
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: $$\begin{vmatrix} a_{1} & a_{2} \\ a_{3} & a_{4} \end{vmatrix} = a_{1}a_{4} - a_{2}a_{3}.$$ If the graph of the function $f(x) = \begin{vmatrix} \sin x & \cos x \\ 1 & \sqrt{3} \end{vmatrix}$ is translated to the right by $\varphi$ ($\varphi > 0$) units, and the resulting graph corresponds to an odd function, then the minimum value of $\varphi$ is (　　)
A) $\frac{\pi}{6}$
B) $\frac{\pi}{3}$
C) $\frac{2\pi}{3}$
D) $\frac{5\pi}{6}$

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