PUMaC 2025 · 加试 · 第 5 题

PUMaC 2025 — Power Round — Problem 5

On any problem, you may use without proof any result that is stated earlier in the test, as well as any problem from earlier in the test, even if it is a problem that 1 your team has not solved. These are the only results you may use. In particular, to solve a problem, you may not cite the subsequent ones. The problems are graded separately, so you may not cite parts of your proof of other problems. If you wish to use a lemma in multiple problems, please reproduce the statement and proof in each problem.

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