
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 an exhibition room, there are 9 booths, and now 3 exhibits need to be displayed. Each exhibit must occupy a booth on its own, and the booths chosen for the 3 exhibits must neither be at the ends nor adjacent to each other. Under these conditions, the number of different display methods is $\boxed{\text{number}}$; if it is further required that the distance between the booths chosen for the 3 exhibits does not exceed two booths, then the number of different display methods is $\boxed{\text{number}}$.

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