Introduction to Python

Calculate exp(x)

Implement a function exp(x) that would compute and return the result of exe^x with the following formula:

ex=1+x1!+x22!+x33!+x44!+...+xnn!e^x = 1 + \frac{x}{1!} + \frac{x^2}{2!} + \frac{x^3}{3!} + \frac{x^4}{4!} + ... + \frac{x^n}{n!}

The input contains a single integer x.

The function exp should compute and return the expression up until n = 10 (inclusive).

The program should print the result of exp(x), exp(2x), exp(x/2) (call the function 3 times).

Input

Output

1

2.7182818011463845
7.388994708994708
1.6487212706873655

Constraints

Time limit: 1.6 seconds

Memory limit: 512 MB

Output limit: 1 MB