
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
In how many ways can the letters of the word "ОЛИМПИАДА" be rearranged so that the subsequence "ЛАМПА" does not appear consecutively in that order (the identical rearrangement is also considered)? (12 points)

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