LeetCode 34 Search for a Range

用不同的二分查找方式找到最左边和最右边的target

Given an array of integers nums sorted in ascending order, find the starting and ending position of a given target value.

Your algorithm’s runtime complexity must be in the order of O(log n).

If the target is not found in the array, return [-1, -1].

Example 1:

1
2
3
> Input: nums = [5,7,7,8,8,10], target = 8
> Output: [3,4]
>

Example 2:

1
2
3
> Input: nums = [5,7,7,8,8,10], target = 6
> Output: [-1,-1]
>

Python Code

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
class Solution:
def searchRange(self, nums, target):
"""
:type nums: List[int]
:type target: int
:rtype: List[int]
"""
if len(nums) == 0:
return [-1, -1]
l = 0
r = len(nums)-1
# left most
while l <= r:
mid = (l+r) // 2
if nums[mid] >= target:
r = mid-1
else:
l = mid+1
if l >= len(nums) or nums[l] != target:
return [-1, -1]
left = l

l = 0
r = len(nums)-1
# right most
while l <= r:
mid = (l+r) // 2
if nums[mid] > target:
r = mid-1
else:
l = mid+1
right = r
return [left, right]