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PEA 2023Question 25descriptiveHard Under review
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Positive integers k1,…,knk_1,\dots,k_n (not necessarily distinct) with k1+⋯+kn=5n−4,1k1+⋯+1kn=1.k_1+\cdots+k_n=5n-4,\qquad \tfrac{1}{k_1}+\cdots+\tfrac{1}{k_n}=1. Maximum nn?

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Final answer

Option C