
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 positive integers from 1 to \( n \) inclusive are written on a whiteboard. After one number is erased, the average (arithmetic mean) of the remaining \( n-1 \) numbers is 22. Knowing that \( n \) is odd, determine \( n \) and the number that was erased. Explain your reasoning.

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