PUMaC 2024 · 加试 · 第 6 题

PUMaC 2024 — Power Round — Problem 6

When a problem asks you to “find”, “find with proof,” “show,” “prove,” “demon- strate,” or “ascertain” a result, a formal proof is expected, in which you justify each step you take, either by using a method from earlier or by proving that everything you do is correct. When a problem instead uses the word “explain,” an informal expla- nation suffices. When a problem instead uses the word “sketch” or “draw” a clearly marked diagram is expected.

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