Five players agree to divide a cake fairly using the last diminisher method. The players play in the following order: Anne first, Betty second, Cindy third, Doris fourth and Ellen last. Suppose that there are no diminishers in round 1 and Cindy and Doris are the only diminishers in round 2

1: which player gets her fair share at the end of round 1 ?
2: which player gets her fair share at the end of round 2 ?
3: how many rounds are required to divide the cake among five people ?

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