
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
Subset \( X \) of the set of two-digit numbers \(\{00, 01, \cdots, 98, 99\}\) has the following property: in any infinite sequence composed of digits, there are always two adjacent digits that form an element of \( X \). What is the minimum number of elements that \( X \) can contain?

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