venn_sums.py

# See diagram: https://i.imgur.com/UWDrqcH.png

from itertools import permutations
for i, perm in enumerate(permutations([1,2,3,4,5,6,7])):
    a, b, c, d, e, f, g = perm
    if (a + d + g + f) / 2 == (b + d + e + g) / 3 == (c + e + f + g) / 4:
        print(f"\n{i}. Solution: a = {a}, b = {b}, c = {c}, d = {d}, e = {e}, f = {f}, x = {(a+d+g+f)/2}")
    else:
        print(f"{i} ", end='')