Quick Sort
See it animated in Zerethon Tools ↗Partition around a pivot (Lomuto scheme, last element) and sort each side — O(n log n) on average.
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# Quick Sort
Zerethon Official Sample `quick-sort`, version 1.2.0, Python 3.12.
- `quick_sort.py` — the algorithm, as shown in Zerethon Tools
- `main.py` — entry file: a short demonstration
- `test_quick_sort.py` — checks; set it as the entry file to run them
This project is your own copy. Changing it never changes the official sample.
See the algorithm animated: https://tools.zerethon.com/quick-sort-visualizer
from quick_sort import quick_sort
numbers = [38, 27, 43, 3, 9, 82, 10, 27]
print("Before:", numbers)
result = quick_sort(list(numbers))
print("After: ", result)
print("Same as sorted():", result == sorted(numbers))
"""Quick Sort (Zerethon Official Sample: quick-sort 1.2.0)."""
def quick_sort(a, lo=0, hi=None):
if hi is None:
hi = len(a) - 1
if lo >= hi:
return a
pivot = a[hi]
i = lo
for j in range(lo, hi):
if a[j] < pivot:
a[i], a[j] = a[j], a[i]
i += 1
a[i], a[hi] = a[hi], a[i]
quick_sort(a, lo, i - 1)
quick_sort(a, i + 1, hi)
return a
# Checks for quick_sort. To run them, set this file as the entry file
# (the ▶ button next to it in Files) and press Run.
from quick_sort import quick_sort
def numbers(seed, count):
"""Deterministic pseudo-random integers in [-50, 49]."""
out = []
for _ in range(count):
seed = (seed * 1103515245 + 12345) % 2**31
out.append(seed % 100 - 50)
return out
cases = [[], [1], [2, 1], [1, 2, 3], [3, 2, 1], [5, 1, 5, 1, 5], [-3, 0, -1, 2]]
cases += [numbers(seed, size) for seed, size in ((1, 10), (2, 50), (3, 200))]
for case in cases:
got = quick_sort(list(case))
assert got == sorted(case), f"quick_sort({case[:6]}...) = {got[:6]}..."
print(f"All {len(cases)} checks passed.")
Source: Zerethon Official Sample. Algorithm as shown in the Zerethon Tools Quick Sort Visualizer.