Welcome to Quick Sort! Quick Sort is one of the most efficient sorting algorithms, using a divide-and-conquer approach. It works by selecting a pivot element and partitioning the array around it. Let's see how it transforms this unsorted array step by step.
The Quick Sort algorithm follows three main steps. First, choose a pivot element from the array. Second, partition the array so elements smaller than the pivot go to the left, and larger elements go to the right. Finally, recursively apply the same process to the sub-arrays. Here we see partitioning with pivot sixty-four.
Let's see the partitioning process in action. We start with the unsorted array and choose sixty-four as our pivot. We then compare each element with the pivot and rearrange them. Elements smaller than sixty-four move to the left side, while larger elements move to the right. The pivot ends up in its correct sorted position.
Now we see the recursive nature of Quick Sort. After partitioning, we have two sub-arrays: the left contains elements smaller than sixty-four, and the right contains larger elements. We recursively apply Quick Sort to each sub-array until all elements are sorted. The time complexity is O of n log n on average, but O of n squared in the worst case.
To summarize what we've learned about Quick Sort: It's a powerful divide-and-conquer algorithm that efficiently sorts arrays through pivot selection and partitioning. With average O of n log n performance and in-place sorting capability, Quick Sort remains one of the most practical sorting algorithms in computer science.