
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
Insert 2 " $\div$ " and 2 "+" among the following 9 "1"s to make the calculation result an integer. What is the smallest possible integer you can get?

\[
1 \ 1 \ 1 \ 1 \ 1 \ 1 \ 1 \ 1 \ 1 = ?
\]

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