Lab$11$A: All math, all the time Lab$11$B: Show me where it is

Write a method called letterPositions$()$ which takes in two strings and returns a tuple. The first string

can be a phrase of any length while the second one will always be a single character. The tuple that the

method returns must contain the index of all occurrences of the second string inside the first string. Be

sure to not discriminate between upper and lower case $($i$.$e$.$: a and A should be the same character$).$ If

the resulting output is an empty tuple, simply return the empty tuple.

Outside the method, prompt the user for a phrase, a letter, and then print out the resulting tuple as per

the sample outputs.

Note: You can assume both inputs are always strings, and that the second input is always a single

character.

Sample outputs $($user input in bold$)$:

Enter your phrase: bAnAna

Enter a letter: a

a appears inside your phrase in the following positions: $(1,3,5)$

Enter your phrase: The only thing we have to fear is fear itself!

Enter a letter: $f$

$f$ appears inside your phrase in the following positions: $(26,34,44)$

Enter your phrase: What? $9000?$ There's no way that can be right!

Enter a letter: $Z$

$z$ appears inside your phrase in the following positions: $0$

Write a method allMath$()$ which takes in two numbers as inputs and returns a tuple containing the result

of each arithmetic operation between both numbers in the following order: addition, subtraction,

multiplication, division, floor division, modulus, power. If one of the operations requires a division by $0,$

replace its result with "None". For example:

allMath$(2,3)$ would return the tuple $(5,-1,6,0\mathrm{.}6666666666666666,0,2,8$

allMath $(1,8)$ would return the tuple $(9,-7,8,0\mathrm{.}125,0,1,1)$

allMath $(6,0)$ would return the tuple $,$ None, None, None, $1)$

allMath$(7,8)$ would return the tuple $(15,-1,56,0\mathrm{.}875,0,7,5764801)$

Outside the method, prompt the user for two numbers, pass those two numbers to allMath, and then

print out the result, as the sample outputs below show.

Note: You can assume both inputs are valid numbers $($i$.$e$.$ you don't need to check if the inputs are

numbers$)$

Hint: Remember that, while tuples are immutable, you can concatenate two tuples, much like you

would two strings.

Sample outputs $($user input in bold$)$:

Enter your first number: $5$

Enter your second number: $4$

Your resulting tuple is $(9,1,20,1\mathrm{.}25,1,1,625)$

Enter your first number: $8$

Enter your second number: $0$

Your resulting tuple is $,$ None, None, None, $1$