From the code you posted, there is no function call to vendingMachine()
Try at the top of your code:
print ("hello")
vendingMachine()
def vendingMachine():
...
Answer:
O(N!), O(2N), O(N2), O(N), O(logN)
Explanation:
N! grows faster than any exponential functions, leave alone polynomials and logarithm. so O( N! ) would be slowest.
2^N would be bigger than N². Any exponential functions are slower than polynomial. So O( 2^N ) is next slowest.
Rest of them should be easier.
N² is slower than N and N is slower than logN as you can check in a graphing calculator.
NOTE: It is just nitpick but big-Oh is not necessary about speed / running time ( many programmers treat it like that anyway ) but rather how the time taken for an algorithm increase as the size of the input increases. Subtle difference.
The clearer the resolution screen is it is better seen through the graphics. Say you have a bad computer screen, well your graphics are going to be bad. The better and higher quality it is will be the better you can see your images.