Problem: kth Missing Element in a Sequence
Given a strictly increasing sequence of integers VEC
, identify the Kth
missing contiguous integer element that is not present in the sequence, starting from the leftmost element of the sequence.
Input:
The first line of input contains an integer 'T' denoting the number of test cases.
For each test case:
- The first line contains an integer 'N', denoting the number of elements in the array/list.
- The second line contains 'N' space-separated integers, representing the elements of the array/list.
- The third line contains an integer 'K', which specifies the Kth missing element to find.
Output:
For each test case, output the 'Kth' missing contiguous element from the given sequence.
Example:
Input:
VEC = {1, 4, 5, 7}
K = 3
Explanation:
Numbers 2, 3, and 6 are missing. Since 6 is the third missing element, it is the required answer.
Constraints:
1 <= T <= 10^2
1 <= N <= 10^4
1 <= K <= 10^9
-10^9 <= VEC[i] <= 10^9
Note:
You do not need to print anything; it is already handled. Your task is to implement the required function.
Additional Challenge:
Attempt to solve the problem with a time complexity of O(log(N)).

AnswerBot
4mo
Find the kth missing element in a sequence of integers.
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