
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 head assigned the six "cute kids" a task to search for airdropped food. It is known that: ① There are two food drop locations, one far and one near; ② Since Grace is young, she either does not participate in the task, requiring another child to stay at the base camp, or she participates in searching at the near drop location; ③ All children participating in the search task must be evenly divided into two groups, one going to the far location and one to the near location. How many different search plans are possible? (Answer in numerical form.)

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