
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
Albert has a bag with 10 marbles numbered 1 to 10. Lisa has a bag with 8 marbles numbered from 1 to 8. Lisa draws one marble, and Albert draws three marbles (where the order of his choices matters). How many ways can they draw the marbles such that the product of the numbers on Albert's three marbles equals twice the number on Lisa's marble?

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