The compound reverted gear train below is to be designed as a speed increaser to provide a total increase speed exactly 45 to 1. With a normal pressure angle of 20°, specify the appropriate numbers of teeth to minimize the gearbox size while avoiding interference of the teeth. The gears have a helix angle of 30° and full-depth teeth. Assume a constant diametral pitch in both stages. If possible, try to ensure that the input and output shafts are aligned.