Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
Q:1/4=120
M:2/4
K:G
['', 'G/A/B/c/ d2 e2 d>edc B2', 'd2 e d>cBA BAGA B2', 'G3 z z', 'GABc d2 e2 d>edc |1 B2 e2', 'BAGA B2 A2']  
X:1
L:1/8
Q:1/4=120
M:2/4
K:G
"^Unedited Version" |: G/A/B/c/ | d2 e2 | d>edc | B2 e2 | d2 :: e | d>cBA | BAGA | B2 A2 | G3 :| | 
 z z |:"^Suggested Edited Version-C.G.P." GABc | d2 e2 | d>edc |1 B2 e2 :|2 d3 |: e | d>cBA | 
 BAGA | B2 A2 | G3 :|  