
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 math conference is hosting a series of lectures with six different lecturers: Dr. Jones, Dr. Smith, Dr. Allen, and three others. Dr. Smith's lecture depends on Dr. Jones's lecture, and Dr. Allen's lecture further depends on Dr. Smith's lecture. In what ways can the six lecturers be scheduled?

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