The diagram shows a parallelogram $$\(C D E F\)$$. $$\(\overrightarrow{F E}=\mathbf{m}\)$$ and $$\(\overrightarrow{C E}=\mathbf{n}\)$$. $$\(B\)$$ is the midpoint of $$\(C D\)$$. $$\(F A=2 A C\)$$ Find an expression, in terms of $$\(\mathbf{m}\)$$ and $$\(\mathbf{n}\)$$, for $$\(\overrightarrow{A B}\)$$. Give your answer in its simplest form. $$\[ \overrightarrow{A B}=.............................. \]$$

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