
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 printer received an annual order to print 10,000 posters each month. Each month's poster should have the month's name printed on it. Thus, he needs to print 10,000 posters with the word "JANUARY", 10,000 posters with the word "FEBRUARY", 10,000 posters with the word "MARCH", and so on. The typefaces used to print the month names were made on special order and were very expensive. Therefore, the printer wanted to buy as few typefaces as possible, with the idea that some of the typefaces used for one month's name could be reused for the names of other months. The goal is to have a sufficient stock of typefaces to print the names of all months throughout the year.

How many different typefaces does the printer need to buy? All words are printed in uppercase letters, as shown above.

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