Craft a music piece according to the prescribed structure and the input theme.
X:1
L:1/8
M:4/4
K:Gmix
['FDCF DGGE ^FGA^c d2', 'f2 de'  
X:1
L:1/8
M:4/4
K:Gmix
|: DGGE ^FGAF | DGGE FDCF | DGGE ^FGA^c | d2 cA G2 GF | DGGE ^FGAF | G2 GE FDCF | DGGE ^FGA^c | 
 d2 cA AGGe :: f2 de fcAg | f2 de f2 ag | f2 de fcAe | fgfd c2 de | f2 de fcAe | f2 de f3 g | 
 a_bgb fgef | d2 cA AG G2 :|  