
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
Given a quadrilateral \(ABCD\), sides \(\overline{AB}\) and \(\overline{CD}\) are extended past \(B\) and \(C\) to \(A'\) and \(D'\) respectively, so that \(A'B = AB\) and \(D'C = DC\). Points \(B'\) and \(C'\) represent \(B\) and \(C\) respectively, without extension. 

After this construction, points \(A, B, C,\) and \(D\) are erased. You know the locations of points \(A', B', C',\) and \(D',\) and want to reconstruct quadrilateral \(ABCD\).

There exist real numbers \(p, q, r,\) and \(s\) such that
\[
\overrightarrow{A} = p \overrightarrow{A'} + q \overrightarrow{B'} + r \overrightarrow{C'} + s \overrightarrow{D'}.
\]
Enter the ordered quadruple \((p, q, r, s)\).

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