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

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

N K

outputFormat

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

样例

1000000000000000000 1

0