
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 a given area, there are 10 famous tourist attractions, of which 8 are for daytime visits and 2 are for nighttime visits. A tour group wants to select 5 from these 10 spots for a two-day tour. The itinerary is arranged with one spot in the morning, one in the afternoon, and one in the evening of the first day, and one spot in the morning and one in the afternoon of the second day.
1. How many different arrangements are there if at least one of the two daytime spots, A and B, must be chosen?
2. How many different arrangements are there if the two daytime spots, A and B, are to be visited on the same day?
3. How many different arrangements are there if the two daytime spots, A and B, are not to be chosen at the same time?

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