in-place sorting algorithms

In-place sorting algorithms refer to sorting methods that rearrange elements within the original array, without requiring additional memory space proportional to the input size. This means that the sorting operation modifies the order of elements directly within the input array without creating a separate copy of the data. In-place sorting algorithms are efficient in terms of memory utilization, as they do not allocate additional memory for sorting purposes, but they may have higher time complexity compared to algorithms that use additional memory.

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