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
pavan_37: 2021-06-30 10:47:25

AC in one go....

aryankk: 2021-05-28 11:33:52

hint: just find the factors of n and see that they don't repeat

yoddha_99: 2021-02-10 13:47:34

I'm still a faggot.

Last edit: 2021-02-10 15:15:11
jinks: 2020-12-31 10:05:17

Learned Something from this question, good question!

sivan_353: 2020-11-11 06:06:33

i did the program with simple if else but its showing time limit exceeded. why????

sivan_353: 2020-11-08 16:44:34

.I don't even understand the question

yuvrajsharma: 2020-10-06 19:32:50

this can also be done in O(sqrt(n))

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


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