Problem Statement

The following function $f(x)$ is given.
$f(x)=x^{a_1}+x^{a_2}+\dots+x^{a_{N-1}}+x^{a_N}$
Given a constant $B$, find the value $f'(B)$ of the derivative of the expression with respect to $x$, and,
writing the indefinite integral of the expression as $F(x)+C={\int}f(x)dx$, the value of $F(B)$.
(Here, $C$ is the constant part, including the constant of integration.)

However, the indefinite integral F in this problem is a function that satisfies $F'=f$ and can be expressed as a linear combination of $\log(x)$ and $x^r(r \ne 0)$.

Note

High school mathematics knowledge is required.

Input

The first line gives the number of $a_i$.
The second line gives the constant $B$.
The third line gives the values of $a_i$.

$N$
$B$
$a_1\ a_2\dots a_{N-1}\ a_N$

$1 \le N \le 10$ (integer)
$1 \le B \le 10$ (integer)
$-5.0 \le a_i \le 5.0$ (real number with one digit after the decimal point)
$(i=1\dots N)$

Output

$X_1$
$X_2$

Output $f'(B)$ as $X_1$ and $F(B)$ as $X_2$.
The inputs are prepared so that the absolute values are neither too large nor too small, so simply output them as they are without hesitation.
A relative error of up to $10^{-4}$ is allowed.
Print a newline at the end.

Sample

4
2
1.0 2.0 3.0 4.0

49.0
15.066666666666666

10
10
-5.0 2.2 4.6 5.0 -1.0 2.0 0.5 0.3 -3.9 1.5

68372.74882983962
238751.0685480203

2
2
0.0 -1.0

-0.25
2.6931471805599454