p02719 AtCoder Beginner Contest 161 - Replacing Integer
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.

Examples

Input

7 4


Output

1


Input

2 6


Output

2


Input

1000000000000000000 1


Output

0
```python
n,k= map(int,input().split())

a=n%k
b=abs(k-a)
print(min(a,b))
```