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| 1 | +#Finding Kth smallest value in list by selection algorithms |
| 2 | + |
| 3 | +def quick_select(array_list, start, end, k): |
| 4 | + split = partition(array_list, start, end) |
| 5 | + if split == k: |
| 6 | + return array_list[split] |
| 7 | + elif split < k: |
| 8 | + return quick_select(array_list, split + 1, end, k) |
| 9 | + else: |
| 10 | + return quick_select(array_list, start, split - 1, k) |
| 11 | + |
| 12 | + |
| 13 | +def partition(unsorted_array, first_index, last_index): |
| 14 | + pivot = unsorted_array[first_index] |
| 15 | + pivot_index = first_index |
| 16 | + index_of_last_element = last_index |
| 17 | + less_than_pivot_index = index_of_last_element |
| 18 | + greater_than_pivot_index = first_index + 1 |
| 19 | + while True: |
| 20 | + while unsorted_array[greater_than_pivot_index] < pivot and greater_than_pivot_index < last_index: |
| 21 | + greater_than_pivot_index += 1 |
| 22 | + while unsorted_array[less_than_pivot_index] > pivot and less_than_pivot_index >= first_index: |
| 23 | + less_than_pivot_index -= 1 |
| 24 | + if greater_than_pivot_index < less_than_pivot_index: |
| 25 | + temp = unsorted_array[greater_than_pivot_index] |
| 26 | + unsorted_array[greater_than_pivot_index] = unsorted_array[less_than_pivot_index] |
| 27 | + unsorted_array[less_than_pivot_index] = temp |
| 28 | + else: |
| 29 | + break |
| 30 | + unsorted_array[pivot_index] = unsorted_array[less_than_pivot_index] |
| 31 | + unsorted_array[less_than_pivot_index] = pivot |
| 32 | + return less_than_pivot_index |
| 33 | + |
| 34 | + |
| 35 | +list1 = [3,1,10, 4, 6, 5] |
| 36 | +print("The 2nd smallest element is", quick_select(list1, 0, 5, 1)) |
| 37 | +print("The 3rd smallest element is", quick_select(list1, 0, 5, 2)) |
| 38 | + |
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