Write a program that reads a number x and a polynomial p(z) = c0 z0 + c1 z1 + ⋯ + cn zn, and computes p(x).
Input
Input consists of a real number x followed by the description of the polynomial p(z): the real coefficients c0, c1, …, cn in this order. (The first sample input/output corresponds to the evaluation of p(z) = 3 + 4z + 5z2 at x = 2.)
Output
Print p(x) with 4 digits after the decimal point.
Input
2 3 4 5
Output
31.0000
Input
3 0 0 10
Output
90.0000
Input
-2.5 1 -2 0 5.4
Output
-78.3750