
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 sequence of $n$ consecutive natural numbers, where each number is expressed as a product of prime factors in standard form, and each prime factor is raised to an odd power, is called an "n Odd Group". For example, when $n=3$, $22=2^1 \times 11^1$, $23=23^1$, $24=2^3 \times 3^1$, then $22$, $23$, $24$ form a "3 Odd Group". What is the maximum possible value of $n$ for such "n Odd Groups"?

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