
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
At King Arthur's round table, there are 50 knights, and he wants to send 15 of them to search for the Holy Grail. How many ways can he do this if he does not want to select neighboring knights?

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