Find Minimum in Rotated Sorted Array

Medium

Description

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.

Examples

Input:nums = [3,4,5,1,2]
Output:1
Explanation:

The original array was [1,2,3,4,5] rotated 3 times.

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

The original array was [0,1,2,4,5,6,7] rotated 4 times.

Input:nums = [11,13,15,17]
Output:11
Explanation:

The original array was not rotated.

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.

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