Find the value of t that minimises the coefficient of N lg N in the compare count when a t-ary heap is used in heapsort, keeping in mind only the cost of compares and assuming that it takes t compares to find the largest of t items. Assume sink() can be generalised simply first, and then assume Floyd's method can spare one compare in the inner loop.

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Heap Sort

A Heap is a type of data structure that is built on trees. It's a binary tree that's virtually complete. Except for the very bottom level, all levels of the tree must be filled in a heap. The last (bottom) level should be filled from left to right. The heap data structure is used for the efficient implementation of priority queues.Heap can be of two types: