Question: (1) Name the best stable algorithm to sort n keys whose values are in the range 0, . . . , n 1. (2) Name

(1) Name the best stable algorithm to sort n keys whose

(1) Name the best stable algorithm to sort n keys whose values are in the range 0, . . . , n 1.

(2) Name the best in-place algorithm to sort n keys whose values are in the range 0, . . . , n2 1.

(3) Name the best stable algorithm to sort n keys whose values are in the range 0, . . . , n2 1.

(4) Is Count-Sort stable?

(5) Does Count-Sort sort in-place?

(6) Is Quick-Sort sort stable?

Please explain your reasoning.

Problem 2. (18 POINTS) Provide short answers to the following questions. An algorithm A is better than B if the worst-case running time of A is better/lower than that of B. (1) Name the best stable algorithm to sort n keys whose values are in the range 0, ,n-1. (2) Name the best in-place algorithm to sort n keys whose values are in the range 0,...,n2-1. (3) Name the best stable algorithm to sort n keys whose values are in the range 0,...,n2-1. (4) Is Count-Sort stable? (5) Does Count-Sort sort in-place? 6) Is Quick-Sort sort stable

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