ELMO SL 2014 C1

You have some cyan, magenta, and yellow beads on a non-reorientable circle, and you can perform only the following operations:

1. Move a cyan bead right (clockwise) past a yellow bead, and turn the yellow bead magenta.
2. Move a magenta bead left of a cyan bead, and insert a yellow bead left of where the magenta bead ends up.
3. Do either of the above, switching the roles of the words magenta'' and left'' with those of yellow'' and right'', respectively.
4. Pick any two disjoint consecutive pairs of beads, each either yellow-magenta or magenta-yellow, appearing somewhere in the circle, and swap the orders of each pair.
5. Remove four consecutive beads of one color.

Starting with the circle: yellow, yellow, magenta, magenta, cyan, cyan, cyan'', determine whether or not you can reach a) yellow, magenta, yellow, magenta, cyan, cyan, cyan'', b) cyan, yellow, cyan, magenta, cyan'', c) magenta, magenta, cyan, cyan, cyan'', d) ``yellow, cyan, cyan, cyan''.

Proposed by Sammy Luo