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If We Have a Heap with N Elements, and We

question 93

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If we have a heap with n elements, and we add another n elements to it, what is the maximum increase of height associated with the binary tree representation of the heap?


Definitions:

Normally Distributed Curve

A graphical representation of a distribution of data in which most values cluster around a central peak and taper off symmetrically towards either end, resembling a bell shape.

Standard Deviation

Standard deviation is a statistical measure that quantifies the amount of variation or dispersion of a set of data values from the mean.

Stanine

A method of scaling test scores on a nine-point standard scale, where a higher stanine score indicates better performance.

Cognitive Ability Test (CogAT)

A standardized test designed to measure students' reasoning abilities in the areas of verbal, quantitative, and non-verbal (or spatial) reasoning.

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