a$)$ A desk check is a good way of understanding a program. Complete the following desk check by filling in what value the variables will have after each line is executed. Some of the desk check has been done for you. Make sure you could have produced the same results before you go on$.$

$\backslash$table$[[$line$,$Variables,,,T$/$F$,$output$],[,$prices,price,max,,$],[01,11\mathrm{.}35,11\mathrm{.}15,12\mathrm{.}11,13\mathrm{.}01,10\mathrm{.}99,,,,],[02,,,11\mathrm{.}35,,],[03,,11\mathrm{.}35,,,],[04,,,,$F$,],[03,,11\mathrm{.}15,,,],[04,,,,$F$,],[03,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[06,,,,,]]$

b$)$ Write a program that finds the minimum value in the same list of numbers as the last program.

c$)$ How many times is the if statement false when this program runs.