Problems / Find Minimum in Rotated Sorted Array
Medium

Find Minimum in Rotated Sorted Array

Medium 0 submissions 25 coins +100 XP
Array Binary Search
Problem Description
Suppose an array of length `n` sorted in ascending order is **rotated** between 1 and `n` times. For example, the array `nums = [0,1,2,4,5,6,7]` might become: - `[4,5,6,7,0,1,2]` if it was rotated 4 times. - `[0,1,2,4,5,6,7]` if it was rotated 7 times. Notice that rotating an array `[a[0], a[1], a[2], ..., a[n-1]]` 1 time results in the array `[a[n-1], a[0], a[1], a[2], ..., a[n-2]]`. 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 Explanation: The original array was [0,1,2,4,5,6,7] and it was rotated 4 times. **Example 3:** Input: nums = [11,13,15,17] Output: 11 Explanation: The original array was [11,13,15,17] and it was rotated 4 times.
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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