How can I find whether each element in a list can be added based on the given values or not?

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Python3.6

So I have a function findsum(s,g) and I want to find whether elements in

s:list

can be the sum of any numbers in

g: list

or not... so for instance, if

s = [0,2,3,4,5]

,

g = [1,2,3]

,
the output should return

[False, True, True, True, True]

...
Explaination:
So 0 is false because nothing in g equals to or adds up to 0
2 is true because g contains a 2
3 is true because 2 and 1 in g adds up to 3
4 is true because if we add 2 to itself, 4 is the result
5 is also true because if we add 2 and 3 from g, we get 5

What I have tried:

def findsum(s,g):
    for f in g:
        for x in s:
           if sum (x) == f:
              return True
           else:
              return False