hello-algo/codes/python/chapter_searching/binary_search_edge.py
Yudong Jin a005c6ebd3
Some improvements (#1073)
* Update avatar's link in the landing page

* Bug fixes

* Move assets folder from overrides to docs

* Reduce figures' corner radius

* Update copyright

* Update header image

* Krahets -> krahets

* Update the landing page
2024-02-07 22:21:18 +08:00

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"""
File: binary_search_edge.py
Created Time: 2023-08-04
Author: krahets (krahets@163.com)
"""
import sys
from pathlib import Path
sys.path.append(str(Path(__file__).parent.parent))
from binary_search_insertion import binary_search_insertion
def binary_search_left_edge(nums: list[int], target: int) -> int:
"""二分查找最左一个 target"""
# 等价于查找 target 的插入点
i = binary_search_insertion(nums, target)
# 未找到 target ,返回 -1
if i == len(nums) or nums[i] != target:
return -1
# 找到 target ,返回索引 i
return i
def binary_search_right_edge(nums: list[int], target: int) -> int:
"""二分查找最右一个 target"""
# 转化为查找最左一个 target + 1
i = binary_search_insertion(nums, target + 1)
# j 指向最右一个 target i 指向首个大于 target 的元素
j = i - 1
# 未找到 target ,返回 -1
if j == -1 or nums[j] != target:
return -1
# 找到 target ,返回索引 j
return j
"""Driver Code"""
if __name__ == "__main__":
# 包含重复元素的数组
nums = [1, 3, 6, 6, 6, 6, 6, 10, 12, 15]
print(f"\n数组 nums = {nums}")
# 二分查找左边界和右边界
for target in [6, 7]:
index = binary_search_left_edge(nums, target)
print(f"最左一个元素 {target} 的索引为 {index}")
index = binary_search_right_edge(nums, target)
print(f"最右一个元素 {target} 的索引为 {index}")