
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 being identical, 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. How many different purchasing combinations are possible?

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