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 C (GCC 9.2.1) (judge verdict: Output Limit Exceeded)

#include<stdio.h>
int main(void)
{
  int N,K;
  scanf("%d %d",&N,&K);
  int i,min=N,rmin;
  if(N>K){
    for(i=N/K;i>0;i--){
      min=min-K;
      printf("%d\n",min);
    }
    rmin=min-K;
    if(rmin<0)
      rmin=0-rmin;
    if(rmin<min)
      min=rmin;
    printf("%d",min);
  }
  else
    printf("%d",N);
  return 0;
}