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The inplace quicksort algorithm efficiently sorts elements in an array by recursively dividing the array into smaller subarrays based on a chosen pivot element. It then rearranges the elements so that all elements smaller than the pivot are on one side, and all elements larger are on the other. This process is repeated until the entire array is sorted. The algorithm's efficiency comes from its ability to sort elements in place without requiring additional memory allocation for new arrays.

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