Ehab and another construction problem

Given an integer x, find 2 integers a and b such that:

• 1 ≤ a,b ≤ x
• b divides a (a is divisible by b).
• a ⋅ b>x.
• a/b<x.

Input

The only line contains the integer x (1 ≤ x ≤ 100).

Output

You should output two integers a and b, satisfying the given conditions, separated by a space. If no pair of integers satisfy the conditions above, print "-1" (without quotes).

Examples

Input

10

Output

6 3

Input

1

Output

-1

inputFormat

Input

The only line contains the integer x (1 ≤ x ≤ 100).

outputFormat

Output

You should output two integers a and b, satisfying the given conditions, separated by a space. If no pair of integers satisfy the conditions above, print "-1" (without quotes).

Examples

Input

10

Output

6 3

Input

1

Output

-1

样例

1

-1

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