Draw structures corresponding to the following systematic names:
(a) (4E)-2,4-Dimethyl-1,4-hexadiene (b) cis-3,3-Dimethyl-4-propyl-1,5-octadiene
(c) 4-Methyl-1,2-pentadiene (d) (3E,5Z)-2,6-Dimethyl-1,3,5,7-octatetraene
(e) 3-Butyl-2-heptene (f) trans-2,2,5,5-Tetramethyl-3-hexene