Maurice Tutor

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Expertise:
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Teaching Since: May 2017
Last Sign in: 398 Weeks Ago, 3 Days Ago
Questions Answered: 66690
Tutorials Posted: 66688

Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

Experience

  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 17 Sep 2017 My Price 5.00

sequence of numbers

Rohit is very fond of mathematics. He wishes to create a sequence of numbers. The nth number in the series f (n) denotes the number of occurrences of the number n in the series.
The series has first 2 elements as 1 and 2.

The sequence goes as follows:

_N_ : 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12...

f(N) : 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6 ...

Your aim is to provide the value of the function f (n) most efficiently.

Input

The first line of input consists of a single integer t denoting number of test cases. Each of the next t lines will have an integer value n.

Output

The output should consist of t lines, each line giving the value of function f (n) for the corresponding n.

Example

Input: 3 10 20 100 Output: 5 8 21

Answers

Maurice Tutor
(5)
Status NEW Posted 17 Sep 2017 05:09 AM My Price 5.00

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