Hahaha, way too much time on your hands.
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Every single arrow can go to every other square. So for every square, it can have an arrow pointing to every other square. So every square has 63 possible arrows (you can’t draw an arrow to your own square.) And an arrow from A1 to B1 is different from an arrow from B1 to A1. So 64 squares times 63 arrows = 4032 arrows. 🤯
AKA the average Hikaru game.