The new iPad Air with M4 is compatible with the Apple Pencil (USB-C), Apple Pencil Pro, and the Magic Keyboard for iPad Air, all of which can be purchased separately.
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provides a join! macro with some select!-like features. Here's one way it
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For a chosen denominator b, it’s pretty easy to find the value of a that gets us the closest to the target r. We must consider two cases: the largest “low-side” fraction that’s still less than r; and the smallest “high-side” fraction greater than r. If there’s a rational fraction that matches r exactly, that solution is prohibited by the rules of the game; we need to pick one of the nearby values instead.