The Dirtcheap Software Company is planning to produce an assembler for a computer with a 48-bit word. To keep costs down, the project manager, Dr. Scrooge, has decided to limit the length of allowed symbols so that each symbol can be stored in a single word. Scrooge has declared that symbols may consist only of letters, except the letter Q, which is forbidden (to demonstrate their concern for efficiency to the customers). What is the maximum length of a symbol? Describe your encoding scheme.