Problem:
Score : 300 points

Problem Statement

Given any integer x, Aoki can do the operation below.

Operation: Replace x with the absolute difference of x and K.

You are given the initial value of an integer N. Find the minimum possible value taken by N after Aoki does the operation zero or more times.

Constraints

0 ≤ N ≤ 10^{18}

1 ≤ K ≤ 10^{18}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N K

Output

Print the minimum possible value taken by N after Aoki does the operation zero or more times.

Sample Input 1

7 4

Sample Output 1

1

Initially, N=7.

After one operation, N becomes |7-4| = 3.

After two operations, N becomes |3-4| = 1, which is the minimum value taken by N.

Sample Input 2

2 6

Sample Output 2

2

N=2 after zero operations is the minimum.

Sample Input 3

1000000000000000000 1

Sample Output 3

0

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Runtime Error)

import java.util.Scanner;
public class Main {
    public static void main(String args[]) {
        Scanner s = new Scanner(System.in);
        int x = Integer.parseInt(s.next());
        int k = Integer.parseInt(s.next());
        int temp = 0;
        int min = 0;
        while(true) {
            temp = x;
            x = x - k;
            
            
            if(x<=0) {
                x = Math.abs(x);
                temp = Math.abs(temp);
                if(x<=temp) {
                    System.out.println(String.valueOf(x));
                } else {
                    System.out.println(String.valueOf(temp));
                }
                break;
            }
            
        }
    }
}