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.

(ii) Merge Sort

### Recurrence Relation:

A recurrence relation is a mathematical expression that defines a sequence of values recursively in terms of previously defined values in the sequence. It is often used to describe the behavior of algorithms and the time complexity of recursive algorithms. The general form of a recurrence relation is:

\[ a_n = _______ _______ ______ ______ _________ _____ _______.
___ ______ ___ _____ ______ __________ ______ ____ _________.
____ _____ ____ _______ _________ ________ _________ ___.
____ ____ ___ _________ ________ __________ _______.
___ ___ _______ _________ _______.
_______ ___ _____ _______ __________ ________ ______ ___ _______ __________ _______.
_____ __________ ______ _____ ________ _____ ____ ______.
___ ______ ________ __________ ______ ______ ________ _______ _____ _____ _________.
_________ ____ _____ __________ ___ ________ _________ ____ __________.
______ _______ _________ _____ _____ ______ __________ ____ ______ ________ ___.
_______ ______ _________ ________ ____ ______ ____ ________ ____ ______ ___.
__________ __________ _____ ________ _______ ______ ______ _______ __________ _______.
___ _____ ______ _______ ________ ________.
__________ ____ ________ __________ ____ _________ __________ _____ ________ _______.
___ _________ _______ _______ _________ _______.
____ ___ _________ ________ ___ _____ ___ _______ ________.
______ ___ ______ _________ __________ ___ _________ _______ __________ ________.
____ _________ ____ ________ _________ ______ __________ _____ __________.
__________ _________ ________ _________ _______ __________ ____ ________ ___.
_________ ________ _____ ___ ________ ______ ________ ______ ___ _____.
________ _____ _____ _________ ____.
___ ___ _______ _______ ________ _______ ____ ___ _____ ____ _____ ___.
_________ ___ ___ _____ _____ _______ _________ _____ ______.
_______ ______ _____ _______ ________ ______.
________ __________ ________ ________ ____.
____ ________ _______ ________ ___ _______ ______ _________ ______.
____ __________ ___ __________ __________ _____ ______ __________ ___.
______ _______ _____ __________ ____ ___ ________ __________ __________ _________.
_____ _______ __________ ______ _____ _______ __________.
_____ ____ ____ ____ _________ ________ ____ __________.
______ _____ _____ __________ ________ ________ ____ _________ ______ ____ ____.
______ _______ __________.
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