
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
We can multiply twelve numbers in such a way that we multiply two numbers first, then multiply the product with the rest one by one; however, we can also group the numbers differently, multiply them in smaller groups, and then multiply these products together until we get the final result.

Is it possible to group the factors in such a way that fewer than 11 multiplications are needed? If it is possible, what is the method to achieve the result with the least number of multiplications? If not, why not?

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