Given a positive integer \(n\), compute its square root and cube root.

Input

One integer \(n\).

The input satisfies:

• \(1 <= n <= 10^9\)

Output

Print \(\sqrt n\) with two digits after the decimal point, then \(\sqrt[3]n\) with three digits after the decimal point.

Example

Input

65

Output

8.06
4.021