2. Bob and Permutations Bob is fascinated by permutations, so he reached out to Alice and Yoda to find a good question on permutation of [1, 2, 3, ..., n]. Let A1, A2. ., An denote Bob's permutation. Alice and Yoda gave the following condition which should be satisfied such that there exists an i between 2 and n-1 (both inclusive): • Aj > Aj+1 V isjsn-1. • Aj > Aj-1 V 2 sjsi. means "for all" Help Bob in finding out the number of permutations that satisfy conditions given by Alice and Yoda. Input You will be given 1 integern You need to complete the function where the above integer will be given as an argument. Output Return the number of permutations modulo 10+7 Constraints 1sns 10° Sample Case Input:

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