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There are three kids: Alice, Bob and Clara. Their mother wants to split a cake of size 1 into three pieces and distribute them among the kids. Every kid wants to eat as much cake as possible.

a) (10 rp) Consider the following mechanism. Alice cuts the cake in three pieces the way she likes; then Bob takes any piece he likes, and then Clara takes any piece she likes (of the two that are left), so Alice is left with another remaining piece. How will Alice cut the cake?