Code has already been provided to define a function named signchangeCounter that accepts an input variable number List. The values in this input are random length vector of random integers between $-100$ and $100.$ Add code to count the number of sign changes encountered as one moves from the first element to the last element of numberList. Consider zero, positive, and negative as three different signs. Assign the result to the ouput variable count with unsigned $16-$bit integer datatype.

For example, if number List $=\left[\begin{array}{cccccccc}3& -2& -30& 21& -7& 0& -8& -4\end{array}\right],$ the result would be count $=5$ with the following five sign changes:

from $3$ to $-2$

from $-30$ to $21$

from $21$ to $-7$

from $-7$ to $0$

from $0$ to $-8$

Note numbersList is defined as an input to the function. Do not overwrite values in this variable in your code. Be sure to assign a value to the function output variable.