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: Accepted)

import java.io.*;
import java.util.*;
import java.lang.*;

public class Main {
	int mod=1000000007;
	
	public static void main(String[] args) {
		FastScanner sc = new FastScanner();
		out = new PrintWriter(new BufferedOutputStream(System.out));
		long n=sc.nextLong();
		long k=sc.nextLong();
		out.println(Math.min(n%k,k-n%k));
		out.close();
		
		
	}
	
	
	
	
//----------------------------------------------------------
	static int l_min(int[] a) {
		Arrays.sort(a);
		return a[0];
	}
	static int l_max(int[] a) {
		int l=a.length;
		Arrays.sort(a);
		return a[l-1];
	}
	static int gcd(int a,int b) {
		if(a==0) {
			return b;
		}
		return gcd(b%a,a);
	
	}
	
	public static PrintWriter out;
	
}


class UnionFind{
	int parent[];
	int rank[];
	int size[];
	UnionFind(int n) {
		parent=new int[n];
		rank=new int[n];
		size=new int[n];
		for(int i=0;i<n;i++) {
			parent[i]=i;
			rank[i]=0;
			size[i]=1;
		}
	}
	
	void union(int x,int y) {
		int xRoot=find(x);
		int yRoot=find(y);


		if(xRoot!=yRoot) {
			
			if(rank[xRoot]>rank[yRoot]) {
				parent[yRoot]=xRoot;
				size[xRoot]+=size[yRoot];
				
			}else if(rank[xRoot]<rank[yRoot]){
				parent[xRoot]=yRoot;
				size[yRoot]+=size[xRoot];
				
			}else {
				parent[yRoot]=xRoot;
				rank[xRoot]++;
				size[xRoot]+=size[yRoot];
			}
		}
		
	}
	
	int find(int x) {
		if(parent[x]==x) {
			return x;
		}else {
			return find(parent[x]);
		}
		
	}
	
	boolean same(int x,int y) {
		return find(x)==find(y);
	}
	
	
	
}





class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
        return (int) nl;
    }
    public double nextDouble() { return Double.parseDouble(next());}
}