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answer Number of derangements of n distinct items is known as the subfactorial of n, !n

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The uniqueness of an array of integers is defined as the number of distinct elements present. For example, the uniqueness of [1, 5, 2, 1, 3, 5] is 4, element values 1, 2, 3, and 5. For an array arr of n integers, the uniqueness values of its subarrays is