
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 the fourth episode of the second season of "Dad, Where Are We Going?", the village chief assigns 8 "cute kids" a task to search for airdropped food. It is known that:
① There are two locations for the airdrop, one is farther and the other is nearer.
② Since "cute kid" Grace is quite young, she either does not participate in the task, in which case another "cute kid" must stay at the base camp with her, or she participates in the search for the food at the nearer drop point.
③ All "cute kids" participating in the search must be evenly split into two groups, one going to the farther location and the other to the nearer one.
The number of different search plans is ________.

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