
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
Lottery players often complain that they didn't win again, and adding to the frustration, the numbers drawn were right next to the numbers they played. Let's calmly examine the question: were they really that close to the jackpot?

Assume that the winning numbers for the five-number lottery are: \( 7, 13, 28, 46, 75 \). How many different ticket combinations are possible where at least four of the chosen numbers are adjacent to the listed winning numbers? (Two numbers are adjacent if their absolute difference is 1.)

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