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NIngCoder 2022-11-26 00:58:39 +08:00
parent 818fb54efb
commit db9faf98e1
4 changed files with 26 additions and 27 deletions
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4
codes/python/chapter_sorting/bubble_sort.py
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@ -10,7 +10,7 @@ import os.path as osp
sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
"""冒泡排序"""
""" 冒泡排序 """
def bubble_sort(nums):
n = len(nums)
# 外循环：待排序元素数量为 n-1, n-2, ..., 1
@ -22,7 +22,7 @@ def bubble_sort(nums):
nums[j], nums[j + 1] = nums[j + 1], nums[j]
"""冒泡排序（标志优化）"""
""" 冒泡排序（标志优化） """
def bubble_sort_with_flag(nums):
n = len(nums)
# 外循环：待排序元素数量为 n-1, n-2, ..., 1

2
codes/python/chapter_sorting/insertion_sort.py
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@ -10,7 +10,7 @@ import os.path as osp
sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
"""插入排序"""
""" 插入排序 """
def insertion_sort(nums):
# 外循环：base = nums[1], nums[2], ..., nums[n-1]
for i in range(1, len(nums)):

15
codes/python/chapter_sorting/merge_sort.py
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@ -19,19 +19,19 @@ def merge(nums, left, mid, right):
# 初始化辅助数组 借助 copy模块
tmp = nums[left:right + 1]
# 左子数组的起始索引和结束索引
leftStart, leftEnd = left - left, mid - left
left_start, left_end = left - left, mid - left
# 右子数组的起始索引和结束索引
rightStart, rightEnd = mid + 1 - left, right - left
right_start, right_end = mid + 1 - left, right - left
# i, j 分别指向左子数组、右子数组的首元素
i, j = leftStart, rightStart
i, j = left_start, right_start
# 通过覆盖原数组 nums 来合并左子数组和右子数组
for k in range(left, right + 1):
# 若 “左子数组已全部合并完”，则选取右子数组元素，并且 j++
if i > leftEnd:
if i > left_end:
nums[k] = tmp[j]
j += 1
# 否则，若 “右子数组已全部合并完” 或 “左子数组元素 < 右子数组元素”，则选取左子数组元素，并且 i++
elif j > rightEnd or tmp[i] <= tmp[j]:
elif j > right_end or tmp[i] <= tmp[j]:
nums[k] = tmp[i]
i += 1
# 否则，若 “左子数组元素 > 右子数组元素”，则选取右子数组元素，并且 j++
@ -39,14 +39,13 @@ def merge(nums, left, mid, right):
nums[k] = tmp[j]
j += 1
"""归并排序"""
""" 归并排序 """
def merge_sort(nums, left, right):
# 终止条件
if left >= right:
return # 当子数组长度为 1 时终止递归
# 划分阶段
mid = left + right >> 1 # 计算中点
mid = (left + right) // 2 # 计算中点
merge_sort(nums, left, mid) # 递归左子数组
merge_sort(nums, mid + 1, right) # 递归右子数组
# 合并阶段

32
codes/python/chapter_sorting/quick_sort.py
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@ -10,9 +10,9 @@ import os.path as osp
sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
"""快速排序类"""
class quick_sort(object):
"""哨兵划分"""
""" 快速排序类 """
class QuickSort(object):
""" 哨兵划分 """
def partition(self, nums, left, right):
# 以 nums[left] 作为基准数
i, j = left, right
@ -27,7 +27,7 @@ class quick_sort(object):
nums[i], nums[left] = nums[left], nums[i]
return i # 返回基准数的索引
"""快速排序"""
""" 快速排序 """
def quick_sort(self, nums, left, right):
# 子数组长度为 1 时终止递归
if left >= right:
@ -39,10 +39,10 @@ class quick_sort(object):
self.quick_sort(nums, pivot + 1, right)
"""快速排序类（中位基准数优化）"""
class quick_sort_median():
""" 快速排序类（中位基准数优化）"""
class QuickSortMedian():
"""选取三个元素的中位数"""
""" 选取三个元素的中位数 """
def median_three(self, nums, left, mid, right):
# 使用了异或操作来简化代码
# 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1
@ -52,7 +52,7 @@ class quick_sort_median():
return mid
return right
"""哨兵划分（三数取中值）"""
""" 哨兵划分（三数取中值） """
def partition(self, nums, left, right):
# 以 nums[left] 作为基准数
med = self.median_three(nums, left, (left + right) // 2, right)
@ -71,7 +71,7 @@ class quick_sort_median():
nums[i], nums[left] = nums[left], nums[i]
return i # 返回基准数的索引
"""快速排序"""
""" 快速排序 """
def quick_sort(self, nums, left, right):
# 子数组长度为 1 时终止递归
if left >= right: return
@ -82,9 +82,9 @@ class quick_sort_median():
self.quick_sort(nums, pivot + 1, right)
"""快速排序类（尾递归优化）"""
class quick_sort_tail_call():
"""哨兵划分"""
""" 快速排序类（尾递归优化） """
class QuickSortTailCall():
""" 哨兵划分 """
def partition(self, nums, left, right):
# 以 nums[left] 作为基准数
i, j = left, right
@ -99,7 +99,7 @@ class quick_sort_tail_call():
nums[i], nums[left] = nums[left], nums[i]
return i # 返回基准数的索引
"""快速排序（尾递归优化）"""
""" 快速排序（尾递归优化） """
def quick_sort(self, nums, left, right):
# 子数组长度为 1 时终止
while left < right:
@ -117,15 +117,15 @@ class quick_sort_tail_call():
if __name__ == '__main__':
# 快速排序
nums = [4, 1, 3, 1, 5, 2]
quick_sort().quick_sort(nums, 0, len(nums) - 1)
QuickSort().quick_sort(nums, 0, len(nums) - 1)
print("快速排序完成后 nums = ", nums)
# 快速排序（中位基准数优化）
nums1 = [4, 1, 3, 1, 5, 2]
quick_sort_median().quick_sort(nums1, 0, len(nums1) - 1)
QuickSortMedian().quick_sort(nums1, 0, len(nums1) - 1)
print("快速排序（中位基准数优化）完成后 nums = ", nums)
# 快速排序（尾递归优化）
nums2 = [4, 1, 3, 1, 5, 2]
quick_sort_tail_call().quick_sort(nums, 0, len(nums2) - 1)
QuickSortTailCall().quick_sort(nums, 0, len(nums2) - 1)
print("快速排序（尾递归优化）完成后 nums = ", nums)