Define a class counterType to implement a counter. Your class must have a private data member counter of type int and functions to set counter to the value specified by the user, initialize counter to 0, retrieve the value of counter, and increment and decrement counter by one. The value of counter must be nonnegative.

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.