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[数列] 请教一个数列问题

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snowblink posted 2025-1-26 13:35 |Read mode
已知集合$A=\left \{ x\in \mathbf{N} ^*| 1 \leqslant x \leqslant 2024  \right \} $,设集合$B=\left \{ b_1,b_2,\cdots ,b_n \right \} $满足:$B\subseteq A$,且对任意的$b_i,b_j,b_k\in B\left ( i,j,k\in \left \{ 1,2,3,\cdots,n\ \right \}  \right ) $,均存在$m\in \mathbf{Z}$,使得$b_i+b_j+b_k=33m$,则$n$的最大值为

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