Find Minimum in Rotated Sorted Array

Medium
ArrayBinary Search

Find Minimum in Rotated Sorted Array

Suppose an array of length n sorted in ascending order is rotated between 1 and n times.

Given the sorted rotated array nums of unique elements, return the minimum element of this array.

You must write an algorithm that runs in O(log n) time.

Example 1:

Input: nums = [3,4,5,1,2]
Output: 1
Explanation: The original array was [1,2,3,4,5] rotated 3 times.

Example 2:

Input: nums = [4,5,6,7,0,1,2]
Output: 0

Examples

Input: nums = [3,4,5,1,2]
Output: 1
Input: nums = [4,5,6,7,0,1,2]
Output: 0
Input: nums = [11,13,15,17]
Output: 11

Constraints

  • •n == nums.length
  • •1 <= n <= 5000
  • •-5000 <= nums[i] <= 5000
  • •All the integers of nums are unique.
  • •nums is sorted and rotated between 1 and n times.