A metal sphere A has charge 2Q. Two other spheres, B and C, are
identical to A except they have zero net charge. A touches B, then
the two spheres are separated. B touches C, then those spheres are
separated. Finally, C touches A and those two spheres are
separated. If sphere C is grounded when it is touching B, but C is
not grounded at any other time. What is the final charge on each
sphere ?