Question: We saw that formulating the problem of finding the ith-largest (or smallest) item in a list as a problem similar to sorting a list, but

 We saw that formulating the problem of finding the ith-largest (or

We saw that formulating the problem of finding the ith-largest (or smallest) item in a list as a problem similar to sorting a list, but with the relaxed constraints of only needing to put the ith element in the correct position allowed us to modify the average-case n log n algorithm of Quicksort into the O(n) algorithm of Quickselect. If a problem only required an array's elements to be arranged so that elements with negative values were placed before elements with the value 0, and elements with the value 0 were placed before elements with positive values, design an O(n) algorithm to carry out this task. Is a more asymptotically efficient algorithm possible? Why or why not

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