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https://github.com/krahets/hello-algo.git
synced 2025-11-02 21:24:53 +08:00
Format python codes with black. (#453)
This commit is contained in:
@ -4,8 +4,9 @@ Created Time: 2022-11-25
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Author: timi (xisunyy@163.com)
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"""
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def bubble_sort(nums: list[int]) -> None:
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""" 冒泡排序 """
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"""冒泡排序"""
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n: int = 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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@ -15,8 +16,9 @@ def bubble_sort(nums: list[int]) -> None:
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# 交换 nums[j] 与 nums[j + 1]
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nums[j], nums[j + 1] = nums[j + 1], nums[j]
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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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"""冒泡排序(标志优化)"""
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n: int = 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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@ -28,11 +30,11 @@ def bubble_sort_with_flag(nums: list[int]) -> None:
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nums[j], nums[j + 1] = nums[j + 1], nums[j]
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flag = True # 记录交换元素
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if not flag:
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break # 此轮冒泡未交换任何元素,直接跳出
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break # 此轮冒泡未交换任何元素,直接跳出
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""" Driver Code """
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if __name__ == '__main__':
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if __name__ == "__main__":
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nums: list[int] = [4, 1, 3, 1, 5, 2]
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bubble_sort(nums)
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print("排序后数组 nums =", nums)
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@ -4,6 +4,7 @@ Created Time: 2023-03-30
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Author: Krahets (krahets@163.com)
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"""
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def bucket_sort(nums: list[float]) -> None:
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# 初始化 k = n/2 个桶,预期向每个桶分配 2 个元素
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k = len(nums) // 2
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@ -26,7 +27,7 @@ def bucket_sort(nums: list[float]) -> None:
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i += 1
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if __name__ == '__main__':
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if __name__ == "__main__":
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# 设输入数据为浮点数,范围为 [0, 1)
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nums = [0.49, 0.96, 0.82, 0.09, 0.57, 0.43, 0.91, 0.75, 0.15, 0.37]
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bucket_sort(nums)
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@ -4,8 +4,9 @@ Created Time: 2023-03-21
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Author: Krahets (krahets@163.com)
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"""
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def counting_sort_naive(nums: list[int]) -> None:
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""" 计数排序 """
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"""计数排序"""
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# 简单实现,无法用于排序对象
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# 1. 统计数组最大元素 m
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m = 0
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@ -23,8 +24,9 @@ def counting_sort_naive(nums: list[int]) -> None:
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nums[i] = num
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i += 1
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def counting_sort(nums: list[int]) -> None:
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""" 计数排序 """
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"""计数排序"""
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# 完整实现,可排序对象,并且是稳定排序
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# 1. 统计数组最大元素 m
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m = max(nums)
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@ -49,6 +51,7 @@ def counting_sort(nums: list[int]) -> None:
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for i in range(n):
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nums[i] = res[i]
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""" Driver Code """
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if __name__ == "__main__":
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nums = [1, 0, 1, 2, 0, 4, 0, 2, 2, 4]
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@ -4,9 +4,10 @@ Created Time: 2022-11-25
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Author: timi (xisunyy@163.com)
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"""
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def insertion_sort(nums: list[int]) -> None:
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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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"""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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@ -14,11 +15,11 @@ def insertion_sort(nums: list[int]) -> None:
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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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j -= 1
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nums[j + 1] = base # 2. 将 base 赋值到正确位置
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nums[j + 1] = base # 2. 将 base 赋值到正确位置
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""" Driver Code """
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if __name__ == '__main__':
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if __name__ == "__main__":
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nums: list[int] = [4, 1, 3, 1, 5, 2]
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insertion_sort(nums)
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print("排序后数组 nums =", nums)
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@ -4,12 +4,13 @@ Created Time: 2022-11-25
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Author: timi (xisunyy@163.com)
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"""
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def merge(nums: list[int], left: int, mid: int, right: int) -> None:
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""" 合并左子数组和右子数组 """
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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
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tmp: list[int] = list(nums[left:right + 1])
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tmp: list[int] = 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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@ -34,21 +35,22 @@ def merge(nums: list[int], left: int, mid: int, right: int) -> None:
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nums[k] = tmp[j]
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j += 1
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def merge_sort(nums: list[int], left: int, right: int) -> None:
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""" 归并排序 """
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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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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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merge_sort(nums, left, mid) # 递归左子数组
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mid: int = (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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merge(nums, left, mid, right)
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""" Driver Code """
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if __name__ == '__main__':
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nums: list[int] = [ 7, 3, 2, 6, 0, 1, 5, 4 ]
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if __name__ == "__main__":
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nums: list[int] = [7, 3, 2, 6, 0, 1, 5, 4]
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merge_sort(nums, 0, len(nums) - 1)
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print("归并排序完成后 nums =", nums)
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@ -4,10 +4,12 @@ Created Time: 2022-11-25
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Author: timi (xisunyy@163.com)
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"""
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class QuickSort:
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""" 快速排序类 """
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"""快速排序类"""
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def partition(self, nums: list[int], left: int, right: int) -> int:
