DIVSUM - Divisor Summation


Given a natural number n (1 <= n <= 500000), please output the summation of all its proper divisors.

Definition: A proper divisor of a natural number is the divisor that is strictly less than the number.

e.g. number 20 has 5 proper divisors: 1, 2, 4, 5, 10, and the divisor summation is: 1 + 2 + 4 + 5 + 10 = 22.

 

Input

An integer stating the number of test cases (equal to about 200000), and that many lines follow, each containing one integer between 1 and 500000 inclusive.

Output

One integer each line: the divisor summation of the integer given respectively.

Example

Sample Input:
3
2
10
20

Sample Output:
1
8
22

Warning: large Input/Output data, be careful with certain languages


hide comments
saurav_2233: 2019-04-15 08:19:39

it was an easy but remember answer of 1 is 0 always.

scolar_fuad: 2019-04-13 09:56:13

AC in one shot use i*i<=num to avoid time isssue in this problem

midoriya: 2019-03-15 15:08:14

TOO easy, time limit should have been less

backtracking: 2018-11-09 06:39:39

i get time limit exceed in python

willis2014: 2018-10-31 17:31:25

1 should be output 0
OMFG I have checked it for hours.

aj_254: 2018-09-24 17:40:51

AC in one go!!!!meow bheow kakkaw raar!!!!

codeinfinity: 2018-08-27 10:19:56

AC in ONE GO !!!

Last edit: 2018-08-27 10:21:16
porrapatcpe20: 2018-08-18 18:30:01

Do you have any test case?

In PHP, I still get wrong answer.

Please see my solution at: https://ideone.com/YjvYWW

Last edit: 2018-08-18 18:33:35
excel_blaze: 2018-05-12 17:41:48

Super easy
waste of time ('_')

atikarizki41: 2018-04-19 06:30:30

why its time limit exceeded?


Added by:Neal Zane
Date:2004-06-10
Time limit:3s
Source limit:5000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:Neal Zane