
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 manager of a condo complex needs to purchase enough digits to label all of the condos from 300 through 350 on the third floor and 400 through 450 on the fourth floor. The digits can only be purchased in a package that contains one of each digit 0 through 9. How many packages must the manager purchase?

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