import time
import random
import sys
# ---------------------------------------------------------
# Student Info [cite: 15-18]
# ---------------------------------------------------------
# Student Name:
# ID:
# Group#:
# ---------------------------------------------------------
# ==========================================
# 1. Quicksort Implementation [cite: 53-73]
# ==========================================
def partition(arr, left, right):
pivot = arr[left] # Choose first element as pivot [cite: 62]
i = left
for j in range(left + 1, right + 1):
if arr[j] < pivot:
i += 1
arr[i], arr[j] = arr[j], arr[i]
# Place pivot in correct position
arr[left], arr[i] = arr[i], arr[left]
return i
def quicksort(arr, left = None, right = None):
if left is None:
left = 0
if right is None:
right = len(arr) - 1
if left < right:
p = partition(arr, left, right)
quicksort(arr, left, p - 1)
quicksort(arr, p + 1, right)
return arr
def heapify(arr, n, i):
largest = i
left = 2 * i + 1
right = 2 * i + 2
# Check left child
if left < n and arr[left] > arr[largest]:
largest = left
# Check right child
if right < n and arr[right] > arr[largest]:
largest = right
# Swap and continue heapifying if root is not largest
if largest != i:
arr[i], arr[largest] = arr[largest], arr[i]
heapify(arr, n, largest)
def heapsort(arr):
n = len(arr)
# Build a Max Heap
for i in range(n // 2 - 1, -1, -1):
heapify(arr, n, i)
# Extract elements one by one
for end in range(n - 1, 0, -1):
arr[0], arr[end] = arr[end], arr[0]
heapify(arr, end, 0)
return arr
def merge(left, right):
result = []
i = j = 0
while i < len(left) and j < len(right):
if left[i] < right[j]:
result.append(left[i])
i += 1
else:
result.append(right[j])
j += 1
result.extend(left[i:])
result.extend(right[j:])
return result
def merge_sort(arr):
if len(arr) <= 1:
return arr
mid = len(arr) // 2
left_half = arr[:mid]
right_half = arr[mid:]
sorted_left = merge_sort(left_half)
sorted_right = merge_sort(right_half)
return merge(sorted_left, sorted_right)
def selection_sort(arr):
n = len(arr)
for i in range(n):
min_index = i
for j in range(i + 1, n):
if arr[j] < arr[min_index]:
min_index = j
arr[i], arr[min_index] = arr[min_index], arr[i]
return arr
def compare_sorts(arr: list):
algorithms = [quicksort, heapsort, merge_sort, selection_sort]
for algorithm in algorithms:
copy = arr.copy()
start = time.time()
sorted = algorithm(copy)
end = time.time()
print(f"{algorithm.__name__:<15} {(end - start) * 1000:<10.5f} {sorted}")
a = [12, 5, 9, 1, 14, 3, 7]
compare_sorts(a)التتبع كامل: https://claude.ai/public/artifacts/d5647787-630d-4c22-b6d9-c67d697eac36