
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 card has a four-digit natural number written on it. By removing any two digits from this number, we always obtain a two-digit natural number that is divisible by 5 without remainder. How many such four-digit natural numbers exist? (Note, for example, the number 06 is not considered a two-digit number.)

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