Show that the running time of QUICKSORT is Θn2 when the elements of the input array are sorted in decreasing order.
Show that the running time of QUICKSORT is Θn2 when the elements of the input array are sorted in decreasing order.
QUICKSORT is a highly efficient sorting algorithm, often outperforming other sorting methods in typical scenarios. However, like many algorithms, QUICKSORT has its Achilles' heel—the worst-case scenario. In this explanation, delve into the worst-case scenario of QUICKSORT, which occurs when the input array is sorted in decreasing order. Explore the mechanics behind this worst-case behavior and demonstrate why the running time of QUICKSORT becomes Θ(n^2) in such situations.
Understanding the worst-case behavior of algorithms is crucial for making informed decisions when choosing sorting strategies, as it allows us to identify scenarios where alternative sorting algorithms might be more suitable.
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