def toBin(integer):
    """
    Convert a decimal integer into a binary"
    :param integer: the integer to be converted
    :type integer int
    :return: int
    """
    return int(str(bin(integer))[2:])


def toDec(binVal):
    """
    Convert a binary value to a decimal value
    :param binVal: The bin value to be converted
    :type binVal: int, str
    :return: int
    """
    return int(str(binVal), 2)


def toBinArray(array):
    """
    Turn an array of decimal into an array of binary
    :param array:
    :return:
    """
    return [toBin(el) for el in array]


def computeS(array):
    """
    Sum all values in an array
    :param array: the array to compute on
    :type array: list
    :return: int
    """
    return sum(array)


def nimSomme(integer):
    """Return an array with 0 if element is even, 1 otherwise"""
    return [int(el) % 2 for el in str(integer)]


def isSafe(array):
    """
    Return True if value computed from the array is zero, False otherwise
    :param array: the array to compute
    :type array: list
    :return: bool
    """
    def list2str(array):
        a = ""
        for el in array:
            a += str(el)
        return a

    binString = list2str([int(el) % 2 for el in list2str(array)])
    return toDec(binString) == 0


array = [3, 5, 7]

binArr = toBinArray(array)
print("Bin Array: ", binArr)

S = computeS(binArr)
print("S: ", S)

nimS = nimSomme(S)
print("Somme de NIM: ", nimS)

safe = isSafe(nimS)
print("Safe: ", safe)