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@@ -87,7 +87,7 @@ comments: true
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```python title="bubble_sort.py"
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def bubble_sort(nums: list[int]) -> None:
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"""冒泡排序"""
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n: int = 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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for i in range(n - 1, 0, -1):
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# 内循环:冒泡操作
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@@ -302,10 +302,10 @@ comments: true
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```python title="bubble_sort.py"
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def bubble_sort_with_flag(nums: list[int]) -> None:
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"""冒泡排序(标志优化)"""
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n: int = 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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for i in range(n - 1, 0, -1):
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flag: bool = False # 初始化标志位
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flag = False # 初始化标志位
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# 内循环:冒泡操作
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for j in range(i):
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if nums[j] > nums[j + 1]:
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@@ -67,8 +67,8 @@ comments: true
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"""插入排序"""
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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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base: int = nums[i]
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j: int = i - 1
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base = nums[i]
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j = i - 1
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# 内循环:将 base 插入到左边的正确位置
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while j >= 0 and nums[j] > base:
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nums[j + 1] = nums[j] # 1. 将 nums[j] 向右移动一位
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@@ -151,16 +151,16 @@ comments: true
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# 左子数组区间 [left, mid]
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# 右子数组区间 [mid + 1, right]
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# 初始化辅助数组
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tmp: list[int] = list(nums[left : right + 1])
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tmp = list(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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left_start: int = 0
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left_end: int = mid - left
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left_start = 0
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left_end = mid - left
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# 右子数组的起始索引和结束索引
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right_start: int = mid + 1 - left
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right_end: int = right - left
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right_start = mid + 1 - left
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right_end = 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: int = left_start
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j: int = right_start
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i = left_start
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j = 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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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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@@ -182,7 +182,7 @@ comments: true
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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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# 划分阶段
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mid: int = (left + right) // 2 # 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, mid + 1, right) # 递归右子数组
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# 合并阶段
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@@ -364,7 +364,7 @@ comments: true
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if left >= right:
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return
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# 哨兵划分
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pivot: int = self.partition(nums, left, right)
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pivot = self.partition(nums, left, right)
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# 递归左子数组、右子数组
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self.quick_sort(nums, left, pivot - 1)
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self.quick_sort(nums, pivot + 1, right)
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@@ -621,7 +621,7 @@ comments: true
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def partition(self, nums: list[int], left: int, right: int) -> int:
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"""哨兵划分(三数取中值)"""
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# 以 nums[left] 作为基准数
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med: int = 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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# 将中位数交换至数组最左端
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nums[left], nums[med] = nums[med], nums[left]
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# 以 nums[left] 作为基准数
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@@ -964,7 +964,7 @@ comments: true
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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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# 哨兵划分操作
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pivot: int = self.partition(nums, left, right)
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pivot = self.partition(nums, left, right)
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# 对两个子数组中较短的那个执行快排
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if pivot - left < right - pivot:
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self.quick_sort(nums, left, pivot - 1) # 递归排序左子数组
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