Insert the following n objects, in the order given, into a binary min-heap and place your answer into an array 5, 3, 9, 7, 2, 4, 6, 1, 8 and 5. Answer the following questions regarding Red Black trees: 1. What are the operations that could be performed in O(log n) time complexity by red-black tree? 2. Insert the following sequence in to a red black tree (show each step): 5, 6, 1, 9, 2, 4, 3, 8, 7

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Merge sort

Merge Sort recursively sorts a given collection of numbers or elements by using the divide and conquer strategy in less time. It is one of the most used algorithms, with the worst-case time complexity of O (n log n). It was invented by John Von Neumann. The algorithm continuously divides an array into sub-arrays until each sub-array consists of a single element. It then merges those sub-arrays to produce a sorted array.