def quick_sort_tail_recursive(arr, low, high):
while low < high:
pivot_index = partition(arr, low, high)
# Tail recursion on the smaller partition
if pivot_index - low < high - pivot_index:
quick_sort_tail_recursive(arr, low, pivot_index - 1)
low = pivot_index + 1
else:
quick_sort_tail_recursive(arr, pivot_index + 1, high)
high = pivot_index - 1
def partition(arr, low, high):
pivot = arr[high]
i = low - 1
for j in range(low, high):
if arr[j] < pivot:
i += 1
arr[i], arr[j] = arr[j], arr[i]
arr[i + 1], arr[high] = arr[high], arr[i + 1]
return i + 1
# Example usage
my_array = [38, 27, 43, 3, 9, 82, 10]
quick_sort_tail_recursive(my_array, 0, len(my_array) - 1)
print(my_array)