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Finding clothes on a chair isn’t constant-time. You have to search through the heap of clothes to find the item you want. It has the same time complexity as searching through the closet; it’s only fast because n is small.
It takes 2 pause cycles, that’s essentially O(1) compared to a cache miss.
You could implement in-closet indexing instead to make the cache misses hurt less, trading off some extra insertion time but needing less memory for the cache which is much more expensive cost wise. At this point you’re storing almost your whole DB in the cache and your room’s a mess.
I’ve been subscribed to this subreddit for years and so much shit is way over my head lol
O(k) time to be pedantic, where k is the number of layers.