In theory, instead of both trading with er, like the automatic marke automated market maker, we could also trade with each other. But even if you're trading some random token, like some some project token for us dollars, and i'm probably buying some other random project token with you as dollar, then what happens in most cases is that it will actually be a two hop trade of project token to eth, and then eth to us. Weare trading different things. Part of our route actually overlaps in kind of the opposite direction. So we can dissect the trade into it components and then still create a coincidence af once and save part of the l p f on one hop of our

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