sort
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@ -10,7 +10,7 @@ import os.path as osp
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sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
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sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
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"""冒泡排序"""
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""" 冒泡排序 """
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def bubble_sort(nums):
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def bubble_sort(nums):
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n = len(nums)
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n = len(nums)
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# 外循环:待排序元素数量为 n-1, n-2, ..., 1
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# 外循环:待排序元素数量为 n-1, n-2, ..., 1
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@ -22,7 +22,7 @@ def bubble_sort(nums):
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nums[j], nums[j + 1] = nums[j + 1], nums[j]
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nums[j], nums[j + 1] = nums[j + 1], nums[j]
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"""冒泡排序(标志优化)"""
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""" 冒泡排序(标志优化) """
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def bubble_sort_with_flag(nums):
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def bubble_sort_with_flag(nums):
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n = len(nums)
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n = len(nums)
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# 外循环:待排序元素数量为 n-1, n-2, ..., 1
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# 外循环:待排序元素数量为 n-1, n-2, ..., 1
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@ -10,7 +10,7 @@ import os.path as osp
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sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
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sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
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"""插入排序"""
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""" 插入排序 """
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def insertion_sort(nums):
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def insertion_sort(nums):
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# 外循环:base = nums[1], nums[2], ..., nums[n-1]
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# 外循环:base = nums[1], nums[2], ..., nums[n-1]
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for i in range(1, len(nums)):
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for i in range(1, len(nums)):
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@ -19,19 +19,19 @@ def merge(nums, left, mid, right):
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# 初始化辅助数组 借助 copy模块
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# 初始化辅助数组 借助 copy模块
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tmp = nums[left:right + 1]
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tmp = nums[left:right + 1]
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# 左子数组的起始索引和结束索引
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# 左子数组的起始索引和结束索引
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leftStart, leftEnd = left - left, mid - left
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left_start, left_end = left - left, mid - left
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# 右子数组的起始索引和结束索引
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# 右子数组的起始索引和结束索引
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rightStart, rightEnd = mid + 1 - left, right - left
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right_start, right_end = mid + 1 - left, right - left
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# i, j 分别指向左子数组、右子数组的首元素
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# i, j 分别指向左子数组、右子数组的首元素
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i, j = leftStart, rightStart
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i, j = left_start, right_start
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# 通过覆盖原数组 nums 来合并左子数组和右子数组
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# 通过覆盖原数组 nums 来合并左子数组和右子数组
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for k in range(left, right + 1):
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for k in range(left, right + 1):
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# 若 “左子数组已全部合并完”,则选取右子数组元素,并且 j++
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# 若 “左子数组已全部合并完”,则选取右子数组元素,并且 j++
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if i > leftEnd:
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if i > left_end:
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nums[k] = tmp[j]
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nums[k] = tmp[j]
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j += 1
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j += 1
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# 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++
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# 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++
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elif j > rightEnd or tmp[i] <= tmp[j]:
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elif j > right_end or tmp[i] <= tmp[j]:
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nums[k] = tmp[i]
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nums[k] = tmp[i]
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i += 1
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i += 1
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# 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++
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# 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++
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@ -39,14 +39,13 @@ def merge(nums, left, mid, right):
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nums[k] = tmp[j]
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nums[k] = tmp[j]
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j += 1
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j += 1
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""" 归并排序 """
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"""归并排序"""
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def merge_sort(nums, left, right):
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def merge_sort(nums, left, right):
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# 终止条件
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# 终止条件
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if left >= right:
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if left >= right:
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return # 当子数组长度为 1 时终止递归
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return # 当子数组长度为 1 时终止递归
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# 划分阶段
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# 划分阶段
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mid = left + right >> 1 # 计算中点
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mid = (left + right) // 2 # 计算中点
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merge_sort(nums, left, mid) # 递归左子数组
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merge_sort(nums, left, mid) # 递归左子数组
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merge_sort(nums, mid + 1, right) # 递归右子数组
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merge_sort(nums, mid + 1, right) # 递归右子数组
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# 合并阶段
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# 合并阶段
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@ -10,9 +10,9 @@ import os.path as osp
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sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
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sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
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"""快速排序类"""
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""" 快速排序类 """
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class quick_sort(object):
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class QuickSort(object):
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"""哨兵划分"""
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""" 哨兵划分 """
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def partition(self, nums, left, right):
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def partition(self, nums, left, right):
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# 以 nums[left] 作为基准数
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# 以 nums[left] 作为基准数
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i, j = left, right
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i, j = left, right
