AE00 - Rectangles


Byteman has a collection of N squares with side 1. How many different rectangles can he form using these squares?

Two rectangles are considered different if none of them can be rotated and moved to obtain the second one. During rectangle construction, Byteman can neither deform the squares nor put any squares upon any other ones.

Input

The first and only line of the standard input contains one integer N (1 <= N <= 10000).

Output

The first and only line of the standard output should contain a single integer equal to the number of different rectangles that Byteman can form using his squares.

Example

For the input data:

6

the correct result is:

8

Task author: Jakub Radoszewski.


hide comments
coder582: 2020-10-06 11:44:27

I got AC in this problem, I have n*sqrt(n) complexity solution, someone please share hint for a better solution.

naveen1948: 2020-10-04 09:34:08

only idiots write AC in one go
stop spamming that shit

yash9274: 2020-09-22 10:57:14

Hint: think of brute force... something like
1*1 1*2 1*3 1*4...... 1*n
2*2 2*3 2*4...... 2*n/2 and so on
make these once... u'll get it

mahabir10: 2020-09-21 13:30:06

Extremely Easy one

bhargav_sk: 2020-09-17 15:08:59

For all the people who post "AC in one go" - NOBODY CARES, people look in the comments to find if they can get anything helpful, not to see you all bragging. so comment only if you have something useful to share.

saurabh_shinde: 2020-08-12 10:23:43

my first AC in one go !!! Lets go !!!

hblord787: 2020-06-29 08:33:33

an O(1) solution is possible for it .. just try to find that

ashwin0710: 2020-06-10 17:29:23

Easy one, dont think the solution to be too complicated......Can be done in O(n*sqrt(n))

niksd23: 2020-05-31 16:05:15

AC in 2nd time!!!!

wargang: 2020-05-27 09:14:43

AC in one go


Added by:Race with time
Date:2009-05-03
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Algorithmic Engagements 2009