
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 subset \( X \) of the set of "two-digit" numbers \( 00, 01, \ldots, 98, 99 \) is such that in any infinite sequence of digits, there will be two consecutive digits forming a number from \( X \). What is the smallest number of elements that can be in \( X \)?

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