
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
Three numbers are given. If each of them is decreased by 1, then their product also decreases by 1. If all the original numbers are decreased by 2, then their product also decreases by 2.

a) By how much will the product decrease if all the original numbers are decreased by 3?

b) Specify any three numbers that satisfy the condition of the problem.

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