Construct a musical piece that integrates the provided motif and corresponds to the indicated musical structure.
X:1
L:1/16
M:2/4
K:F
['A2cA cAcA'  
X:1
L:1/16
M:2/4
K:F
 c2 |"F" f2af"C7" efge |"F" f2c2 c2=Bc |"Bb" dc_BA"F" BAGF |"G7" EFGA"C7" Bcde |"F" f2af"C7" efge | 
"F" f2c2 c2=Bc |"Bb" dc_BA"C7" BAGF |1"C7" EFGE"F" F2 :|2"C7" EFGE"F" F2 z2 |:"F" A2cA cAcA | 
"Bb" B2dB dBdB |"F" A2cA cAcA |"C7" BAGF EFGB |"F" A2cA cAcA |"Bb" B2dB dBdB |"F" Aceg"C7" bgeg |1 
"F" f2a2 f2 z2 :|2"F" f2a2 f2 |]  