Compose a piece following the given musical structure and incorporating the provided motif.
X:1
L:1/8
Q:1/4=120
M:2/2
K:F
['f2 f2', 'c2 f2 dcBA cfef dcBA'  
X:1
L:1/8
Q:1/4=120
M:2/2
K:F
 AB | c3 d cAFA | B2 d2 d2 f2 | AFAc dfeg | f2 f2 f2 cB | AFAc dBdf | eceg fefg | afef dBGE | 
 F2 F2 F2 :: AB | c2 f2 dcBA | cfef dcBA | [cC]FAF BGAF | GABG FEDC | c2 f2 dcBA | cfef dcBA | 
 fefc dBGE | F2 F2 F2 :|  