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@@ -87,8 +87,8 @@ comments: true
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=== "Python"
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```python title="bubble_sort.py"
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""" 冒泡排序 """
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def bubble_sort(nums):
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""" 冒泡排序 """
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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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@@ -295,8 +295,8 @@ comments: true
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=== "Python"
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```python title="bubble_sort.py"
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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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""" 冒泡排序(标志优化) """
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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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@@ -63,9 +63,9 @@ comments: true
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=== "Python"
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```python title="insertion_sort.py"
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""" 插入排序 """
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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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""" 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 = nums[i]
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j = i - 1
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@@ -146,10 +146,10 @@ comments: true
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=== "Python"
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```python title="merge_sort.py"
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""" 合并左子数组和右子数组 """
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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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def merge(nums, left, mid, right):
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""" 合并左子数组和右子数组 """
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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 借助 copy模块
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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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@@ -173,8 +173,8 @@ comments: true
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nums[k] = tmp[j]
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j += 1
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""" 归并排序 """
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def merge_sort(nums, left, right):
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""" 归并排序 """
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# 终止条件
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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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@@ -100,8 +100,8 @@ comments: true
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=== "Python"
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```python title="quick_sort.py"
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""" 哨兵划分 """
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def partition(self, nums, left, right):
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""" 哨兵划分 """
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# 以 nums[left] 作为基准数
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i, j = left, right
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while i < j:
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@@ -333,8 +333,8 @@ comments: true
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=== "Python"
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```python title="quick_sort.py"
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""" 快速排序 """
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def quick_sort(self, nums, left, right):
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""" 快速排序 """
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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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return
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@@ -552,8 +552,8 @@ comments: true
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=== "Python"
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```python title="quick_sort.py"
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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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""" 选取三个元素的中位数 """
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# 此处使用异或运算来简化代码
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# 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1
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if (nums[left] < nums[mid]) ^ (nums[left] < nums[right]):
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@@ -562,8 +562,8 @@ comments: true
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return mid
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return right
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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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""" 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 = 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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@@ -845,8 +845,8 @@ comments: true
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=== "Python"
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```python title="quick_sort.py"
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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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""" 快速排序(尾递归优化) """
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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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