
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 school is preparing to hold a meeting for representatives of high school seniors and has six representative spots assigned to the three classes of the senior grade. Each class must be allocated at least one spot. There are a total of \(\boxed{10}\) different allocation schemes.

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