Recent investigations have shown that multi-user gain can be enabled in frequency-flat time-invariant single-antenna cellular networks, for example the interfering multiple access channel (IMAC). These investigations have shown gain beyond results through treating interference as noise (TIN) techniques in the weak interference regime, rendering TIN sub-optimal for these networks. However, it was shown previously that multi-user gain for the multiple access channel interfering with a point-to-point link (MAC-P2P) is limited to the regime equation, with a relapse of the rate to IC level above this regime. Previous results for the IMAC were limited to the very weak interference regime α ≤ 1 over 2. The question is if multi-user gain of the deterministic IMAC is also limited to this regime. We answer this question with no and show the sum-capacity approximated by the lower triangular deterministic model for the IMAC and that there is significant multi-user gain for α ≥ 2 over 3. We therefore explore the GDoF of the deterministic IMAC for the whole interference range.