Define a recurrence relation. Describe the following problems with the help of examples which can be solved through Divide and Conquer technique and Show its recurrence relation.
(i) Binary Search
(ii) Merge Sort
Solve these recurrence relations with a substitution method

A recurrence relation is a mathematical equation that recursively defines a sequence of values or functions. In simpler terms, it's an equation that expresses the value of a function in terms of its previous values. Recurrence relations are often used in various fields of mathematics and computer science to model processes that can be broken down into smaller, similar subproblems.

Now, let's delve into two classic examples of problems that can be solved using the Divide and Conquer technique: Binary Search and Merge Sort.

(i) Binary Search:

Binary Search is an efficient algorithm for finding a target value within a sorted array. The algorithm works by repeatedly dividing the search interval in half until ____ ____ ___ ________ ____.
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