
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
"Math Prince" Gauss is one of the founders of modern mathematics. His mathematical research covers almost all areas, and Gauss has developed many mathematical theories, such as Gaussian functions, reverse addition method, least squares method, and the fact that every $n$-th order algebraic equation must have $n$ complex solutions. If the function $f(x)=\log_{2}\frac{2x}{1-x}$, and ${a}_{1}=1,{a}_{n}=f(\frac{1}{n})+f(\frac{2}{n})+f(\frac{3}{n})+\cdots+f(\frac{n-1}{n})(n\in\mathbb{N},n\geq 2)$, then $a_{1}+a_{2}+\cdots +a_{10}=\_\_\_\_\_\_$.

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