给定一个按照升序排列的整数数组 nums,和一个目标值 target。找出给定目标值在数组中的开始位置和结束位置。
你的算法时间复杂度必须是 O(log n) 级别。
如果数组中不存在目标值,返回 [-1, -1]。
示例 1:
输入: nums = [5,7,7,8,8,10], target = 8
输出: [3,4]
示例 2:
输入: nums = [5,7,7,8,8,10], target = 6
输出: [-1,-1]
左右夹逼
class Solution:
def searchRange(self, nums, target):
"""
:type nums: List[int]
:type target: int
:rtype: List[int]
"""
if not nums:
return [-1, -1]
left, right = 0, len(nums) - 1
while nums[left] != target or nums[right] != target:
no_change = True
if nums[left] != target:
no_change = False
left += 1
if nums[right] != target:
right -= 1
no_change = False
if no_change or left >= right:
break
if left < len(nums) and nums[left] == target:
return [left, right]
else:
return [-1, -1]
36ms,二分查找
class Solution:
def searchRange(self, nums, target):
"""
:type nums: List[int]
:type target: int
:rtype: List[int]
"""
start = self.firstGreaterEqaul(nums, target)
if start==len(nums) or nums[start]!=target:
return [-1, -1]
return [start, self.firstGreaterEqaul(nums, target+1)-1]
def firstGreaterEqaul(self, nums, target):
lo, hi = 0, len(nums)
while lo<hi:
mid = (hi+lo)//2
if nums[mid]<target:
lo = mid + 1
else:
hi = mid
return lo
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