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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

N,K = map(int,input().split())

t1 = int(N/K)
t2 = t1 + 1
t3 = t1 + 2
t4 = t1 - 1
t5 = t1 - 2
ans1 = abs(N-K*t1)
ans2 = abs(N-K*t2)
ans3 = abs(N-K*t3)
ans4 = abs(N-K*t4)
ans5 = abs(N-K*t5)
print(min([ans1,ans2,ans3,ans4,ans5]))