
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
The sequence \(\{a_{n}\}\) has the sum of the first \(n\) terms given by \(S_n = 2n - 1\). Find \(a_{1} + a_{2}^{2} + a_{3}^{3} + \cdots + a_{n}^{n}\).

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