
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
A collection of numbered index cards included one card with a 1 written on it, two cards with a 2, and so forth up to \(n\) cards showing an \(n\), for some positive integer \(n\). Determine \(n\) if the average value of a card in this collection is 2023.

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