A path is any sequence of edges that leads from the root to a leaf of a tree. Th

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A path is any sequence of edges that leads from the root to a leaf of a tree. The length of a path is the number of edges it traverses. The questions refer to an optimization. This is a modification to mergesort that does the merge operation only if the last element of the first half of the array is greater than the first element of the second half of the array. Suppose you draw the decision tree for mergesort when applied to an array of 4 elements. What will be the exact length of the longest path in the tree? Assume optimization is not_being used. What will be the exact length of the shortest path in the tree? Assume optimization is not_being used. What will be the exact length of the longest path in the tree? Assume optimization js being used. What will be the exact length of the shortest path in the tree? Assume optimization js being used. Suppose you draw the decision tree for mergesort when applied to an array of 2k elements. What will be the exact length of the l

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Blow are Answers

1.2 (log4)

2. 2 (log2)
3. 4 (log 4)

4.2 (log 4)
5.4 (log2)

6.2 (log2)

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