
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 enough digits to label all of the apartments from 100 through 150 on the first floor, 200 through 250 on the second floor, and 300 through 350 on the third floor. The digits can only be purchased in packages that contain one of each digit from 0 through 9. How many packages must the landlord purchase?

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