Let $a$ and $b$ satisfy the conditions \( \begin{cases} a^3 - 6a^2 + 15a = 9 \\ b^3 - 3b^2 + 6b = -1 \end{cases} \). Find the value of \((a - b)^{2014}\).

Let's think step by step and output the final answer within \boxed{}.
user