diff --git a/work/Medium/Array/153.find-minimum-in-rotated-sorted-array.py b/work/Medium/Array/153.find-minimum-in-rotated-sorted-array.py new file mode 100644 index 0000000..6ca1916 --- /dev/null +++ b/work/Medium/Array/153.find-minimum-in-rotated-sorted-array.py @@ -0,0 +1,75 @@ +""" +153. Find Minimum in Rotated Sorted Array +Difficulty: Medium +https://leetcode.com/problems/find-minimum-in-rotated-sorted-array/ + +────────────────────────────────────────────────── + +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. +""" + + +class Solution: + def findMin(self, nums: List[int]) -> int: + l, r = 0, len(nums) - 1 + lowest_index = -1 + + while l <= r: + m = (l + r) // 2 + if nums[m] <= nums[-1]: + lowest_index = m + r = m - 1 + else: + l = m + 1 + + return nums[lowest_index]