class myInt(int):
    def __lt__(self, y):
        if(isinstance(y, int)):
            return int.__lt__(self, y)
        else:
            self.chain = ('addThenDouble', 1)
            return self

    def __add__(self, y):
        if(isinstance(y, int)):
            return int.__add__(self, y)
        else:
            if(self.chain and self.chain == ('addThenDouble', 1)):
                self.chain = ('addThenDouble', 2)
                return self
            else:
                delattr(self, 'chain')
                raise Exception('Invalid Syntax')

    def __gt__(self, y):
        if('chain' in self.__dict__ and self.chain == ('addThenDouble', 2)):
            delattr(self, 'chain')
            return (self + y) * 2
        else:
            return int.__gt__(self, y)


# Goal: Define x <+> y as (x + y) * 2


# Operators work in normal situations
print(myInt(3) < myInt(4), myInt(3) < myInt(3))  # True False
print(myInt(3) + myInt(4), myInt(myInt(4) + myInt(4))) # 7 8
print(myInt(3) > myInt(4), myInt(3) > myInt(3))  # True False

print(((myInt(3) <())+())> 4) # (x + y) * 2 = 14