1 . 给定素数
,定义集合
.对于
,
,定义
如下:当
时
;当
时
.对于
的一个子集
,定义
.若集合
满足
且对任意
有
则称集合
为好集合.求最大正整数
,使得可以找到
个互不相同的好集合
,
,
,
,满足
.
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2023-12-14更新
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378次组卷
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3卷引用:2023年第39届全国中学生冬令营(CMO)数学试题