Required Functions

You are required to write and use the following three functions in your submission:

$$ def populateSquare$($size$)$: this function takes an integer representing the

size of the square, asks the user to enter the integer values to populate the square

and it returns the square. To simulate the square, we will use a list of lists: this is a

list in which each element is another list. Each value entered by the user can only

appear one single time in the square $($so$,$ no repeated values$)$

$$ def printSquare$($square$)$: this function takes the filled square $($so the list

of lists$)$ and displays it into the screen, one row per line. This function does not

return anything.

$$ def isMagicSquare$($square$)$: this function takes the filled square $($so the list

of lists$)$ and returns a Boolean that indicates whether or not the square is magic

square as per the rules explained above.

Note: while solving this problem, you may find the need to create one or more helper

functions $($for example to validate user input$).$ That is fine and you can add those

functions to your program.

Program Examples

Example $1($user$$s input is shown in red$)$:

Welcome to the Magic Square Game

Enter the size of your square $($between $3$ and $9)$: $3$

Row $1$

Enter a value for the square: $4$

Enter a value for the square: $9$

Enter a value for the square: $2$

Row $2$

Enter a value for the square: $3$

Enter a value for the square: $5$

Enter a value for the square: $7$

Row $3$

Enter a value for the square: $8$

Enter a value for the square: $1$

Enter a value for the square: $6$

Here is your square:

$492$

$357$

$816$

This is a magic square!!

Example $2($user$$s input is shown in red$)$:

Welcome to the Magic Square Game

Enter the size of your square $($between $3$ and $9)$: $3$

Row $1$

Enter a value for the square: $1$

Enter a value for the square: $2$

Enter a value for the square: $3$

Row $2$

Enter a value for the square: $4$

Enter a value for the square: $5$

Enter a value for the square: $6$

Row $3$

Enter a value for the square: $7$

Enter a value for the square: $8$

Enter a value for the square: $9$

Here is your square:

$123$

$456$

$789$

This is not a magic square.

Example $3($user$$s input is shown in red$)$:

Welcome to the Magic Square Game

Enter the size of your square $($between $3$ and $9)$: $4$

Row $1$

Enter a value for the square: $16$

Enter a value for the square: $3$

Enter a value for the square: $2$

Enter a value for the square: $13$

Row $2$

Enter a value for the square: $5$

Enter a value for the square: $10$

Enter a value for the square: $11$

Enter a value for the square: $8$

Row $3$

Enter a value for the square: $9$

Enter a value for the square: $6$

Enter a value for the square: $7$

Enter a value for the square: $12$

Row $4$

Enter a value for the square: $4$

Enter a value for the square: $15$

Enter a value for the square: $14$

Enter a value for the square: $1$

Here is your square:

$163213$

$510118$

$96712$

$415141$

This is a magic square!!

Example $4($user$$s input is shown in red$)$:

Welcome to the Magic Square Game

Enter the size of your square $($between $3$ and $9)$: $2$

Value out of bounds. Please try again.

Enter the size of your square $($between $3$ and $9)$: $10$

Value out of bounds. Please try again.

Enter the size of your square $($between $3$ and $9)$: abc

Invalid input. Please try again.

Enter the size of your square $($between $3$ and $9)$: $3$

Row $1$

Enter a value for the square: $1$

Enter a value for the square: $1$

Error: this value already exists in the square. Enter a different

value.

Enter a value for the square: $1$

Error: this value already exists in the square. Enter a different

value.

Enter a value for the square: $0$

Value out of bounds. Please try again.

Enter a value for the square: $10$

Value out of bounds. Please try again.

Enter a value for the square: xyz

Invalid input. Please try again.

Enter a value for the square: $5$

Enter a value for the square: $9$

Row $2$

Enter a value for the square: $8$

Enter a value for the square: $3$

Enter a value for the square: $4$

Row $3$

Enter a value for the square: $6$

Enter a value for the square: $7$

Enter a value for the square: $2$

Here is your square:

$159$

$834$

$672$

This is not a magic square.

Example $5($user$$s input is shown in red$)$:

Welcome to the Magic Square Game

Enter the size of your square $($between $3$ and $9)$: $3$

Row $1$

Enter a value for the square: $1$

Enter a value for the square: $2$

Enter a value for the square: $3$

Row $2$

Enter a value for the square: $1$

Error: this value already exists in the square. Enter a different

value.

Enter a value for the square: $2$

Error: this value already exists in the square. Enter a different

value.

Enter a value for the square: $4$

Enter a value for the square: $4$

Error: this value already exists in the square. Enter a different

value.

Enter a value for the square: $5$

Enter a value for the square: $6$

Row $3$

Enter a value for the square: $4$

Error: this value already exists in the square. Enter a different

value.

Enter a value for the square: $7$

Enter a value for