
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 organizing a lecture series with eight different lecturers. If Dr. Smith's lecture depends on Dr. Jones's lecture so that Dr. Smith must be scheduled at some time after Dr. Jones, and in addition, Dr. Lee's lecture depends on Dr. Kim's lecture so Dr. Lee must lecture at some time after Dr. Kim, in how many orders can the eight lecturers be scheduled?

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