Question: Suppose the elements are given in an array of length n , where each key is an arbitrary number. Suppose there are k distinct. numbers,

Suppose the elements are given in an array of length n

,

where each key is an arbitrary number. Suppose there are k distinct. numbers, but the algorithm does not know k in advance. The task is to rearrange the elements in the array into sorted order with running time asyrnpt.ot

.

ically better than O

(

n log n

),

when k is much smaller than n

.

Analyze the running time in terms of both n and k

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