int> hs = new HashSet<int>();

           for (int i = 0; i < n; i++)  {

               if (!hs.Contains(A[i]))

                   hs.Add(A[i]);

           }  

           int num = 1;

           while (hs.Contains(num))   {

               num++;

           }

           return num;

       }

 


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