Problem
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:
Input: nums = [5,7,7,8,8,10], target = 8
Output: [3,4]
Example 2:
Input: nums = [5,7,7,8,8,10], target = 6
Output: [-1,-1]
Solution
Do binary search twice for finding left and right boundaries.
Complexity
Although there are two binary search manipulations, it’s time complexity is still O(2logn) = O(logn) if n
denotes to length of nums
.
It’s trivial that space complexity is O(1).