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""" 哨兵划分 """
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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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@ -22,7 +24,7 @@ class QuickSort:
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return i # 返回基准数的索引
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def quick_sort(self, nums: list[int], left: int, right: int) -> None:
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""" 快速排序 """
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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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@ -32,10 +34,12 @@ class QuickSort:
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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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class QuickSortMedian:
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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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def median_three(self, nums: list[int], left: int, mid: int, right: int) -> int:
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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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# 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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@ -45,7 +49,7 @@ class QuickSortMedian:
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return right
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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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"""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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# 将中位数交换至数组最左端
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@ -64,7 +68,7 @@ class QuickSortMedian:
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return i # 返回基准数的索引
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def quick_sort(self, nums: list[int], left: int, right: int) -> None:
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""" 快速排序 """
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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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@ -74,10 +78,12 @@ class QuickSortMedian:
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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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class QuickSortTailCall:
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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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def partition(self, nums: list[int], left: int, right: int) -> int:
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""" 哨兵划分 """
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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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@ -92,7 +98,7 @@ class QuickSortTailCall:
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return i # 返回基准数的索引
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def quick_sort(self, nums: list[int], left: int, right: int) -> None:
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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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# 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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@ -100,15 +106,15 @@ class QuickSortTailCall:
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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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left = pivot + 1 # 剩余待排序区间为 [pivot + 1, right]
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left = pivot + 1 # 剩余待排序区间为 [pivot + 1, right]
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else:
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self.quick_sort(nums, pivot + 1, right) # 递归排序右子数组
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right = pivot - 1 # 剩余待排序区间为 [left, pivot - 1]
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right = pivot - 1 # 剩余待排序区间为 [left, pivot - 1]
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""" Driver Code """
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if __name__ == '__main__':
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# 快速排序
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if __name__ == "__main__":
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# 快速排序
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nums: list[int] = [2, 4, 1, 0, 3, 5]
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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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@ -6,19 +6,20 @@ Author: Krahets (krahets@163.com)
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def digit(num: int, exp: int) -> int:
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""" 获取元素 num 的第 k 位,其中 exp = 10^(k-1) """
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"""获取元素 num 的第 k 位,其中 exp = 10^(k-1)"""
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# 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算
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return (num // exp) % 10
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def counting_sort_digit(nums: list[int], exp: int) -> None:
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""" 计数排序(根据 nums 第 k 位排序) """
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"""计数排序(根据 nums 第 k 位排序)"""
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# 十进制的位范围为 0~9 ,因此需要长度为 10 的桶
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counter = [0] * 10
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n = len(nums)
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# 统计 0~9 各数字的出现次数
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for i in range(n):
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d = digit(nums[i], exp) # 获取 nums[i] 第 k 位,记为 d
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counter[d] += 1 # 统计数字 d 的出现次数
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counter[d] += 1 # 统计数字 d 的出现次数
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# 求前缀和,将“出现个数”转换为“数组索引”
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for i in range(1, 10):
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counter[i] += counter[i - 1]
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@ -27,14 +28,15 @@ def counting_sort_digit(nums: list[int], exp: int) -> None:
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for i in range(n - 1, -1, -1):
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d = digit(nums[i], exp)
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j = counter[d] - 1 # 获取 d 在数组中的索引 j
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res[j] = nums[i] # 将当前元素填入索引 j
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counter[d] -= 1 # 将 d 的数量减 1
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res[j] = nums[i] # 将当前元素填入索引 j
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counter[d] -= 1 # 将 d 的数量减 1
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# 使用结果覆盖原数组 nums
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for i in range(n):
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nums[i] = res[i]
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def radix_sort(nums: list[int]) -> None:
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""" 基数排序 """
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"""基数排序"""
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# 获取数组的最大元素,用于判断最大位数
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m = max(nums)
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# 按照从低位到高位的顺序遍历
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@ -47,10 +49,21 @@ def radix_sort(nums: list[int]) -> None:
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counting_sort_digit(nums, exp)
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exp *= 10
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""" Driver Code """
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if __name__ == '__main__':
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if __name__ == "__main__":
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# 基数排序
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nums = [10546151, 35663510, 42865989, 34862445, 81883077,
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88906420, 72429244, 30524779, 82060337, 63832996]
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nums = [
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10546151,
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35663510,
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42865989,
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34862445,
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81883077,
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88906420,
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72429244,
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30524779,
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82060337,
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63832996,
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]
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radix_sort(nums)
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print("基数排序完成后 nums =", nums)
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