olymmath

HMMT November 2024 E10

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Let S={1,2,3,…,64}S=\{1,2,3, \ldots, 64\}. Compute the number of ways to partition SS into 16 arithmetic sequences such that each arithmetic sequence has length 4 and common difference 1,4 , or 16 .

Dataset text NuminaMath olympiads. Quoted with source.

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