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154. Find Minimum in Rotated Sorted Array II

HardOpen on LeetCodeProblem statement

Problem Statement

154. Find Minimum in Rotated Sorted Array II

Hard


Suppose an array of length n sorted in ascending order is rotated between 1 and n times. For example, the array nums = [0,1,4,4,5,6,7] might become:

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 that may contain duplicates, return the minimum element of this array.

You must decrease the overall operation steps as much as possible.

 

Example 1:

Input: nums = [1,3,5]
Output: 1

Example 2:

Input: nums = [2,2,2,0,1]
Output: 0

 

Constraints:

 

Follow up: This problem is similar to Find Minimum in Rotated Sorted Array, but nums may contain duplicates. Would this affect the runtime complexity? How and why?

 

Java

Source file
class Solution {
    public int findMin(int[] nums) {
        int n = nums.length, lt = 0, rt = n - 1;
        while (lt != rt) {
            int mid = ((lt + rt + (rt < lt ? n : 0)) / 2) % n;
            if (nums[mid] < nums[rt])
                rt = mid;
            else if (nums[mid] == nums[rt])
                rt--;
            else
                lt = mid + 1;
        }
        return nums[lt];
    }
}