# Subject I. 

For any natural number $\mathrm{n}$, find the remainder of the division of the number $\mathrm{A}=5^{\mathrm{n}+4} \cdot 3^{\mathrm{n}+1}+5^{\mathrm{n}+1} \cdot 3^{\mathrm{n}+3}+3 \cdot 15^{\mathrm{n}}$ by 2013.