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1. Given an array A of n integers in the range [0,n 2 −1], describe a simple method for…

1. Given an array A of n integers in the range [0,n 2 −1], describe a simple method for…

1. Given an array A of n integers in the range [0,n2 −1], describe a simple method for sorting A in O(n) time.2. Let S1,S2,…,Sk be k different sequences whose elements have integer keys in the range [0,N −1], for some parameter N ≥ 2. Describe an algorithm that produces k respective sorted sequences in O(n+N) time, where n denotes the sum of the sizes of those sequences.