Notice how the highlighted region shrinks at each step. The algorithm never examines points outside the narrowing window. In a balanced tree with nnn points, this takes about log4(n)\log_4(n)log4(n) steps. For a million points, that's roughly 10 steps instead of a million comparisons.
There is nothing in the UI that emphasizes that these backups are now tightly coupled to their passkey. Even if there were explanatory text, Erika, like most users, doesn’t typically read through every dialog box, and they certainly can’t be expected to remember this technical detail a year from now.
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