Format python codes with black. (#453)

This commit is contained in:
Yudong Jin
2023-04-09 05:05:35 +08:00
committed by GitHub
parent 1c8b7ef559
commit 5ddcb60825
45 changed files with 656 additions and 456 deletions

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@ -4,8 +4,9 @@ Created Time: 2022-11-25
Author: timi (xisunyy@163.com)
"""
def bubble_sort(nums: list[int]) -> None:
""" 冒泡排序 """
"""冒泡排序"""
n: int = len(nums)
# 外循环:待排序元素数量为 n-1, n-2, ..., 1
for i in range(n - 1, 0, -1):
@ -15,8 +16,9 @@ def bubble_sort(nums: list[int]) -> None:
# 交换 nums[j] 与 nums[j + 1]
nums[j], nums[j + 1] = nums[j + 1], nums[j]
def bubble_sort_with_flag(nums: list[int]) -> None:
""" 冒泡排序(标志优化) """
"""冒泡排序(标志优化)"""
n: int = len(nums)
# 外循环:待排序元素数量为 n-1, n-2, ..., 1
for i in range(n - 1, 0, -1):
@ -28,11 +30,11 @@ def bubble_sort_with_flag(nums: list[int]) -> None:
nums[j], nums[j + 1] = nums[j + 1], nums[j]
flag = True # 记录交换元素
if not flag:
break # 此轮冒泡未交换任何元素,直接跳出
break # 此轮冒泡未交换任何元素,直接跳出
""" Driver Code """
if __name__ == '__main__':
if __name__ == "__main__":
nums: list[int] = [4, 1, 3, 1, 5, 2]
bubble_sort(nums)
print("排序后数组 nums =", nums)

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@ -4,6 +4,7 @@ Created Time: 2023-03-30
Author: Krahets (krahets@163.com)
"""
def bucket_sort(nums: list[float]) -> None:
# 初始化 k = n/2 个桶,预期向每个桶分配 2 个元素
k = len(nums) // 2
@ -26,7 +27,7 @@ def bucket_sort(nums: list[float]) -> None:
i += 1
if __name__ == '__main__':
if __name__ == "__main__":
# 设输入数据为浮点数,范围为 [0, 1)
nums = [0.49, 0.96, 0.82, 0.09, 0.57, 0.43, 0.91, 0.75, 0.15, 0.37]
bucket_sort(nums)

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@ -4,8 +4,9 @@ Created Time: 2023-03-21
Author: Krahets (krahets@163.com)
"""
def counting_sort_naive(nums: list[int]) -> None:
""" 计数排序 """
"""计数排序"""
# 简单实现,无法用于排序对象
# 1. 统计数组最大元素 m
m = 0
@ -23,8 +24,9 @@ def counting_sort_naive(nums: list[int]) -> None:
nums[i] = num
i += 1
def counting_sort(nums: list[int]) -> None:
""" 计数排序 """
"""计数排序"""
# 完整实现,可排序对象,并且是稳定排序
# 1. 统计数组最大元素 m
m = max(nums)
@ -49,6 +51,7 @@ def counting_sort(nums: list[int]) -> None:
for i in range(n):
nums[i] = res[i]
""" Driver Code """
if __name__ == "__main__":
nums = [1, 0, 1, 2, 0, 4, 0, 2, 2, 4]

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@ -4,9 +4,10 @@ Created Time: 2022-11-25
Author: timi (xisunyy@163.com)
"""
def insertion_sort(nums: list[int]) -> None:
""" 插入排序 """
# 外循环base = nums[1], nums[2], ..., nums[n-1]
"""插入排序"""
# 外循环base = nums[1], nums[2], ..., nums[n-1]
for i in range(1, len(nums)):
base: int = nums[i]
j: int = i - 1
@ -14,11 +15,11 @@ def insertion_sort(nums: list[int]) -> None:
while j >= 0 and nums[j] > base:
nums[j + 1] = nums[j] # 1. 将 nums[j] 向右移动一位
j -= 1
nums[j + 1] = base # 2. 将 base 赋值到正确位置
nums[j + 1] = base # 2. 将 base 赋值到正确位置
""" Driver Code """
if __name__ == '__main__':
if __name__ == "__main__":
nums: list[int] = [4, 1, 3, 1, 5, 2]
insertion_sort(nums)
print("排序后数组 nums =", nums)

