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;
#define rep(i,n)  for(int i = 0; i < n; i++)
#define all(cont) cont.begin(), cont.end()
#define unique(a)  sort(all(a)) , (a).erase(unique((a).begin(), (a).end()),(a).end())
#define rall(cont) cont.rbegin(), cont.rend()
#define sz(x) (int)(x).size()
#define fastio          ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0)
#define PB push_back
#define endl "\n"
#define F first
#define S second
#define mod 1000000007
const int N = 2e5 + 5;
#define PI acos(-1.0)
typedef long long ll;
#define int long long
typedef long double ld;
typedef vector<int> VI;
#define pqll_max priority_queue<ll> // max heap. push(),pop(),top(),size(),empty()
#define pqll_min priority_queue<ll,vector<ll>,greater<ll> >
#define lb(v,val)   lower_bound(v.begin(),v.end(),val) //first equal to or lower than [------------
#define ub(v,val)   upper_bound(v.begin(),v.end(),val) //first greater than ------------)
#define bs(v,x) binary_search(v.begin(),v.end(),x)
inline ll add(ll x, ll y) { x += y; if (x >= mod) x -= mod; return x; }
inline ll sub(ll a, ll b) { if (a < b)swap(a, b); return (((a%mod) - (b%mod) + mod) % mod); }
inline ll mul(ll x, ll y) { return (x%mod * 1ll * y%mod) % mod; }
inline ll pwr(ll a, ll b) { ll x = 1 % mod; while (b) { if (b & 1) x = mul(x, a); a = mul(a, a); b >>= 1; }return x % mod; }
inline ll inv(ll a) { return pwr(a, mod - 2) % mod; }
ll gcd(ll a, ll b) { if (!a)return b % mod; return gcd(b%a, a) % mod; }
#define debug(x) cout << #x << " = " << x << endl;
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1) {
	cout << name << " : " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args) {
	const char* comma = strchr(names + 1, ','); cout.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...);
}
#define in(container) for (auto &it : container) cin>>it;
#define out(container) for (auto it : container) cout << it << " "; cout << endl;
signed main()
{
	fastio;
	int n, k;
	cin >> n >> k;
	cout << min({ n,n%k,abs(n%k - k) }) << endl;


}