Absolute difference

Amin can decrease the number $x$ by $k$ units in one operation. If the result turns out to be negative, he will write down the absolute value of the result in $x$. In other words, the operation takes the form: $x=|x-k|$.

Hussein named the number $x$ to Amin as the initial one. Determine the smallest value that can be obtained from it by repeating the above operation any number of times.

This is a very difficult task for Amin. Calculate the answer for him.

Input

Two integers $x(0\le x\le 10^{18})$ and $k(1\le k\le 10^{18})$.

Output

Output the smallest value that can be obtained from $x$.

Examples

In the first test, $x=11$. After performing one operation, we get $x=|11-4|=7$.

After two operations, $x=|7-4|=3$.

After three operations, $x=|3-4|=1$, which is the smallest value that $x$ can take.

In the second test, $x=2$. It is also the smallest value that $x$ can take.