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@ -4,12 +4,13 @@ Created Time: 2022-11-25
Author: timi (xisunyy@163.com)
"""
def merge(nums: list[int], left: int, mid: int, right: int) -> None:
""" 合并左子数组和右子数组 """
"""合并左子数组和右子数组"""
# 左子数组区间 [left, mid]
# 右子数组区间 [mid + 1, right]
# 初始化辅助数组
tmp: list[int] = list(nums[left:right + 1])
tmp: list[int] = list(nums[left : right + 1])
# 左子数组的起始索引和结束索引
left_start: int = 0
left_end: int = mid - left
@ -34,21 +35,22 @@ def merge(nums: list[int], left: int, mid: int, right: int) -> None:
nums[k] = tmp[j]
j += 1
def merge_sort(nums: list[int], left: int, right: int) -> None:
""" 归并排序 """
"""归并排序"""
# 终止条件
if left >= right:
return # 当子数组长度为 1 时终止递归
return # 当子数组长度为 1 时终止递归
# 划分阶段
mid: int = (left + right) // 2 # 计算中点
merge_sort(nums, left, mid) # 递归左子数组
mid: int = (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
merge(nums, left, mid, right)
""" Driver Code """
if __name__ == '__main__':
nums: list[int] = [ 7, 3, 2, 6, 0, 1, 5, 4 ]
if __name__ == "__main__":
nums: list[int] = [7, 3, 2, 6, 0, 1, 5, 4]
merge_sort(nums, 0, len(nums) - 1)
print("归并排序完成后 nums =", nums)

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@ -4,10 +4,12 @@ Created Time: 2022-11-25
Author: timi (xisunyy@163.com)
"""
class QuickSort:
""" 快速排序类 """
"""快速排序类"""
def partition(self, nums: list[int], left: int, right: int) -> int:
""" 哨兵划分 """
"""哨兵划分"""
# 以 nums[left] 作为基准数
i, j = left, right
while i < j:
@ -22,7 +24,7 @@ class QuickSort:
return i # 返回基准数的索引
def quick_sort(self, nums: list[int], left: int, right: int) -> None:
""" 快速排序 """
"""快速排序"""
# 子数组长度为 1 时终止递归
if left >= right:
return
@ -32,10 +34,12 @@ class QuickSort:
self.quick_sort(nums, left, pivot - 1)
self.quick_sort(nums, pivot + 1, right)
class QuickSortMedian:
""" 快速排序类(中位基准数优化)"""
"""快速排序类(中位基准数优化)"""
def median_three(self, nums: list[int], left: int, mid: int, right: int) -> int:
""" 选取三个元素的中位数 """
"""选取三个元素的中位数"""
# 此处使用异或运算来简化代码
# 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1
if (nums[left] < nums[mid]) ^ (nums[left] < nums[right]):
@ -45,7 +49,7 @@ class QuickSortMedian:
return right
def partition(self, nums: list[int], left: int, right: int) -> int:
""" 哨兵划分(三数取中值) """
"""哨兵划分(三数取中值)"""
# 以 nums[left] 作为基准数
med: int = self.median_three(nums, left, (left + right) // 2, right)
# 将中位数交换至数组最左端
@ -64,7 +68,7 @@ class QuickSortMedian:
return i # 返回基准数的索引
def quick_sort(self, nums: list[int], left: int, right: int) -> None:
""" 快速排序 """
"""快速排序"""
# 子数组长度为 1 时终止递归
if left >= right:
return
@ -74,10 +78,12 @@ class QuickSortMedian:
self.quick_sort(nums, left, pivot - 1)
self.quick_sort(nums, pivot + 1, right)
class QuickSortTailCall:
""" 快速排序类(尾递归优化) """
"""快速排序类(尾递归优化)"""
def partition(self, nums: list[int], left: int, right: int) -> int:
""" 哨兵划分 """
"""哨兵划分"""
# 以 nums[left] 作为基准数
i, j = left, right
while i < j:
@ -92,7 +98,7 @@ class QuickSortTailCall:
return i # 返回基准数的索引
def quick_sort(self, nums: list[int], left: int, right: int) -> None:
""" 快速排序(尾递归优化) """
"""快速排序(尾递归优化)"""
# 子数组长度为 1 时终止
while left < right:
# 哨兵划分操作
@ -100,15 +106,15 @@ class QuickSortTailCall:
# 对两个子数组中较短的那个执行快排
if pivot - left < right - pivot:
self.quick_sort(nums, left, pivot - 1) # 递归排序左子数组
left = pivot + 1 # 剩余待排序区间为 [pivot + 1, right]
left = pivot + 1 # 剩余待排序区间为 [pivot + 1, right]
else:
self.quick_sort(nums, pivot + 1, right) # 递归排序右子数组
right = pivot - 1 # 剩余待排序区间为 [left, pivot - 1]
right = pivot - 1 # 剩余待排序区间为 [left, pivot - 1]
""" Driver Code """
if __name__ == '__main__':
# 快速排序
if __name__ == "__main__":
# 快速排序
nums: list[int] = [2, 4, 1, 0, 3, 5]
QuickSort().quick_sort(nums, 0, len(nums) - 1)
print("快速排序完成后 nums =", nums)

