Write a program that prompts the user for the number of street blocks they must travel and the number of avenue blocks they must travel, and then calculates how much shorter the crow$$s flight would be$.$

Your program should treat the numbers of blocks as integers, and should report the difference between the $$taxicab distance$$ and the $$crow$$s distance$$ in miles, to two decimal places of precision.

Note that the crow distance will always be less than or equal to the taxicab distance, and that your answer should never be negative. $*$

Use constants for street blocks per mile and avenue blocks per mile.

Your program must have two functions:

taxicab$\_$distance$($streets$,$ avenues$)$ which, given the number of street blocks and number of avenue blocks, returns the taxicab distance. Notice that the inputs here are numbers of blocks and the output is a distance, so you$$ll need to perform a conversion within the function.

crow$\_$distance$($streets$,$ avenues$)$ which, given the number of street blocks and number of avenue blocks, returns the crow distance. Notice that the inputs here are numbers of blocks and the output is a distance, so you$$ll need to perform a conversion and additional computation within the function.

Neither of these functions should prompt the user for input. Neither of these functions should print anything. Call these functions as needed in the body of your program.

Your program does not need to handle negative distances correctly. In fact, it shouldn$$t$.$ So don$$t worry about negative values for street blocks and avenue blocks.

Examples $($each a separate run of your program$)$:

How many street blocks must you travel? $201$

How many avenue blocks must you travel? $71$

The crow's flight is $5\mathrm{.}91$ miles shorter.

How many street blocks must you travel? $9$

How many avenue blocks must you travel? $21$

The crow's flight is $0\mathrm{.}42$ miles shorter.

How many street blocks must you travel? $100$

How many avenue blocks must you travel? $0$

The crow's flight is $0\mathrm{.}00$ miles shorter.

Your output should match the above! Please test before submitting!

Hint: Remember Pythagoras and use math.sqrt$().$ You won$$t need anything else from the math module, just math.sqrt$().$

Tip

Autograder tip: Prompts and output should each be on a single line. Prompt for street blocks first, then avenue blocks. Display result to two decimal places, using an f$-$string with format specifier. The autograder will look for your answer on the line containing the string 'flight', so please follow the examples above as a guide.

Rubric

points objective

$0\mathrm{.}5-$ Docstring at top of file

$2\mathrm{.}0-$ taxicab$\_$distance function

$2\mathrm{.}0-$ crow$\_$distance function

$1\mathrm{.}0-$ Program runs and terminates normally

$3\mathrm{.}0-$ Correct calculations and output

$8\mathrm{.}5$ TOTAL

$*$ This is what is called the triangle inequality. Given lengths of two sides of a triangle,

x

x and

y

y$,$ the length of the remaining side

z

z is subject to the following constraint

z

$<=$

x

$+$

y

z$<=$x$+$y

Note that

z

z only equals

x

$+$

y

x$+$y in the degenerate case where all three points of the $$triangle$$ are collinear.