Question: Consider the Unique algorithm below, which takes an input array data of length n and returns all of the elements that appear in data, with

Consider the Unique algorithm below, which takes an input array data

Consider the Unique algorithm below, which takes an input array data of length n and returns all of the elements that appear in data, with duplicates removed. Input: data: array of character Input: n: length of data Output: array containing every element of data, with duplicates removed 1 Algorithm: Unique 2 dict= Dictionary(data) a prev - dict.Min() 4 next-prev .Successor(prev 5 unq= {prev 6 While next * NIL do 7 | If next prev then 8 9end 10 | prev= next 11 | next-dict.Successoripreu) 12 end 13 return unq Add nert to unq Answer the following questions about Unique: 1. What is the worst-case time complexity for Unique when implementing dict as a balanced BST? Show your work 2. What is the worst-case time complexity for Unique when implementing dict as a sorted array? Show your work 3. Compare and contrast these two implementations, and indicate which you wouldd recommend

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