
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
Arrange a group of numbers $\sqrt{2}$, $2$, $\sqrt{6}$, $2\sqrt{2}$, $10$, $\ldots$ in the following way:<br/>$\sqrt{2}$, $2$, $\sqrt{6}$, $2\sqrt{2}$;<br/>$\sqrt{10}$, $2\sqrt{3}$, $\sqrt{14}$, $4$;<br/>$\cdots \cdots$<br/>If the position of $2$ is denoted as $\left(1,2\right)$, and the position of $\sqrt{14}$ is denoted as $\left(2,3\right)$, then the position of $10\sqrt{3}$ is denoted as ______.

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