The fractional part function of a positive real number r, denoted as , is defined as: , where , is the 'floor' of r. Thus, , and .
Given a positive integer n, create the function , that evaluates the following summation:
For example for :
Please present the function output rounded-off to nearest integer. Therefore, for , the function should return 3.
HINT: There are efficient algorithms to calculate fractional part of square root.
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