In figure, find the value of resistor to be connected between \( C \) and \( D \), so that the r...

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In figure, find the value of resistor to be connected between \( C \) and \( D \), so that the resistance of the entire circuit between \( A \) and \( B \) does not change with the number of elementary sets.
(1) \( R \)
(2) \( R(\sqrt{3}-1) \)
(3) \( 3 R \)
(4) \( R(\sqrt{3}+1) \)
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