In mathematics, there is a very special constant that can help with calculating exponents. The constant ~e~, which is approximately ~2.71828182845904523536~ can calculate ~x^y~ using the formula ~e^{y * log(x)}~. Using the following Java methods, use ~e~ to calculate an exponent, then use Math.pow to calculate it again.

Math.exp(double) // Raises the constant e to the power of the given double.
Math.log(double) // Gives the natural logarithm of the given double.

Input

The first line of input contains ~x~ ~(1 \le x \le 100)~.
The next line of input contains ~y~ ~(1 \le y \le 100)~.

Output

On the first line, output the calculated value of ~x^y~ using the formula ~e^{y * log(x)}~.
On the next line, output the value of ~x^y~ using the Math.pow method.

Sample Input

7
5

Sample Output

16806.99999999998
16807.0