def dictDiff(a : dict, b : dict):

    a_keys = set(a.keys())
    b_keys = set(b.keys())

    a_only = a_keys - b_keys
    b_only = b_keys - a_keys
    a_b = a_keys & b_keys

    changed = {k for k in a_b if a[k] != b[k]}

    diffResult = {}

    if a_only:
        diffResult['removed'] = a_only
    if b_only:
        diffResult['added'] = b_only
    if changed:
        diffResult['changed'] = changed

    return diffResult


def setDiff(a : set, b : set) -> set:

    a_only = a - b
    b_only = b - a

    diffResult = {}

    if a_only:
        diffResult['removed'] = a_only
    if b_only:
        diffResult['added'] = b_only

    return diffResult