Consider a simplified time-slotted MAC protocol, where each host always has data to send and transmits with probability  p = 0.3 in every slot. There is no backoff and one frame can be transmitted in one slot. If more than one host transmits in the same slot, then the transmissions are unsuccessful due to collision. The minimum number of hosts this protocol can support if each host has to be provided a minimum throughput of 0.147 frames per slot is _______.