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  • https://eng.libretexts.org/Bookshelves/Computer_Science/Databases_and_Data_Structures/Open_Data_Structures_-_An_Introduction_(Morin)/14%3A_External_Memory_Searching/14.02%3A_B-Trees
    To determine the running time in the word-RAM model, we have to account for the cost of calling \(\mathtt{findIt(a,x)}\) for each node we access, so the running time of \(\mathtt{find(x)}\) in the wor...To determine the running time in the word-RAM model, we have to account for the cost of calling \(\mathtt{findIt(a,x)}\) for each node we access, so the running time of \(\mathtt{find(x)}\) in the word-RAM model is The executive summary of the \(\mathtt{add(x)}\) method is that it walks from the root to a leaf searching for \(\mathtt{x}\), adds \(\mathtt{x}\) to this leaf, and then walks back up to the root, splitting any overfull nodes it encounters along the way.

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