Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand. (i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2). Find the minimum element. The complexity must be O(logN) You may assume no duplicate exists in the array. """ def find_min_rotate(array):     """     Finds the minimum element in a sorted array that has been rotated.     """     low = 0     high = len(array) - 1     while low < high:         mid = (low + high) // 2         if array[mid] > array[high]:             low = mid + 1         else:             high = mid     return array[low] def find_min_rotate_recur(array, low, high):     """     Finds the minimum element in a sorted array that has been rotated.     """     mid = (low + high) // 2     if mid == low:.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Suppose an array sorted in ascending order is rotated at some pivot unknown
to you beforehand. (i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).
Find the minimum element. The complexity must be O(logN)
You may assume no duplicate exists in the array.
"""
def find_min_rotate(array):
    """
    Finds the minimum element in a sorted array that has been rotated.
    """
    low = 0
    high = len(array) - 1
    while low < high:
        mid = (low + high) // 2
        if array[mid] > array[high]:
            low = mid + 1
        else:
            high = mid

    return array[low]

def find_min_rotate_recur(array, low, high):
    """
    Finds the minimum element in a sorted array that has been rotated.
    """
    mid = (low + high) // 2
    if mid == low:.

 

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