Return string instead of class in Python [duplicate]

Question

Hi in a recent local programming contest there was a problem in which you had to define a class which takes chain-like parameters and returns their sum e.g. :

>>> Chain(2.5)(2)(2)(2.5) # sum
9
>>> Chain(3)(1.5)(2)(3) # sum
9.5

Best thing that I could write is this code:

class Chain():

    value = 0

    def __new__(self, num):
        self.value += num
        return self

obj = Chain(2)(3)
print(obj.value)

But the return type is a class not an int, furthermore I'm using a static property which is obviously wrong. Would appreciate any helps.

P.S. : Please note that that contest finished on January 7 2022 so I don't think there is any problem with posting this question.