Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/4
M:4/4
K:A
['c A']  
X:1
L:1/4
M:4/4
K:A
"A" A2 A3/2 B/ |"A" c A c e |"A" a2"D" a3/2 g/ |"A" a e"A7" c A |"D" d2 f3/2 d/ |"A" c e c A | 
"Bm7" B2 e3/2 e/ |"E7" e d c B |"A" A2 A3/2 B/ |"A" c A c e |"A" a2"D" a3/2 g/ |"A" a e"A7" c A | 
"D" d2 f3/2 d/ |"A" c e c A |"E7" B2 A3/2 B/ |"A" A4 |]"A" a2"D" a3/2 g/ |"A" a e c A | 
"A" a2"D" a3/2 g/ |"A" a e"A7" c A |"D" d2 f3/2 d/ |"A" c e c A |"Bm7" B2 e3/2 e/ |"E7" e d c B | 
"A" A2 A3/2 B/ |"A" c A c e |"A" a2"D" a3/2 g/ |"A" a e"A7" c A |"D" d2 f3/2 d/ |"A" c e c A | 
"E7" B2 A3/2 B/ |"A" A4 |]  