543. Find minimum in rotated sorted array - II

0

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: [4,5,6,7,0,1,4] if it was rotated 4 times. [0,1,4,4,5,6,7] 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** that may contain **duplicates** , Print the minimum element of this array. ***Note : You must decrease the overall operation steps as much as possible.***

Input Format

First line contains an integer n.
Second line contains an integer array nums.

Output Format

Print the minimum element of the array.

Example

Input

5 3 3 3 1 2

Output

1

Constraints

* 1 <= n <= 105
* -104 <= nums[i] <= 104
* nums is sorted and rotated between 1 and n times.
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