Two Integers

You are given positive integers X and Y. If there exists a positive integer not greater than 10^{18} that is a multiple of X but not a multiple of Y, choose one such integer and print it. If it does not exist, print -1.

Constraints

• 1 ≤ X,Y ≤ 10^9
• X and Y are integers.

Input

Input is given from Standard Input in the following format:

X Y

Output

Print a positive integer not greater than 10^{18} that is a multiple of X but not a multiple of Y, or print -1 if it does not exist.

Examples

Input

8 6

Output

16

Input

3 3

Output

-1

inputFormat

Input

Input is given from Standard Input in the following format:

X Y

outputFormat

Output

Print a positive integer not greater than 10^{18} that is a multiple of X but not a multiple of Y, or print -1 if it does not exist.

Examples

Input

8 6

Output

16

Input

3 3

Output

-1

样例

3 3

-1