
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
Given that each integer from 1 through 12 is written on a separate slip of paper, with Alice and Bob each drawing one slip at random, with replacement, from the hat, determine the digit that is most likely to be the units digit of the product of Alice's and Bob's integers.

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