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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef vector<ll> vl;
typedef pair<ll, ll> PP;
#define rep(i, n) for(ll i = 0; i < ll(n); i++)
#define all(v) v.begin(), v.end()
bool chmin(ll & a, ll  b) { if (b < a) { a = b; return 1; } return 0; }
bool chmax(ll & a, ll b) { if (b > a) { a = b; return 1; } return 0; }
const ll INF = 999999999999999;
const ll MOD = 1000000007;
const ll MAX_N=500010;
ll a, b, c, d, e, f, p, t, x, y, z, q, m, n, r, h, k, w, l, ans;
int main() { cin >> n >> k;
    a = n % k;
    cout << min(a, k - a) << endl;
}