
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]


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The manager of a hotel wants to purchase digit labels for the hotel rooms on three floors. The rooms are numbered from 101 to 150 on the first floor, from 201 to 250 on the second floor, and from 301 to 350 on the third floor. The digits can be bought only in packages containing 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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