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.
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Compared to the third-gen Polaroid Now Plus, my former retro pick, the Flip delivers clearer shots with fewer wasted photos, making the extra $50 worthwhile given that eight I-Type sheets are a spendy $18.99. The increased clarity can be attributed to several factors, including the Flip’s sonar autofocus and a four-lens hyperfocal system — which result in sharper, more focused images — along with its excellent flash. It’s the most powerful of any Polaroid camera, and while it can sometimes overexpose images, you can adjust exposure directly from the camera or app. The Scene Analysis feature also helps by warning if a shot is likely to be over- or underexposed, or if you’re too close to your subject. In my experience, the warnings didn’t always prevent overexposure, but they did leave me with shots that looked less blown than those from the Now Plus.