In an unexpected twist, I run out of U.S. dollars and Nikki runs out of New Zealand dollars. But I discover that I have a giant supply of identical Israeli Shekel notes, each of which is worth k USD. And Nikki discovers that she has a giant supply of identical Thai Baht notes, each of which is worth ℓ USD. (Assume k and ℓ are integers.) What amounts can she pay me now? Again, prove your answer.
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