
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Define the determinant operation $$\begin{vmatrix} \left.\begin{matrix}a_{1} & a_{2} \\ b_{1} & b_{2}\end{matrix}\right.\end{vmatrix}$$ as $a_{1}b_{2} - a_{2}b_{1}$, and let the function $f(x) = $$\begin{vmatrix} \left.\begin{matrix}\sqrt {3} & \sin 2x \\ 1 & \cos 2x\end{matrix}\right.\end{vmatrix}$$. If the graph of this function is translated to the left by $t$ ($t > 0$) units, and the resulting graph corresponds to an odd function, then the minimum value of $t$ is \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
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