
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 teacher is buying souvenirs for students. The store has three different types of souvenirs (each type of souvenir is exactly the same), priced at 1 yuan, 2 yuan, and 4 yuan respectively. The teacher plans to spend 101 yuan, and must buy at least one of each type of souvenir. How many different purchasing plans are there?

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