
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
Given the universal set \( I = \{ x \mid 1 \leq x \leq 100, x \in \mathbb{Z} \} \) and its two subsets \( A = \{ m \mid 1 \leq m \leq 100, m = 2k + 1, k \in \mathbb{Z} \} \) and \( B = \{ n \mid 1 \leq n \leq 100, n = 3k, k \in \mathbb{Z} \} \), what is the largest element in \( \bar{A} \cap B \)?

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