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@ -27,7 +27,7 @@ class quick_sort(object):
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nums[i], nums[left] = nums[left], nums[i]
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nums[i], nums[left] = nums[left], nums[i]
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return i # 返回基准数的索引
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return i # 返回基准数的索引
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"""快速排序"""
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""" 快速排序 """
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def quick_sort(self, nums, left, right):
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def quick_sort(self, nums, left, right):
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# 子数组长度为 1 时终止递归
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# 子数组长度为 1 时终止递归
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if left >= right:
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if left >= right:
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@ -39,10 +39,10 @@ class quick_sort(object):
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self.quick_sort(nums, pivot + 1, right)
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self.quick_sort(nums, pivot + 1, right)
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"""快速排序类(中位基准数优化)"""
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""" 快速排序类(中位基准数优化)"""
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class quick_sort_median():
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class QuickSortMedian():
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"""选取三个元素的中位数"""
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""" 选取三个元素的中位数 """
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def median_three(self, nums, left, mid, right):
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def median_three(self, nums, left, mid, right):
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# 使用了异或操作来简化代码
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# 使用了异或操作来简化代码
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# 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1
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# 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1
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@ -52,7 +52,7 @@ class quick_sort_median():
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return mid
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return mid
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return right
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return right
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"""哨兵划分(三数取中值)"""
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""" 哨兵划分(三数取中值) """
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def partition(self, nums, left, right):
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def partition(self, nums, left, right):
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# 以 nums[left] 作为基准数
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# 以 nums[left] 作为基准数
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med = self.median_three(nums, left, (left + right) // 2, right)
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med = self.median_three(nums, left, (left + right) // 2, right)
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@ -71,7 +71,7 @@ class quick_sort_median():
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nums[i], nums[left] = nums[left], nums[i]
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nums[i], nums[left] = nums[left], nums[i]
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return i # 返回基准数的索引
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return i # 返回基准数的索引
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"""快速排序"""
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""" 快速排序 """
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def quick_sort(self, nums, left, right):
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def quick_sort(self, nums, left, right):
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# 子数组长度为 1 时终止递归
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# 子数组长度为 1 时终止递归
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if left >= right: return
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if left >= right: return
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@ -82,9 +82,9 @@ class quick_sort_median():
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self.quick_sort(nums, pivot + 1, right)
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self.quick_sort(nums, pivot + 1, right)
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"""快速排序类(尾递归优化)"""
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""" 快速排序类(尾递归优化) """
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class quick_sort_tail_call():
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class QuickSortTailCall():
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"""哨兵划分"""
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""" 哨兵划分 """
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def partition(self, nums, left, right):
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def partition(self, nums, left, right):
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# 以 nums[left] 作为基准数
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# 以 nums[left] 作为基准数
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i, j = left, right
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i, j = left, right
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@ -99,7 +99,7 @@ class quick_sort_tail_call():
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nums[i], nums[left] = nums[left], nums[i]
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nums[i], nums[left] = nums[left], nums[i]
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return i # 返回基准数的索引
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return i # 返回基准数的索引
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"""快速排序(尾递归优化)"""
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""" 快速排序(尾递归优化) """
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def quick_sort(self, nums, left, right):
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def quick_sort(self, nums, left, right):
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# 子数组长度为 1 时终止
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# 子数组长度为 1 时终止
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while left < right:
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while left < right:
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@ -117,15 +117,15 @@ class quick_sort_tail_call():
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if __name__ == '__main__':
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if __name__ == '__main__':
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# 快速排序
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# 快速排序
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nums = [4, 1, 3, 1, 5, 2]
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nums = [4, 1, 3, 1, 5, 2]
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quick_sort().quick_sort(nums, 0, len(nums) - 1)
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QuickSort().quick_sort(nums, 0, len(nums) - 1)
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print("快速排序完成后 nums = ", nums)
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print("快速排序完成后 nums = ", nums)
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# 快速排序(中位基准数优化)
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# 快速排序(中位基准数优化)
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nums1 = [4, 1, 3, 1, 5, 2]
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nums1 = [4, 1, 3, 1, 5, 2]
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quick_sort_median().quick_sort(nums1, 0, len(nums1) - 1)
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QuickSortMedian().quick_sort(nums1, 0, len(nums1) - 1)
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print("快速排序(中位基准数优化)完成后 nums = ", nums)
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print("快速排序(中位基准数优化)完成后 nums = ", nums)
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# 快速排序(尾递归优化)
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# 快速排序(尾递归优化)
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nums2 = [4, 1, 3, 1, 5, 2]
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nums2 = [4, 1, 3, 1, 5, 2]
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quick_sort_tail_call().quick_sort(nums, 0, len(nums2) - 1)
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QuickSortTailCall().quick_sort(nums, 0, len(nums2) - 1)
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print("快速排序(尾递归优化)完成后 nums = ", nums)
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print("快速排序(尾递归优化)完成后 nums = ", nums)
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