A non-volatile flash memory comprises a plurality of non-volatile memories where a first non-volatile memory is pre-programmed (erased) with all ones, and at least a second non-volatile memory is pre-programmed with a seed value that takes advantage of the reduced programming time for less than six zeros. When writing (programming) a data byte, the memory system looks up the data byte in one or more seed tables to determine a portion of non-volatile memory to which the memory system may write the data byte with a reduced programming time. The memory system then records the location of the data byte in an address translation table so the data byte may be accessed.