If \( \sin (A+B)=\frac{\sqrt{3}}{2} \) and \( \cot (A-B)=1 \), then find \( A \) and \( B \).
If \( \sin (A+B)=\frac{\sqrt{3}}{2} \) and \( \cot (A-B)=1 \), then find \( A \) and \( B \).
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