Problem on rotation

An \(equilateral~ABC\) formed from a uniform wire has two small identical beads initially located at \(A\). The triangle is set rotating about the vertical axis \(AO\). Then the beads are released from rest simultaneously and allowed to slide down, one along \(AB\) and the other along \(AC\) as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down are

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