
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 \(ABCD\), \(\overrightarrow{BC} = 2 \overrightarrow{AD}\). Point \(P\) is a point in the plane of the quadrilateral such that \(\overrightarrow{PA} + 2020 \overrightarrow{PB} + \overrightarrow{PC} + 2020 \overrightarrow{PD} = \mathbf{0}\). Let \(s\) and \(t\) be the areas of quadrilateral \(ABCD\) and triangle \(PAB\), respectively. Then \(\frac{t}{s} =\) ______.

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