Python Challenge - Stairmaster

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This one has me stuck. I have a working solution, but it is so inefficient that Codecademy can’t even run it. Running stairmaster(8) takes a few seconds on my desktop computer. I am currently finding the permutations of steps that lead to the top and then getting rid of the duplicates. Finding the permutations is easy and fast, since you can do that with a generator. However, the ridiculous amount of time comes when you have to reduce all of the permutations to the unique permutations. I’ve done this in a few ways, and none of them are efficient.

I might be tunnel-visioning on the approach I’ve started with, so would appreciate any insights from those more experienced than myself.


On a lot of these challenges, you have to find permutations, and thats had me stuck for a while so I kinda cheated by using itertools. it gives you all the combinations but won’t give repititions like 3,1 and 1,3. thats what the bottom bit is for. This probably didn’t help with you’re method but thought id share anyway!

import itertools def stairmaster(n): ans = 0 all_permutations = [] add_to_4 = [] list_to_3 = [1,2,3] for num in range(1,n+1): all_permutations.append((itertools.combinations_with_replacement(list_to_3,num))) for num in all_permutations: for permutation in num : if sum(permutation) == n: add_to_4.append(permutation) for permutation in add_to_4: alist = [] count = -1 for value in permutation: if not value in alist: count+=1 alist.append(value) ans+= len(permutation) ** (count) return ans print(stairmaster(10))

I’m pretty sure of the math and code so I’m not sure why I’ve failed some tests.