
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
How many different ways can the lottery result such that the five drawn numbers, arranged in increasing order, have each number greater than the previous one by the same amount? How many ways is it possible for this to be true for any four out of the five drawn numbers?

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