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සැSorting algorithms' complexity is generally evaluated based on time and memory.

  • Bubble Sort: time — O(n²), memory — O(1). Simple, but inefficient for large data.
  • Insertion Sort: time — O(n²) in the worst case, O(n) in the best (almost sorted array), memory — O(1).
  • Merge Sort: time — O(n log n) in all cases, memory — O(n) due to an additional array.
  • Quick Sort: average time — O(n log n), worst — O(n²), memory — O(log n) due to recursion.
  • Heap Sort: time — O(n log n), memory — O(1).

Java example of quick sort:

public static void quickSort(int[] arr, int low, int high) {
    if (low < high) {
        int pi = partition(arr, low, high);
        quickSort(arr, low, pi - 1);
        quickSort(arr, pi + 1, high);
    }
}

private static int partition(int[] arr, int low, int high) {
    int pivot = arr[high];
    int i = low - 1;
    for (int j = low; j < high; j++) {
        if (arr[j] < pivot) {
            i++;
            int temp = arr[i];
            arr[i] = arr[j];
            arr[j] = temp;
        }
    }
    int temp = arr[i + 1];
    arr[i + 1] = arr[high];
    arr[high] = temp;
    return i + 1;
}