Addition of two sets... How to proceed

Question

Consider the two sets:- {9,87} and {1,2,3,45}. Here I don't mean union but addition which shall produce the output as all possible additions of two element combos such that each element is from a different set.

So the answer I should get is:- {9+1,9+2,9+3,9+45,87+1,87+2,87+3,87+45}

How may I proceed with this type of unique addition of two sets in a continuous space? I tried with two circles and found the expression extremely difficult....

Answer 1

set3 = set()

for item1 in set1:
    for item2 in set2:
        set3.add(item1+item2)

Answer 2

itertools.product can help produce the desired set. member1 is an element from set1, and member2 is an element from set2. itertools.product produces the Cartesian product of the two sets -- specifically, all possible tuples where the first element is a member of set1 and the second element is a member of set2.

import itertools

set1 = {9,87}
set2 = {1,2,3,45}
print({member1 + member2 for member1, member2 in itertools.product(set1, set2)})

Answer 3

You can use set comprehension to achieve this

x = {9,87}
y = {1,2,3,45}
z = {i+j for i in x for j in y}