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https://github.com/krahets/hello-algo.git
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Format python codes with black. (#453)
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@ -4,8 +4,9 @@ Created Time: 2022-11-25
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Author: Krahets (krahets@163.com)
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"""
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def two_sum_brute_force(nums: list[int], target: int) -> list[int]:
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""" 方法一:暴力枚举 """
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"""方法一:暴力枚举"""
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# 两层循环,时间复杂度 O(n^2)
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for i in range(len(nums) - 1):
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for j in range(i + 1, len(nums)):
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@ -13,8 +14,9 @@ def two_sum_brute_force(nums: list[int], target: int) -> list[int]:
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return [i, j]
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return []
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def two_sum_hash_table(nums: list[int], target: int) -> list[int]:
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""" 方法二:辅助哈希表 """
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"""方法二:辅助哈希表"""
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# 辅助哈希表,空间复杂度 O(n)
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dic = {}
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# 单层循环,时间复杂度 O(n)
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@ -26,11 +28,11 @@ def two_sum_hash_table(nums: list[int], target: int) -> list[int]:
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""" Driver Code """
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if __name__ == '__main__':
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if __name__ == "__main__":
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# ======= Test Case =======
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nums = [2,7,11,15]
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nums = [2, 7, 11, 15]
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target = 9
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# ====== Driver Code ======
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# 方法一
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res: list[int] = two_sum_brute_force(nums, target)
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@ -5,16 +5,19 @@ Author: Krahets (krahets@163.com)
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"""
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import sys, os.path as osp
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sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
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from modules import *
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def function() -> int:
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""" 函数 """
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"""函数"""
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# do something
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return 0
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def constant(n: int) -> None:
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""" 常数阶 """
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"""常数阶"""
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# 常量、变量、对象占用 O(1) 空间
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a: int = 0
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nums: list[int] = [0] * 10000
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@ -26,8 +29,9 @@ def constant(n: int) -> None:
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for _ in range(n):
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function()
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def linear(n: int) -> None:
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""" 线性阶 """
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"""线性阶"""
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# 长度为 n 的列表占用 O(n) 空间
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nums: list[int] = [0] * n
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# 长度为 n 的哈希表占用 O(n) 空间
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@ -35,27 +39,34 @@ def linear(n: int) -> None:
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for i in range(n):
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mapp[i] = str(i)
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def linear_recur(n: int) -> None:
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""" 线性阶(递归实现) """
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"""线性阶(递归实现)"""
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print("递归 n =", n)
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if n == 1: return
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if n == 1:
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return
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linear_recur(n - 1)
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def quadratic(n: int) -> None:
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""" 平方阶 """
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"""平方阶"""
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# 二维列表占用 O(n^2) 空间
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num_matrix: list[list[int]] = [[0] * n for _ in range(n)]
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def quadratic_recur(n: int) -> int:
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""" 平方阶(递归实现) """
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if n <= 0: return 0
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"""平方阶(递归实现)"""
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if n <= 0:
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return 0
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# 数组 nums 长度为 n, n-1, ..., 2, 1
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nums: list[int] = [0] * n
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return quadratic_recur(n - 1)
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def build_tree(n: int) -> TreeNode | None:
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""" 指数阶(建立满二叉树) """
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if n == 0: return None
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"""指数阶(建立满二叉树)"""
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if n == 0:
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return None
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root = TreeNode(0)
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root.left = build_tree(n - 1)
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root.right = build_tree(n - 1)
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@ -4,31 +4,35 @@ Created Time: 2022-11-25
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Author: Krahets (krahets@163.com)
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"""
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def constant(n: int) -> int:
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""" 常数阶 """
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"""常数阶"""
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count: int = 0
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size: int = 100000
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for _ in range(size):
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count += 1
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return count
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def linear(n: int) -> int:
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""" 线性阶 """
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"""线性阶"""
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count: int = 0
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for _ in range(n):
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count += 1
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return count
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def array_traversal(nums: list[int]) -> int:
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""" 线性阶(遍历数组)"""
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"""线性阶(遍历数组)"""
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count: int = 0
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# 循环次数与数组长度成正比
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for num in nums:
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count += 1
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return count
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def quadratic(n: int) -> int:
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""" 平方阶 """
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"""平方阶"""
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count: int = 0
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# 循环次数与数组长度成平方关系
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for i in range(n):
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@ -36,8 +40,9 @@ def quadratic(n: int) -> int:
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count += 1
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return count
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def bubble_sort(nums: list[int]) -> int:
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""" 平方阶(冒泡排序)"""
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"""平方阶(冒泡排序)"""
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count: int = 0 # 计数器
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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(len(nums) - 1, 0, -1):
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@ -51,8 +56,9 @@ def bubble_sort(nums: list[int]) -> int:
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count += 3 # 元素交换包含 3 个单元操作
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return count
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def exponential(n: int) -> int:
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""" 指数阶(循环实现)"""
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"""指数阶(循环实现)"""
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count: int = 0
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base: int = 1
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# cell 每轮一分为二,形成数列 1, 2, 4, 8, ..., 2^(n-1)
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@ -63,36 +69,44 @@ def exponential(n: int) -> int:
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# count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
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return count
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def exp_recur(n: int) -> int:
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""" 指数阶(递归实现)"""
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if n == 1: return 1
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"""指数阶(递归实现)"""
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if n == 1:
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return 1
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return exp_recur(n - 1) + exp_recur(n - 1) + 1
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def logarithmic(n: float) -> int:
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""" 对数阶(循环实现)"""
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"""对数阶(循环实现)"""
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count: int = 0
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while n > 1:
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n = n / 2
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count += 1
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return count
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def log_recur(n: float) -> int:
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""" 对数阶(递归实现)"""
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if n <= 1: return 0
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"""对数阶(递归实现)"""
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if n <= 1:
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return 0
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return log_recur(n / 2) + 1
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def linear_log_recur(n: float) -> int:
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""" 线性对数阶 """
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if n <= 1: return 1
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count: int = linear_log_recur(n // 2) + \
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linear_log_recur(n // 2)
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"""线性对数阶"""
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if n <= 1:
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return 1
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count: int = linear_log_recur(n // 2) + linear_log_recur(n // 2)
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for _ in range(n):
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count += 1
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return count
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def factorial_recur(n: int) -> int:
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""" 阶乘阶(递归实现)"""
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if n == 0: return 1
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"""阶乘阶(递归实现)"""
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if n == 0:
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return 1
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count: int = 0
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# 从 1 个分裂出 n 个
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for _ in range(n):
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@ -6,16 +6,18 @@ Author: Krahets (krahets@163.com)
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import random
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def random_numbers(n: int) -> list[int]:
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""" 生成一个数组,元素为: 1, 2, ..., n ,顺序被打乱 """
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"""生成一个数组,元素为: 1, 2, ..., n ,顺序被打乱"""
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# 生成数组 nums =: 1, 2, 3, ..., n
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nums: list[int] = [i for i in range(1, n + 1)]
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# 随机打乱数组元素
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random.shuffle(nums)
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return nums
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def find_one(nums: list[int]) -> int:
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""" 查找数组 nums 中数字 1 所在索引 """
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"""查找数组 nums 中数字 1 所在索引"""
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for i in range(len(nums)):
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# 当元素 1 在数组头部时,达到最佳时间复杂度 O(1)
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# 当元素 1 在数组尾部时,达到最差时间复杂度 O(n)
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