Analyze the following problems and write a program for each of them.

a$)$ Input an integer number. If it is greater than $0,$ find its square. Otherwise find its cube.

b$)$ Given a value $x,$ calculate $y$ according to the following formula:

$y=\{\begin{array}{ccc}-x& if& x<mn>0</mn>\\ 0& if& x=0\\ x^2& if& x>0\end{array}$

c$)$ A student fails a course if $\frac{s}{?}$ he takes less than $50$ as overall grade. Given the overall grade of a student, display whether s$/$he passed or failed.

d$)$ A supermarket offers a $5\%$ discount if your bill is more than $100$ YTL$.$ Given the customer's id number and bill, display his$/$her id number with the amount he$/$she has to pay $($including the discount if any$).$

e$)$ Calculate the water bill for a customer where the price of water $/m^3$ is $3$ YTL for domestic users and $2\mathrm{.}5$ YTL for industrial users. Input the user$-$id$,$ consumption $($amount of water used$),$ user code $($D $-$ domestic, I $-$ industrial$),$ and output the user$-$id and the amount to be paid.

f$)$ Given the loudness of a noice in decibels, display a perception message, using the following table:

$\backslash$table$[[$Loudness in Decibels,Perception$],[50$ or lower,quiet$],[51-70,$intrusive$],[71-90,$annoying$],[91-100,$very annoying$],[$above $110,$uncomfortable$]]$

g$)$ Given a temperature in degrees Fahrenheit $($F$),$ convert it into degrees Centigrade $($C$)$ using the formula given in the first problem set, and output the temperature value in degrees Centigrade together with one of the messages:

$\backslash$table$[[$Very Cold,if $C$ is in the range $[-40,0)$