
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
There are several square paper sheets of type $A$ with side length $a$, square paper sheets of type $B$ with side length $b$, and rectangular paper sheets of type $C$ with dimensions $a$ and $b$. Xiao Ming selected $2$ sheets of type $A$, $3$ sheets of type $B$, and $7$ sheets of type $C$ to form a rectangle. The perimeter of this rectangle is _____. (Express in terms of $a$ and $b$)

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