Smallest missing element.

 Xander Budnick is a famous you tuber. Currently he is in a mission to visit several

tourist spots and stay distinct number of days in each spot. So while he is visiting a

particular spot, he is a problem to find out the number of days he should stay in that

spot. You are given a sorted non-negative distinct integers, your task is to design an

algorithm that finds the smallest missing non-negative element on it. Your solution

should not takes more than logn instructions in worst case. Consider following

examples for better understanding.

Example:

Input: nums[] = [1, 2, 3, 4, 6, 9, 11, 15]

Output: The smallest missing element is 0


Input: nums[] = [0, 1, 2, 3, 4, 5, 6]

Output: The smallest missing element is 7


Code: 

#include<stdio.h>

int findFirstMissing(int arry[],int start, int end){

if(start>end){

    return end+1;

}

if(start !=arry[start]){

    return start;

}

int mid = (start+end)/2;

if(arry[mid]==mid){

    return findFirstMissing(arry,mid+1,end);

    return findFirstMissing(arry,start,end);


}

}

int main(){

int arr[20];

int n;

printf("enter how many element:");

scanf("%d",&n);

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

    scanf("%d",&arr[i]);

}

printf("the smallst missing element: %d",findFirstMissing(arr,0,n-1));

return 0;

}


Run:



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