Predict the output and check your answer by writing and running a program in the Python editor. Type your prediction and include a screenshot of your response for a$,$ b$,$ and c$.$ a$)2**2**3$ b$)2**(2**3)$ c$)(2**2)**3$ Problem $3$: $(3$ pts$)$: a$)$ Create a flowchart and pseudocode that shows the logic for the following. You do not have to write the code, just show the logic of the following with a flowchart and pseudocode. A program that prompts the user to input an integer that represents an amount in cents $($less than $1\mathrm{.}00).$ You can call it pocketChange. The program will then calculate the smallest combination of coins that the user has. For example, $32$ cents is $1$ quarter, $1$ nickel, and $2$ pennies, so: $-$ pocketChange is $\mathrm{.}32.$ Is $\mathrm{.}32>\mathrm{.}25,$ then $1$ quarter and subtract $\mathrm{.}25$ from pocketChange $-$Is pocketChange $($now $\mathrm{.}07>\mathrm{.}10-$Is pocketChange $>\mathrm{.}05,$ then $1$ nickel, and subtract $\mathrm{.}05$ from pocketChange $-$Is pocketChange $($now $\mathrm{.}02>\mathrm{.}01,$ then $1$ penny and subtract $\mathrm{.}01$ from pocketChange. $-$Is pocketChange more than or less than $1$ b$)$ Optional: Write the program$$s code in the Python editor, include the video that demonstrate your code and running of code. $(2$ pts$)$