
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 landlord of an apartment building needs to purchase digits to label all of the apartments from 100 through 150 on the first floor, from 200 through 250 on the second floor, and from 300 through 325 on the third floor. The digits can only be purchased in a package that contains one of each digit 0 through 9. How many packages must the landlord purchase?

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