PUMaC 2022 · 个人决赛（A 组） · 第 3 题
PUMaC 2022 — Individual Finals (Division A) — Problem 3
题目详情
- Let n be a positive integer. We call a n -tuple ( a , . . . , a ) of positive integers nice if 1 n • gcd( a , . . . , a ) = 1, and 1 n • a | a + a , for all i = 1 , . . . , n (we define a = a and a = a here). i i − 1 i +1 0 n n +1 1 Find the maximal possible value of the sum a + · · · + a if ( a , . . . , a ) is a nice n -tuple. 1 n 1 n 1
解析
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Original Explanation
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