
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
Let \( n \) positive numbers \( a_{1}, a_{2}, \cdots, a_{n} \) satisfy \( a_{1}+a_{2}+\cdots+a_{n}=2023 \). \( M \) is the maximum value among
\[
\frac{a_{1}}{2023+a_{1}}, \frac{a_{2}}{2023+a_{1}+a_{2}}, \cdots, \frac{a_{n}}{2023+a_{1}+a_{2}+\cdots+a_{n}}
\]
Then, the minimum possible value of \( M \) is \(\quad\).

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