
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 subset \(X\) of the set \(\{00,01, \cdots, 98,99\}\) satisfies: In any infinite sequence of numbers, there are always two adjacent numbers that form an element of \(X\). What is the minimum number of elements that \(X\) should contain?

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