A Derangement is a permutation of n elements, such that no element appears in its original position. For example, a derangement of (0, 1, 2, 3) is (2, 3, 1, 0). Given a number n, find the total number of Derangements of a set of n elements. Input Specification: input1: N, the number of Objects Output Specification: Return the number of arrangements in which no object occurs at its original position

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