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@ -6,19 +6,20 @@ Author: Krahets (krahets@163.com)
def digit(num: int, exp: int) -> int:
""" 获取元素 num 的第 k 位,其中 exp = 10^(k-1) """
"""获取元素 num 的第 k 位,其中 exp = 10^(k-1)"""
# 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算
return (num // exp) % 10
def counting_sort_digit(nums: list[int], exp: int) -> None:
""" 计数排序(根据 nums 第 k 位排序) """
"""计数排序(根据 nums 第 k 位排序)"""
# 十进制的位范围为 0~9 ,因此需要长度为 10 的桶
counter = [0] * 10
n = len(nums)
# 统计 0~9 各数字的出现次数
for i in range(n):
d = digit(nums[i], exp) # 获取 nums[i] 第 k 位,记为 d
counter[d] += 1 # 统计数字 d 的出现次数
counter[d] += 1 # 统计数字 d 的出现次数
# 求前缀和,将“出现个数”转换为“数组索引”
for i in range(1, 10):
counter[i] += counter[i - 1]
@ -27,14 +28,15 @@ def counting_sort_digit(nums: list[int], exp: int) -> None:
for i in range(n - 1, -1, -1):
d = digit(nums[i], exp)
j = counter[d] - 1 # 获取 d 在数组中的索引 j
res[j] = nums[i] # 将当前元素填入索引 j
counter[d] -= 1 # 将 d 的数量减 1
res[j] = nums[i] # 将当前元素填入索引 j
counter[d] -= 1 # 将 d 的数量减 1
# 使用结果覆盖原数组 nums
for i in range(n):
nums[i] = res[i]
def radix_sort(nums: list[int]) -> None:
""" 基数排序 """
"""基数排序"""
# 获取数组的最大元素,用于判断最大位数
m = max(nums)
# 按照从低位到高位的顺序遍历
@ -47,10 +49,21 @@ def radix_sort(nums: list[int]) -> None:
counting_sort_digit(nums, exp)
exp *= 10
""" Driver Code """
if __name__ == '__main__':
if __name__ == "__main__":
# 基数排序
nums = [10546151, 35663510, 42865989, 34862445, 81883077,
88906420, 72429244, 30524779, 82060337, 63832996]
nums = [
10546151,
35663510,
42865989,
34862445,
81883077,
88906420,
72429244,
30524779,
82060337,
63832996,
]
radix_sort(nums)
print("基数排序完成后 nums =", nums)