Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:2/2
K:A
['', '(3efe ^de =de c2 (3BcB AB GB', 'c(3eac e ba', 'eg be b4 (3egb e ag a2']  
X:1
L:1/8
M:2/2
K:A
 cd |: (3efe ^de =de c2 | (3BcB AB GB F2 | EFGA Bcde | fe^de c2 c=d | (3efe ^de =de c2 | 
 (3BcB AB GB F2 | EFGA Bcde |1 (3gfe (3dcB A2 cd :|2 (3gfe (3dcB A2 || ea |: ce c(3eac | 
 e ba b2 eg | be b4 (3egb | e ag a2 ea | ce c(3eac | e ba b2 ea | gagf (3efe (3dcB |1 
 AcBG A2 ea :|2 AcBG A2 ||  