The number of supergroups and memory requirements for the different CAS and GAS calculations with cumulative constraints are summarized in Table . The CAS (30, 30) space with S z = 0 consists of 2.41 • 10 16 SDs, while the GAS space with disconnected spaces consists of 1.32 • 10 14 SDs which is 0.5 % of the CAS size. The connected GAS spaces contain different supergroups for local and cumulative constraints, and the allowed configurations and Hilbert space sizes differ slightly at the same level of interspace excitations. For example, the supergroup [6, 5, 8, 5, 6] would be allowed by the cumulative constraints given in Equation for single interspace excitations n exc = 1, but is forbidden by the local constraints in Equation . On the other hand, the supergroup [5, 5, 7, 7, 6] and other multiple single excitations from neighbouring fragments would be allowed by local constraints (Equation ) but forbidden by cumulative ones (Equation ).