
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
In a convex quadrilateral, two sides are equal to 1, and the other sides and both diagonals are not greater than 1. What is the maximum possible value of the perimeter of the quadrilateral?

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