Problem:
Score : 500 points

Problem Statement

Snuke received a positive integer N from Takahashi.
A positive integer m is called a favorite number when the following condition is satisfied:

The quotient and remainder of N divided by m are equal, that is, \lfloor \frac{N}{m} \rfloor = N \bmod m holds.

Find all favorite numbers and print the sum of those.

Constraints

All values in input are integers.

1 \leq N \leq 10^{12}

Input

Input is given from Standard Input in the following format:

N

Output

Print the answer.

Sample Input 1

8

Sample Output 1

10

There are two favorite numbers: 3 and 7. Print the sum of these, 10.

Sample Input 2

1000000000000

Sample Output 2

2499686339916

Watch out for overflow.

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
	long n=sc.nextLong();

	//n=xm+x=x(m+1)	m>x
	//1を足すとnの約数になる数字を出す
	//nの約数を列挙して合計して約数の個数を引く
	//x...xの時、x^2+2x以上
	long ans=0;


	for(long i=1;i<=Math.floor(Math.sqrt(n))-1;i++){
if(n%i==0){
	System.out.println(i);
	ans+=((n/i)-1);
	//System.out.println((n/i)+"\t"+n/i);


}
	}

System.out.println(ans);
	}}