
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
Define an operation between sets A and B: A*B={x|x=x<sub>1</sub>+x<sub>2</sub>, x<sub>1</sub>∈A, x<sub>2</sub>∈B}. If A={1,2} and B={1,2,3}, then the sum of all elements in A*B is \_\_\_\_\_\_.

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