Chapter $2$ Lab Use Variables, and Arithmetic Operators Instructions: $1.$ Write your programs in Python. $2.$ Include comments in each program; start with your name as the first comment. $3.$ Display all your answers to each problem $($such as flowcharts, pseudocode, and screenshot of your output$)$ in a word document. Make sure each problem and part of the problem is correctly labelled, ie$.$ Problem $1$ Part a$),$ Part b$)$ and Problem $2$ Part a$),$ Part b$).$ Upload this Word file. $4.$ Also, if you wish to write the code, upload the file containing the program$$s code saved as a text file or py file and accompanying video that demonstrates your code being ran in the Python editor. Problem $1(2$ pts$)$: Given the expression $403**2+8/3**2*10$ a$)$ What is the output of the above expression? Check your answer by writing and running a program in the W$3$Schools, Python code editor. Place a screenshot in your Word document with the correct label $($Problem $1,$ Part a$).$ b$)$ Based on precedence and associativity of the arithmetic operators. Correctly parenthesize the expression such that you get the same output as in part $($a$)$ Check your answer by writing and running a program in the Python editor. Type your response in the Word document and label correctly. Problem $2$: $(3$ pts$)$: Predict the output and check your answer by writing and running a program in the Python editor. Type your prediction and include a screenshot of your response for a$,$ b$,$ and c$.$ a$)2**2**3$ b$)2**(2**3)$ c$)(2**2)**3$ Problem $3$: $(3$ pts$)$: a$)$ Create a flowchart and pseudocode that shows the logic for the following. You do not have to write the code, just show the logic of the following with a flowchart and pseudocode. A program that prompts the user to input an integer that represents an amount in cents $($less than $1\mathrm{.}00).$ You can call it pocketChange. The program will then calculate the smallest combination of coins that the user has. For example, $32$ cents is $1$ quarter, $1$ nickel, and $2$ pennies, so: $-$ pocketChange is $\mathrm{.}32.$ Is $\mathrm{.}32>\mathrm{.}25,$ then $1$ quarter and subtract $\mathrm{.}25$ from pocketChange $-$Is pocketChange $($now $\mathrm{.}07>\mathrm{.}10-$Is pocketChange $>\mathrm{.}05,$ then $1$ nickel, and subtract $\mathrm{.}05$ from pocketChange $-$Is pocketChange $($now $\mathrm{.}02>\mathrm{.}01,$ then $1$ penny and subtract $\mathrm{.}01$ from pocketChange. $-$Is pocketChange more than or less than $1$ b$)$ Optional: Write the program$$s code in the Python editor, include the video that demonstrate your code and running of code. $(2$ pts$)$