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Implement the missing code, denoted by ellipses. You may not modify the pre-existing code.

You've been working on a numerical analysis when something went horribly wrong: your solution returned completely unexpected results. It looks like you apply a wrong function at some point of calculation. This part of the program was implemented by your colleague who didn't follow the PEP standards, so it's extremely difficult to comprehend.

To understand what function is applied to x instead of the one that should have been applied, you decided to go ahead and compare the result with results of all the functions you could come up with. Given the variable x and a list of functions, return a list of values f(x) for each x in functions.

Example

For x = 1 and
functions = ["math.sin", "math.cos", "lambda x: x * 2", "lambda x: x ** 2"],
the output should be
solution(x, functions) = [0.84147, 0.5403, 2, 1].

Input/Output

  • [execution time limit] 4 seconds (py3)

  • [input] float x

    The value to which the functions should be applied. It is guaranteed to have at most 1 digit after the decimal point.

    Guaranteed constraints:
    -1000 ≤ x ≤ 1000.

  • [input] array.string functions

    Array of functions. Each function is given as a string. It is guaranteed that the result of applying function eval to functions[i] produces a valid function for each i. It is also guaranteed that eval(functions[i]) is defined in point x for each i.

    Guaranteed constraints:
    1 ≤ functions.length ≤ 10.

  • [output] array.float

    A list of the same length as functions, where the i^th^ element is the result of applying the i^th^ function to x. Your output will be considered correct if its absolute error does not exceed 10^-5^.


Solution

def solution(x, functions):
    return [eval(f)(x) for f in functions]

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